- HBA · 4 years
- Work experience details
- ~High 80s to low 90s



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Checked 2026-11-09
Duration (years)
4 years from high school; normally 3 years after Quebec CEGEP
McGill Science, Arts and Arts/Science freshman and CEGEP routesWork experience
Optional Science Industrial Practicum or Internship Year in Science.
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Fall 2027 entry · Applicants studying or last studying at an overseas or U.S. school, college or university
Entry terms · Fall
September 2027 first-year entry. This BSc group was not offered for January 2027.
McGill Science application group choices and transfersOntario curriculum applicants attending a school in Canada; BA & Sc and Science degree groups
Ontario-curriculum applicants in Canada with additional IB Diploma, individual IB or AP examinations
Ontario high-school applicants in Canada
Canadian high-school applicants completing school in Canada outside Ontario and Quebec
Applicants assessed on the full IB Diploma
U.S. high-school applicants assessed on their U.S. diploma
Applicants assessed on Advanced Levels or equivalent
Applicants assessed on prior university study
Applicants completing a Quebec pre-university DEC
Applicants to the Faculty of Science
The admission average has not been researched for this program.
Select the Physical, Earth, Math and Computer Science application group. Environment domains have their own course combinations; some also have routes in other degrees.
BSc
Study advanced mathematics and its applications.
Separate study choices within this entry program. Each course block belongs to its named choice; it is not required of every student in the degree.
Published required and complementary course choices for the 59-credit Chemistry Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 59 credits for this program; faculty-wide degree and foundation requirements apply separately.
Thermodynamics. Topics include gas laws, kinetic theory of collisions, heat capacity, enthalpy, thermochemistry, bond energies, the entropy and free energy functions, absolute entropies, Maxwell relations and chemical and thermodynamic equilibrium states, phase rule and phase diagrams, ideal solutions, colligative properties, solubility, electrochemistry, Debye-Hückel Theory.
MCGILL complete current official course definitionA fundamental study of aromatic and polar unsaturated functional groups including reaction mechanisms, multi-step synthesis, regioselectivity, and modern spectroscopic techniques for structure determination.
MCGILL complete current official course definitionQualitative and quantitative analysis. A survey of methods of analysis including theory and practice of semimicro qualitative analysis and representative gravimetric, volumetric and instrumental methods. The laboratory component includes introductory experiments in analytical chemistry emphasizing classical and instrumental methods of quantitative analysis.
MCGILL complete current official course definitionKinetics: Transition State Theory, complex reactions, free-radical reactions, chain reactions, catalysis, reactions at surfaces, ionic effects of reactions in solution, photochemistry. Methods: physical chemistry laboratory, differential equations and linear algebra applied to physical chemistry, computation methods for data analysis and modeling
MCGILL complete current official course definitionBasic concepts of electronic structure and molecular bonding will be developed and applied to the understanding of common materials. Acid-base chemistry. Survey of the chemistry of the main group elements. Introduction to coordination and organometallic chemistry.
MCGILL complete current official course definitionTopics covered may include the following: Aromatic compounds, heterocyclic chemistry, sulfur and phosphorus chemistry, organosulfur and organophosphorus compounds, and biomolecules such as lipids, carbohydrates, amino acids, polypeptides, DNA and RNA.
MCGILL complete current official course definitionAn introduction to biological chemistry. Topics will include chemistry and structure of proteins, nucleic acids, and lipids; protein and nucleic acid biosynthesis; enzyme kinetics and mechanisms; membranes and membrane transport; bioenergetics; redox reactions in biological chemistry; gene expression; cloning, RNA and antibody technologies; genomics and proteomics.
MCGILL complete current official course definitionAn introduction to quantum chemistry covering the historical development, wave theory, methods of quantum mechanics, and applications of quantum chemistry.
MCGILL complete current official course definitionA survey of the principles of electronic, vibrational and rotational spectroscopy. Magnetic resonance and computational methods.
MCGILL complete current official course definitionMolecular basis of thermodynamics with applications to ideal gases and simple solids. Topics to be covered will include: calculation of thermodynamic functions, chemical equilibrium constants, Einstein and Debye models of solids, absolute reaction rate theory, Debye-Hückel theory of strong electrolytes.
MCGILL complete current official course definitionAn introduction to modern instrumental analysis emphasizing chromatography, atomic spectroscopy and computational data analysis. Analytical methods to be examined in detail include gas-liquid and high performance liquid chromatography, LC mass spectrometry, and common methods of atomic determinations using flames/furnaces/plasma sources.
MCGILL complete current official course definitionSpectroscopic methods of analysis will be studied with respect to fundamentals, operational aspects and instrument design. Topics will range from UV-visible to x-ray spectrometry. Methodologies will be evaluated with respect to their application in spectrometric systems. Laboratory automation will be studied and applied in the laboratory.
MCGILL complete current official course definitionIntroduction to transition metal chemistry, coordination numbers and geometry, and nomenclature will be followed by a discussion of crystal field theory and its applications to problems in spectroscopy, magnetochemistry, thermodynamics and kinetics. Several aspects related to applications of organometallic compounds in catalysis and bioinorganic systems will be discussed.
MCGILL complete current official course definitionExperiments related to the theoretical principles, synthetic techniques and instrumental methods used in modern experimental chemistry, including aspects of green chemistry and nanochemistry.
MCGILL complete current official course definitionSelected experiments to illustrate more advanced physico-chemical principles.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionProperties of electromagnetic fields, dipole and quadropole fields and their interactions, chemical binding of molecules, electromagnetic properties of materials, Maxwell's equations and properties of electromagnetic waves, propagation of waves in media.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Chemistry - Bio-organic Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
The physical and chemical properties of the cell and its components in relation to their structure and function. Topics include: protein structure, enzymes and enzyme kinetics; nucleic acid replication, transcription and translation; the genetic code, mutation, recombination, and regulation of gene expression.
MCGILL complete current official course definitionThis course introduces the student to our modern understanding of cells and how they work. Major topics to be covered include: photosynthesis, energy metabolism and metabolic integration; plasma membrane including secretion, endocytosis and contact mediated interactions between cells; cytoskeleton including cell and organelle movement; the nervous system; hormone signaling; the cell cycle.
MCGILL complete current official course definitionThermodynamics. Topics include gas laws, kinetic theory of collisions, heat capacity, enthalpy, thermochemistry, bond energies, the entropy and free energy functions, absolute entropies, Maxwell relations and chemical and thermodynamic equilibrium states, phase rule and phase diagrams, ideal solutions, colligative properties, solubility, electrochemistry, Debye-Hückel Theory.
MCGILL complete current official course definitionA fundamental study of aromatic and polar unsaturated functional groups including reaction mechanisms, multi-step synthesis, regioselectivity, and modern spectroscopic techniques for structure determination.
MCGILL complete current official course definitionQualitative and quantitative analysis. A survey of methods of analysis including theory and practice of semimicro qualitative analysis and representative gravimetric, volumetric and instrumental methods. The laboratory component includes introductory experiments in analytical chemistry emphasizing classical and instrumental methods of quantitative analysis.
MCGILL complete current official course definitionKinetics: Transition State Theory, complex reactions, free-radical reactions, chain reactions, catalysis, reactions at surfaces, ionic effects of reactions in solution, photochemistry. Methods: physical chemistry laboratory, differential equations and linear algebra applied to physical chemistry, computation methods for data analysis and modeling
MCGILL complete current official course definitionBasic concepts of electronic structure and molecular bonding will be developed and applied to the understanding of common materials. Acid-base chemistry. Survey of the chemistry of the main group elements. Introduction to coordination and organometallic chemistry.
MCGILL complete current official course definitionTopics covered may include the following: Aromatic compounds, heterocyclic chemistry, sulfur and phosphorus chemistry, organosulfur and organophosphorus compounds, and biomolecules such as lipids, carbohydrates, amino acids, polypeptides, DNA and RNA.
MCGILL complete current official course definitionAn introduction to quantum chemistry covering the historical development, wave theory, methods of quantum mechanics, and applications of quantum chemistry.
MCGILL complete current official course definitionA survey of the principles of electronic, vibrational and rotational spectroscopy. Magnetic resonance and computational methods.
MCGILL complete current official course definitionAn introduction to modern instrumental analysis emphasizing chromatography, atomic spectroscopy and computational data analysis. Analytical methods to be examined in detail include gas-liquid and high performance liquid chromatography, LC mass spectrometry, and common methods of atomic determinations using flames/furnaces/plasma sources.
MCGILL complete current official course definitionSpectroscopic methods of analysis will be studied with respect to fundamentals, operational aspects and instrument design. Topics will range from UV-visible to x-ray spectrometry. Methodologies will be evaluated with respect to their application in spectrometric systems. Laboratory automation will be studied and applied in the laboratory.
MCGILL complete current official course definitionIntroduction to transition metal chemistry, coordination numbers and geometry, and nomenclature will be followed by a discussion of crystal field theory and its applications to problems in spectroscopy, magnetochemistry, thermodynamics and kinetics. Several aspects related to applications of organometallic compounds in catalysis and bioinorganic systems will be discussed.
MCGILL complete current official course definitionExperiments related to the theoretical principles, synthetic techniques and instrumental methods used in modern experimental chemistry, including aspects of green chemistry and nanochemistry.
MCGILL complete current official course definitionSelected experiments to illustrate more advanced physico-chemical principles.
MCGILL complete current official course definitionThis course will cover biologically relevant molecules, particularly nucleic acids, proteins, and their building blocks. In each case, synthesis and biological functions will be discussed. The topics include synthesis of oligonucleotides and peptides; chemistry of phosphates; enzyme structure and function; coenzymes, and enzyme catalysis; polyketides; antiviral and anticancer agents.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionProperties of electromagnetic fields, dipole and quadropole fields and their interactions, chemical binding of molecules, electromagnetic properties of materials, Maxwell's equations and properties of electromagnetic waves, propagation of waves in media.
MCGILL complete current official course definitionIntroduction to basic principles, and to modern advances, problems and applications in the genetics of higher and lower organisms with examples representative of the biological sciences.
MCGILL complete current official course definitionAn introduction to biology research and communication with a focus on cell and molecular biology. Through conducting a series of project-based experiments and writing a final report, molecular and synthetic biology techniques such as gene cloning, manipulation, protein isolation and characterization and how research is conducted, analyzed and communicated will be addressed. In addition, an introduction to bioinformatics methods and their role in analysis will be provided.
MCGILL complete current official course definitionMolecular basis of thermodynamics with applications to ideal gases and simple solids. Topics to be covered will include: calculation of thermodynamic functions, chemical equilibrium constants, Einstein and Debye models of solids, absolute reaction rate theory, Debye-Hückel theory of strong electrolytes.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionA general treatment of microbiology bearing specifically on the biological properties of microorganisms. Emphasis will be on procaryotic cells. Basic principles of microbial genetics are also introduced.
MCGILL complete current official course definitionPhysiology of body fluids, blood, body defense mechanisms, muscle, peripheral, central, and autonomic nervous systems.
MCGILL complete current official course definitionPhysiology of cardiovascular, respiratory, digestive, endocrine and renal systems.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Computer Science Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
MCGILL complete current official course definitionComprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionData Structures: priority queues, balanced binary search trees, hash tables, graphs. Algorithms: topological sort, connected components, shortest paths, minimum spanning trees, bipartite matching, network flows. Algorithm design: greedy, divide and conquer, dynamic programming, randomization. Mathematicaltools: proofs of asymptotic complexity and program correctness, Master theorem.
MCGILL complete current official course definitionNumber representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
MCGILL complete current official course definitionProgramming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
MCGILL complete current official course definitionPrinciples, mechanisms, techniques, and tools for object-oriented software design and its implementation, including encapsulation, design patterns, and unit testing.
MCGILL complete current official course definitionControl and scheduling of large information processing systems. Operating system software - resource allocation, dispatching, processors, access methods, job control languages, main storage management. Batch processing, multiprogramming, multiprocessing, time sharing.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionIntroduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
MCGILL complete current official course definitionFinite automata, regular languages, context-free languages, push-down automata, models of computation, computability theory, undecidability, reduction techniques.
MCGILL complete current official course definitionComputer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Least-squares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
MCGILL complete current official course definitionAdvanced algorithm design and analysis. Linear programming, complexity and NP-completeness, advanced algorithmic techniques.
MCGILL complete current official course definitionPropositional logic: truth-tables, formal proof systems, completeness and compactness theorems, Boolean algebras; first-order logic: formal proofs, Gödel's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; Gödel's incompleteness theorem.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionSampling distributions, including Normal, Chi-squared, Student’s t, and F distributions. Sampling properties of the sample mean and variance. Point estimation: bias, variance, mean squared error, consistency, sufficiency, UMVUE. Method of moments and maximum likelihood estimation. One- and two-sample inference. Confidence intervals and sample size determination. Hypothesis testing, Type 1 and Type 2 errors, power, and p-values. The Neyman Pearson framework and likelihood ratio tests. Linear models used as illustrative examples, linking them to topics in estimation and hypothesis testing. One-way analysis of variance (ANOVA) and contingency tables.
MCGILL complete current official course definitionDiscrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Computer Science - Artificial Intelligence Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
MCGILL complete current official course definitionComprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionData Structures: priority queues, balanced binary search trees, hash tables, graphs. Algorithms: topological sort, connected components, shortest paths, minimum spanning trees, bipartite matching, network flows. Algorithm design: greedy, divide and conquer, dynamic programming, randomization. Mathematicaltools: proofs of asymptotic complexity and program correctness, Master theorem.
MCGILL complete current official course definitionNumber representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
MCGILL complete current official course definitionProgramming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
MCGILL complete current official course definitionPrinciples, mechanisms, techniques, and tools for object-oriented software design and its implementation, including encapsulation, design patterns, and unit testing.
MCGILL complete current official course definitionIntroduction to search methods. Knowledge representation using logic and probability. Planning and decision making under uncertainty. Introduction to machine learning.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionIntroduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionSampling distributions, including Normal, Chi-squared, Student’s t, and F distributions. Sampling properties of the sample mean and variance. Point estimation: bias, variance, mean squared error, consistency, sufficiency, UMVUE. Method of moments and maximum likelihood estimation. One- and two-sample inference. Confidence intervals and sample size determination. Hypothesis testing, Type 1 and Type 2 errors, power, and p-values. The Neyman Pearson framework and likelihood ratio tests. Linear models used as illustrative examples, linking them to topics in estimation and hypothesis testing. One-way analysis of variance (ANOVA) and contingency tables.
MCGILL complete current official course definitionFinite automata, regular languages, context-free languages, push-down automata, models of computation, computability theory, undecidability, reduction techniques.
MCGILL complete current official course definitionComputer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Least-squares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
MCGILL complete current official course definitionAdvanced algorithm design and analysis. Linear programming, complexity and NP-completeness, advanced algorithmic techniques.
MCGILL complete current official course definitionControl and scheduling of large information processing systems. Operating system software - resource allocation, dispatching, processors, access methods, job control languages, main storage management. Batch processing, multiprogramming, multiprocessing, time sharing.
MCGILL complete current official course definitionDatabase Design: conceptual design of databases (e.g., entity-relationship model), relational data model, functional dependencies. Database Manipulation: relational algebra, SQL, database application programming, triggers, access control. Database Implementation: transactions, concurrency control, recovery, query execution and query optimization.
MCGILL complete current official course definitionIntroduction to the computational, statistical and mathematical foundations of machine learning. Algorithms for both supervised learning and unsupervised learning. Maximum likelihood estimation, neural networks, and regularization.
MCGILL complete current official course definitionSelected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.
MCGILL complete current official course definitionIntroduction to language data science, including theoretical approaches and practical skills. Processing, searching, and querying text data; making sense of large corpora; modelling and interpreting psycholinguistic and historical language data; building models of sequences of words; computing similarity between languages; information retrieval and extraction; question answering; and ethics.
MCGILL complete current official course definitionComprehensive introduction to the data science process. Orientation to the use and configuration of core data science toolkits, data collection and annotation fundamentals, principles of responsible data science, the use of quantitative tools in data science, and presentation of data science findings.
MCGILL complete current official course definitionThis course considers issues relevant to the design of robotic and of intelligent systems. How can robots move and interact. Robotic hardware systems. Kinematics and inverse kinematics. Sensors, sensor data interpretation and sensor fusion. Path planning. Configuration spaces. Position estimation. Intelligent systems. Spatial mapping. Multi-agent systems. Applications.
MCGILL complete current official course definitionIntroduction to foundational ideas in computational linguistics and natural language processing. Topics include formal language theory, probability theory, estimation and inference, and recursively defined models of language structure. Emphasis on both the mathematical foundations of the field as well as how to use these tools to understand human language.
MCGILL complete current official course definitionSelected topics in Network Science, Graph Mining and Graph Learning, including patterns in real world networks, ranking and similarity measures for graphs, graph clustering and community mining techniques, and node classification and link prediction methods.
MCGILL complete current official course definitionThe approach and the challenges in the key components of manipulators and locomotors: representations, kinematics, dynamics, rigid-body chains, redundant systems, under-actuated systems, control, planning, and perception. Practical aspects of robotics: collisions, integrating sensory feedback, and real-time software development.
MCGILL complete current official course definitionNeural network-based methods for natural language understanding (NLU) and computational semantics. Continuous representations for words, phrases, sentences, and discourse, and their connection to formal semantics. Practical and ethical considerations in applications such as text classification, question answering, and conversational assistants.
MCGILL complete current official course definitionOverview of the influence of neuroscience and psychology on Artificial Intelligence (AI). Historical topics: perceptrons, the PDP framework, Hopfield nets, Boltzmann and Helmholtz machines, and the behaviourist origins of reinforcement learning. Modern topics: deep learning, attention, memory and consciousness. Emphasis on understanding the interdisciplinary foundations of modern AI.
MCGILL complete current official course definitionAn introduction to the computational modelling of natural language, including algorithms, formalisms, and applications. Computational morphology, language modelling, syntactic parsing, lexical and compositional semantics, and discourse analysis. Selected applications such as automatic summarization, machine translation, and speech processing. Machine learning techniques for natural language processing.
MCGILL complete current official course definitionImage filtering, edge detection, image features and histograms, image segmentation, image motion and tracking, projective geometry, camera calibration, homographies, epipolar geometry and stereo, point clouds and 3D registration. Applications in computer graphics and robotics.
MCGILL complete current official course definitionConcentration inequalities, PAC model, VC dimension, Rademacher complexity, convex optimization, gradient descent, boosting, kernels, support vector machines, regression and learning bounds. Further topics selected from: Gaussian processes, online learning, regret bounds, basic neural network theory.
MCGILL complete current official course definitionLinear models in statistical genetics, causal inference, single-cell genomics, multi-omic learning, electronic health record mining. Applications of machine learning techniques: linear regression, latent factor models, variational Bayesian inference, neural networks, model interpretation.
MCGILL complete current official course definitionBandit algorithms, finite Markov decision processes, dynamic programming, Monte-Carlo Methods, temporal-difference learning, bootstrapping, planning, approximation methods, on versus off policy learning, policy gradient methods temporal abstraction and inverse reinforcement learning.
MCGILL complete current official course definitionOverview of mathematical background and basics of machine learning, deep feedforward networks, regularization for deep learning, optimization for training deep learning models, convolutional neural networks, recurrent and recursive neural networks, practical considerations,applications of deep learning, recent models and architectures in deep learning.
MCGILL complete current official course definitionEthics and social issues related to AI and robotic systems. Consideration for normative values (e.g., fairness) in the design. Ethics principles, data and privacy issues, ethics challenges in interaction and interface design.
MCGILL complete current official course definitionPublished required and complementary course choices for the 65-credit Computer Science - Computer Games Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 65 credits for this program; faculty-wide degree and foundation requirements apply separately.
Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
MCGILL complete current official course definitionComprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionData Structures: priority queues, balanced binary search trees, hash tables, graphs. Algorithms: topological sort, connected components, shortest paths, minimum spanning trees, bipartite matching, network flows. Algorithm design: greedy, divide and conquer, dynamic programming, randomization. Mathematicaltools: proofs of asymptotic complexity and program correctness, Master theorem.
MCGILL complete current official course definitionNumber representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
MCGILL complete current official course definitionProgramming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
MCGILL complete current official course definitionPrinciples, mechanisms, techniques, and tools for object-oriented software design and its implementation, including encapsulation, design patterns, and unit testing.
MCGILL complete current official course definitionControl and scheduling of large information processing systems. Operating system software - resource allocation, dispatching, processors, access methods, job control languages, main storage management. Batch processing, multiprogramming, multiprocessing, time sharing.
MCGILL complete current official course definitionBasics and advanced features of the C++ language. Syntax, memory management, class structure, method and operator overloading, multiple inheritance, access control, stream I/O, templates, exception handling.
MCGILL complete current official course definitionFinite automata, regular languages, context-free languages, push-down automata, models of computation, computability theory, undecidability, reduction techniques.
MCGILL complete current official course definitionSoftware development process in practice: requirement elicitation and analysis, software design, implementation, integration, test planning, and maintenance. Application of the core concepts and techniques through the realization of a large software system.
MCGILL complete current official course definitionSee COMP 361D1 for course description.
MCGILL complete current official course definitionFundamental mathematical, algorithmic and representational issues in computer graphics: overview of graphics pipeline, homogeneous coordinates, projective transformations, line-drawing and rasterization, hidden surface removal, surface modelling (quadrics, bicubics, meshes), rendering (lighting, reflectance models, ray tracing, texture mapping), compositing colour perception, and other selected topics.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionIntroduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionComputer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Least-squares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
MCGILL complete current official course definitionAdvanced algorithm design and analysis. Linear programming, complexity and NP-completeness, advanced algorithmic techniques.
MCGILL complete current official course definitionDigital circuitry and programming interface of peripheral circuit boards (cards), e.g., graphics cards; introduction to tools and libraries that interact with the card; performance issues.
MCGILL complete current official course definitionIntroduction to search methods. Knowledge representation using logic and probability. Planning and decision making under uncertainty. Introduction to machine learning.
MCGILL complete current official course definitionGenre and history of games, basic game design, storytelling and narrative analysis, game engines, design of virtual worlds, real-time 2D graphics, game physics and physical simulation, pathfinding and game AI, content generation, 3D game concerns, multiplayer and distributed games, social issues.
MCGILL complete current official course definitionDevelopment, analysis, and maintenance of software architectures, with special focus on modular decomposition and reverse engineering.
MCGILL complete current official course definitionModel-driven software development; requirements engineering based on use cases and scenarios; object-oriented modelling using UML and OCL to establish complete and precise analysis and design documents; mapping to Java. Introduction to meta-modelling and model transformations, use of modelling tools.
MCGILL complete current official course definitionSelected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.
MCGILL complete current official course definitionFundamental mathematical and computational issues in computer animation with a focus on physics based simulation: overview of numerical integration methods, accuracy and absolute stability, stiff systems and constraints, rigid body motion, collision detection and response, friction, deformation, stable fluid simulation, use of motion capture, and other selected topics.
MCGILL complete current official course definitionCharacteristics and utility of concurrent programs; formal methods for specification, verification and development of concurrent programs; communications, synchronization, resource allocation and management, coherency and integrity.
MCGILL complete current official course definitionDatabase Design: conceptual design of databases (e.g., entity-relationship model), relational data model, functional dependencies. Database Manipulation: relational algebra, SQL, database application programming, triggers, access control. Database Implementation: transactions, concurrency control, recovery, query execution and query optimization.
MCGILL complete current official course definitionFundamental design principles, elements, and protocols of computer networks, focusing on the current Internet. Topics include: layered architecture, direct link networks, switching and forwarding, bridge routing, congestion control, end-to-end protocols application of DNS, HTTP, P2P, fair queuing, performance modeling and analysis.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Software Engineering Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
MCGILL complete current official course definitionComprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionData Structures: priority queues, balanced binary search trees, hash tables, graphs. Algorithms: topological sort, connected components, shortest paths, minimum spanning trees, bipartite matching, network flows. Algorithm design: greedy, divide and conquer, dynamic programming, randomization. Mathematicaltools: proofs of asymptotic complexity and program correctness, Master theorem.
MCGILL complete current official course definitionNumber representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
MCGILL complete current official course definitionProgramming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
MCGILL complete current official course definitionPrinciples, mechanisms, techniques, and tools for object-oriented software design and its implementation, including encapsulation, design patterns, and unit testing.
MCGILL complete current official course definitionControl and scheduling of large information processing systems. Operating system software - resource allocation, dispatching, processors, access methods, job control languages, main storage management. Batch processing, multiprogramming, multiprocessing, time sharing.
MCGILL complete current official course definitionSoftware development process in practice: requirement elicitation and analysis, software design, implementation, integration, test planning, and maintenance. Application of the core concepts and techniques through the realization of a large software system.
MCGILL complete current official course definitionSee COMP 361D1 for course description.
MCGILL complete current official course definitionCorrect and complete implementation of software requirements. Verification and validation lifecycle. Requirements analysis, model based analysis, and design analysis. Unit and system testing, performance, risk management, software reuse. Ubiquitous computing.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionIntroduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionSampling distributions, including Normal, Chi-squared, Student’s t, and F distributions. Sampling properties of the sample mean and variance. Point estimation: bias, variance, mean squared error, consistency, sufficiency, UMVUE. Method of moments and maximum likelihood estimation. One- and two-sample inference. Confidence intervals and sample size determination. Hypothesis testing, Type 1 and Type 2 errors, power, and p-values. The Neyman Pearson framework and likelihood ratio tests. Linear models used as illustrative examples, linking them to topics in estimation and hypothesis testing. One-way analysis of variance (ANOVA) and contingency tables.
MCGILL complete current official course definitionFinite automata, regular languages, context-free languages, push-down automata, models of computation, computability theory, undecidability, reduction techniques.
MCGILL complete current official course definitionAdvanced algorithm design and analysis. Linear programming, complexity and NP-completeness, advanced algorithmic techniques.
MCGILL complete current official course definitionCharacteristics and utility of concurrent programs; formal methods for specification, verification and development of concurrent programs; communications, synchronization, resource allocation and management, coherency and integrity.
MCGILL complete current official course definitionState-of-the-art language-based techniques for enforcing security policies in distributed computing environments. Static techniques (such as type- and proof-checking technology), verification of security policies and applications such as proof-carrying code, certifying compilers, and proof-carrying authentication.
MCGILL complete current official course definitionPropositional logic - syntax and semantics, temporal logic, other modal logics, model checking, symbolic model checking, binary decision diagrams, other approaches to formal verification.
MCGILL complete current official course definitionDevelopment, analysis, and maintenance of software architectures, with special focus on modular decomposition and reverse engineering.
MCGILL complete current official course definitionModel-driven software development; requirements engineering based on use cases and scenarios; object-oriented modelling using UML and OCL to establish complete and precise analysis and design documents; mapping to Java. Introduction to meta-modelling and model transformations, use of modelling tools.
MCGILL complete current official course definitionConceptual foundations of information privacy: security and cryptography, privacy by design, privacy threats. Technical controls for supporting privacy: authorization, authentication, access control, malware and intrusion detection. Application-specific privacy concerns of databases, web and mobile applications, cloud storage.
MCGILL complete current official course definitionTechniques for eliciting requirements; languages and models for specification of requirements; analysis and validation techniques, including feature-based, goal-based, and scenario-based analysis; quality requirements; requirements traceability and management; handling evolution of requirements; requirements documentation standards; requirements in the context of system engineering; integration of requirements engineering into software engineering processes.
MCGILL complete current official course definitionModern parallel computing architectures for shared memory, message passing and data parallel programming models. The design of cache coherent shared memory multiprocessors. Programming techniques for multithreaded, message passing and distributed systems. Use of modern programming languages and parallel programming libraries.
MCGILL complete current official course definitionThe course highlights human-computer interaction strategies from an engineering perspective. Topics include user interfaces, novel paradigms in human-computer interaction, affordances, ecological interface design, ubiquitous computing and computer-supported cooperative work. Attention will be paid to issues of safety, usability, and performance.
MCGILL complete current official course definitionDesign, development, and implementation of code integration processes, release pipelines, and deployment strategies.
MCGILL complete current official course definitionPractical and theoretical knowledge for developing software languages and models; foundations for model-based software development; topics include principles of model-driven engineering; concern-driven development; intentional, structural, and behavioral models as well as configuration models; constraints; language engineering; domain-specific languages; metamodelling; model transformations; models of computation; model analyses; and modeling tools.
MCGILL complete current official course definitionComputer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Least-squares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
MCGILL complete current official course definitionThis course considers issues relevant to the design of robotic and of intelligent systems. How can robots move and interact. Robotic hardware systems. Kinematics and inverse kinematics. Sensors, sensor data interpretation and sensor fusion. Path planning. Configuration spaces. Position estimation. Intelligent systems. Spatial mapping. Multi-agent systems. Applications.
MCGILL complete current official course definitionDatabase Design: conceptual design of databases (e.g., entity-relationship model), relational data model, functional dependencies. Database Manipulation: relational algebra, SQL, database application programming, triggers, access control. Database Implementation: transactions, concurrency control, recovery, query execution and query optimization.
MCGILL complete current official course definitionIntroduction to search methods. Knowledge representation using logic and probability. Planning and decision making under uncertainty. Introduction to machine learning.
MCGILL complete current official course definitionModels and Architectures. Application-oriented communication paradigms (e.g. remote method invocation, group communication). Naming services. Synchronization (e.g. mutual exclusion, concurrency control). Fault-tolerance (e.g. process and replication, agreement protocols). Distributed file systems. Security. Examples of distributed systems (e.g. Web, CORBA). Advanced Topics.
MCGILL complete current official course definitionThe structure of a compiler. Lexical analysis. Parsing techniques. Syntax directed translation. Run-time implementation of various programming language constructs. Introduction to code generation for an idealized machine. Students will implement parts of a compiler.
MCGILL complete current official course definitionGenre and history of games, basic game design, storytelling and narrative analysis, game engines, design of virtual worlds, real-time 2D graphics, game physics and physical simulation, pathfinding and game AI, content generation, 3D game concerns, multiplayer and distributed games, social issues.
MCGILL complete current official course definitionFundamental design principles, elements, and protocols of computer networks, focusing on the current Internet. Topics include: layered architecture, direct link networks, switching and forwarding, bridge routing, congestion control, end-to-end protocols application of DNS, HTTP, P2P, fair queuing, performance modeling and analysis.
MCGILL complete current official course definitionSelected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.
MCGILL complete current official course definitionFundamental mathematical, algorithmic and representational issues in computer graphics: overview of graphics pipeline, homogeneous coordinates, projective transformations, line-drawing and rasterization, hidden surface removal, surface modelling (quadrics, bicubics, meshes), rendering (lighting, reflectance models, ray tracing, texture mapping), compositing colour perception, and other selected topics.
MCGILL complete current official course definitionImage filtering, edge detection, image features and histograms, image segmentation, image motion and tracking, projective geometry, camera calibration, homographies, epipolar geometry and stereo, point clouds and 3D registration. Applications in computer graphics and robotics.
MCGILL complete current official course definitionPublished required and complementary course choices for the 76-credit Mathematics Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 76 credits for this program; faculty-wide degree and foundation requirements apply separately.
An introduction to molecular and cell biology from a physical perspective. Techniques and methodologies, both experimental and computational, are included in the presentation of each thematic module.
MCGILL complete current official course definitionAn introduction to biology research and communication with a focus on cell and molecular biology. Through conducting a series of project-based experiments and writing a final report, molecular and synthetic biology techniques such as gene cloning, manipulation, protein isolation and characterization and how research is conducted, analyzed and communicated will be addressed. In addition, an introduction to bioinformatics methods and their role in analysis will be provided.
MCGILL complete current official course definitionOverview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology.
MCGILL complete current official course definitionA fundamental study of aliphatic compounds and saturated functional groups including modern concepts of bonding, reaction mechanisms, conformational analysis, spectroscopy, and stereochemistry.
MCGILL complete current official course definitionIntroduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
MCGILL complete current official course definitionComputer Science (Sci): Computer programming in a high level language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms, modular software design, libraries, file input/output, debugging. Emphasis on applications in the life sciences.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionMatrix algebra, determinants, systems of linear equations. Abstract vector spaces, inner product spaces, Fourier series. Linear transformations and their matrix representations. Eigenvalues and eigenvectors, diagonalizable and defective matrices, positive definite and semidefinite matrices. Quadratic and Hermitian forms, generalized eigenvalue problems, simultaneous reduction of quadratic forms. Applications.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionAn introduction to the fundamental processes of ecology and evolution that bear on the nature and diversity of organisms and the processes that govern their assembly into ecological communities and their roles in ecosystem function.
MCGILL complete current official course definitionA rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
MCGILL complete current official course definitionDefinition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.
MCGILL complete current official course definitionIndependent research project.
MCGILL complete current official course definitionIndependent research project.
MCGILL complete current official course definitionIndependent research project.
MCGILL complete current official course definitionA supervised project.
MCGILL complete current official course definitionDerivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
MCGILL complete current official course definitionError analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
MCGILL complete current official course definitionLinear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
MCGILL complete current official course definitionBasic data management. Data visualization. Exploratory data analysis and descriptive statistics. Writing functions. Simulation and parallel computing. Communication data and documenting code for reproducible research.
MCGILL complete current official course definitionSampling distributions, including Normal, Chi-squared, Student’s t, and F distributions. Sampling properties of the sample mean and variance. Point estimation: bias, variance, mean squared error, consistency, sufficiency, UMVUE. Method of moments and maximum likelihood estimation. One- and two-sample inference. Confidence intervals and sample size determination. Hypothesis testing, Type 1 and Type 2 errors, power, and p-values. The Neyman Pearson framework and likelihood ratio tests. Linear models used as illustrative examples, linking them to topics in estimation and hypothesis testing. One-way analysis of variance (ANOVA) and contingency tables.
MCGILL complete current official course definitionMultiple regression estimators and their properties. Hypothesis tests and confidence intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data.
MCGILL complete current official course definitionConditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
MCGILL complete current official course definitionSelected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.
MCGILL complete current official course definitionThe concept of degrees of freedom and the analysis of variability. Planning of experiments. Experimental designs. Polynomial and multiple regressions. Statistical computer packages (no previous computing experience is needed). General statistical procedures requiring few assumptions about the probability model.
MCGILL complete current official course definitionTheory and application of various techniques for the exploration and analysis of multivariate data: principal component analysis, correspondence analysis, and other visualization and dimensionality reduction techniques; supervised and unsupervised learning; linear discriminant analysis, and clustering techniques. Data applications using appropriate software.
MCGILL complete current official course definitionDiscrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
MCGILL complete current official course definitionThe formulation and treatment of realistic mathematical models describing biological phenomena through qualitative and quantitative mathematical techniques (e.g. local and global stability theory, bifurcation analysis and phase plane analysis) and numerical simulation. Concrete and detailed examples will be drawn from molecular and cellular biology and mammalian physiology.
MCGILL complete current official course definitionIntroduction to convex analysis and convex optimization: Convex sets and functions, subdifferential calculus, conjugate functions, Fenchel duality, proximal calculus. Subgradient methods, proximal-based methods. Conditional gradient method, ADMM. Applications including data classification, network-flow problems, image processing, convex feasibility problems, DC optimization, sparse optimization, and compressed sensing.
MCGILL complete current official course definitionExponential families, link functions. Inference and parameter estimation for generalized linear models; model selection using analysis of deviance. Residuals. Contingency table analysis, logistic regression, multinomial regression, Poisson regression, log-linear models. Multinomial models. Overdispersion and Quasilikelihood. Applications to experimental and observational data.
MCGILL complete current official course definitionDistribution free procedures for 2-sample problem: Wilcoxon rank sum, Siegel-Tukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: Kruskal-Wallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chi-square, likelihood ratio, Kolmogorov-Smirnov tests. Statistical software packages used.
MCGILL complete current official course definitionSimple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.
MCGILL complete current official course definitionIntroduction to concepts in statistically designed experiments. Randomization and replication. Completely randomized designs. Simple linear model and analysis of variance. Introduction to blocking. Orthogonal block designs. Models and analysis for block designs. Factorial designs and their analysis. Row-column designs. Latin squares. Model and analysis for fixed row and column effects. Split-plot designs, model and analysis. Relations and operations on factors. Orthogonal factors. Orthogonal decomposition. Orthogonal plot structures. Hasse diagrams. Applications to real data and ethical issues.
MCGILL complete current official course definitionSubjective probability, Bayesian statistical inference and decision making, de Finetti’s representation. Bayesian parametric methods, optimal decisions, conjugate models, methods of prior specification and elicitation, approximation methods. Hierarchical models. Computational approaches to inference, Markov chain Monte Carlo methods, Metropolis;Hastings. Nonparametric Bayesian inference.
MCGILL complete current official course definitionIntroduction to modern methods used in organismal biology, including ecological sampling, experimental methods and statistics. Particular emphasis is on ways of thinking about the design of sampling programs and the analyses of data to test hypotheses using observational or experimental data.
MCGILL complete current official course definitionField studies of ferns, fern allies, conifers and flowering plants; the use of keys for plant identification.
MCGILL complete current official course definitionMethods of sampling natural populations. Testing hypotheses in nature.
MCGILL complete current official course definitionRelevant to agriculture, forestry, fisheries and conservation of natural resources. Field component taught at the University's Bellairs Research Institute in Barbados, for two weeks in early May. The course is organized in a series of small-group field projects of 2-3 days each. Interested students should check the course website, attend the full information session and fill out an application form.
MCGILL complete current official course definitionSee BIOL 334D1 for course description.
MCGILL complete current official course definitionA study of the physical, chemical and biological properties of lakes and other inland waters, with emphasis on their functioning as systems.
MCGILL complete current official course definitionTerrestrial vertebrate fossils (i.e. dinosaurs, crocodiles and other reptiles) and palaeocommunity analysis, including practical training with fossil identification, mapping, collecting, and stratigraphic interpretation.
MCGILL complete current official course definitionIntroduction to basic principles, and to modern advances, problems and applications in the genetics of higher and lower organisms with examples representative of the biological sciences.
MCGILL complete current official course definitionUnified view of form and function in animals and plants. Focus on how the laws of chemistry and physics illuminate biological processes relating to the acquisition of energy and materials and their use in movement, growth, development, reproduction and responses to environmental stress.
MCGILL complete current official course definitionTrait variation within and across populations and species,and how this reflects variation within genomes. Case studies and problem-solving approaches will be used to illustrate the tools of genomics, molecular genetics and classical genetics, and how they are employed to understand the mechanisms of phenotypic variation.Topics will include evolutionary, developmental and human genetics. Application of multiple levels of genetic analysis, formulation, and testing of hypotheses on critical topics ranging from evolution to developmental biology to human genetics.
MCGILL complete current official course definitionA comprehensive introduction to evolutionary biology. It covers both short-term and long-term evolutionary processes. Topics include the history of life, the origin of species, adaptation, natural selection and sexual selection.
MCGILL complete current official course definitionThe characteristics of the major groups of animals, their ancestry, history and relationship to one another. The processes of speciation, adaptive radiation and extinction responsible for diversity. Methods for constructing of phylogenies, for comparing phenotypes, and for estimating and analyzing diversity.
MCGILL complete current official course definitionPrinciples of population, community, and ecosystem dynamics: population growth and regulation, species interactions, dynamics of competitive interactions and of predator/prey systems; evolutionary dynamics.
MCGILL complete current official course definitionEcological bases of the natural causes and consequences of current global environmental changes, including how biodiversity and ecosystem processes are defined and measured, how they vary in space and time, how they are affected by physical and biological factors, and how they affect each other and human societies.
MCGILL complete current official course definitionPresents evolutionary genetics within an ecological context. Covers theoretical and applied topics together with relevant data from natural populations of plant and animals.
MCGILL complete current official course definitionThe influence of developmental mechanisms on evolution. This course draws on recent examples from plants and invertebrate and vertebrate animals. Topics include homology, modularity, dissociation, co-option, evolutionary novelty, evolution of cis-regulation and gene regulatory networks, developmental constraint and evolvability, heterochrony, phenotypic plasticity, and canalization.
MCGILL complete current official course definitionEvolutionary ecology is the study of evolutionary change in natural populations. General predictive approaches in evolutionary ecology, including population genetics, quantitative genetics, optimality, and game theory will be examined. Emphasis will be placed on the mathematical underpinnings of each approach, particularly as they relate to classic and contemporary problems.
MCGILL complete current official course definitionA consideration of the fundamental processes and principles operating during embryogenesis. Experimental analyses at the molecular, cellular, and organismal levels will be presented and discussed to provide an overall appreciation of developmental phenomena.
MCGILL complete current official course definitionIn-depth examination of the structure and function of eukaryotic cells, with an emphasis on experimental design and interpretation. Examination of the molecular mechanisms of various cellular processes, including protein homeostasis, intracellular transport, cytoskeletal dynamics, multicellular organization and cell proliferation.
MCGILL complete current official course definitionConcepts and mechanisms in advanced cell biology, based on genetic, cell biological, biophysical, and computational studies. Emphasis is placed on processes that are evolutionarily conserved, with examples from model organisms and cell-free (in vitro) approaches.
MCGILL complete current official course definition'Post-genomic' bioinformatics. Concepts behind large-scale computational analysis and comparison of genomes/proteomes (and beyond), and the implications for our understanding of the basic processes of molecular and cell biology and the evolution of those processes.
MCGILL complete current official course definitionIntroduction to the study of animal behaviour at the population, organismal, cellular, and molecular levels. Historical and contemporary methods and experiments will be presented and discussed to provide an overall appreciation of the biology of behaviour, with a focus on the application of multiple levels of analysis to biological phenomena and the formulation of hypotheses about evolution, development, function, and mechanisms of behavioural traits. Topics will range from how animals communicate with one another to the cellular mechanisms that allow information to be processed by nervous systems.
MCGILL complete current official course definitionNeural mechanisms of animal behaviour; neuroethology; cellular neurophysiology, integrative networks within nervous systems; neural control of movement; processing of sensory information.
MCGILL complete current official course definitionFunctional and comparative approach to neuroanatomy, examining how species changes in brain organization contribute to evolutionary changes in behaviour.
MCGILL complete current official course definitionMethods of neurobiological research, including extracellular and intracellular recordings, electrical stimulation, and the study of neuro-behavioural problems.
MCGILL complete current official course definitionNeural mechanisms underlying behaviour in vertebrate and invertebrate organisms.
MCGILL complete current official course definitionThis course will focus on recent research employing genetic-based methods to examine the functional and structural properties of the nervous system. The focus will be on approaches for studying neural circuits and behavior in a range of model organisms. Topics will include recent technological advances, such as optogenetics for modifying and controlling neuronal activity, and animal models of neurological diseases. Students will critically analyze the application of these methods to current research through in-class discussion of primary literature, student presentations, and written assignments.
MCGILL complete current official course definitionA survey of the functional organization of nerve cells, signalling in the nervous system, and principles of neural development. Topics include cell polarity, neurotransmitters, neurotrophins, receptors and second messengers, cell lineage, guidance of axon outgrowth, and nerve regeneration. Emphasis will be placed on analysis of neurons at the molecular level.
MCGILL complete current official course definitionThe course deals with neuroreceptor and oncologic imaging and imaging of cerebral bloodflow and metabolism. The role of radiochemistry and physics will be demonstrated in the context of clinical and research applications. Understanding how radiochemistry and physics intermingle with the medical aspects of radiotracer development will result in a deeper insight into the complex pathways of tracer design and the methods necessary to properly interpret the data obtained.
MCGILL complete current official course definitionIn depth presentation of experimental results and hypotheses underlying our current understanding of how single neurons and ensembles of neurons encode sensory information, generate movement, and control cognitive functions such as emotion, learning, and memory, during voluntary behaviours.
MCGILL complete current official course definitionAn introduction to quantitative analysis of physiological data, both to the mode of thinking and to a set of tools that allows accurate predictions of biological systems. Examples will range from oscillating genetic networks to understanding higher brain function. Modelling and data analysis through examples and exercises will be emphasized.
MCGILL complete current official course definitionA systematic examination of the sensorimotor system, drawing on models and data from both behavioural and physiological studies. Topics include: cortical motor areas, cerebellum, basal ganglia, spinal mechanisms, motor unit properties and force production, prioception, muscle properties.
MCGILL complete current official course definitionPublished required and complementary course choices for the 54-credit Statistics Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 54 credits for this program; faculty-wide degree and foundation requirements apply separately.
Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.
MCGILL complete current official course definitionReview of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
MCGILL complete current official course definitionThe definite integral. Techniques of integration. Applications. Introduction to sequences and series.
MCGILL complete current official course definitionThe concept of degrees of freedom and the analysis of variability. Planning of experiments. Experimental designs. Polynomial and multiple regressions. Statistical computer packages (no previous computing experience is needed). General statistical procedures requiring few assumptions about the probability model.
MCGILL complete current official course definitionBasic data management. Data visualization. Exploratory data analysis and descriptive statistics. Writing functions. Simulation and parallel computing. Communication data and documenting code for reproducible research.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionSets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups.
MCGILL complete current official course definitionLinear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and eigenvalues. Diagonalizable operators. Cayley-Hamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric matrices. Canonical forms.
MCGILL complete current official course definitionA rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
MCGILL complete current official course definitionDefinition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionMultiple regression estimators and their properties. Hypothesis tests and confidence intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data.
MCGILL complete current official course definitionExponential families, link functions. Inference and parameter estimation for generalized linear models; model selection using analysis of deviance. Residuals. Contingency table analysis, logistic regression, multinomial regression, Poisson regression, log-linear models. Multinomial models. Overdispersion and Quasilikelihood. Applications to experimental and observational data.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionProgramming and problem solving in a high level computer language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms such as searching and sorting. Modular software design, libraries, file input and output, debugging. Emphasis on applications in Physical Sciences and Engineering, such as root finding, numerical integration, diffusion, Monte Carlo methods.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionData Structures: priority queues, balanced binary search trees, hash tables, graphs. Algorithms: topological sort, connected components, shortest paths, minimum spanning trees, bipartite matching, network flows. Algorithm design: greedy, divide and conquer, dynamic programming, randomization. Mathematicaltools: proofs of asymptotic complexity and program correctness, Master theorem.
MCGILL complete current official course definitionComputer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Least-squares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
MCGILL complete current official course definitionIntroduction to statistical modelling, likelihood principle and maximum likelihood estimation, Bayesian principle and Bayesian estimation, with emphasis on their application in statistical analysis and data science.
MCGILL complete current official course definitionDerivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionAlgebra of complex numbers, Cauchy-Riemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.
MCGILL complete current official course definitionError analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
MCGILL complete current official course definitionLinear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
MCGILL complete current official course definitionAn overview of numerical methods for linear algebra applications and their analysis. Problem classes include linear systems, least squares problems and eigenvalue problems.
MCGILL complete current official course definitionSimple and compound interest, annuities certain, amortization schedules, bonds, depreciation.
MCGILL complete current official course definitionDiscrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
MCGILL complete current official course definitionDiscrete mathematics. Graph Theory: matching theory, connectivity, planarity, and colouring; graph minors and extremal graph theory. Combinatorics: combinatorial methods, enumerative and algebraic combinatorics, discrete probability.
MCGILL complete current official course definitionAn introduction to linear optimization and its applications: Duality theory, fundamental theorem, sensitivity analysis, convexity, simplex algorithm, interior-point methods, quadratic optimization, applications in game theory.
MCGILL complete current official course definitionIntroduction to concepts of price and hedge derivative securities. The following concepts will be studied in both concrete and continuous time: filtrations, martingales, the change of measure technique, hedging, pricing, absence of arbitrage opportunities and the Fundamental Theorem of Asset Pricing.
MCGILL complete current official course definitionIntroduction to convex analysis and convex optimization: Convex sets and functions, subdifferential calculus, conjugate functions, Fenchel duality, proximal calculus. Subgradient methods, proximal-based methods. Conditional gradient method, ADMM. Applications including data classification, network-flow problems, image processing, convex feasibility problems, DC optimization, sparse optimization, and compressed sensing.
MCGILL complete current official course definitionIntroduction to the computational, statistical and mathematical foundations of machine learning. Algorithms for both supervised learning and unsupervised learning. Maximum likelihood estimation, neural networks, and regularization.
MCGILL complete current official course definitionSelected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.
MCGILL complete current official course definitionTheory and application of various techniques for the exploration and analysis of multivariate data: principal component analysis, correspondence analysis, and other visualization and dimensionality reduction techniques; supervised and unsupervised learning; linear discriminant analysis, and clustering techniques. Data applications using appropriate software.
MCGILL complete current official course definitionA supervised project.
MCGILL complete current official course definitionReading projects permitting independent study under the guidance of a staff member specializing in a subject where no appropriate course is available. Arrangements must be made with an instructor and the Chair before registration.
MCGILL complete current official course definitionIntroduction to quality management; variability and productivity. Quality measurement: capability analysis, gauge capability studies. Process control: control charts for variables and attributes. Process improvement: factorial designs, fractional replications, response surface methodology, Taguchi methods. Acceptance sampling: operating characteristic curves; single, multiple and sequential acceptance sampling plans for variables and attributes.
MCGILL complete current official course definitionConditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
MCGILL complete current official course definitionBasics concepts in quantitative risk management: types of financial risk, loss distribution, risk measures, regulatory framework. Empirical properties of financial data, models for stochastic volatility. Extreme-value theory models for maxima and threshold exceedances. Multivariate models, copulas, and dependence measures. Risk aggregation.
MCGILL complete current official course definitionDistribution free procedures for 2-sample problem: Wilcoxon rank sum, Siegel-Tukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: Kruskal-Wallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chi-square, likelihood ratio, Kolmogorov-Smirnov tests. Statistical software packages used.
MCGILL complete current official course definitionSimple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.
MCGILL complete current official course definitionThe holistic skills required for doing statistical data science in practice. Data science life cycle from a statistics-centric perspective and from the perspective of a statistician working in the larger data science environment. Group-based projects with industry, government, or university partners. Statistical collaboration and consulting conducted in coordination with the Data Science Solutions Hub (DaS^2H) of the Computational and Data Systems Initiative (CDSI).
MCGILL complete current official course definitionSee MATH 527D1 for course description.
MCGILL complete current official course definitionStationary processes; estimation and forecasting of ARMA models; non-stationary and seasonal models; state-space models; financial time series models; multivariate time series models; introduction to spectral analysis; long memory models.
MCGILL complete current official course definitionDistribution theory, stochastic models and multivariate transformations. Families of distributions including location-scale families, exponential families, convolution families, exponential dispersion models and hierarchical models. Concentration inequalities. Characteristic functions. Convergence in probability, almost surely, in Lp and in distribution. Laws of large numbers and Central Limit Theorem. Stochastic simulation.
MCGILL complete current official course definitionSufficiency, minimal and complete sufficiency, ancillarity. Fisher and Kullback-Leibler information. Elements of decision theory. Theory of estimation and hypothesis testing from the Bayesian and frequentist perspective. Elements of asymptotic statistics including large-sample behaviour of maximum likelihood estimators, likelihood-ratio tests, and chi-squared goodness-of-fit tests.
MCGILL complete current official course definitionIntroduction to concepts in statistically designed experiments. Randomization and replication. Completely randomized designs. Simple linear model and analysis of variance. Introduction to blocking. Orthogonal block designs. Models and analysis for block designs. Factorial designs and their analysis. Row-column designs. Latin squares. Model and analysis for fixed row and column effects. Split-plot designs, model and analysis. Relations and operations on factors. Orthogonal factors. Orthogonal decomposition. Orthogonal plot structures. Hasse diagrams. Applications to real data and ethical issues.
MCGILL complete current official course definitionSubjective probability, Bayesian statistical inference and decision making, de Finetti’s representation. Bayesian parametric methods, optimal decisions, conjugate models, methods of prior specification and elicitation, approximation methods. Hierarchical models. Computational approaches to inference, Markov chain Monte Carlo methods, Metropolis;Hastings. Nonparametric Bayesian inference.
MCGILL complete current official course definitionProduction of written and oral assignments (in English) designed to communicate scientific problems and findings to varied audiences Analysis of the disciplinary conventions of scientific discourse in terms of audience, purpose, organization, and style; comparative rhetorical analysis of academic and popular genres, including abstracts, lab reports, research papers, print and online journalism.
MCGILL complete current official course definitionPublished required and complementary course choices for the 72-credit Mathematics and Computer Science Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 72 credits for this program; faculty-wide degree and foundation requirements apply separately.
Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.
MCGILL complete current official course definitionReview of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
MCGILL complete current official course definitionThe definite integral. Techniques of integration. Applications. Introduction to sequences and series.
MCGILL complete current official course definitionIntroduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
MCGILL complete current official course definitionComprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionData Structures: priority queues, balanced binary search trees, hash tables, graphs. Algorithms: topological sort, connected components, shortest paths, minimum spanning trees, bipartite matching, network flows. Algorithm design: greedy, divide and conquer, dynamic programming, randomization. Mathematicaltools: proofs of asymptotic complexity and program correctness, Master theorem.
MCGILL complete current official course definitionNumber representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
MCGILL complete current official course definitionProgramming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
MCGILL complete current official course definitionControl and scheduling of large information processing systems. Operating system software - resource allocation, dispatching, processors, access methods, job control languages, main storage management. Batch processing, multiprogramming, multiprocessing, time sharing.
MCGILL complete current official course definitionFinite automata, regular languages, context-free languages, push-down automata, models of computation, computability theory, undecidability, reduction techniques.
MCGILL complete current official course definitionAdvanced algorithm design and analysis. Linear programming, complexity and NP-completeness, advanced algorithmic techniques.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionSets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups.
MCGILL complete current official course definitionLinear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and eigenvalues. Diagonalizable operators. Cayley-Hamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric matrices. Canonical forms.
MCGILL complete current official course definitionA rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionError analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
MCGILL complete current official course definitionPropositional logic: truth-tables, formal proof systems, completeness and compactness theorems, Boolean algebras; first-order logic: formal proofs, Gödel's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; Gödel's incompleteness theorem.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionDiscrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
MCGILL complete current official course definitionThe concept of degrees of freedom and the analysis of variability. Planning of experiments. Experimental designs. Polynomial and multiple regressions. Statistical computer packages (no previous computing experience is needed). General statistical procedures requiring few assumptions about the probability model.
MCGILL complete current official course definitionBasic data management. Data visualization. Exploratory data analysis and descriptive statistics. Writing functions. Simulation and parallel computing. Communication data and documenting code for reproducible research.
MCGILL complete current official course definitionTheory and application of various techniques for the exploration and analysis of multivariate data: principal component analysis, correspondence analysis, and other visualization and dimensionality reduction techniques; supervised and unsupervised learning; linear discriminant analysis, and clustering techniques. Data applications using appropriate software.
MCGILL complete current official course definitionSampling distributions, including Normal, Chi-squared, Student’s t, and F distributions. Sampling properties of the sample mean and variance. Point estimation: bias, variance, mean squared error, consistency, sufficiency, UMVUE. Method of moments and maximum likelihood estimation. One- and two-sample inference. Confidence intervals and sample size determination. Hypothesis testing, Type 1 and Type 2 errors, power, and p-values. The Neyman Pearson framework and likelihood ratio tests. Linear models used as illustrative examples, linking them to topics in estimation and hypothesis testing. One-way analysis of variance (ANOVA) and contingency tables.
MCGILL complete current official course definitionLinear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
MCGILL complete current official course definitionAn overview of numerical methods for linear algebra applications and their analysis. Problem classes include linear systems, least squares problems and eigenvalue problems.
MCGILL complete current official course definitionSimple and compound interest, annuities certain, amortization schedules, bonds, depreciation.
MCGILL complete current official course definitionEgyptian, Babylonian, Greek, Indian and Arab contributions to mathematics are studied together with some modern developments they give rise to, for example, the problem of trisecting the angle. European mathematics from the Renaissance to the 18th century is discussed, culminating in the discovery of the infinitesimal and integral calculus by Newton and Leibnitz. Demonstration of how mathematics was done in past centuries, and involves the practice of mathematics, including detailed calculations, arguments based on geometric reasoning, and proofs.
MCGILL complete current official course definitionDivisibility. Congruences. Quadratic reciprocity. Diophantine equations. Arithmetical functions.
MCGILL complete current official course definitionPoints and lines in a triangle. Quadrilaterals. Angles in a circle. Circumscribed and inscribed circles. Congruent and similar triangles. Area. Power of a point with respect to a circle. Ceva’s theorem. Isometries. Homothety. Inversion.
MCGILL complete current official course definitionA supervised project.
MCGILL complete current official course definitionAn introduction to linear optimization and its applications: Duality theory, fundamental theorem, sensitivity analysis, convexity, simplex algorithm, interior-point methods, quadratic optimization, applications in game theory.
MCGILL complete current official course definitionMultiple regression estimators and their properties. Hypothesis tests and confidence intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data.
MCGILL complete current official course definitionIntroduction to quality management; variability and productivity. Quality measurement: capability analysis, gauge capability studies. Process control: control charts for variables and attributes. Process improvement: factorial designs, fractional replications, response surface methodology, Taguchi methods. Acceptance sampling: operating characteristic curves; single, multiple and sequential acceptance sampling plans for variables and attributes.
MCGILL complete current official course definitionIntroduction to concepts of price and hedge derivative securities. The following concepts will be studied in both concrete and continuous time: filtrations, martingales, the change of measure technique, hedging, pricing, absence of arbitrage opportunities and the Fundamental Theorem of Asset Pricing.
MCGILL complete current official course definitionConditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
MCGILL complete current official course definitionIntroduction to convex analysis and convex optimization: Convex sets and functions, subdifferential calculus, conjugate functions, Fenchel duality, proximal calculus. Subgradient methods, proximal-based methods. Conditional gradient method, ADMM. Applications including data classification, network-flow problems, image processing, convex feasibility problems, DC optimization, sparse optimization, and compressed sensing.
MCGILL complete current official course definitionPublished required and complementary course choices for the 72-credit Statistics and Computer Science Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 72 credits for this program; faculty-wide degree and foundation requirements apply separately.
Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.
MCGILL complete current official course definitionReview of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
MCGILL complete current official course definitionThe definite integral. Techniques of integration. Applications. Introduction to sequences and series.
MCGILL complete current official course definitionIntroduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
MCGILL complete current official course definitionComprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionData Structures: priority queues, balanced binary search trees, hash tables, graphs. Algorithms: topological sort, connected components, shortest paths, minimum spanning trees, bipartite matching, network flows. Algorithm design: greedy, divide and conquer, dynamic programming, randomization. Mathematicaltools: proofs of asymptotic complexity and program correctness, Master theorem.
MCGILL complete current official course definitionNumber representations, combinational and sequential digital circuits, MIPS instructions and architecture datapath and control, caches, virtual memory, interrupts and exceptions, pipelining.
MCGILL complete current official course definitionProgramming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
MCGILL complete current official course definitionFinite automata, regular languages, context-free languages, push-down automata, models of computation, computability theory, undecidability, reduction techniques.
MCGILL complete current official course definitionComputer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Least-squares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
MCGILL complete current official course definitionAdvanced algorithm design and analysis. Linear programming, complexity and NP-completeness, advanced algorithmic techniques.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionSets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups.
MCGILL complete current official course definitionLinear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and eigenvalues. Diagonalizable operators. Cayley-Hamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric matrices. Canonical forms.
MCGILL complete current official course definitionA rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
MCGILL complete current official course definitionDerivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
MCGILL complete current official course definitionError analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionSampling distributions, including Normal, Chi-squared, Student’s t, and F distributions. Sampling properties of the sample mean and variance. Point estimation: bias, variance, mean squared error, consistency, sufficiency, UMVUE. Method of moments and maximum likelihood estimation. One- and two-sample inference. Confidence intervals and sample size determination. Hypothesis testing, Type 1 and Type 2 errors, power, and p-values. The Neyman Pearson framework and likelihood ratio tests. Linear models used as illustrative examples, linking them to topics in estimation and hypothesis testing. One-way analysis of variance (ANOVA) and contingency tables.
MCGILL complete current official course definitionMultiple regression estimators and their properties. Hypothesis tests and confidence intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data.
MCGILL complete current official course definitionThe concept of degrees of freedom and the analysis of variability. Planning of experiments. Experimental designs. Polynomial and multiple regressions. Statistical computer packages (no previous computing experience is needed). General statistical procedures requiring few assumptions about the probability model.
MCGILL complete current official course definitionBasic data management. Data visualization. Exploratory data analysis and descriptive statistics. Writing functions. Simulation and parallel computing. Communication data and documenting code for reproducible research.
MCGILL complete current official course definitionTheory and application of various techniques for the exploration and analysis of multivariate data: principal component analysis, correspondence analysis, and other visualization and dimensionality reduction techniques; supervised and unsupervised learning; linear discriminant analysis, and clustering techniques. Data applications using appropriate software.
MCGILL complete current official course definitionAn overview of numerical methods for linear algebra applications and their analysis. Problem classes include linear systems, least squares problems and eigenvalue problems.
MCGILL complete current official course definitionDiscrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs.
MCGILL complete current official course definitionSeminar in Mathematical Problem Solving. The problems considered will be of the type that occur in the Putnam competition and in other similar mathematical competitions.
MCGILL complete current official course definitionA supervised project.
MCGILL complete current official course definitionIntroduction to quality management; variability and productivity. Quality measurement: capability analysis, gauge capability studies. Process control: control charts for variables and attributes. Process improvement: factorial designs, fractional replications, response surface methodology, Taguchi methods. Acceptance sampling: operating characteristic curves; single, multiple and sequential acceptance sampling plans for variables and attributes.
MCGILL complete current official course definitionConditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
MCGILL complete current official course definitionExponential families, link functions. Inference and parameter estimation for generalized linear models; model selection using analysis of deviance. Residuals. Contingency table analysis, logistic regression, multinomial regression, Poisson regression, log-linear models. Multinomial models. Overdispersion and Quasilikelihood. Applications to experimental and observational data.
MCGILL complete current official course definitionDistribution free procedures for 2-sample problem: Wilcoxon rank sum, Siegel-Tukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: Kruskal-Wallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chi-square, likelihood ratio, Kolmogorov-Smirnov tests. Statistical software packages used.
MCGILL complete current official course definitionSimple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.
MCGILL complete current official course definitionThe holistic skills required for doing statistical data science in practice. Data science life cycle from a statistics-centric perspective and from the perspective of a statistician working in the larger data science environment. Group-based projects with industry, government, or university partners. Statistical collaboration and consulting conducted in coordination with the Data Science Solutions Hub (DaS^2H) of the Computational and Data Systems Initiative (CDSI).
MCGILL complete current official course definitionSee MATH 527D1 for course description.
MCGILL complete current official course definitionStationary processes; estimation and forecasting of ARMA models; non-stationary and seasonal models; state-space models; financial time series models; multivariate time series models; introduction to spectral analysis; long memory models.
MCGILL complete current official course definitionIntroduction to concepts in statistically designed experiments. Randomization and replication. Completely randomized designs. Simple linear model and analysis of variance. Introduction to blocking. Orthogonal block designs. Models and analysis for block designs. Factorial designs and their analysis. Row-column designs. Latin squares. Model and analysis for fixed row and column effects. Split-plot designs, model and analysis. Relations and operations on factors. Orthogonal factors. Orthogonal decomposition. Orthogonal plot structures. Hasse diagrams. Applications to real data and ethical issues.
MCGILL complete current official course definitionSubjective probability, Bayesian statistical inference and decision making, de Finetti’s representation. Bayesian parametric methods, optimal decisions, conjugate models, methods of prior specification and elicitation, approximation methods. Hierarchical models. Computational approaches to inference, Markov chain Monte Carlo methods, Metropolis;Hastings. Nonparametric Bayesian inference.
MCGILL complete current official course definitionDevelopment, analysis and effective use of numerical methods to solve problems arising in applications. Topics include direct and iterative methods for the solution of linear equations (including preconditioning), eigenvalue problems, interpolation, approximation, quadrature, solution of nonlinear systems.
MCGILL complete current official course definitionIntroduction to search methods. Knowledge representation using logic and probability. Planning and decision making under uncertainty. Introduction to machine learning.
MCGILL complete current official course definitionApplication of computer science techniques to problems arising in biology and medicine, techniques for modeling evolution, aligning molecular sequences, predicting structure of a molecule and other problems from computational biology.
MCGILL complete current official course definitionDesigning and programming reliable numerical algorithms. Stability of algorithms and condition of problems. Reliable and efficient algorithms for solution of equations, linear least squares problems, the singular value decomposition, the eigenproblem and related problems. Perturbation analysis of problems. Algorithms for structured matrices.
MCGILL complete current official course definitionThis course presents an in-depth study of modern cryptography and data security. The basic information theoretic and computational properties of classical and modern cryptographic systems are presented, followed by a cryptanalytic examination of several important systems. We will study the applications of cryptography to the security of systems.
MCGILL complete current official course definitionSelected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.
MCGILL complete current official course definitionFundamental concepts and techniques in computational structural biology, system biology. Techniques include dynamic programming algorithms for RNA structure analysis, molecular dynamics and machine learning techniques for protein structure prediction, and graphical models for gene regulatory and protein-protein interaction networks analysis. Practical sessions with state-of-the-art software.
MCGILL complete current official course definitionFormulation, solution and applications of integer programs. Branch and bound, cutting plane, and column generation algorithms. Combinatorial optimization. Polyhedral methods. A large emphasis will be placed on modelling. Students will select and present a case study of an application of integer programming in an area of their choice.
MCGILL complete current official course definitionPublished required and complementary course choices for the 67-credit Physics Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 67 credits for this program; faculty-wide degree and foundation requirements apply separately.
An introduction to key physical processes operating in the atmosphere, designed for students in science and engineering. Topics typically include: composition of the atmosphere; vertical structure; heat transfer; solar and terrestrial radiation and Earth's energy balance; seasonal and daily temperature changes; humidity and the formation of clouds and precipitation; stability of tropospheric air layers; applications of adiabatic charts.
MCGILL complete current official course definitionAn introduction to key physical and dynamical processes in the oceans and atmosphere. Topics typically include air-sea-ice interactions, laws of motion, the geostrophic and thermal wind relations, general circulation of the atmosphere and oceans, weather, radiative balance, climate sensitivity and variability, role of the atmosphere and oceans in climate.
MCGILL complete current official course definitionBasic notions of radiative transfer and applications of satellite and radar data to mesoscale and synoptic-scale systems are discussed. Emphasis will be put on the contribution of remote sensing to atmospheric and oceanic sciences.
MCGILL complete current official course definitionFundamentals of fluid motion on a rotating sphere: Rotating coordinate systems, the Lagrangian time derivative, and equations of motion. The geostrophic approximation and thermal wind balance; departures from geostrophy, such as frictional Ekman layers, inertial oscillations, and the gradient wind balance. The shallow water equations, including potential vorticity conservation, quasigeostrophy, and simple wave solutions.
MCGILL complete current official course definitionBuoyancy, stability, and vertical oscillations. Dry and moist adiabatic processes. Resulting dry and precipitating convective circulations from the small scale to the global scale. Mesoscale precipitation systems from the cell to convective complexes. Severe convection, downbursts, mesocyclones.
MCGILL complete current official course definitionProgramming and problem solving in a high level computer language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms such as searching and sorting. Modular software design, libraries, file input and output, debugging. Emphasis on applications in Physical Sciences and Engineering, such as root finding, numerical integration, diffusion, Monte Carlo methods.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionDerivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionTranslational motion under Newton's laws; forces, momentum, work/energy theorem. Special relativity; Lorentz transforms, relativistic mechanics, mass/energy equivalence. Topics in rotational dynamics. Noninertial frames.
MCGILL complete current official course definitionThe laws of thermodynamics and their consequences. Thermodynamics of P-V-T systems and simple heat engines. Free, driven, and damped harmonic oscillators. Coupled systems and normal modes. Fourier methods. Wave motion and dispersion. The wave equation.
MCGILL complete current official course definitionLinear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits.
MCGILL complete current official course definitionIntroductory laboratory work and data analysis as related to mechanics, optics and thermodynamics. Introduction to computers as they are employed for laboratory work, for data analysis and for numerical computation. Previous experience with computers is an asset, but is not required.
MCGILL complete current official course definitionIntroductory equilibrium statistical mechanics. Quantum states, probabilities, ensemble averages. Entropy, temperature, Boltzmann factor, chemical potential. Photons and phonons. Fermi-Dirac and Bose-Einstein distributions; applications.
MCGILL complete current official course definitionThe electrostatic field and scalar potential. Dielectric properties of matter. Energy in the electrostatic field. Methods for solving problems in electrostatics. The magnetic field. Induction and inductance. Energy in the magnetic field. Magnetic properties of matter. Maxwell's equations. The dipole approximation.
MCGILL complete current official course definitionMaxwell's equations. The wave equation. The electromagnetic wave, reflection, refraction, polarization. Guided waves. Transmission lines and wave guides. Vector potential. Radiation. The elemental dipole; the half-wave dipole; vertical dipole; folded dipoles; Yagi antennas. Accelerating charged particles.
MCGILL complete current official course definitionDe Broglie waves, Bohr atom. Schroedinger equation, wave functions, observables. One dimensional potentials. Schroedinger equation in three dimensions. Angular momentum, hydrogen atom. Spin, experimental consequences.
MCGILL complete current official course definitionStudents will gain hands-on experience in several fundamental atmospheric and oceanic science topics through practical experimentation. A diverse set of experiments will be conducted, ranging from in situ observations in Montreal, to remote sensing of clouds and radiation, to laboratory chemistry and water-tank experiments. As a background for these experiments, students will receive training on sensor principles and measurement error analysis, as well as the fundamental physical processes of interest in each experiment. They will learn to operate, and physically interpret data from, various sensors for in situ and remote observation of meteorological variables. Their training will also extend to operational weather observations, analysis, and forecasting.
MCGILL complete current official course definitionAdvanced laboratory work and data analysis as related to mechanics, optics and thermodynamics. Computers will be employed routinely for data analysis and for numerical computation, and, particularly, to facilitate the use of Fourier methods.
MCGILL complete current official course definitionThis course covers the essentials of climate physics through the lens of one-dimensional, vertical atmospheric models. This includes shortwave and longwave radiative transfer, convection, phase changes, clouds, greenhouse gases, and atmospheric escape. This is an adequate level of detail for understanding Earth's climate, paleoclimate, anthropogenic climate change, or pursuing studies of Solar System planets and extrasolar planets.
MCGILL complete current official course definitionThe student will carry out a research project under the supervision of a member of the staff. The student will be expected to write a report and present a seminar on the work.
MCGILL complete current official course definitionEquations of motion used to study waves, turbulence, and the general circulation of the atmosphere and oceans. Standard approximations to these equations, including the Boussinesq, primitive, quasigeostrohic, and rotating shallow water equations. Emphasis is on effects for which rotation and/or buoyancy play essential roles. Simple classes of flow, e.g., geostrophic, thermal wind, Ekman, and inertial oscillations.
MCGILL complete current official course definitionDescription of the principal wave types and instability mechanisms of geophysical fluid dynamics. Geostrophic adjustment, wave dispersion, the WKBJ approximation. Wave types considered include (internal) inertia-gravity waves, planetary Rossby waves, and the equatorial and coastal wave guides. Instabilities considered include inertial, symmetric, barotropic, baroclinic, and Kelvin-Helmholtz instability.
MCGILL complete current official course definitionApplication of statistical and semi-empirical methods to the study of geophysical turbulence. Reynolds' equations, dimensional analysis, and similarity. The surface and planetary boundary layers. Oceanic mixed layer. Theories of isotropic two- and three- dimensional turbulence: energy and enstrophy inertial ranges. Beta turbulence.
MCGILL complete current official course definitionA detailed overview of the environmental factors and microphysical processes involved in the formation of clouds and precipitation. Topics typically include: cloud observations, atmospheric thermodynamics, environmental stability regimes, convection, the microphysics of the formation of cloud droplets and ice crystals, initiation of precipitation, aerosol–cloud interactions.
MCGILL complete current official course definitionSolar and terrestrial radiation. Interactions of molecules, aerosols, clouds, and precipitation with radiation of various wavelengths. Radiative transfer through the clear and cloudy atmosphere. Radiation budgets. Satellite and ground-based measurements. Climate implications.
MCGILL complete current official course definitionA detailed overview of the climate and the global energy balance. Topics typically include: energy balance at top of the atmosphere and at the surface, poleward energy flux, the role of clouds, climate and atmospheric/oceanic general circulations, natural variability of the climate system, evolution of climate and climate change.
MCGILL complete current official course definitionAnalysis of current meteorological data. Description of a geostrophic, hydrostatic atmosphere. Ageostrophic circulations and hydrostatic instabilities. Kinematic and thermodynamic methods of computing vertical motions. Tropical and extratropical condensation rates. Barotropic and equivalent barotropic atmospheres.
MCGILL complete current official course definitionAnalysis of current meteorological data. Quasi-geostrophic theory, including the omega equation, as it relates to extratropical cyclone and anticyclone development. Frontogenesis and frontal circulations in the lower and upper troposphere. Cumulus convection and its relationship to tropical and extratropical circulations. Diagnostic case study work.
MCGILL complete current official course definitionTheory of meteorologically important mesoscale phenomena including mesoscale instabilities, cumulus convection and its organization (including thunderstorms, squall lines, and other forms of severe weather), internal gravity waves, and topographically forced flows. Application of theory to the physical interpretation of observations and numerical simulations.
MCGILL complete current official course definitionThe analysis of observational and modeling data, and the advantages and limitations of different data. Different analysis methods including regression, linear stochastic processes autocovariance and spectral analysis, principle component analysis, inverse problems and data assimilation, commonly used in the atmospheric and oceanic sciences.
MCGILL complete current official course definitionNumerical simulation of atmospheric and oceanic processes. Finite difference, finite element, and spectral modelling techniques. Term project including computer modelling of convection or large-scale flows in the atmosphere or ocean.
MCGILL complete current official course definitionMajor topics in physics and dynamics of the ocean including seawater properties, density and equation of state, sea ice, air-sea-ice exchanges, mixing and stability in the ocean, wind-driven and thermohaline circulations. Observational techniques and numerical models of the ocean, which include some data analysis and literature review.
MCGILL complete current official course definitionSelected topics in machine learning and data mining, including clustering, neural networks, support vector machines, decision trees. Methods include feature selection and dimensionality reduction, error estimation and empirical validation, algorithm design and parallelization, and handling of large data sets. Emphasis on good methods and practices for deployment of real systems.
MCGILL complete current official course definitionForced and damped oscillators, Newtonian mechanics in three dimensions, rotational motion, Lagrangian and Hamiltonian mechanics, small vibrations, normal modes. Nonlinear dynamics and chaos.
MCGILL complete current official course definitionIntroduction to modern techniques of measurement. The use of computers in performing and analysing experiments. Data reduction, statistical methods, report writing. Extensive use of computers is made in this laboratory; therefore some familiarity with computers and computing is an advantage.
MCGILL complete current official course definitionThis course covers the essentials of climate physics through the lens of one-dimensional, vertical atmospheric models. This includes shortwave and longwave radiative transfer, convection, phase changes, clouds, greenhouse gases, and atmospheric escape. This is an adequate level of detail for understanding Earth's climate, paleoclimate, anthropogenic climate change, or pursing studies of Solar System planets and extrasolar planets.
MCGILL complete current official course definitionThe physical properties of fluids. The kinematics and dynamics of flow. The effects of viscosity and turbulence. Applications of fluid mechanics in biophysics, geophysics and engineering.
MCGILL complete current official course definitionFundamental concepts of optics, including applications and modern developments. Light propagation in media; geometric optics and optical instruments; polarization and coherence properties of light; interference and interferometry; diffraction theory and applications in spectrometry and imaging; Gaussian beams, Fourier optics and photonic band structure. A laboratory component provides hands-on experience in optical setup design, construction and testing of concepts introduced in lectures.
MCGILL complete current official course definitionA supervised research project.
MCGILL complete current official course definitionComputational methods in Physics illustrated with realworld applications.
MCGILL complete current official course definitionPublished required and complementary course choices for the 69-credit Physics and Geophysics Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 69 credits for this program; faculty-wide degree and foundation requirements apply separately.
A study of the fundamental principles of atomic structure, radiation and nuclear chemistry, valence theory, coordination chemistry, and the periodic table.
MCGILL complete current official course definitionA study of the fundamental principles of physical chemistry.
MCGILL complete current official course definitionThe basic laws and principles of Newtonian mechanics; oscillations, waves, and wave optics.
MCGILL complete current official course definitionThe basic laws of electricity and magnetism; geometrical optics.
MCGILL complete current official course definitionAn introduction to the phylogeny, structure, function and adaptation of unicellular organisms, plants and animals in the biosphere.
MCGILL complete current official course definitionThe cell: ultrastructure, division, chemical constituents and reactions. Bioenergetics: photosynthesis and respiration. Principles of genetics, the molecular basis of inheritance and biotechnology.
MCGILL complete current official course definitionSystems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.
MCGILL complete current official course definitionReview of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
MCGILL complete current official course definitionThe definite integral. Techniques of integration. Applications. Introduction to sequences and series.
MCGILL complete current official course definitionFunctions, limits and continuity, differentiation, L'Hospital's rule, applications, Taylor polynomials, parametric curves, functions of several variables.
MCGILL complete current official course definitionIntegration, methods and applications, infinite sequences and series, power series, arc length and curvature, multiple integration.
MCGILL complete current official course definitionHeld locally in Québec. Field projects focused on geological mapping of selected areas, the preparation of maps and reports from field notes, the use of aerial photographs, and the exploration of various field techniques in various tectonic settings.
MCGILL complete current official course definitionLectures and field-based exercises, held locally on campus and in the Montreal area, introduce students to the reading and interpretation of a topographic map, the basic description of a stratigraphic section and the inference of its depositional environment, the nature of intrusive contacts, and the field measurement of some structural features and geophysical properties. Students plot geological information on a map, identify landforms in aerial views and learn the tectonic features diagnostic of plate margins. By the end of the course, the students relate a geological map to the geological history of Quebec.
MCGILL complete current official course definitionPrimary igneous and sedimentary structures, attitudes of planes and lines, stress and strain, fracturing of rocks, faulting, homogeneous strain, description and classification of folds, foliation and lineation, orthographic and stereographic projections.
MCGILL complete current official course definitionPhysical properties of Earth and the processes associated with its existence as inferred from astronomy, geodesy, seismology, geology, terrestrial magnetism and thermal evolution.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionDerivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionTranslational motion under Newton's laws; forces, momentum, work/energy theorem. Special relativity; Lorentz transforms, relativistic mechanics, mass/energy equivalence. Topics in rotational dynamics. Noninertial frames.
MCGILL complete current official course definitionThe laws of thermodynamics and their consequences. Thermodynamics of P-V-T systems and simple heat engines. Free, driven, and damped harmonic oscillators. Coupled systems and normal modes. Fourier methods. Wave motion and dispersion. The wave equation.
MCGILL complete current official course definitionLinear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits.
MCGILL complete current official course definitionIntroductory laboratory work and data analysis as related to mechanics, optics and thermodynamics. Introduction to computers as they are employed for laboratory work, for data analysis and for numerical computation. Previous experience with computers is an asset, but is not required.
MCGILL complete current official course definitionAdvanced laboratory work and data analysis as related to mechanics, optics and thermodynamics. Computers will be employed routinely for data analysis and for numerical computation, and, particularly, to facilitate the use of Fourier methods.
MCGILL complete current official course definitionForced and damped oscillators, Newtonian mechanics in three dimensions, rotational motion, Lagrangian and Hamiltonian mechanics, small vibrations, normal modes. Nonlinear dynamics and chaos.
MCGILL complete current official course definitionIntroductory equilibrium statistical mechanics. Quantum states, probabilities, ensemble averages. Entropy, temperature, Boltzmann factor, chemical potential. Photons and phonons. Fermi-Dirac and Bose-Einstein distributions; applications.
MCGILL complete current official course definitionThe electrostatic field and scalar potential. Dielectric properties of matter. Energy in the electrostatic field. Methods for solving problems in electrostatics. The magnetic field. Induction and inductance. Energy in the magnetic field. Magnetic properties of matter. Maxwell's equations. The dipole approximation.
MCGILL complete current official course definitionMaxwell's equations. The wave equation. The electromagnetic wave, reflection, refraction, polarization. Guided waves. Transmission lines and wave guides. Vector potential. Radiation. The elemental dipole; the half-wave dipole; vertical dipole; folded dipoles; Yagi antennas. Accelerating charged particles.
MCGILL complete current official course definitionDe Broglie waves, Bohr atom. Schroedinger equation, wave functions, observables. One dimensional potentials. Schroedinger equation in three dimensions. Angular momentum, hydrogen atom. Spin, experimental consequences.
MCGILL complete current official course definitionThe physical properties of fluids. The kinematics and dynamics of flow. The effects of viscosity and turbulence. Applications of fluid mechanics in biophysics, geophysics and engineering.
MCGILL complete current official course definitionRheology of the Earth, mechanics of the crust and mantle and core, convection in the mantle, evolution and kinematics and deformations of the oceanic and continental plates, thermal evolution of the Earth, the unifying theory of plate tectonics.
MCGILL complete current official course definitionResearch project designed by a student in consultation with a departmental faculty member of Earth & Planetary Sciences.
MCGILL complete current official course definitionTopics in geodynamics and its connection to climate and surface processes, including the Earth's gravity field, body and orbital dynamics, tidal interactions, Earth deformation under static and dynamic loads including glacial isostatic adjustment and sea level change, the history and dynamics of the Earth's climate and of surface ice and water.
MCGILL complete current official course definitionWhat are earthquakes and how do we study them? Fundamental mechanics of faulting and earthquake source processes are explored from theoretical and observational perspectives. The lectures cover concepts of earthquake source mechanism, including seismic waves, earthquake energy budget, fracture and friction mechanics, earthquake cycle deformation, earthquake triggering and prediction, and seismic hazards. This is complemented by in-class discussion on recent major discoveries and challenges in the field. Students learn to investigate earthquake source process by using seismic, geodetic and geological data in computer labs and course projects supervised by the instructor(s).
MCGILL complete current official course definitionIntroduction to groundwater flow through porous media. Notions of fluid potential and hydraulic head. Darcy flux and Darcy's Law. Physical properties of porous media and their measurement. Equation of groundwater flow. Flow systems. Hydraulics of pumping and recharging wells. Notions of hydrology. Groundwater quality and contamination. Physical processes of contaminant transport.
MCGILL complete current official course definitionA survey of astrophysics ranging from stars and planets, to compact objects, galaxies, and the large-scale evolution of the Universe. A calculusbased course, with a focus on simple mathematical derivations that capture the essential physics.
MCGILL complete current official course definitionData analysis methods as applied in experimental physics, with an emphasis on applications in observational astrophysics. An introduction to Bayesian inference, model selection, Markov Chain Monte Carlo, common probability distributions, jackknives and null tests, as they are used in the analysis of observational data from across the electromagnetic spectrum.
MCGILL complete current official course definitionIntroduction to modern techniques of measurement. The use of computers in performing and analysing experiments. Data reduction, statistical methods, report writing. Extensive use of computers is made in this laboratory; therefore some familiarity with computers and computing is an advantage.
MCGILL complete current official course definitionThis course covers the essentials of climate physics through the lens of one-dimensional, vertical atmospheric models. This includes shortwave and longwave radiative transfer, convection, phase changes, clouds, greenhouse gases, and atmospheric escape. This is an adequate level of detail for understanding Earth's climate, paleoclimate, anthropogenic climate change, or pursing studies of Solar System planets and extrasolar planets.
MCGILL complete current official course definitionA supervised research project.
MCGILL complete current official course definitionSupervised research project and thesis.
MCGILL complete current official course definitionSee PHYS 459D1 for course description.
MCGILL complete current official course definitionComputational methods in Physics illustrated with realworld applications.
MCGILL complete current official course definitionAn advanced course in modern astrophysics, covering topics such as the basic tools of astronomy (statistics, mathematical methods, computational tools, and instrumentation); stellar astrophysics (properties, structure, atmospheres, binaries/exoplanets); the interstellar medium, star formation, stellar evolution and endpoints (white dwarfs, neutron stars, black holes); and the Milky Way, galaxies, and cosmology.
MCGILL complete current official course definitionPublished required and complementary course choices for the 66-credit Physics and Computer Science Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 66 credits for this program; faculty-wide degree and foundation requirements apply separately.
A study of the fundamental principles of atomic structure, radiation and nuclear chemistry, valence theory, coordination chemistry, and the periodic table.
MCGILL complete current official course definitionA study of the fundamental principles of physical chemistry.
MCGILL complete current official course definitionThe basic laws and principles of Newtonian mechanics; oscillations, waves, and wave optics.
MCGILL complete current official course definitionThe basic laws of electricity and magnetism; geometrical optics.
MCGILL complete current official course definitionAn introduction to the phylogeny, structure, function and adaptation of unicellular organisms, plants and animals in the biosphere.
MCGILL complete current official course definitionThe cell: ultrastructure, division, chemical constituents and reactions. Bioenergetics: photosynthesis and respiration. Principles of genetics, the molecular basis of inheritance and biotechnology.
MCGILL complete current official course definitionSystems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.
MCGILL complete current official course definitionReview of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
MCGILL complete current official course definitionThe definite integral. Techniques of integration. Applications. Introduction to sequences and series.
MCGILL complete current official course definitionFunctions, limits and continuity, differentiation, L'Hospital's rule, applications, Taylor polynomials, parametric curves, functions of several variables.
MCGILL complete current official course definitionIntegration, methods and applications, infinite sequences and series, power series, arc length and curvature, multiple integration.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionIntroduction to discrete mathematics and applications. Logical reasoning and methods of proof. Elementary number theory and cryptography: prime numbers, modular equations, RSA encryption. Combinatorics: basic enumeration, combinatorial methods, recurrence equations. Graph theory: trees, cycles, planar graphs.
MCGILL complete current official course definitionTranslational motion under Newton's laws; forces, momentum, work/energy theorem. Special relativity; Lorentz transforms, relativistic mechanics, mass/energy equivalence. Topics in rotational dynamics. Noninertial frames.
MCGILL complete current official course definitionIntroductory laboratory work and data analysis as related to mechanics, optics and thermodynamics. Introduction to computers as they are employed for laboratory work, for data analysis and for numerical computation. Previous experience with computers is an asset, but is not required.
MCGILL complete current official course definitionAdvanced laboratory work and data analysis as related to mechanics, optics and thermodynamics. Computers will be employed routinely for data analysis and for numerical computation, and, particularly, to facilitate the use of Fourier methods.
MCGILL complete current official course definitionComprehensive overview of programming in C, use of system calls and libraries, debugging and testing of code; use of developmental tools like make, version control systems.
MCGILL complete current official course definitionData Structures: priority queues, balanced binary search trees, hash tables, graphs. Algorithms: topological sort, connected components, shortest paths, minimum spanning trees, bipartite matching, network flows. Algorithm design: greedy, divide and conquer, dynamic programming, randomization. Mathematicaltools: proofs of asymptotic complexity and program correctness, Master theorem.
MCGILL complete current official course definitionProgramming language design issues and programming paradigms. Binding and scoping, parameter passing, lambda abstraction, data abstraction, type checking. Functional and logic programming.
MCGILL complete current official course definitionComputer representation of numbers, IEEE Standard for Floating Point Representation, computer arithmetic and rounding errors. Numerical stability. Matrix computations and software systems. Polynomial interpolation. Least-squares approximation. Iterative methods for solving a nonlinear equation. Discretization methods for integration and differential equations.
MCGILL complete current official course definitionDerivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionThe laws of thermodynamics and their consequences. Thermodynamics of P-V-T systems and simple heat engines. Free, driven, and damped harmonic oscillators. Coupled systems and normal modes. Fourier methods. Wave motion and dispersion. The wave equation.
MCGILL complete current official course definitionLinear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits.
MCGILL complete current official course definitionAdvanced algorithm design and analysis. Linear programming, complexity and NP-completeness, advanced algorithmic techniques.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionForced and damped oscillators, Newtonian mechanics in three dimensions, rotational motion, Lagrangian and Hamiltonian mechanics, small vibrations, normal modes. Nonlinear dynamics and chaos.
MCGILL complete current official course definitionIntroduction to modern techniques of measurement. The use of computers in performing and analysing experiments. Data reduction, statistical methods, report writing. Extensive use of computers is made in this laboratory; therefore some familiarity with computers and computing is an advantage.
MCGILL complete current official course definitionThe electrostatic field and scalar potential. Dielectric properties of matter. Energy in the electrostatic field. Methods for solving problems in electrostatics. The magnetic field. Induction and inductance. Energy in the magnetic field. Magnetic properties of matter. Maxwell's equations. The dipole approximation.
MCGILL complete current official course definitionDe Broglie waves, Bohr atom. Schroedinger equation, wave functions, observables. One dimensional potentials. Schroedinger equation in three dimensions. Angular momentum, hydrogen atom. Spin, experimental consequences.
MCGILL complete current official course definitionA project incorporating aspects of both physics and computer science, under the joint supervision of the two departments. The Physics aspect may be either laboratory-based or theoretical in nature. The Computational aspect will involve the development and implementation of algorithms arising from the investigation.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Environment Major - Biodiversity and Conservation (B.Sc.(Ag.Env.Sc.)) or (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
A systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionThe planning of projects and research activities related to tropical food, nutrition, or energy at the local, regional, or national scale in Barbados. Projects and activities designed in consultation with university instructors, government, NGO, or private partners, and prepared by teams of 2-3 students working cooperatively with these mentors.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionThree intersecting components: 1) core development themes including culture change, environmental conservation, water, health, development (urban and rural), governance and conflict resolution, 2) research techniques for topics related to core themes, including ethics, risk, field methods and data analysis, 3) field documentation, scientific recording and communication.
MCGILL complete current official course definitionOverview of the tree of life and exploration of the central role evolution plays in the field of biology. Difficulties inherent to classifying life and critically assessing evolutionary theory among scientific and popular audiences. The importance of phylogenetics and the relationships among major groups of organisms.
MCGILL complete current official course definitionA comprehensive introduction to evolutionary biology. It covers both short-term and long-term evolutionary processes. Topics include the history of life, the origin of species, adaptation, natural selection and sexual selection.
MCGILL complete current official course definitionIntroduction to the biology of heterotrophs, focusing on animal diversity from the perspectives of phylogenetics, physiology, and ecology. Introduction to major animal taxa, comparing and contrasting these taxa, and exploration of the relationships among them.
MCGILL complete current official course definitionThe characteristics of the major groups of animals, their ancestry, history and relationship to one another. The processes of speciation, adaptive radiation and extinction responsible for diversity. Methods for constructing of phylogenies, for comparing phenotypes, and for estimating and analyzing diversity.
MCGILL complete current official course definitionDiscussion of relevant theoretical and applied issues in conservation biology. Topics: biodiversity, population viability analysis, community dynamics, biology of rarity, extinction, habitat fragmentation, social issues.
MCGILL complete current official course definitionStudy of current controversial issues focusing on wildlife conservation. Topics include: animal rights, exotic species, ecotourism, urban wildlife, multi-use of national parks, harvesting of wildlife, biological controls, and endangered species.
MCGILL complete current official course definitionPrinciples of population, community, and ecosystem dynamics: population growth and regulation, species interactions, dynamics of competitive interactions and of predator/prey systems; evolutionary dynamics.
MCGILL complete current official course definitionInteractions between organisms and their environment; historical and current perspectives in applied and theoretical population and community ecology. Principles of population dynamics, feedback loops, and population regulation. Development and structure of communities; competition, predation and food web dynamics. Biodiversity science in theory and practice.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionExploratory data analysis, univariate descriptive and inferential statistics, non-parametric statistics, correlation and simple regression. Problems associated with analysing spatial data such as the 'modifiable areal unit problem' and spatial autocorrelation. Statistics measuring spatial pattern in point, line and polygon data.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionManagement, preservation, and utilization of forage crops in sustainable tropical environments; examination of their value as livestock feed in terms of nutritional composition and impact on animal performance; land use issues as it pertains to forage and animal production in insular environments.
MCGILL complete current official course definitionThe field of economics as it relates to the activities of individual consumers, firms and organizations. Emphasis is on the application of economic principles and concepts to everyday decision making and to the analysis of current economic issues.
MCGILL complete current official course definitionExamination of North American and international agriculture, food and resource policies, policy instruments, programs and their implications. Economic analysis applied to the principles, procedures and objectives of various policy actions affecting agriculture, and the environment.
MCGILL complete current official course definitionDevelopment of observation and independent inquiry skills through: 1) participation in short-term project modules in collaboration with existing researchers; 2) participation in interdisciplinary team research on topics selected to allow comparative analysis of field sites; 3) active and systematic observation, documentation, and integration of field experience in ecology and development issues.
MCGILL complete current official course definitionA university-level introduction to demand and supply, consumer behaviour, production theory, market structures and income distribution theory.
MCGILL complete current official course definitionA study of the application of economic theory to questions of environmental policy. Particular attention will be given to the measurement and regulation of pollution, congestion and waste and other environmental aspects of specific economies.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionExamines challenges to sustainability through a series of case studies to illustrate the analytical approaches used to understand the linkages between scientific-technological, socio-economic, political-institutional, ethical, and human behavioural aspect of systems. Includes cases that are thematic and place-based, national and international, spanning from the local to global scales.
MCGILL complete current official course definitionExamines the geographical dimensions of development policy, specifically the relationships between the process of development and human-induced environmental change. Focuses on environmental sustainability, struggles over resource control, population and poverty, and levels of governance (the role of the state, non-governmental organizations, and local communities).
MCGILL complete current official course definitionDevelopment of observation and independent inquiry skills through: 1) participation in short-term project modules in collaboration with existing researchers; 2) participation in interdisciplinary team research on topics selected to allow comparative analysis of field sites; 3) active and systematic observation, documentation, and integration of field experience in ecology and development issues.
MCGILL complete current official course definitionSelection, use and care of plants in urban environments for the benefit of urban populations: landscape design, turf and green space management, urban trees, green roofs and walls, design and management of community gardens, urban agriculture.
MCGILL complete current official course definitionThe politics and processes of global governance in the 21st century, with a special emphasis on the United Nations system.
MCGILL complete current official course definitionEnvironmental problems like climate change, deforestation, biodiversity loss, and ocean acidification transcend national borders. Solving these problems will require global cooperation on an unprecedented level. This course will explore the challenges of contemporary global environmental governance and the innovative solutions being advanced at the community, municipal, provincial, national, and international levels.
MCGILL complete current official course definitionProduction of written and oral assignments (in English) designed to communicate scientific problems and findings to varied audiences Analysis of the disciplinary conventions of scientific discourse in terms of audience, purpose, organization, and style; comparative rhetorical analysis of academic and popular genres, including abstracts, lab reports, research papers, print and online journalism.
MCGILL complete current official course definitionField studies of ferns, fern allies, conifers and flowering plants; the use of keys for plant identification.
MCGILL complete current official course definitionMethods of sampling natural populations. Testing hypotheses in nature.
MCGILL complete current official course definitionRelevant to agriculture, forestry, fisheries and conservation of natural resources. Field component taught at the University's Bellairs Research Institute in Barbados, for two weeks in early May. The course is organized in a series of small-group field projects of 2-3 days each. Interested students should check the course website, attend the full information session and fill out an application form.
MCGILL complete current official course definitionSee BIOL 334D1 for course description.
MCGILL complete current official course definitionBiology of marine mammals with special emphasis on seals and whales of the Bay of Fundy. Taught at the Huntsman Marine Science Centre, St. Andrews, N.B., for two weeks in August. The course combines lectures, laboratory exercises, field trips, and individual projects.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionA field course and project about arthropod taxonomy, field methods and experimental design in entomology. Includes natural history observation, and experimental approaches to arthropod population and community ecology.
MCGILL complete current official course definitionBiotic and abiotic processes that control the flows of energy, nutrients and water through ecosystems; emergent system properties; approaches to analyzing complex systems. Labs include collection and multivariate analysis of field data.
MCGILL complete current official course definitionField research projects in physical geography. Held locally in Monteregian or Eastern Township regions. The course is organised around field projects designed to formulate and test scientific hypotheses in a physical geography discipline. May Summer session.
MCGILL complete current official course definitionPrinciples of classification and identification of flowering plants and ferns, with emphasis on 35 major families of flowering plants and the habitats in which they grow.
MCGILL complete current official course definitionTheory and practice of plant ecology with an emphasis on the interaction between patterns and ecological processes and the dynamics, conservation and management of plant populations and communities over a range of temporal and spatial scales.
MCGILL complete current official course definitionPrinciples of fisheries and wildlife management are considered and current practices of research and management are discussed.
MCGILL complete current official course definitionA three week field course exploring relationships between climate, geology, landforms, biodiversity, biotic adaptations and ecosystem conditions in the arid regions of Arizona and southern California. Focus is on the Sonoran and Mojave deserts but includes the transitions to adjacent grassland and forest biomes of the Sky Islands and Colorado Plateau. Exploration of issues arising from human use of land and water, and conservation in arid environments. Experiential learning involving team and individual projects and assignments before and during the field trip.
MCGILL complete current official course definitionThe study of silviculture and silvics and their application to forest management to sustain the production of wood and other ecological goods and services such as wildlife, water and landscape in natural forests and rural environments (agroforestry). Acquisition of practical skills in forest surveying and computer simulation of forest growth.
MCGILL complete current official course definitionPopulation genetics mechanisms in mammals, birds and plant. Factors influencing gene, genotype, and phenotypic frequencies. Effects of different types of selection, Hardy-Weinberg, linkage and recombination, polymorphisms and heterozygosity, population size, random drift and inbreeding on gene and genotype frequencies. Relationship between quantitative genetic parameters and gene frequencies.
MCGILL complete current official course definitionThe climate system and ongoing global change, ocean and atmosphere circulation and future trends in the tropics; local climate variability and dynamics, extreme weather events in the Caribbean .
MCGILL complete current official course definitionIntroduction to basic principles, and to modern advances, problems and applications in the genetics of higher and lower organisms with examples representative of the biological sciences.
MCGILL complete current official course definitionIntroduction to the study of animal behaviour at the population, organismal, cellular, and molecular levels. Historical and contemporary methods and experiments will be presented and discussed to provide an overall appreciation of the biology of behaviour, with a focus on the application of multiple levels of analysis to biological phenomena and the formulation of hypotheses about evolution, development, function, and mechanisms of behavioural traits. Topics will range from how animals communicate with one another to the cellular mechanisms that allow information to be processed by nervous systems.
MCGILL complete current official course definitionPresents evolutionary genetics within an ecological context. Covers theoretical and applied topics together with relevant data from natural populations of plant and animals.
MCGILL complete current official course definitionAn introduction to freshwater and marine biology. Topics include the structure and functioning of the major aquatic ecosystems and how these aspects are affected by global change drivers.
MCGILL complete current official course definitionA study of the physical, chemical and biological properties of lakes and other inland waters, with emphasis on their functioning as systems.
MCGILL complete current official course definitionAn introduction to how the ocean functions biologically: biology and ecology of marine plankton; regulation, extent and fate of production in the sea.
MCGILL complete current official course definitionAquatic ecology and the major issues challenging the field.
MCGILL complete current official course definitionIntroduction to water resources and hydrologic cycle. Precipitation and hydrologic frequency analysis. Soil water processes, infiltration theory and modeling. Evapotranspiration estimation methods and crop water requirements. Surface runoff estimation as a function of land use modifications. Estimation of peak runoff rates. Unit hydrograph. Design of open channels and vegetated waterways.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionTopics in the interface of evolution, phylogenetics, and biogeography, including tree thinking, phylogeny estimation, and the processes that generate and maintain biodiversity. The major scientific discoveries that demonstrated how Earth’s history affects the evolution of organisms, including the unheard voices of evolutionary biology.
MCGILL complete current official course definitionExploring the impact of environmental chemicals on biological organisms in an ecological context. Basic topics in ecotoxicology, such as source and fate, routes of exposure, bioavailability, dose-response, biomarkers, and risk assessment will be covered from both theoretical and applied perspectives. The processes by which pollutants are tested, regulated, and monitored will be critically examined.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionIntroduction to the study of landforms as products of geomorphic and geologic systems acting at and near the Earth's surface. The process geomorphology approach will be used to demonstrate how landforms of different geomorphic settings represent a dynamic balance between forces acting in the environment and the physical properties of materials present.
MCGILL complete current official course definitionThe earth-atmosphere system, radiation and energy balances. Surface-atmosphere exchange of energy, mass and momentum and related atmospheric processes on a local and regional scale. Introduction to measurement theory and practice in micrometeorology.
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionThe course integrates classical, molecular and population genetics of animals, plants, bacteria and viruses. The aim is to understand the flow of genetic information within a cell, within families and in populations. Emphasis will be placed on problem solving based learning. The laboratory exercises will emphasize the interpretation of genetic experimental data.
MCGILL complete current official course definitionThe ecology of microorganisms, primarily bacteria and archaea, and their roles in biogeochemical cycles. Microbial interactions with the environment, plants, animals and other microbes emphasizing the underlying genetics and physiology. Diversity, evolution (microbial phylogenetics) and the application of molecular biology in microbial ecology.
MCGILL complete current official course definitionPlant nutrients in the soil, influence of soil properties on nutrient absorption and plant growth, use of organic and inorganic fertilizers.
MCGILL complete current official course definitionThe role of resources in the environment, use of resources, and management of economic resources within the firm or organization. Problem-solving, case studies involving private and public decision-making in organizations are utilized.
MCGILL complete current official course definitionInternational development and world food security and challenges in developing countries. Soil and water management, climate change, demographic issues, plant and animal resources conservation, bio-products and biofuels, economic and environmental issues specially in tropical and sub-tropical regions. Globalization, sustainable development, technology transfer and human resources needs for rural development.
MCGILL complete current official course definitionUnderstanding the roles in which animals are used by Society, especially in food production, companionship, research, and recreation; application of the scientific approaches that are used in assessing and improving animal welfare; and use of ethical approaches that are invoked in the use of animals, often in controversial contexts. An interdisciplinary course, based on active participation and discussion-method learning.
MCGILL complete current official course definitionIntensive study of theories and cases in ecological anthropology. Theories are examined and tested through comparative case-study analysis. Cultural constructions of "nature" and "environment" are compared and analyzed. Systems of resource management and conflicts over the use of resources are studied in depth.
MCGILL complete current official course definitionStudy of environmental effects of development in East Africa, especially due to changes in traditional land tenure and resource use across diverse ecosystems. Models, policies and cases of pastoralist, agricultural, fishing, wildlife and tourist development will be examined, across savanna, desert, forest, highland and coastal environments.
MCGILL complete current official course definitionInstruction focuses on three goals: 1) existing research in selected core thematic areas, 2) participating in interdisciplinary team research, 3) developing powers of observation and independent inquiry. Students will be expected to develop research activities and interdisciplinary perspectives, and to become conversant with advances in local research in their field.
MCGILL complete current official course definitionMacroeconomic and structural aspects of the ecological crisis. A course in which subjects discussed include the conflict between economic growth and the laws of thermodynamics; the search for alternative economic indicators; the fossil fuels crisis; and "green'' fiscal policy.
MCGILL complete current official course definitionThis course will focus on the role of place and history in the cities in which we live and in our understanding of sustainability. Each year, students will work to develop a historical reconstruction of the natural environment of Montreal and of its links to the cultural landscape, building on the work of previous cohorts of students.
MCGILL complete current official course definitionPractical application of environmental planning, analysis and management techniques with reference to the needs and problems of developing areas. Special challenges posed by cultural differences and traditional resource systems are discussed. This course involves practical field work in a developing area (Kenya or Panama).
MCGILL complete current official course definitionFocus on understanding of inter-relations between humans and neotropical environments represented in Panama. Study of contemporary rural landscapes, their origins, development and change. Impacts of economic growth and inequality, social organization, and politics on natural resource use and environmental degradation. Site visits and field exercises in peasant/colonist, Amerindian, and plantation communities.
MCGILL complete current official course definitionLinkage of physical processes (hydrology and ecosystems) with issues of societal and socio-economic relevance (land, food, and water use appropriation for human well-being). Application of a holistic perspective on land, food and water issues in an international setting, highlighting linkages, feedbacks and trade-offs in an Earth system context.
MCGILL complete current official course definitionA comprehensive survey of the major fruit, vegetable, turf, and ornamental crops grown in Barbados. Effect of cultural practices, environment, pests and pathogens, social and touristic activities, and importation of horticultural produce on local horticulture.
MCGILL complete current official course definitionFocus on low-input, sustainable, and organic agriculture: the farm as an ecosystem; complex system theory; practical examples of soil management, pest control, integrated crop and livestock production, and marketing systems.
MCGILL complete current official course definitionEcological bases of the natural causes and consequences of current global environmental changes, including how biodiversity and ecosystem processes are defined and measured, how they vary in space and time, how they are affected by physical and biological factors, and how they affect each other and human societies.
MCGILL complete current official course definitionBiodiversity loss and the measure of ecological integrity of ecosystems, patterns of diversification and evolution of terrestrial and oceanic biotas in the Caribbean.
MCGILL complete current official course definitionUsing dinosaurs as exemplars, this course teaches aspects of comparative, functional, and developmental morphology, macroevolution, macroecology, and phylogenetic systematics. Lab dissections will explore vertebrate anatomy.
MCGILL complete current official course definitionPrinciples of biology as exemplified by amphibians and reptiles. Topics include: adaptation, social behaviour, reproductive strategies, physiology, biomechanics, ecology, biogeography and evolution. Laboratories will emphasize structure, systematics and identification of local and world herpetofauna as well as field methods.
MCGILL complete current official course definitionThe origin, maintenance and roles of biological diversity within ecological communities.
MCGILL complete current official course definitionCauses and consequences of biological invasion, as well as risk assessment methods and management strategies for dealing with invasive species.
MCGILL complete current official course definitionIntroduction to entomology, including the the importance and diversity of insects; insect morphology, anatomy and physiology; insect sensory systems; reproduction; metamorphosis; insect classification and survey of the orders and common families.
MCGILL complete current official course definitionCauses and consequences of biological invasion, as well as risk assessment methods and management strategies for dealing with invasive species.
MCGILL complete current official course definitionSystematics, morphology, biology and ecology of parasitic protozoa, flatworms, roundworms and arthropods with emphasis on economically and medically important species.
MCGILL complete current official course definitionThis course describes the various groups of fungi and explores in depth their biology and physiology, their ecological niches and the role in various ecosystems and their benefits and uses in industry and biotechnology.
MCGILL complete current official course definitionA study of the biology of undesirable vegetation as related to the principles of prevention and physical, biological, managerial and chemical control. Emphasis on the environmental impact of the different methods of weed control.
MCGILL complete current official course definitionNatural history museums and their collections, how collections are created and maintained and how collections are used in scientific research. Context of natural history museums, collections-based research and curatorial methods.
MCGILL complete current official course definitionThe diversity and natural history of Canadian vertebrates illustrated with trophic, phylogenetic, and macroecological approaches.
MCGILL complete current official course definitionThis course focuses on the evolution, classification, ecology and behaviour of mammals and relations between humans and mammals. Also structure, systematics and identification of local and world mammals, as well as field methods will be emphasized.
MCGILL complete current official course definitionTaxonomic relationships and evolution of birds. Examination of the physiology, migration, identification and ecological processes of North American birds.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Environment Major - Ecological Determinants of Health - Cellular (B.Sc.(Ag.Env.Sc.)) or (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
A systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionThe planning of projects and research activities related to tropical food, nutrition, or energy at the local, regional, or national scale in Barbados. Projects and activities designed in consultation with university instructors, government, NGO, or private partners, and prepared by teams of 2-3 students working cooperatively with these mentors.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionMajor themes and contemporary case studies in global health and environmental change. Focus on understanding global trends in emerging infectious disease from social, biophysical, and geographical perspectives, and critically assessing the health implications of environmental change in different international contexts.
MCGILL complete current official course definitionInfectious pathogens of humans and animals and their impact on the global environment are considered. The central tenet is that infectious pathogens are environmental risk factors. The course considers their impact on the human condition and juxtaposes the impact of control and treatment measures and environmental change.
MCGILL complete current official course definitionKey chemical, physical, and social stressors in the environment, and how these affect the health of people and ecosystems. Hazards in air, water, food, and work environments. Historic, current, and future need for environmental health science, from scientific, personal, and practical perspectives.
MCGILL complete current official course definitionDiscussion of the research questions and methods of health geography. Particular emphasis on health inequalities at multiple geographic scales and the theoretical links between characteristics of places and the health of people.
MCGILL complete current official course definitionA critical review of current themes and trends in health geography, with an emphasis on housing as a place-based determinant of health and as a setting for intervention, i.e. how changes in housing conditions can translate into improvements in health and well-being. Seminars focus on critical appraisal of conceptual and methodological approaches in health geography and related disciplines.
MCGILL complete current official course definitionKey chemical, physical, and social stressors in the environment, and how these affect the health of people and ecosystems. Hazards in air, water, food, and work environments. Historic, current, and future need for environmental health science, from scientific, personal, and practical perspectives.
MCGILL complete current official course definitionThis course presents the grand challenges in global health from environmental and occupational risks along with the multi-disciplinary methods used to identify, control, and prevent them. It will introduce students to knowledge and skills in core disciplines of environmental health and approaches to environmental risk recognition, control and prevention in a global context.
MCGILL complete current official course definitionIntroduction to the reciprocal linkages in the social world between population size, structure and dynamics on the one hand, social structure, action and change on the other. An examination of population processes and their relation to the social world.
MCGILL complete current official course definitionHealth and illness as social rather than purely bio-medical phenomena. Topics include: studies of ill persons, health care occupations and organizations; poverty and health; inequalities in access to and use of health services; recent policies, ideologies, and problems in reform of health services organization.
MCGILL complete current official course definitionMain topics and controversies linking population processes and the environment. Topics include how population processes influence the environment, population responses to changing environments, policies related to these effects, variation across and within developed and developing countries.
MCGILL complete current official course definitionMetabolism in humans and domestic animals. The chemistry of alimentary digestion, absorption, transport, intermediary metabolism and excretion.
MCGILL complete current official course definitionThis course introduces the student to our modern understanding of cells and how they work. Major topics to be covered include: photosynthesis, energy metabolism and metabolic integration; plasma membrane including secretion, endocytosis and contact mediated interactions between cells; cytoskeleton including cell and organelle movement; the nervous system; hormone signaling; the cell cycle.
MCGILL complete current official course definitionOrganization and function of intracellular organelles in eukaryotic cells. Mechanisms of membrane transport. Protein sorting and vesicular transport. Cytoskeleton. DNA and chromosome structure. DNA replication. Mechanisms of RNA and protein synthesis. Control of gene expression. Cell cycle and the control of cell division. Mechanisms of cell communication and signal transduction. Apoptosis. Neuronal signaling.
MCGILL complete current official course definitionIntroduction to basic principles, and to modern advances, problems and applications in the genetics of higher and lower organisms with examples representative of the biological sciences.
MCGILL complete current official course definitionThe course integrates classical, molecular and population genetics of animals, plants, bacteria and viruses. The aim is to understand the flow of genetic information within a cell, within families and in populations. Emphasis will be placed on problem solving based learning. The laboratory exercises will emphasize the interpretation of genetic experimental data.
MCGILL complete current official course definitionThe physical and chemical properties of the cell and its components in relation to their structure and function. Topics include: protein structure, enzymes and enzyme kinetics; nucleic acid replication, transcription and translation; the genetic code, mutation, recombination, and regulation of gene expression.
MCGILL complete current official course definitionBiochemistry of carbohydrates, lipids, proteins, nucleic acids; enzymes and coenzymes. Introduction to intermediary metabolism.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionIntroduction to fundamental aspects of animal nutrition, including gastrointestinal anatomy and physiology; nutrient digestion, absorption, and metabolism; nutrient functions and requirements of livestock species; evaluation of feedstuffs and their use in ration formulation; and feeding strategies. Laboratory classes will include hands-on experience on feed analyses, gastrointestinal tract dissections, nutritional experiments and demonstrations in livestock species as well as computer-based ration balancing exercises.
MCGILL complete current official course definitionProvides students who have a basic biology/chemistry background with the fundamental information on how macronutrients, vitamins and minerals are metabolized in the body, followed by application to evaluate current issues of maximizing health and disease prevention at different stages of the lifecycle.
MCGILL complete current official course definitionThis course looks at the importance of nutrition from the molecular to the organismal levels in human health and disease. The focus will be on the significance of nutrients in regulating metabolism, and impact of genotype in the metabolism of nutrients.
MCGILL complete current official course definitionA study of the means by which bacteria cause disease in animals and humans. Includes response of host to invading bacteria, bacterial attachment and penetration processes, and modes of actions of exotoxins and endotoxins.
MCGILL complete current official course definitionBasic immunology, organs and cells, elements of innate immunity, phagocytes, complement, elements of adaptive immunity, B-cells, T-cells, antigen presenting cells, MHC genes and molecules, antigen processing and presentation, cytokines and chemokines. Emphasis on anatomy and the molecular and cellular players working together as a physiological system to maintain human health.
MCGILL complete current official course definitionAn intermediate-level immunology course covering the cellular and molecular basis of lymphocyte development and activation in immune responses in health and disease.
MCGILL complete current official course definitionAn in-depth analysis of the principles of cellular and molecular immunology. The emphasis of the course is on host defence against infection and on diseases caused by abnormal immune responses.
MCGILL complete current official course definitionProvides a fundamental understanding of the diseases prevalent in North America, for upper level students in the biological sciences. Includes: general responses of cells and organ systems to injury; assessment of individual diseases by relating the causes, symptoms, diagnosis, treatment and prevention to the primary biological abnormalities in each disorder.
MCGILL complete current official course definitionThe basic principles of molecular biology and the underlying molecular basis for various methodologies in molecular biology are covered. The molecular genetic basis for viral infections and tumorigenesis will be covered as examples of the use of molecular genetic approaches to address biological problems.
MCGILL complete current official course definitionA study of the fundamental properties of viruses and their interactions with host cells. Bacteriophages, DNA- and RNA-containing animal viruses, and retroviruses are covered. Emphasis will be on phenomena occurring at the molecular level and on the regulated control of gene expression in virus-infected cells.
MCGILL complete current official course definitionA study of the biology, immunological aspects of host-parasite interactions, pathogenicity, epidemiology and molecular biological aspects of selected parasites of medical importance. Laboratory will consist of a lecture on techniques, demonstrations and practical work.
MCGILL complete current official course definitionSystematics, morphology, biology and ecology of parasitic protozoa, flatworms, roundworms and arthropods with emphasis on economically and medically important species.
MCGILL complete current official course definitionThis course presents concepts and methods of epidemiology at the introductory level. The use of epidemiologic methods for population and public health research and practice will be illustrated. A review of selected population health questions such as the HIV/AIDS epidemic, the cardiovascular disease epidemic, cigarette smoking, or screening for disease will be presented.
MCGILL complete current official course definitionAn introduction to the pathogenesis and control of diseases in farm animals. Immune response and other protective mechanisms. Implications of animal diseases and drug therapy for product safety and public health.
MCGILL complete current official course definitionExploring the impact of environmental chemicals on biological organisms in an ecological context. Basic topics in ecotoxicology, such as source and fate, routes of exposure, bioavailability, dose-response, biomarkers, and risk assessment will be covered from both theoretical and applied perspectives. The processes by which pollutants are tested, regulated, and monitored will be critically examined.
MCGILL complete current official course definitionAn overview of the use of herbal medicines and food phytochemicals and the benefits and risks of their consumption. The physiological basis for activity and the assessment of toxicity will be presented. Current practices relating to the regulation, commercialization and promotion of herbs and phytochemicals will be considered.
MCGILL complete current official course definitionPrinciples of pharmacology and toxicology. Frequently encountered drugs will be used as a focus to illustrate sites and mechanisms of action, distribution, metabolism, elimination and adverse side effects.
MCGILL complete current official course definitionFundamental mechanisms by which toxic compounds damage a biological system (organelle, cell, organ, organism, ecosystem). Detection and quantification of toxicity and risk/benefit analysis are considered. Selected agents of current risk to human health or the environment are evaluated in depth.
MCGILL complete current official course definitionA detailed study of the endocrine system and its role in the maintenance of homeostasis in higher vertebrates, including the endocrine regulation of energy balance.
MCGILL complete current official course definitionPhysiology of cardiovascular, respiratory, digestive, endocrine and renal systems.
MCGILL complete current official course definitionThe role of hormones in organization of CNS function, as effectors of behaviour, in expression of behaviours and in mental illness.
MCGILL complete current official course definitionA study of the organization, functions and regulation of various organ systems in mammals. The nervous, endocrine, muscular, cardiovascular, respiratory, urinary, digestive and reproductive systems are discussed.
MCGILL complete current official course definitionPhysiology of body fluids, blood, body defense mechanisms, muscle, peripheral, central, and autonomic nervous systems.
MCGILL complete current official course definitionThe climate system and ongoing global change, ocean and atmosphere circulation and future trends in the tropics; local climate variability and dynamics, extreme weather events in the Caribbean .
MCGILL complete current official course definitionIntroduction to water resources and hydrologic cycle. Precipitation and hydrologic frequency analysis. Soil water processes, infiltration theory and modeling. Evapotranspiration estimation methods and crop water requirements. Surface runoff estimation as a function of land use modifications. Estimation of peak runoff rates. Unit hydrograph. Design of open channels and vegetated waterways.
MCGILL complete current official course definitionThe earth-atmosphere system, radiation and energy balances. Surface-atmosphere exchange of energy, mass and momentum and related atmospheric processes on a local and regional scale. Introduction to measurement theory and practice in micrometeorology.
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionManagement, preservation, and utilization of forage crops in sustainable tropical environments; examination of their value as livestock feed in terms of nutritional composition and impact on animal performance; land use issues as it pertains to forage and animal production in insular environments.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionIntroduction to how diverse approaches to nutrition research including international, community, laboratory, clinical, molecular, meta-analyses are necessary to advance the field of nutrition. Emphasis on ethics, scientific method, research process and analysis of results.
MCGILL complete current official course definitionIntroduction to insect structure, physiology, biochemistry, development, systematics, evolution, ecology and control. Stress on interrelationships and integrated pest control.
MCGILL complete current official course definitionModern concepts of integrated control techniques and principles of insect pest management, with emphasis on biological control (use of predators, parasites and pathogens against pest insects), population monitoring, and manipulation of environmental, behavioral and physiological factors in the pest's way of life. Physical, cultural, and genetic controls and an introduction to the use of non-toxic biochemical controls (attractants, repellents, pheromones, antimetabolites).
MCGILL complete current official course definitionEngineering aspects of handling, storage, and treatment of organic residues in agricultural and municipal contexts. Technologies, design approaches, and management strategies for resource recovery and increasing the circularity of material and energy flows.
MCGILL complete current official course definitionConcepts and practice of ecological engineering: the planned creation or management of a community of organisms, their nonliving surroundings, and technological components to provide services. Survey of applications such as constructed wetlands, aquatic production systems, green infrastructure for urban storm water management, environmental restoration. Taught cooperatively with a parallel course at University of Nebraska-Lincoln. Online collaboration with an interdisciplinary, international team is an important component of the course.
MCGILL complete current official course definitionThe environmental contaminants which cause pollution; sources, amounts and transport of pollutants in water, air and soil; waste management.
MCGILL complete current official course definitionAnticipate, recognize, evaluate, and control water-related hazards such as: biological, chemical, and physical. Considerations for public health and environmental management.
MCGILL complete current official course definitionA comprehensive survey of the major fruit, vegetable, turf, and ornamental crops grown in Barbados. Effect of cultural practices, environment, pests and pathogens, social and touristic activities, and importation of horticultural produce on local horticulture.
MCGILL complete current official course definitionBiodiversity loss and the measure of ecological integrity of ecosystems, patterns of diversification and evolution of terrestrial and oceanic biotas in the Caribbean.
MCGILL complete current official course definitionA study of the physical, chemical and biological properties of lakes and other inland waters, with emphasis on their functioning as systems.
MCGILL complete current official course definitionDevelopment of observation and independent inquiry skills through: 1) participation in short-term project modules in collaboration with existing researchers; 2) participation in interdisciplinary team research on topics selected to allow comparative analysis of field sites; 3) active and systematic observation, documentation, and integration of field experience in ecology and development issues.
MCGILL complete current official course definitionDiscussion of relevant theoretical and applied issues in conservation biology. Topics: biodiversity, population viability analysis, community dynamics, biology of rarity, extinction, habitat fragmentation, social issues.
MCGILL complete current official course definitionCauses and consequences of biological invasion, as well as risk assessment methods and management strategies for dealing with invasive species.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionBiotic and abiotic processes that control the flows of energy, nutrients and water through ecosystems; emergent system properties; approaches to analyzing complex systems. Labs include collection and multivariate analysis of field data.
MCGILL complete current official course definitionCauses and consequences of biological invasion, as well as risk assessment methods and management strategies for dealing with invasive species.
MCGILL complete current official course definitionThe ecology of microorganisms, primarily bacteria and archaea, and their roles in biogeochemical cycles. Microbial interactions with the environment, plants, animals and other microbes emphasizing the underlying genetics and physiology. Diversity, evolution (microbial phylogenetics) and the application of molecular biology in microbial ecology.
MCGILL complete current official course definitionDevelopment of observation and independent inquiry skills through: 1) participation in short-term project modules in collaboration with existing researchers; 2) participation in interdisciplinary team research on topics selected to allow comparative analysis of field sites; 3) active and systematic observation, documentation, and integration of field experience in ecology and development issues.
MCGILL complete current official course definitionThis course describes the various groups of fungi and explores in depth their biology and physiology, their ecological niches and the role in various ecosystems and their benefits and uses in industry and biotechnology.
MCGILL complete current official course definitionTheory and practice of plant ecology with an emphasis on the interaction between patterns and ecological processes and the dynamics, conservation and management of plant populations and communities over a range of temporal and spatial scales.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Environment Major - Ecological Determinants of Health - Population (B.Sc.(Ag.Env.Sc.)) or (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
A systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionThe planning of projects and research activities related to tropical food, nutrition, or energy at the local, regional, or national scale in Barbados. Projects and activities designed in consultation with university instructors, government, NGO, or private partners, and prepared by teams of 2-3 students working cooperatively with these mentors.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionInfectious pathogens of humans and animals and their impact on the global environment are considered. The central tenet is that infectious pathogens are environmental risk factors. The course considers their impact on the human condition and juxtaposes the impact of control and treatment measures and environmental change.
MCGILL complete current official course definitionKey chemical, physical, and social stressors in the environment, and how these affect the health of people and ecosystems. Hazards in air, water, food, and work environments. Historic, current, and future need for environmental health science, from scientific, personal, and practical perspectives.
MCGILL complete current official course definitionDiscussion of the research questions and methods of health geography. Particular emphasis on health inequalities at multiple geographic scales and the theoretical links between characteristics of places and the health of people.
MCGILL complete current official course definitionKey chemical, physical, and social stressors in the environment, and how these affect the health of people and ecosystems. Hazards in air, water, food, and work environments. Historic, current, and future need for environmental health science, from scientific, personal, and practical perspectives.
MCGILL complete current official course definitionMajor themes and contemporary case studies in global health and environmental change. Focus on understanding global trends in emerging infectious disease from social, biophysical, and geographical perspectives, and critically assessing the health implications of environmental change in different international contexts.
MCGILL complete current official course definitionA critical review of current themes and trends in health geography, with an emphasis on housing as a place-based determinant of health and as a setting for intervention, i.e. how changes in housing conditions can translate into improvements in health and well-being. Seminars focus on critical appraisal of conceptual and methodological approaches in health geography and related disciplines.
MCGILL complete current official course definitionThis course presents the grand challenges in global health from environmental and occupational risks along with the multi-disciplinary methods used to identify, control, and prevent them. It will introduce students to knowledge and skills in core disciplines of environmental health and approaches to environmental risk recognition, control and prevention in a global context.
MCGILL complete current official course definitionIntroduction to the reciprocal linkages in the social world between population size, structure and dynamics on the one hand, social structure, action and change on the other. An examination of population processes and their relation to the social world.
MCGILL complete current official course definitionHealth and illness as social rather than purely bio-medical phenomena. Topics include: studies of ill persons, health care occupations and organizations; poverty and health; inequalities in access to and use of health services; recent policies, ideologies, and problems in reform of health services organization.
MCGILL complete current official course definitionMain topics and controversies linking population processes and the environment. Topics include how population processes influence the environment, population responses to changing environments, policies related to these effects, variation across and within developed and developing countries.
MCGILL complete current official course definitionAn introduction to the pathogenesis and control of diseases in farm animals. Immune response and other protective mechanisms. Implications of animal diseases and drug therapy for product safety and public health.
MCGILL complete current official course definitionExploring the impact of environmental chemicals on biological organisms in an ecological context. Basic topics in ecotoxicology, such as source and fate, routes of exposure, bioavailability, dose-response, biomarkers, and risk assessment will be covered from both theoretical and applied perspectives. The processes by which pollutants are tested, regulated, and monitored will be critically examined.
MCGILL complete current official course definitionAn overview of the use of herbal medicines and food phytochemicals and the benefits and risks of their consumption. The physiological basis for activity and the assessment of toxicity will be presented. Current practices relating to the regulation, commercialization and promotion of herbs and phytochemicals will be considered.
MCGILL complete current official course definitionFundamental mechanisms by which toxic compounds damage a biological system (organelle, cell, organ, organism, ecosystem). Detection and quantification of toxicity and risk/benefit analysis are considered. Selected agents of current risk to human health or the environment are evaluated in depth.
MCGILL complete current official course definitionMetabolism in humans and domestic animals. The chemistry of alimentary digestion, absorption, transport, intermediary metabolism and excretion.
MCGILL complete current official course definitionThis course introduces the student to our modern understanding of cells and how they work. Major topics to be covered include: photosynthesis, energy metabolism and metabolic integration; plasma membrane including secretion, endocytosis and contact mediated interactions between cells; cytoskeleton including cell and organelle movement; the nervous system; hormone signaling; the cell cycle.
MCGILL complete current official course definitionOrganization and function of intracellular organelles in eukaryotic cells. Mechanisms of membrane transport. Protein sorting and vesicular transport. Cytoskeleton. DNA and chromosome structure. DNA replication. Mechanisms of RNA and protein synthesis. Control of gene expression. Cell cycle and the control of cell division. Mechanisms of cell communication and signal transduction. Apoptosis. Neuronal signaling.
MCGILL complete current official course definitionThe physical and chemical properties of the cell and its components in relation to their structure and function. Topics include: protein structure, enzymes and enzyme kinetics; nucleic acid replication, transcription and translation; the genetic code, mutation, recombination, and regulation of gene expression.
MCGILL complete current official course definitionBiochemistry of carbohydrates, lipids, proteins, nucleic acids; enzymes and coenzymes. Introduction to intermediary metabolism.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionIntroduction to fundamental aspects of animal nutrition, including gastrointestinal anatomy and physiology; nutrient digestion, absorption, and metabolism; nutrient functions and requirements of livestock species; evaluation of feedstuffs and their use in ration formulation; and feeding strategies. Laboratory classes will include hands-on experience on feed analyses, gastrointestinal tract dissections, nutritional experiments and demonstrations in livestock species as well as computer-based ration balancing exercises.
MCGILL complete current official course definitionProvides students who have a basic biology/chemistry background with the fundamental information on how macronutrients, vitamins and minerals are metabolized in the body, followed by application to evaluate current issues of maximizing health and disease prevention at different stages of the lifecycle.
MCGILL complete current official course definitionThis course looks at the importance of nutrition from the molecular to the organismal levels in human health and disease. The focus will be on the significance of nutrients in regulating metabolism, and impact of genotype in the metabolism of nutrients.
MCGILL complete current official course definitionA comprehensive survey of the major fruit, vegetable, turf, and ornamental crops grown in Barbados. Effect of cultural practices, environment, pests and pathogens, social and touristic activities, and importation of horticultural produce on local horticulture.
MCGILL complete current official course definitionDevelopment of observation and independent inquiry skills through: 1) participation in short-term project modules in collaboration with existing researchers; 2) participation in interdisciplinary team research on topics selected to allow comparative analysis of field sites; 3) active and systematic observation, documentation, and integration of field experience in ecology and development issues.
MCGILL complete current official course definitionDiscussion of relevant theoretical and applied issues in conservation biology. Topics: biodiversity, population viability analysis, community dynamics, biology of rarity, extinction, habitat fragmentation, social issues.
MCGILL complete current official course definitionCauses and consequences of biological invasion, as well as risk assessment methods and management strategies for dealing with invasive species.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionBiotic and abiotic processes that control the flows of energy, nutrients and water through ecosystems; emergent system properties; approaches to analyzing complex systems. Labs include collection and multivariate analysis of field data.
MCGILL complete current official course definitionCauses and consequences of biological invasion, as well as risk assessment methods and management strategies for dealing with invasive species.
MCGILL complete current official course definitionThe ecology of microorganisms, primarily bacteria and archaea, and their roles in biogeochemical cycles. Microbial interactions with the environment, plants, animals and other microbes emphasizing the underlying genetics and physiology. Diversity, evolution (microbial phylogenetics) and the application of molecular biology in microbial ecology.
MCGILL complete current official course definitionDevelopment of observation and independent inquiry skills through: 1) participation in short-term project modules in collaboration with existing researchers; 2) participation in interdisciplinary team research on topics selected to allow comparative analysis of field sites; 3) active and systematic observation, documentation, and integration of field experience in ecology and development issues.
MCGILL complete current official course definitionTheory and practice of plant ecology with an emphasis on the interaction between patterns and ecological processes and the dynamics, conservation and management of plant populations and communities over a range of temporal and spatial scales.
MCGILL complete current official course definitionFocus on low-input, sustainable, and organic agriculture: the farm as an ecosystem; complex system theory; practical examples of soil management, pest control, integrated crop and livestock production, and marketing systems.
MCGILL complete current official course definitionContrast theory and practice in defining agricultural environmental "challenges" in the Neotropics. Indigenous and appropriate technological means of mitigation. Soil management and erosion, water scarcity, water over-abundance, and water quality. Explore agro-ecosystem protection via field trips and project designs. Institutional context of conservation strategies, NGO links, and public participation.
MCGILL complete current official course definitionThe climate system and ongoing global change, ocean and atmosphere circulation and future trends in the tropics; local climate variability and dynamics, extreme weather events in the Caribbean .
MCGILL complete current official course definitionIntroduction to water resources and hydrologic cycle. Precipitation and hydrologic frequency analysis. Soil water processes, infiltration theory and modeling. Evapotranspiration estimation methods and crop water requirements. Surface runoff estimation as a function of land use modifications. Estimation of peak runoff rates. Unit hydrograph. Design of open channels and vegetated waterways.
MCGILL complete current official course definitionThe earth-atmosphere system, radiation and energy balances. Surface-atmosphere exchange of energy, mass and momentum and related atmospheric processes on a local and regional scale. Introduction to measurement theory and practice in micrometeorology.
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionManagement, preservation, and utilization of forage crops in sustainable tropical environments; examination of their value as livestock feed in terms of nutritional composition and impact on animal performance; land use issues as it pertains to forage and animal production in insular environments.
MCGILL complete current official course definitionThe field of economics as it relates to the activities of individual consumers, firms and organizations. Emphasis is on the application of economic principles and concepts to everyday decision making and to the analysis of current economic issues.
MCGILL complete current official course definitionThe role of resources in the environment, use of resources, and management of economic resources within the firm or organization. Problem-solving, case studies involving private and public decision-making in organizations are utilized.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionA university-level introduction to demand and supply, consumer behaviour, production theory, market structures and income distribution theory.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionAn introduction to Geographic Information Systems. The systematic management of spatial data. The use and construction of maps. The use of microcomputers and software for mapping and statistical work. Air photo and topographic map analyses.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionPractical application of environmental planning, analysis and management techniques with reference to the needs and problems of developing areas. Special challenges posed by cultural differences and traditional resource systems are discussed. This course involves practical field work in a developing area (Kenya or Panama).
MCGILL complete current official course definitionAn investigation of ethical issues as they arise in the practice of medicine (informed consent, e.g.) or in the application of medical technology (in vitro fertilization, euthanasia, e.g.)
MCGILL complete current official course definitionProcesses of developmental change, as they affect small communities in the Third World and in unindustrialized parts of developed countries. Problems of technological change, political integration, population growth, industrialization, urban growth, social services, infrastructure and economic dependency.
MCGILL complete current official course definitionFactors influencing patterns of stability and change in major social institutions and the implications for formal and non-formal education.
MCGILL complete current official course definitionSketch of the history of the material aspects of human interaction with the rest of nature. Included will be a historian's view of the social, technical, and ecological implications of the great variety of activities devised by our species. Though global in outlook, this course will emphasize the relevant historiography of France, England and North America.
MCGILL complete current official course definitionCurrent nutrition-related issues in the Majority World, emphasizing young children and other vulnerable groups. The integration of a life science and social science perspective. The multiple causes, consequences, policies, and interventions related to current nutrition.
MCGILL complete current official course definitionCompeting theories about the causes of underdevelopment in the poor countries. Topics include the impact of geography, the population explosion, culture and national character, economic and sexual inequalities, democracy and dictatorship. Western imperialism and multi-national corporations, reliance on the market, and development through local participation, cooperation, and appropriate technology.
MCGILL complete current official course definitionThe basic principles of molecular biology and the underlying molecular basis for various methodologies in molecular biology are covered. The molecular genetic basis for viral infections and tumorigenesis will be covered as examples of the use of molecular genetic approaches to address biological problems.
MCGILL complete current official course definitionBasic immunology, organs and cells, elements of innate immunity, phagocytes, complement, elements of adaptive immunity, B-cells, T-cells, antigen presenting cells, MHC genes and molecules, antigen processing and presentation, cytokines and chemokines. Emphasis on anatomy and the molecular and cellular players working together as a physiological system to maintain human health.
MCGILL complete current official course definitionAn intermediate-level immunology course covering the cellular and molecular basis of lymphocyte development and activation in immune responses in health and disease.
MCGILL complete current official course definitionA study of the fundamental properties of viruses and their interactions with host cells. Bacteriophages, DNA- and RNA-containing animal viruses, and retroviruses are covered. Emphasis will be on phenomena occurring at the molecular level and on the regulated control of gene expression in virus-infected cells.
MCGILL complete current official course definitionA study of the biology, immunological aspects of host-parasite interactions, pathogenicity, epidemiology and molecular biological aspects of selected parasites of medical importance. Laboratory will consist of a lecture on techniques, demonstrations and practical work.
MCGILL complete current official course definitionSystematics, morphology, biology and ecology of parasitic protozoa, flatworms, roundworms and arthropods with emphasis on economically and medically important species.
MCGILL complete current official course definitionAn in-depth analysis of the principles of cellular and molecular immunology. The emphasis of the course is on host defence against infection and on diseases caused by abnormal immune responses.
MCGILL complete current official course definitionThis course presents concepts and methods of epidemiology at the introductory level. The use of epidemiologic methods for population and public health research and practice will be illustrated. A review of selected population health questions such as the HIV/AIDS epidemic, the cardiovascular disease epidemic, cigarette smoking, or screening for disease will be presented.
MCGILL complete current official course definitionInternational development and world food security and challenges in developing countries. Soil and water management, climate change, demographic issues, plant and animal resources conservation, bio-products and biofuels, economic and environmental issues specially in tropical and sub-tropical regions. Globalization, sustainable development, technology transfer and human resources needs for rural development.
MCGILL complete current official course definitionInstruction focuses on three goals: 1) existing research in selected core thematic areas, 2) participating in interdisciplinary team research, 3) developing powers of observation and independent inquiry. Students will be expected to develop research activities and interdisciplinary perspectives, and to become conversant with advances in local research in their field.
MCGILL complete current official course definitionThis course will focus on the role of place and history in the cities in which we live and in our understanding of sustainability. Each year, students will work to develop a historical reconstruction of the natural environment of Montreal and of its links to the cultural landscape, building on the work of previous cohorts of students.
MCGILL complete current official course definitionThe course will examine research approaches in human ecology since its inception early in this century. Emphasis will be placed on the theoretical shifts that have led to its emergence as an important social science perspective. The course will also involve case studies to evaluate the methodological utility of the approach.
MCGILL complete current official course definitionThree intersecting components: 1) core development themes including culture change, environmental conservation, water, health, development (urban and rural), governance and conflict resolution, 2) research techniques for topics related to core themes, including ethics, risk, field methods and data analysis, 3) field documentation, scientific recording and communication.
MCGILL complete current official course definitionFocus on understanding of inter-relations between humans and neotropical environments represented in Panama. Study of contemporary rural landscapes, their origins, development and change. Impacts of economic growth and inequality, social organization, and politics on natural resource use and environmental degradation. Site visits and field exercises in peasant/colonist, Amerindian, and plantation communities.
MCGILL complete current official course definitionFood insecurity is one of the most critical issues humanity has faced in history. The magnitude of this phenomenon, reflected in its worldwide presence and in the number of individuals affected, makes it an imperative component of all nations' and of all internaltional agencies' agendas. Its complexity of determinants and its numerous consequences require the involvement of multipe disciplines and sectors. McGill undergraduate students as future professionals tackling global issues require an integrated and multidisciplinary training on food security.
MCGILL complete current official course definitionIntroduction to insect structure, physiology, biochemistry, development, systematics, evolution, ecology and control. Stress on interrelationships and integrated pest control.
MCGILL complete current official course definitionEngineering aspects of handling, storage, and treatment of organic residues in agricultural and municipal contexts. Technologies, design approaches, and management strategies for resource recovery and increasing the circularity of material and energy flows.
MCGILL complete current official course definitionModern concepts of integrated control techniques and principles of insect pest management, with emphasis on biological control (use of predators, parasites and pathogens against pest insects), population monitoring, and manipulation of environmental, behavioral and physiological factors in the pest's way of life. Physical, cultural, and genetic controls and an introduction to the use of non-toxic biochemical controls (attractants, repellents, pheromones, antimetabolites).
MCGILL complete current official course definitionThe environmental contaminants which cause pollution; sources, amounts and transport of pollutants in water, air and soil; waste management.
MCGILL complete current official course definitionAnticipate, recognize, evaluate, and control water-related hazards such as: biological, chemical, and physical. Considerations for public health and environmental management.
MCGILL complete current official course definitionIntroduction to basic principles, and to modern advances, problems and applications in the genetics of higher and lower organisms with examples representative of the biological sciences.
MCGILL complete current official course definitionThe course integrates classical, molecular and population genetics of animals, plants, bacteria and viruses. The aim is to understand the flow of genetic information within a cell, within families and in populations. Emphasis will be placed on problem solving based learning. The laboratory exercises will emphasize the interpretation of genetic experimental data.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Environment Major - Environmetrics (B.Sc.(Ag.Env.Sc.)) or (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
A systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionSummer stage of at least four weeks, including a report. Provides students with professional experience in statistical analyses of environmental data. Can be undertaken at federal or provincial research stations and university research laboratories.
MCGILL complete current official course definitionTemporal statistics: analysis in the time domain, Box-Jenkins forecasting methodology, analysis in the frequency domain, periodogram analysis. Spatial statistics: mapping, autocorrelogram analysis, geostatistics. Statistical inference with autocorrelated sample data.
MCGILL complete current official course definitionPrinciples of population, community, and ecosystem dynamics: population growth and regulation, species interactions, dynamics of competitive interactions and of predator/prey systems; evolutionary dynamics.
MCGILL complete current official course definitionInteractions between organisms and their environment; historical and current perspectives in applied and theoretical population and community ecology. Principles of population dynamics, feedback loops, and population regulation. Development and structure of communities; competition, predation and food web dynamics. Biodiversity science in theory and practice.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionCritical examination of the socio-economic costs and benefits of technology, case studies of old engineering works and new technologies. The integration of applied ethics and engineering practice, analysis of basic concepts of technology assessment, the inter-connected processes of risk assessment, management, and communication.
MCGILL complete current official course definitionApplication of finite difference and differential equations to problems in cell and developmental biology, ecology and physiology. Qualitative, quantitative and graphical techniques are used to analyze mathematical models and to compare theoretical predictions with experimental data.
MCGILL complete current official course definitionIntroduction to a broad range of innovative data analysis strategies commonly applied to ecological data. How to apply these strategies. Common “best practices” for data management, study design, and graphing techniques.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionAn introduction to Geographic Information Systems. The systematic management of spatial data. The use and construction of maps. The use of microcomputers and software for mapping and statistical work. Air photo and topographic map analyses.
MCGILL complete current official course definitionIntroduction to water resources and hydrologic cycle. Precipitation and hydrologic frequency analysis. Soil water processes, infiltration theory and modeling. Evapotranspiration estimation methods and crop water requirements. Surface runoff estimation as a function of land use modifications. Estimation of peak runoff rates. Unit hydrograph. Design of open channels and vegetated waterways.
MCGILL complete current official course definitionPrecipitation, evaporation and transpiration. Streamflow, storage reservoirs, flood routing. Groundwater hydrology. Ecohydrology. Statistical analysis in hydrology, stochastic modelling. Simulations using hydrologic models. Case studies in flood damage mitigation, surface and ground water management, and water-energy-food nexus.
MCGILL complete current official course definitionWith reference to the ecosystems in the St Lawrence lowlands, the principles and processes governing climate-landform-water-soil-vegetation systems and their interactions will be examined in lecture and laboratory. Emphasis on the natural environment as an integrated system.
MCGILL complete current official course definitionDiscussion of the major properties of soils; soil formation, classification and mapping; land capability assessment; the role and response of soils in natural and disturbed environments (e.g. global change, ecosystem disturbance).
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionThe study of the patterns of distribution of organisms in space and time with emphasis on plant communities. Ecological, geographical, historical and anthropological factors affecting these distribution patterns will be discussed. Particular consideration is given to methods for description and classification of plant communities.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionSampling distributions, including Normal, Chi-squared, Student’s t, and F distributions. Sampling properties of the sample mean and variance. Point estimation: bias, variance, mean squared error, consistency, sufficiency, UMVUE. Method of moments and maximum likelihood estimation. One- and two-sample inference. Confidence intervals and sample size determination. Hypothesis testing, Type 1 and Type 2 errors, power, and p-values. The Neyman Pearson framework and likelihood ratio tests. Linear models used as illustrative examples, linking them to topics in estimation and hypothesis testing. One-way analysis of variance (ANOVA) and contingency tables.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionElementary statistical methods in biology. Introduction to the analysis of biological data with emphasis on the assumptions behind statistical tests and models. Use of statistical techniques typically available on computer packages.
MCGILL complete current official course definitionGeneral principles of experimental design, split-plot designs, spatial heterogeneity and experimental design, incomplete block designs and unbalanced designs, analysis of repeated measures, multivariate and modified univariate analyses of variance, central composite designs.
MCGILL complete current official course definitionApplication of statistical principles to design of measurement systems and sampling programs. Introduction to experimental design. Graphical data analysis. Description of uncertainty. Hypothesis tests. Model parameter estimation methods: linear and nonlinear regression methods. Trend analysis. Statistical analysis of censored data. Statistics of extremes.
MCGILL complete current official course definitionMultiple regression and correlation, logit models, discrete choice models, gravity models, facility location algorithms, survey design, population projection.
MCGILL complete current official course definitionThis course blends theory and applications in regression analysis. It focuses on fitting a straight line regression using matrix algebra, extending models for multivariate analysis and discusses problems in the use of regression analysis, providing criteria for model building and selection, and using statistical software to apply statistics efficiently.
MCGILL complete current official course definitionA disciplined general approach to the solution of engineering problems, and the implementation of these solutions using structured programming methods in a current computational environment.
MCGILL complete current official course definitionAdvanced topics in engineering mathematics, including systems of ordinary differential equations, stability analysis, special functions, orthogonal functions and Fourier series, boundary value problems in various coordinate systems, and integral transforms. The use of computer-based mathematical tools is an integral part of the course.
MCGILL complete current official course definitionConceptual and simulation models of key case studies for developing system thinking, including system stability, threshold dynamics in regime shifts, resilience, and adaptive environmental management.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionLinear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
MCGILL complete current official course definitionMultiple regression estimators and their properties. Hypothesis tests and confidence intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data.
MCGILL complete current official course definitionConditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
MCGILL complete current official course definitionSimple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.
MCGILL complete current official course definitionAn introduction to basic regression techniques commonly used in the social sciences. Covers the least squares linear regression model in depth and may introduce models for discrete dependent variables as well as the maximum-likelihood approach to statistical inference. Emphasis on the assumptions behind regression models and correct interpretation of results. Assignments will emphasize practical aspects of quantitative analysis.
MCGILL complete current official course definitionAsking researchable sociological questions and evaluation of different research designs used to answer such questions. Development of cogent research proposals, including data collection procedures. Principles, dynamics, strengths and practical limitations of research designs. Examples from recent publications.
MCGILL complete current official course definitionContrast theory and practice in defining agricultural environmental "challenges" in the Neotropics. Indigenous and appropriate technological means of mitigation. Soil management and erosion, water scarcity, water over-abundance, and water quality. Explore agro-ecosystem protection via field trips and project designs. Institutional context of conservation strategies, NGO links, and public participation.
MCGILL complete current official course definitionThe climate system and ongoing global change, ocean and atmosphere circulation and future trends in the tropics; local climate variability and dynamics, extreme weather events in the Caribbean .
MCGILL complete current official course definitionMethods of sampling natural populations. Testing hypotheses in nature.
MCGILL complete current official course definitionBiodiversity loss and the measure of ecological integrity of ecosystems, patterns of diversification and evolution of terrestrial and oceanic biotas in the Caribbean.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionTopics in the interface of evolution, phylogenetics, and biogeography, including tree thinking, phylogeny estimation, and the processes that generate and maintain biodiversity. The major scientific discoveries that demonstrated how Earth’s history affects the evolution of organisms, including the unheard voices of evolutionary biology.
MCGILL complete current official course definitionExploring the impact of environmental chemicals on biological organisms in an ecological context. Basic topics in ecotoxicology, such as source and fate, routes of exposure, bioavailability, dose-response, biomarkers, and risk assessment will be covered from both theoretical and applied perspectives. The processes by which pollutants are tested, regulated, and monitored will be critically examined.
MCGILL complete current official course definitionThis course will focus on the role of place and history in the cities in which we live and in our understanding of sustainability. Each year, students will work to develop a historical reconstruction of the natural environment of Montreal and of its links to the cultural landscape, building on the work of previous cohorts of students.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionThe course will examine research approaches in human ecology since its inception early in this century. Emphasis will be placed on the theoretical shifts that have led to its emergence as an important social science perspective. The course will also involve case studies to evaluate the methodological utility of the approach.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionPractical application of environmental planning, analysis and management techniques with reference to the needs and problems of developing areas. Special challenges posed by cultural differences and traditional resource systems are discussed. This course involves practical field work in a developing area (Kenya or Panama).
MCGILL complete current official course definitionGeographical research in urban public and semi-public spaces. Demonstration of techniques of mapping, sampling, measurement, photography, interviewing. Attention to research design.
MCGILL complete current official course definitionThe environmental contaminants which cause pollution; sources, amounts and transport of pollutants in water, air and soil; waste management.
MCGILL complete current official course definitionTheory and practice of plant ecology with an emphasis on the interaction between patterns and ecological processes and the dynamics, conservation and management of plant populations and communities over a range of temporal and spatial scales.
MCGILL complete current official course definitionPrinciples of fisheries and wildlife management are considered and current practices of research and management are discussed.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Environment Major - Food Production and Environment (B.Sc.(Ag.Env.Sc.)) or (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
The cell: ultrastructure, division, chemical constituents and reactions. Bioenergetics: photosynthesis and respiration. Principles of genetics, the molecular basis of inheritance and biotechnology.
MCGILL complete current official course definitionBiochemistry of carbohydrates, lipids, proteins, nucleic acids; enzymes and coenzymes. Introduction to intermediary metabolism.
MCGILL complete current official course definitionA fundamental study of aliphatic compounds and saturated functional groups including modern concepts of bonding, reaction mechanisms, conformational analysis, spectroscopy, and stereochemistry.
MCGILL complete current official course definitionAtomic and molecular structure, modern concepts of bonding, overview of functional groups, conformational analysis, stereochemistry, mechanisms and reactions of aliphatic compounds.
MCGILL complete current official course definitionA systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionThe planning of projects and research activities related to tropical food, nutrition, or energy at the local, regional, or national scale in Barbados. Projects and activities designed in consultation with university instructors, government, NGO, or private partners, and prepared by teams of 2-3 students working cooperatively with these mentors.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionThe biology of plants and plant-based systems in managed and natural terrestrial environments. The interactions between autotrophs and soil organisms and selected groups of animals with close ecological and evolutionary connections with plants (e.g., herbivores and pollinators) will be explored in lecture and laboratory.
MCGILL complete current official course definitionFocus on low-input, sustainable, and organic agriculture: the farm as an ecosystem; complex system theory; practical examples of soil management, pest control, integrated crop and livestock production, and marketing systems.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionIntroduction to the scientific principles underlying animal livestock production as it relates to the consumer food chain. The world- wide demand for animal products, various areas of management (reproduction, nutrition, breeding, health, and welfare) that are used to provide those products by examining both conventional means as well as new and evolving technologies. How these techniques relate to some of the major production systems (dairy, beef, pig, and broiler and egg production) – primarily in a Provincial/Canadian context.
MCGILL complete current official course definitionApplication of plant science and soil science to production of agronomic and horticultural crops. Use and sustainability of fertilization, weed control, crop rotation, tillage, drainage and irrigation practices.
MCGILL complete current official course definitionIntroduction to basic principles, and to modern advances, problems and applications in the genetics of higher and lower organisms with examples representative of the biological sciences.
MCGILL complete current official course definitionThe course integrates classical, molecular and population genetics of animals, plants, bacteria and viruses. The aim is to understand the flow of genetic information within a cell, within families and in populations. Emphasis will be placed on problem solving based learning. The laboratory exercises will emphasize the interpretation of genetic experimental data.
MCGILL complete current official course definitionWith reference to the ecosystems in the St Lawrence lowlands, the principles and processes governing climate-landform-water-soil-vegetation systems and their interactions will be examined in lecture and laboratory. Emphasis on the natural environment as an integrated system.
MCGILL complete current official course definitionDiscussion of the major properties of soils; soil formation, classification and mapping; land capability assessment; the role and response of soils in natural and disturbed environments (e.g. global change, ecosystem disturbance).
MCGILL complete current official course definitionPrinciples of population, community, and ecosystem dynamics: population growth and regulation, species interactions, dynamics of competitive interactions and of predator/prey systems; evolutionary dynamics.
MCGILL complete current official course definitionInteractions between organisms and their environment; historical and current perspectives in applied and theoretical population and community ecology. Principles of population dynamics, feedback loops, and population regulation. Development and structure of communities; competition, predation and food web dynamics. Biodiversity science in theory and practice.
MCGILL complete current official course definitionThe field of economics as it relates to the activities of individual consumers, firms and organizations. Emphasis is on the application of economic principles and concepts to everyday decision making and to the analysis of current economic issues.
MCGILL complete current official course definitionA university-level introduction to demand and supply, consumer behaviour, production theory, market structures and income distribution theory.
MCGILL complete current official course definitionInternational development and world food security and challenges in developing countries. Soil and water management, climate change, demographic issues, plant and animal resources conservation, bio-products and biofuels, economic and environmental issues specially in tropical and sub-tropical regions. Globalization, sustainable development, technology transfer and human resources needs for rural development.
MCGILL complete current official course definitionThis course enables one to gain an appreciation of the scope of food science as a discipline. Topics include introductions to chemistry, processing, packaging, analysis, microbiology, product development, sensory evaluation and quality control as they relate to food science.
MCGILL complete current official course definitionThe ecology of microorganisms, primarily bacteria and archaea, and their roles in biogeochemical cycles. Microbial interactions with the environment, plants, animals and other microbes emphasizing the underlying genetics and physiology. Diversity, evolution (microbial phylogenetics) and the application of molecular biology in microbial ecology.
MCGILL complete current official course definitionProvides students who have a basic biology/chemistry background with the fundamental information on how macronutrients, vitamins and minerals are metabolized in the body, followed by application to evaluate current issues of maximizing health and disease prevention at different stages of the lifecycle.
MCGILL complete current official course definitionCurrent nutrition-related issues in the Majority World, emphasizing young children and other vulnerable groups. The integration of a life science and social science perspective. The multiple causes, consequences, policies, and interventions related to current nutrition.
MCGILL complete current official course definitionThis course focuses on the nutrition status of populations, communities and groups of people using a public health lens. It identifies and assesses human nutrition issues and problems, their causes, influencing factors and social conditions using a social determinants of health framework. Offers opportunities to design and conduct needs assessments, design and plan programs and plan for their evaluation. The purpose and role of participatory approaches with diverse populations and Indigenous populations in particular will be analyzed. Health systems, public health and political influence in Canada, as related to nutrition will be addressed.
MCGILL complete current official course definitionInfectious pathogens of humans and animals and their impact on the global environment are considered. The central tenet is that infectious pathogens are environmental risk factors. The course considers their impact on the human condition and juxtaposes the impact of control and treatment measures and environmental change.
MCGILL complete current official course definitionFundamental mechanisms by which toxic compounds damage a biological system (organelle, cell, organ, organism, ecosystem). Detection and quantification of toxicity and risk/benefit analysis are considered. Selected agents of current risk to human health or the environment are evaluated in depth.
MCGILL complete current official course definitionA comprehensive survey of the major fruit, vegetable, turf, and ornamental crops grown in Barbados. Effect of cultural practices, environment, pests and pathogens, social and touristic activities, and importation of horticultural produce on local horticulture.
MCGILL complete current official course definitionTropical biofuel crops, conversion processes and final products, particularly energy and greenhouse gas balances and bionutraceuticals. Topics include effects of process extraction during refining on biofuel economics, the food versus fuel debate and impact of biofuels and bioproducts on tropical agricultural economics.
MCGILL complete current official course definitionThrough case studies and field trips, students will examine the problems and constraints within the Canadian agro-ecosystem, including the interrelationships among food production, the environment, agricultural policy and social issues. Research in this field of study will also be introduced.
MCGILL complete current official course definitionExposure to a foreign rural and agricultural context, to observe a variety of types of farm operations, cropping systems and techniques. The sustainability of these is discussed within their local social, environmental and economic landscapes.
MCGILL complete current official course definitionContrast theory and practice in defining agricultural environmental "challenges" in the Neotropics. Indigenous and appropriate technological means of mitigation. Soil management and erosion, water scarcity, water over-abundance, and water quality. Explore agro-ecosystem protection via field trips and project designs. Institutional context of conservation strategies, NGO links, and public participation.
MCGILL complete current official course definitionModern concepts of integrated control techniques and principles of insect pest management, with emphasis on biological control (use of predators, parasites and pathogens against pest insects), population monitoring, and manipulation of environmental, behavioral and physiological factors in the pest's way of life. Physical, cultural, and genetic controls and an introduction to the use of non-toxic biochemical controls (attractants, repellents, pheromones, antimetabolites).
MCGILL complete current official course definitionEcology, management, and physiology of forage crops with emphasis on establishment, growth, maintenance, harvesting, and preservation; value as livestock feed in terms of nutritional composition and role in environmental conservation.
MCGILL complete current official course definitionApplication of ecological concepts and principles to the design and management of selected vegetable and fruit agroecosystems. Includes selection of varieties and management from seedling to harvest to storage.
MCGILL complete current official course definitionThe general anatomy and physiology of vascular plants with emphasis on how physiological processes influence function.
MCGILL complete current official course definitionPesticide science concentrating on pesticide discovery, pesticide chemistries, pesticide development, pesticide technologies, mitigation of risks due to pesticides use, national and international pesticide regulations, registrations, and compliances.
MCGILL complete current official course definitionA study of the biology of undesirable vegetation as related to the principles of prevention and physical, biological, managerial and chemical control. Emphasis on the environmental impact of the different methods of weed control.
MCGILL complete current official course definitionPlant nutrients in the soil, influence of soil properties on nutrient absorption and plant growth, use of organic and inorganic fertilizers.
MCGILL complete current official course definitionBiodiversity loss and the measure of ecological integrity of ecosystems, patterns of diversification and evolution of terrestrial and oceanic biotas in the Caribbean.
MCGILL complete current official course definitionDiscussion of relevant theoretical and applied issues in conservation biology. Topics: biodiversity, population viability analysis, community dynamics, biology of rarity, extinction, habitat fragmentation, social issues.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionIntroduction to water resources and hydrologic cycle. Precipitation and hydrologic frequency analysis. Soil water processes, infiltration theory and modeling. Evapotranspiration estimation methods and crop water requirements. Surface runoff estimation as a function of land use modifications. Estimation of peak runoff rates. Unit hydrograph. Design of open channels and vegetated waterways.
MCGILL complete current official course definitionEngineering aspects of handling, storage, and treatment of organic residues in agricultural and municipal contexts. Technologies, design approaches, and management strategies for resource recovery and increasing the circularity of material and energy flows.
MCGILL complete current official course definitionConcepts and practice of ecological engineering: the planned creation or management of a community of organisms, their nonliving surroundings, and technological components to provide services. Survey of applications such as constructed wetlands, aquatic production systems, green infrastructure for urban storm water management, environmental restoration. Taught cooperatively with a parallel course at University of Nebraska-Lincoln. Online collaboration with an interdisciplinary, international team is an important component of the course.
MCGILL complete current official course definitionExploring the impact of environmental chemicals on biological organisms in an ecological context. Basic topics in ecotoxicology, such as source and fate, routes of exposure, bioavailability, dose-response, biomarkers, and risk assessment will be covered from both theoretical and applied perspectives. The processes by which pollutants are tested, regulated, and monitored will be critically examined.
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionThe environmental contaminants which cause pollution; sources, amounts and transport of pollutants in water, air and soil; waste management.
MCGILL complete current official course definitionPrinciples of fisheries and wildlife management are considered and current practices of research and management are discussed.
MCGILL complete current official course definitionStudy of current controversial issues focusing on wildlife conservation. Topics include: animal rights, exotic species, ecotourism, urban wildlife, multi-use of national parks, harvesting of wildlife, biological controls, and endangered species.
MCGILL complete current official course definitionAn intermediate theory course in agricultural economics, dealing with economic concepts as applied to agricultural production and cost functions. Includes theory and application of linear programming as related to production decisions.
MCGILL complete current official course definitionThe role of resources in the environment, use of resources, and management of economic resources within the firm or organization. Problem-solving, case studies involving private and public decision-making in organizations are utilized.
MCGILL complete current official course definitionExamination of North American and international agriculture, food and resource policies, policy instruments, programs and their implications. Economic analysis applied to the principles, procedures and objectives of various policy actions affecting agriculture, and the environment.
MCGILL complete current official course definitionThe course deals with economic aspects of international development with emphasis on the role of food, agriculture and the resource sector in the economy of developing countries. Topics will include world food analysis, development project analysis and policies for sustainable development. Development case studies will be used.
MCGILL complete current official course definitionA study of the application of economic theory to questions of environmental policy. Particular attention will be given to the measurement and regulation of pollution, congestion and waste and other environmental aspects of specific economies.
MCGILL complete current official course definitionTopics include: Malthusian and Ricardian Scarcity; optimal depletion of renewable and non-renewable resources; exploration, risk and industry structure, and current resources, rent and taxation. Current public policies applied to the resource industries, particularly those of a regulatory nature.
MCGILL complete current official course definitionThis course will focus on the role of place and history in the cities in which we live and in our understanding of sustainability. Each year, students will work to develop a historical reconstruction of the natural environment of Montreal and of its links to the cultural landscape, building on the work of previous cohorts of students.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionFocus on understanding of inter-relations between humans and neotropical environments represented in Panama. Study of contemporary rural landscapes, their origins, development and change. Impacts of economic growth and inequality, social organization, and politics on natural resource use and environmental degradation. Site visits and field exercises in peasant/colonist, Amerindian, and plantation communities.
MCGILL complete current official course definitionFocus on the environmental and human spatial relationships in tropical rain forest and savanna landscapes. Human adaptation to variations within these landscapes through time and space. Biophysical constraints upon "development" in the modern era.
MCGILL complete current official course definitionHuman-nature interactions over different scales of time in Latin America (with an emphasis on neo-tropical environments) and the application of the historical perspective to contemporary environmental issues, including historiography and methodology; cultures of environmental knowledge.
MCGILL complete current official course definitionCompeting theories about the causes of underdevelopment in the poor countries. Topics include the impact of geography, the population explosion, culture and national character, economic and sexual inequalities, democracy and dictatorship. Western imperialism and multi-national corporations, reliance on the market, and development through local participation, cooperation, and appropriate technology.
MCGILL complete current official course definitionManagement, preservation, and utilization of forage crops in sustainable tropical environments; examination of their value as livestock feed in terms of nutritional composition and impact on animal performance; land use issues as it pertains to forage and animal production in insular environments.
MCGILL complete current official course definitionAdvanced study of the environmental crisis in developing and advanced industrial nations, with emphasis on the social and cultural dimensions of natural resource management and environmental change. Each year, the seminar will focus on a particular set of issues, delineated by type of resource, geographic region, or analytical problem.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionAn introduction to Geographic Information Systems. The systematic management of spatial data. The use and construction of maps. The use of microcomputers and software for mapping and statistical work. Air photo and topographic map analyses.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionPractical application of environmental planning, analysis and management techniques with reference to the needs and problems of developing areas. Special challenges posed by cultural differences and traditional resource systems are discussed. This course involves practical field work in a developing area (Kenya or Panama).
MCGILL complete current official course definitionLinkage of physical processes (hydrology and ecosystems) with issues of societal and socio-economic relevance (land, food, and water use appropriation for human well-being). Application of a holistic perspective on land, food and water issues in an international setting, highlighting linkages, feedbacks and trade-offs in an Earth system context.
MCGILL complete current official course definitionThis course explores the relationship between economic activity, management, and the natural environment. Using readings, discussions and cases, the course will explore the challenges that the goal of sustainable development poses for our existing notions of economic goals, production and consumption practices and the management of organizations.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Environment Major - Land Surface Processes and Environmental Change (B.Sc.(Ag.Env.Sc.)) or (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
A systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionThe planning of projects and research activities related to tropical food, nutrition, or energy at the local, regional, or national scale in Barbados. Projects and activities designed in consultation with university instructors, government, NGO, or private partners, and prepared by teams of 2-3 students working cooperatively with these mentors.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionThree intersecting components: 1) core development themes including culture change, environmental conservation, water, health, development (urban and rural), governance and conflict resolution, 2) research techniques for topics related to core themes, including ethics, risk, field methods and data analysis, 3) field documentation, scientific recording and communication.
MCGILL complete current official course definitionAn introduction to system-level interactions among climate, hydrology, soils and vegetation at the scale of drainage basins, including the study of the global geographical variability in these land-surface systems. The knowledge acquired is used to study the impact on the environment of various human activities such as deforestation and urbanisation.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionExploratory data analysis, univariate descriptive and inferential statistics, non-parametric statistics, correlation and simple regression. Problems associated with analysing spatial data such as the 'modifiable areal unit problem' and spatial autocorrelation. Statistics measuring spatial pattern in point, line and polygon data.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionAn introduction to Geographic Information Systems. The systematic management of spatial data. The use and construction of maps. The use of microcomputers and software for mapping and statistical work. Air photo and topographic map analyses.
MCGILL complete current official course definitionAn introduction to key physical and dynamical processes in the oceans and atmosphere. Topics typically include air-sea-ice interactions, laws of motion, the geostrophic and thermal wind relations, general circulation of the atmosphere and oceans, weather, radiative balance, climate sensitivity and variability, role of the atmosphere and oceans in climate.
MCGILL complete current official course definitionThe climate system and ongoing global change, ocean and atmosphere circulation and future trends in the tropics; local climate variability and dynamics, extreme weather events in the Caribbean .
MCGILL complete current official course definitionThe physical processes underlying weather. Topics include: the atmosphere - its properties (structure and motion), and thermodynamics (stability, heat and moisture); clouds and precipitation; air masses and fronts; mid-latitude weather systems and severe weather.
MCGILL complete current official course definitionThe earth-atmosphere system, radiation and energy balances. Surface-atmosphere exchange of energy, mass and momentum and related atmospheric processes on a local and regional scale. Introduction to measurement theory and practice in micrometeorology.
MCGILL complete current official course definitionIntroduction to the study of landforms as products of geomorphic and geologic systems acting at and near the Earth's surface. The process geomorphology approach will be used to demonstrate how landforms of different geomorphic settings represent a dynamic balance between forces acting in the environment and the physical properties of materials present.
MCGILL complete current official course definitionInteractions between Earth's various geologic systems and how these interactions lead to mineral and rock formation. Geomorphic processes and how various landforms are created by the interactions at the Earth's surface between the various geologic systems.
MCGILL complete current official course definitionWith reference to the ecosystems in the St Lawrence lowlands, the principles and processes governing climate-landform-water-soil-vegetation systems and their interactions will be examined in lecture and laboratory. Emphasis on the natural environment as an integrated system.
MCGILL complete current official course definitionDiscussion of the major properties of soils; soil formation, classification and mapping; land capability assessment; the role and response of soils in natural and disturbed environments (e.g. global change, ecosystem disturbance).
MCGILL complete current official course definitionIntroduction to water resources and hydrologic cycle. Precipitation and hydrologic frequency analysis. Soil water processes, infiltration theory and modeling. Evapotranspiration estimation methods and crop water requirements. Surface runoff estimation as a function of land use modifications. Estimation of peak runoff rates. Unit hydrograph. Design of open channels and vegetated waterways.
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionContrast theory and practice in defining agricultural environmental "challenges" in the Neotropics. Indigenous and appropriate technological means of mitigation. Soil management and erosion, water scarcity, water over-abundance, and water quality. Explore agro-ecosystem protection via field trips and project designs. Institutional context of conservation strategies, NGO links, and public participation.
MCGILL complete current official course definitionPrinciples of population, community, and ecosystem dynamics: population growth and regulation, species interactions, dynamics of competitive interactions and of predator/prey systems; evolutionary dynamics.
MCGILL complete current official course definitionDiscussion of relevant theoretical and applied issues in conservation biology. Topics: biodiversity, population viability analysis, community dynamics, biology of rarity, extinction, habitat fragmentation, social issues.
MCGILL complete current official course definitionIntroduction to environmental engineering; mass balance analyses in engineered and natural systems; foundations of environmental chemistry and microbiology; water, soil, air pollution characterization, transport, and control; water quality parameters; drinking water and wastewater treatment technologies; environmental risk assessment; waste management; applicable sustainable practices; experimental errors; instrumentation principles.
MCGILL complete current official course definitionInteractions between organisms and their environment; historical and current perspectives in applied and theoretical population and community ecology. Principles of population dynamics, feedback loops, and population regulation. Development and structure of communities; competition, predation and food web dynamics. Biodiversity science in theory and practice.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionAn advanced spatial analysis course that uses rapidly developing techniques in GIS and remote sensing to solve problems in natural resource management. Focuses on controlling spatial operations through programming.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionIntroduction to principal concepts of systems modelling related to Earth system science and environmental science, including simple numerical models, conservation laws of mass, energy, and momentum, discretization of governing differential equations, the stability of numerical schemes, and exploration of the ideas of equilibria, feedbacks, and complexity.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionA conceptual view of remote sensing and the underlying physical principles. Covers ground-based, aerial, satellite systems, and the electromagnetic spectrum, from visible to microwave. Emphasis on application of remotely sensed data in geography including land cover change and ecological processes.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionPractical application of environmental planning, analysis and management techniques with reference to the needs and problems of developing areas. Special challenges posed by cultural differences and traditional resource systems are discussed. This course involves practical field work in a developing area (Kenya or Panama).
MCGILL complete current official course definitionCritically analyse major themes in geographic information science and draw out the practical ramifications for spatial technologies and research. Topics such as spatial interoperability, data quality, scale, visualization, location based services and ontologies are covered.
MCGILL complete current official course definitionLinkage of physical processes (hydrology and ecosystems) with issues of societal and socio-economic relevance (land, food, and water use appropriation for human well-being). Application of a holistic perspective on land, food and water issues in an international setting, highlighting linkages, feedbacks and trade-offs in an Earth system context.
MCGILL complete current official course definitionPlant nutrients in the soil, influence of soil properties on nutrient absorption and plant growth, use of organic and inorganic fertilizers.
MCGILL complete current official course definitionStudy of current controversial issues focusing on wildlife conservation. Topics include: animal rights, exotic species, ecotourism, urban wildlife, multi-use of national parks, harvesting of wildlife, biological controls, and endangered species.
MCGILL complete current official course definitionThe study of silviculture and silvics and their application to forest management to sustain the production of wood and other ecological goods and services such as wildlife, water and landscape in natural forests and rural environments (agroforestry). Acquisition of practical skills in forest surveying and computer simulation of forest growth.
MCGILL complete current official course definitionObserving weather, climate and environmental chemistry in tropical Barbados. Emphasis on experiential learning. Field observations typically cover measurements of sea surface temperature, meteorological variables, and environmental chemical characteristics.
MCGILL complete current official course definitionBiodiversity loss and the measure of ecological integrity of ecosystems, patterns of diversification and evolution of terrestrial and oceanic biotas in the Caribbean.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionField research projects in physical geography. Held locally in Monteregian or Eastern Township regions. The course is organised around field projects designed to formulate and test scientific hypotheses in a physical geography discipline. May Summer session.
MCGILL complete current official course definitionLecture course on the geography of a region and excursion through the selected country or region including landscape interpretation and field study projects.
MCGILL complete current official course definitionA three week field course exploring relationships between climate, geology, landforms, biodiversity, biotic adaptations and ecosystem conditions in the arid regions of Arizona and southern California. Focus is on the Sonoran and Mojave deserts but includes the transitions to adjacent grassland and forest biomes of the Sky Islands and Colorado Plateau. Exploration of issues arising from human use of land and water, and conservation in arid environments. Experiential learning involving team and individual projects and assignments before and during the field trip.
MCGILL complete current official course definitionThe role of resources in the environment, use of resources, and management of economic resources within the firm or organization. Problem-solving, case studies involving private and public decision-making in organizations are utilized.
MCGILL complete current official course definitionIntensive study of theories and cases in ecological anthropology. Theories are examined and tested through comparative case-study analysis. Cultural constructions of "nature" and "environment" are compared and analyzed. Systems of resource management and conflicts over the use of resources are studied in depth.
MCGILL complete current official course definitionA study of the application of economic theory to questions of environmental policy. Particular attention will be given to the measurement and regulation of pollution, congestion and waste and other environmental aspects of specific economies.
MCGILL complete current official course definitionMacroeconomic and structural aspects of the ecological crisis. A course in which subjects discussed include the conflict between economic growth and the laws of thermodynamics; the search for alternative economic indicators; the fossil fuels crisis; and "green'' fiscal policy.
MCGILL complete current official course definitionTopics include: Malthusian and Ricardian Scarcity; optimal depletion of renewable and non-renewable resources; exploration, risk and industry structure, and current resources, rent and taxation. Current public policies applied to the resource industries, particularly those of a regulatory nature.
MCGILL complete current official course definitionThis course will focus on the role of place and history in the cities in which we live and in our understanding of sustainability. Each year, students will work to develop a historical reconstruction of the natural environment of Montreal and of its links to the cultural landscape, building on the work of previous cohorts of students.
MCGILL complete current official course definitionKey chemical, physical, and social stressors in the environment, and how these affect the health of people and ecosystems. Hazards in air, water, food, and work environments. Historic, current, and future need for environmental health science, from scientific, personal, and practical perspectives.
MCGILL complete current official course definitionExamines the geographical dimensions of development policy, specifically the relationships between the process of development and human-induced environmental change. Focuses on environmental sustainability, struggles over resource control, population and poverty, and levels of governance (the role of the state, non-governmental organizations, and local communities).
MCGILL complete current official course definitionFocus on understanding of inter-relations between humans and neotropical environments represented in Panama. Study of contemporary rural landscapes, their origins, development and change. Impacts of economic growth and inequality, social organization, and politics on natural resource use and environmental degradation. Site visits and field exercises in peasant/colonist, Amerindian, and plantation communities.
MCGILL complete current official course definitionHuman-nature interactions over different scales of time in Latin America (with an emphasis on neo-tropical environments) and the application of the historical perspective to contemporary environmental issues, including historiography and methodology; cultures of environmental knowledge.
MCGILL complete current official course definitionKey chemical, physical, and social stressors in the environment, and how these affect the health of people and ecosystems. Hazards in air, water, food, and work environments. Historic, current, and future need for environmental health science, from scientific, personal, and practical perspectives.
MCGILL complete current official course definitionEnvironmental problems like climate change, deforestation, biodiversity loss, and ocean acidification transcend national borders. Solving these problems will require global cooperation on an unprecedented level. This course will explore the challenges of contemporary global environmental governance and the innovative solutions being advanced at the community, municipal, provincial, national, and international levels.
MCGILL complete current official course definitionProduction of written and oral assignments (in English) designed to communicate scientific problems and findings to varied audiences Analysis of the disciplinary conventions of scientific discourse in terms of audience, purpose, organization, and style; comparative rhetorical analysis of academic and popular genres, including abstracts, lab reports, research papers, print and online journalism.
MCGILL complete current official course definitionA study of the physical, chemical and biological properties of lakes and other inland waters, with emphasis on their functioning as systems.
MCGILL complete current official course definitionBiotic and abiotic processes that control the flows of energy, nutrients and water through ecosystems; emergent system properties; approaches to analyzing complex systems. Labs include collection and multivariate analysis of field data.
MCGILL complete current official course definitionThe course focuses on the physical habitat conditions found in streams, rivers, estuaries and deltas. Based on the laws governing flow of water and sediment transport, it emphasizes differences among these environments, in terms of channel form, flow patterns, substrate composition and mode of evolution. Flooding, damming, channelisation, forestry impacts.
MCGILL complete current official course definitionAn examination of the structure, function and utility of wetlands. Topics include the fluxes of energy and water, wetland biogeochemistry, plant ecology in freshwater and coastal wetlands and wetlands use, conservation and restoration. Field trip(s) are envisaged to illustrate issues covered in class.
MCGILL complete current official course definitionPrinciples and methods of Quaternary paleoecology and vegetation reconstruction. Examination of ecosystem response to human disturbance and environmental change.
MCGILL complete current official course definitionPrinciples of classification and identification of flowering plants and ferns, with emphasis on 35 major families of flowering plants and the habitats in which they grow.
MCGILL complete current official course definitionTheory and practice of plant ecology with an emphasis on the interaction between patterns and ecological processes and the dynamics, conservation and management of plant populations and communities over a range of temporal and spatial scales.
MCGILL complete current official course definitionBuoyancy, stability, and vertical oscillations. Dry and moist adiabatic processes. Resulting dry and precipitating convective circulations from the small scale to the global scale. Mesoscale precipitation systems from the cell to convective complexes. Severe convection, downbursts, mesocyclones.
MCGILL complete current official course definitionHydrologic cycle in the nature and how to quantitatively describe those processes using models. The fundamentals of hydrology including basic concepts, precipitation, snow and snowmelt, evapotranspiration, subsurface flow, infiltration and soil water movement, and runoff and streamflow. Equivalent attention to theories and hands-on practices on model application. How to set up and execute weather data driven physical based models, both at a point-scale and a watershed scale, to predict snowmelt, evapotranspiration, infiltration, soil water redistribution, subsurface drainage, runoff, and stream flow in hydrologic systems.
MCGILL complete current official course definitionThe basic concepts and calculations needed to quantitatively understand the geochemical processes occurring between minerals and waters in Earth’s near-surface environment. The important concepts of thermodynamics and kinetics will be exemplified using examples that concentrate on reactions between minerals and water and their impact on the environment.
MCGILL complete current official course definitionIntroduction to groundwater flow through porous media. Notions of fluid potential and hydraulic head. Darcy flux and Darcy's Law. Physical properties of porous media and their measurement. Equation of groundwater flow. Flow systems. Hydraulics of pumping and recharging wells. Notions of hydrology. Groundwater quality and contamination. Physical processes of contaminant transport.
MCGILL complete current official course definitionConceptual and simulation models of key case studies for developing system thinking, including system stability, threshold dynamics in regime shifts, resilience, and adaptive environmental management.
MCGILL complete current official course definitionAn examination of the storage, transfers and cycling of major elements and substances, with an emphasis on the global scale and the linkages between the atmosphere, hydrosphere, lithosphere and biosphere.
MCGILL complete current official course definitionThe ecology of microorganisms, primarily bacteria and archaea, and their roles in biogeochemical cycles. Microbial interactions with the environment, plants, animals and other microbes emphasizing the underlying genetics and physiology. Diversity, evolution (microbial phylogenetics) and the application of molecular biology in microbial ecology.
MCGILL complete current official course definitionThe environmental contaminants which cause pollution; sources, amounts and transport of pollutants in water, air and soil; waste management.
MCGILL complete current official course definitionExploration of the unique soil habitat for organisms with a focus on the variables that affect the abundance, diversity and interactions of soil biota and, in turn, their influence on soil physicochemical properties, biogeochemical cycles and other factors impacting ecosystem sustainability. Topics include survey of soil fauna, soil food webs, microbial ecology, biological carbon and nitrogen cycling, plant-soil interactions, and the effects of human activities and management on soil ecology, including synthesizing concepts and a critical analysis and interpretation of primary scientific literature in soil ecology.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Environment Major - Renewable Resource Management (B.Sc.(Ag.Env.Sc.)) or (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
The cell: ultrastructure, division, chemical constituents and reactions. Bioenergetics: photosynthesis and respiration. Principles of genetics, the molecular basis of inheritance and biotechnology.
MCGILL complete current official course definitionBiochemistry of carbohydrates, lipids, proteins, nucleic acids; enzymes and coenzymes. Introduction to intermediary metabolism.
MCGILL complete current official course definitionA fundamental study of aliphatic compounds and saturated functional groups including modern concepts of bonding, reaction mechanisms, conformational analysis, spectroscopy, and stereochemistry.
MCGILL complete current official course definitionAtomic and molecular structure, modern concepts of bonding, overview of functional groups, conformational analysis, stereochemistry, mechanisms and reactions of aliphatic compounds.
MCGILL complete current official course definitionA systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionThe biology of plants and plant-based systems in managed and natural terrestrial environments. The interactions between autotrophs and soil organisms and selected groups of animals with close ecological and evolutionary connections with plants (e.g., herbivores and pollinators) will be explored in lecture and laboratory.
MCGILL complete current official course definitionIntroduction to the biology of heterotrophs, focusing on animal diversity from the perspectives of phylogenetics, physiology, and ecology. Introduction to major animal taxa, comparing and contrasting these taxa, and exploration of the relationships among them.
MCGILL complete current official course definitionThe characteristics of the major groups of animals, their ancestry, history and relationship to one another. The processes of speciation, adaptive radiation and extinction responsible for diversity. Methods for constructing of phylogenies, for comparing phenotypes, and for estimating and analyzing diversity.
MCGILL complete current official course definitionPrinciples of population, community, and ecosystem dynamics: population growth and regulation, species interactions, dynamics of competitive interactions and of predator/prey systems; evolutionary dynamics.
MCGILL complete current official course definitionInteractions between organisms and their environment; historical and current perspectives in applied and theoretical population and community ecology. Principles of population dynamics, feedback loops, and population regulation. Development and structure of communities; competition, predation and food web dynamics. Biodiversity science in theory and practice.
MCGILL complete current official course definitionWith reference to the ecosystems in the St Lawrence lowlands, the principles and processes governing climate-landform-water-soil-vegetation systems and their interactions will be examined in lecture and laboratory. Emphasis on the natural environment as an integrated system.
MCGILL complete current official course definitionDiscussion of the major properties of soils; soil formation, classification and mapping; land capability assessment; the role and response of soils in natural and disturbed environments (e.g. global change, ecosystem disturbance).
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionElementary statistical methods in biology. Introduction to the analysis of biological data with emphasis on the assumptions behind statistical tests and models. Use of statistical techniques typically available on computer packages.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionAn introduction to Geographic Information Systems. The systematic management of spatial data. The use and construction of maps. The use of microcomputers and software for mapping and statistical work. Air photo and topographic map analyses.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionThe course focuses on the physical habitat conditions found in streams, rivers, estuaries and deltas. Based on the laws governing flow of water and sediment transport, it emphasizes differences among these environments, in terms of channel form, flow patterns, substrate composition and mode of evolution. Flooding, damming, channelisation, forestry impacts.
MCGILL complete current official course definitionPrinciples of classification and identification of flowering plants and ferns, with emphasis on 35 major families of flowering plants and the habitats in which they grow.
MCGILL complete current official course definitionSoil processes responsible for soil formation will be studied and the impact of changes to the physical and chemical environment will be discussed.
MCGILL complete current official course definitionThe diversity and natural history of Canadian vertebrates illustrated with trophic, phylogenetic, and macroecological approaches.
MCGILL complete current official course definitionBiodiversity loss and the measure of ecological integrity of ecosystems, patterns of diversification and evolution of terrestrial and oceanic biotas in the Caribbean.
MCGILL complete current official course definitionA study of the physical, chemical and biological properties of lakes and other inland waters, with emphasis on their functioning as systems.
MCGILL complete current official course definitionDiscussion of relevant theoretical and applied issues in conservation biology. Topics: biodiversity, population viability analysis, community dynamics, biology of rarity, extinction, habitat fragmentation, social issues.
MCGILL complete current official course definitionIntroduction to water resources and hydrologic cycle. Precipitation and hydrologic frequency analysis. Soil water processes, infiltration theory and modeling. Evapotranspiration estimation methods and crop water requirements. Surface runoff estimation as a function of land use modifications. Estimation of peak runoff rates. Unit hydrograph. Design of open channels and vegetated waterways.
MCGILL complete current official course definitionBiotic and abiotic processes that control the flows of energy, nutrients and water through ecosystems; emergent system properties; approaches to analyzing complex systems. Labs include collection and multivariate analysis of field data.
MCGILL complete current official course definitionExploring the impact of environmental chemicals on biological organisms in an ecological context. Basic topics in ecotoxicology, such as source and fate, routes of exposure, bioavailability, dose-response, biomarkers, and risk assessment will be covered from both theoretical and applied perspectives. The processes by which pollutants are tested, regulated, and monitored will be critically examined.
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionThe ecology of microorganisms, primarily bacteria and archaea, and their roles in biogeochemical cycles. Microbial interactions with the environment, plants, animals and other microbes emphasizing the underlying genetics and physiology. Diversity, evolution (microbial phylogenetics) and the application of molecular biology in microbial ecology.
MCGILL complete current official course definitionThe environmental contaminants which cause pollution; sources, amounts and transport of pollutants in water, air and soil; waste management.
MCGILL complete current official course definitionTheory and practice of plant ecology with an emphasis on the interaction between patterns and ecological processes and the dynamics, conservation and management of plant populations and communities over a range of temporal and spatial scales.
MCGILL complete current official course definitionThe role of resources in the environment, use of resources, and management of economic resources within the firm or organization. Problem-solving, case studies involving private and public decision-making in organizations are utilized.
MCGILL complete current official course definitionIntensive study of theories and cases in ecological anthropology. Theories are examined and tested through comparative case-study analysis. Cultural constructions of "nature" and "environment" are compared and analyzed. Systems of resource management and conflicts over the use of resources are studied in depth.
MCGILL complete current official course definitionTopics include: Malthusian and Ricardian Scarcity; optimal depletion of renewable and non-renewable resources; exploration, risk and industry structure, and current resources, rent and taxation. Current public policies applied to the resource industries, particularly those of a regulatory nature.
MCGILL complete current official course definitionThis course will focus on the role of place and history in the cities in which we live and in our understanding of sustainability. Each year, students will work to develop a historical reconstruction of the natural environment of Montreal and of its links to the cultural landscape, building on the work of previous cohorts of students.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionFocus on understanding of inter-relations between humans and neotropical environments represented in Panama. Study of contemporary rural landscapes, their origins, development and change. Impacts of economic growth and inequality, social organization, and politics on natural resource use and environmental degradation. Site visits and field exercises in peasant/colonist, Amerindian, and plantation communities.
MCGILL complete current official course definitionEnvironmental potential of various religious traditions and secular perspectives, including animal rights, ecofeminism, and deep ecology.
MCGILL complete current official course definitionPhysical environment challenges, centered on water, being faced by an island nation. Guest speakers, field study tours and laboratory tests. Private, government and NGO institutional context of conservation strategies, and water quantity and quality analyses for water management specific to Barbados.
MCGILL complete current official course definitionContrast theory and practice in defining agricultural environmental "challenges" in the Neotropics. Indigenous and appropriate technological means of mitigation. Soil management and erosion, water scarcity, water over-abundance, and water quality. Explore agro-ecosystem protection via field trips and project designs. Institutional context of conservation strategies, NGO links, and public participation.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionPractical application of environmental planning, analysis and management techniques with reference to the needs and problems of developing areas. Special challenges posed by cultural differences and traditional resource systems are discussed. This course involves practical field work in a developing area (Kenya or Panama).
MCGILL complete current official course definitionApplication of plant science and soil science to production of agronomic and horticultural crops. Use and sustainability of fertilization, weed control, crop rotation, tillage, drainage and irrigation practices.
MCGILL complete current official course definitionPrinciples of fisheries and wildlife management are considered and current practices of research and management are discussed.
MCGILL complete current official course definitionThe study of silviculture and silvics and their application to forest management to sustain the production of wood and other ecological goods and services such as wildlife, water and landscape in natural forests and rural environments (agroforestry). Acquisition of practical skills in forest surveying and computer simulation of forest growth.
MCGILL complete current official course definitionPublished required and complementary course choices for the 63-credit Environment Major - Water Environments and Ecosystems (B.Sc.(Ag.Env.Sc.)) or (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 63 credits for this program; faculty-wide degree and foundation requirements apply separately.
An introduction to key physical and dynamical processes in the oceans and atmosphere. Topics typically include air-sea-ice interactions, laws of motion, the geostrophic and thermal wind relations, general circulation of the atmosphere and oceans, weather, radiative balance, climate sensitivity and variability, role of the atmosphere and oceans in climate.
MCGILL complete current official course definitionA systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionThe planning of projects and research activities related to tropical food, nutrition, or energy at the local, regional, or national scale in Barbados. Projects and activities designed in consultation with university instructors, government, NGO, or private partners, and prepared by teams of 2-3 students working cooperatively with these mentors.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionThree intersecting components: 1) core development themes including culture change, environmental conservation, water, health, development (urban and rural), governance and conflict resolution, 2) research techniques for topics related to core themes, including ethics, risk, field methods and data analysis, 3) field documentation, scientific recording and communication.
MCGILL complete current official course definitionIntroduction to water resources and hydrologic cycle. Precipitation and hydrologic frequency analysis. Soil water processes, infiltration theory and modeling. Evapotranspiration estimation methods and crop water requirements. Surface runoff estimation as a function of land use modifications. Estimation of peak runoff rates. Unit hydrograph. Design of open channels and vegetated waterways.
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionPrinciples of population, community, and ecosystem dynamics: population growth and regulation, species interactions, dynamics of competitive interactions and of predator/prey systems; evolutionary dynamics.
MCGILL complete current official course definitionInteractions between organisms and their environment; historical and current perspectives in applied and theoretical population and community ecology. Principles of population dynamics, feedback loops, and population regulation. Development and structure of communities; competition, predation and food web dynamics. Biodiversity science in theory and practice.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionExploratory data analysis, univariate descriptive and inferential statistics, non-parametric statistics, correlation and simple regression. Problems associated with analysing spatial data such as the 'modifiable areal unit problem' and spatial autocorrelation. Statistics measuring spatial pattern in point, line and polygon data.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionMethods of sampling natural populations. Testing hypotheses in nature.
MCGILL complete current official course definitionRelevant to agriculture, forestry, fisheries and conservation of natural resources. Field component taught at the University's Bellairs Research Institute in Barbados, for two weeks in early May. The course is organized in a series of small-group field projects of 2-3 days each. Interested students should check the course website, attend the full information session and fill out an application form.
MCGILL complete current official course definitionSee BIOL 334D1 for course description.
MCGILL complete current official course definitionBiology of marine mammals with special emphasis on seals and whales of the Bay of Fundy. Taught at the Huntsman Marine Science Centre, St. Andrews, N.B., for two weeks in August. The course combines lectures, laboratory exercises, field trips, and individual projects.
MCGILL complete current official course definitionBiodiversity loss and the measure of ecological integrity of ecosystems, patterns of diversification and evolution of terrestrial and oceanic biotas in the Caribbean.
MCGILL complete current official course definitionField research projects in physical geography. Held locally in Monteregian or Eastern Township regions. The course is organised around field projects designed to formulate and test scientific hypotheses in a physical geography discipline. May Summer session.
MCGILL complete current official course definitionPrinciples of fisheries and wildlife management are considered and current practices of research and management are discussed.
MCGILL complete current official course definitionThe role of resources in the environment, use of resources, and management of economic resources within the firm or organization. Problem-solving, case studies involving private and public decision-making in organizations are utilized.
MCGILL complete current official course definitionUnderstanding the roles in which animals are used by Society, especially in food production, companionship, research, and recreation; application of the scientific approaches that are used in assessing and improving animal welfare; and use of ethical approaches that are invoked in the use of animals, often in controversial contexts. An interdisciplinary course, based on active participation and discussion-method learning.
MCGILL complete current official course definitionIntensive study of theories and cases in ecological anthropology. Theories are examined and tested through comparative case-study analysis. Cultural constructions of "nature" and "environment" are compared and analyzed. Systems of resource management and conflicts over the use of resources are studied in depth.
MCGILL complete current official course definitionAdvanced study of the environmental crisis in developing and advanced industrial nations, with emphasis on the social and cultural dimensions of natural resource management and environmental change. Each year, the seminar will focus on a particular set of issues, delineated by type of resource, geographic region, or analytical problem.
MCGILL complete current official course definitionA survey of contemporary approaches to communication, media and environment in the field of communication studies. Focus on critical attention on media, communication and knowledge practices concerning environmental information, issues and controversies, as well as the environmental impacts of media technologies, infrastructures and practices. Topics include public communication of science and environmental information (journalism, governments; social movements), climate change communication, media materialities and toxicities (energy, pollution, waste), environmental racism and environmental justice, environment and disability,
MCGILL complete current official course definitionA study of the application of economic theory to questions of environmental policy. Particular attention will be given to the measurement and regulation of pollution, congestion and waste and other environmental aspects of specific economies.
MCGILL complete current official course definitionMacroeconomic and structural aspects of the ecological crisis. A course in which subjects discussed include the conflict between economic growth and the laws of thermodynamics; the search for alternative economic indicators; the fossil fuels crisis; and "green'' fiscal policy.
MCGILL complete current official course definitionThis course will focus on the role of place and history in the cities in which we live and in our understanding of sustainability. Each year, students will work to develop a historical reconstruction of the natural environment of Montreal and of its links to the cultural landscape, building on the work of previous cohorts of students.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionPractical application of environmental planning, analysis and management techniques with reference to the needs and problems of developing areas. Special challenges posed by cultural differences and traditional resource systems are discussed. This course involves practical field work in a developing area (Kenya or Panama).
MCGILL complete current official course definitionFocus on understanding of inter-relations between humans and neotropical environments represented in Panama. Study of contemporary rural landscapes, their origins, development and change. Impacts of economic growth and inequality, social organization, and politics on natural resource use and environmental degradation. Site visits and field exercises in peasant/colonist, Amerindian, and plantation communities.
MCGILL complete current official course definitionLinkage of physical processes (hydrology and ecosystems) with issues of societal and socio-economic relevance (land, food, and water use appropriation for human well-being). Application of a holistic perspective on land, food and water issues in an international setting, highlighting linkages, feedbacks and trade-offs in an Earth system context.
MCGILL complete current official course definitionHuman-nature interactions over different scales of time in Latin America (with an emphasis on neo-tropical environments) and the application of the historical perspective to contemporary environmental issues, including historiography and methodology; cultures of environmental knowledge.
MCGILL complete current official course definitionThe politics and processes of global governance in the 21st century, with a special emphasis on the United Nations system.
MCGILL complete current official course definitionEnvironmental problems like climate change, deforestation, biodiversity loss, and ocean acidification transcend national borders. Solving these problems will require global cooperation on an unprecedented level. This course will explore the challenges of contemporary global environmental governance and the innovative solutions being advanced at the community, municipal, provincial, national, and international levels.
MCGILL complete current official course definitionProduction of written and oral assignments (in English) designed to communicate scientific problems and findings to varied audiences Analysis of the disciplinary conventions of scientific discourse in terms of audience, purpose, organization, and style; comparative rhetorical analysis of academic and popular genres, including abstracts, lab reports, research papers, print and online journalism.
MCGILL complete current official course definitionStudy of current controversial issues focusing on wildlife conservation. Topics include: animal rights, exotic species, ecotourism, urban wildlife, multi-use of national parks, harvesting of wildlife, biological controls, and endangered species.
MCGILL complete current official course definitionEcological bases of the natural causes and consequences of current global environmental changes, including how biodiversity and ecosystem processes are defined and measured, how they vary in space and time, how they are affected by physical and biological factors, and how they affect each other and human societies.
MCGILL complete current official course definitionAn introduction to freshwater and marine biology. Topics include the structure and functioning of the major aquatic ecosystems and how these aspects are affected by global change drivers.
MCGILL complete current official course definitionA study of the physical, chemical and biological properties of lakes and other inland waters, with emphasis on their functioning as systems.
MCGILL complete current official course definitionAn introduction to how the ocean functions biologically: biology and ecology of marine plankton; regulation, extent and fate of production in the sea.
MCGILL complete current official course definitionDiscussion of relevant theoretical and applied issues in conservation biology. Topics: biodiversity, population viability analysis, community dynamics, biology of rarity, extinction, habitat fragmentation, social issues.
MCGILL complete current official course definitionCauses and consequences of biological invasion, as well as risk assessment methods and management strategies for dealing with invasive species.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionThe water phases of terrestrial ecological systems and the processes that link them. Physical, chemical, and biological properties of water, and water quality standards. The fate and transport of pollutants in rivers and streams, lakes, and wetlands. Methods to quantify soil carbon and nitrogen cycle to predict nutrient leaching. Impacts of human activities (e.g., agricultural drainage) on water quality and measures to improve drainage water quality. Assess the effectiveness of proposed engineering measures or management practices in improving or maintaining water quality of a real site/water body using numerical methods or a computer modelling approach.
MCGILL complete current official course definitionWith reference to the ecosystems in the St Lawrence lowlands, the principles and processes governing climate-landform-water-soil-vegetation systems and their interactions will be examined in lecture and laboratory. Emphasis on the natural environment as an integrated system.
MCGILL complete current official course definitionBiotic and abiotic processes that control the flows of energy, nutrients and water through ecosystems; emergent system properties; approaches to analyzing complex systems. Labs include collection and multivariate analysis of field data.
MCGILL complete current official course definitionExploring the impact of environmental chemicals on biological organisms in an ecological context. Basic topics in ecotoxicology, such as source and fate, routes of exposure, bioavailability, dose-response, biomarkers, and risk assessment will be covered from both theoretical and applied perspectives. The processes by which pollutants are tested, regulated, and monitored will be critically examined.
MCGILL complete current official course definitionCauses and consequences of biological invasion, as well as risk assessment methods and management strategies for dealing with invasive species.
MCGILL complete current official course definitionAn examination of the structure, function and utility of wetlands. Topics include the fluxes of energy and water, wetland biogeochemistry, plant ecology in freshwater and coastal wetlands and wetlands use, conservation and restoration. Field trip(s) are envisaged to illustrate issues covered in class.
MCGILL complete current official course definitionDiscussion of the major properties of soils; soil formation, classification and mapping; land capability assessment; the role and response of soils in natural and disturbed environments (e.g. global change, ecosystem disturbance).
MCGILL complete current official course definitionThe ecology of microorganisms, primarily bacteria and archaea, and their roles in biogeochemical cycles. Microbial interactions with the environment, plants, animals and other microbes emphasizing the underlying genetics and physiology. Diversity, evolution (microbial phylogenetics) and the application of molecular biology in microbial ecology.
MCGILL complete current official course definitionThe environmental contaminants which cause pollution; sources, amounts and transport of pollutants in water, air and soil; waste management.
MCGILL complete current official course definitionInfectious pathogens of humans and animals and their impact on the global environment are considered. The central tenet is that infectious pathogens are environmental risk factors. The course considers their impact on the human condition and juxtaposes the impact of control and treatment measures and environmental change.
MCGILL complete current official course definitionExploration of the unique soil habitat for organisms with a focus on the variables that affect the abundance, diversity and interactions of soil biota and, in turn, their influence on soil physicochemical properties, biogeochemical cycles and other factors impacting ecosystem sustainability. Topics include survey of soil fauna, soil food webs, microbial ecology, biological carbon and nitrogen cycling, plant-soil interactions, and the effects of human activities and management on soil ecology, including synthesizing concepts and a critical analysis and interpretation of primary scientific literature in soil ecology.
MCGILL complete current official course definitionIntroduction to the biology and ecology of freshwater and marine fishes. Topics include taxonomy, physiology, biogeography, competition, predation, fishing, and conservation. Lab exercises and field trips emphasize familiarity with local fishes and their ecological interactions.
MCGILL complete current official course definitionAn introduction to key physical processes operating in the atmosphere, designed for students in science and engineering. Topics typically include: composition of the atmosphere; vertical structure; heat transfer; solar and terrestrial radiation and Earth's energy balance; seasonal and daily temperature changes; humidity and the formation of clouds and precipitation; stability of tropospheric air layers; applications of adiabatic charts.
MCGILL complete current official course definitionAn introduction to the basic topics in atmospheric chemistry. The fundamentals of the chemical composition of the atmosphere and its chemical reactions. Selected topics such as smog chamber, acid rain, and ozone hole will be examined.
MCGILL complete current official course definitionThe climate system and ongoing global change, ocean and atmosphere circulation and future trends in the tropics; local climate variability and dynamics, extreme weather events in the Caribbean .
MCGILL complete current official course definitionAquatic ecology and the major issues challenging the field.
MCGILL complete current official course definitionHydrologic cycle in the nature and how to quantitatively describe those processes using models. The fundamentals of hydrology including basic concepts, precipitation, snow and snowmelt, evapotranspiration, subsurface flow, infiltration and soil water movement, and runoff and streamflow. Equivalent attention to theories and hands-on practices on model application. How to set up and execute weather data driven physical based models, both at a point-scale and a watershed scale, to predict snowmelt, evapotranspiration, infiltration, soil water redistribution, subsurface drainage, runoff, and stream flow in hydrologic systems.
MCGILL complete current official course definitionAn introduction to the basic topics in atmospheric chemistry. The fundamentals of the chemical composition of the atmosphere and its chemical reactions. Selected topics such as; a smog chamber, acid rain, and the ozone hole, will be examined.
MCGILL complete current official course definitionQualitative and quantitative analysis. A survey of methods of analysis including theory and practice of semimicro qualitative analysis and representative gravimetric, volumetric and instrumental methods. The laboratory component includes introductory experiments in analytical chemistry emphasizing classical and instrumental methods of quantitative analysis.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionAn advanced spatial analysis course that uses rapidly developing techniques in GIS and remote sensing to solve problems in natural resource management. Focuses on controlling spatial operations through programming.
MCGILL complete current official course definitionBasic concepts in geochemistry and the quantitative application of principles of chemistry to geological subdisciplines using simple scripts in Matlab. Particular emphasis on the thermodynamics and kinetics of reactions on Earth and other planets, controls on elemental distribution, stable and radiogenic isotopes, and water chemistry. Application of phase diagrams to geology.
MCGILL complete current official course definitionThe basic concepts and calculations needed to quantitatively understand the geochemical processes occurring between minerals and waters in Earth’s near-surface environment. The important concepts of thermodynamics and kinetics will be exemplified using examples that concentrate on reactions between minerals and water and their impact on the environment.
MCGILL complete current official course definitionThe theory and application of stable and radioactive isotope measurements in the Earth and environmental sciences, including applications in geology, hydrology, climatology, biogeochemistry, and ecology.
MCGILL complete current official course definitionTraditional and emerging theories of dominant runoff generation processes. Streamflow generation. Surface and near-surface solute and contaminant transport. Concentration-discharge relationships. Geochemical mixing models. Dyes and biological tracers of water. Isotope ecohydrology. Water source and water age estimation approaches. Development, execution, and evaluation of process-based watershed models. Case studies from forested, agricultural and periurban watersheds.
MCGILL complete current official course definitionAn introduction to Geographic Information Systems. The systematic management of spatial data. The use and construction of maps. The use of microcomputers and software for mapping and statistical work. Air photo and topographic map analyses.
MCGILL complete current official course definitionA conceptual view of remote sensing and the underlying physical principles. Covers ground-based, aerial, satellite systems, and the electromagnetic spectrum, from visible to microwave. Emphasis on application of remotely sensed data in geography including land cover change and ecological processes.
MCGILL complete current official course definitionAn examination of the storage, transfers and cycling of major elements and substances, with an emphasis on the global scale and the linkages between the atmosphere, hydrosphere, lithosphere and biosphere.
MCGILL complete current official course definitionCritically analyse major themes in geographic information science and draw out the practical ramifications for spatial technologies and research. Topics such as spatial interoperability, data quality, scale, visualization, location based services and ontologies are covered.
MCGILL complete current official course definitionTraditional and emerging theories of dominant runoff generation processes. Streamflow generation. Surface and near-surface solute and contaminant transport. Concentration-discharge relationships. Geochemical mixing models. Dyes and biological tracers of water. Isotope ecohydrology. Water source and water age estimation approaches. Development, execution, and evaluation of process-based watershed models. Case studies from forested, agricultural and periurban watersheds.
MCGILL complete current official course definitionPrinciples and methods of Quaternary paleoecology and vegetation reconstruction. Examination of ecosystem response to human disturbance and environmental change.
MCGILL complete current official course definitionBuoyancy, stability, and vertical oscillations. Dry and moist adiabatic processes. Resulting dry and precipitating convective circulations from the small scale to the global scale. Mesoscale precipitation systems from the cell to convective complexes. Severe convection, downbursts, mesocyclones.
MCGILL complete current official course definitionIntroduction to groundwater flow through porous media. Notions of fluid potential and hydraulic head. Darcy flux and Darcy's Law. Physical properties of porous media and their measurement. Equation of groundwater flow. Flow systems. Hydraulics of pumping and recharging wells. Notions of hydrology. Groundwater quality and contamination. Physical processes of contaminant transport.
MCGILL complete current official course definitionMethods of differential and integral calculus forthe study of multivariable functions. Calculus of parametric and polar curves, vectors and geometry of space, vector functions, partial derivatives, multiple integrals, and their applications.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionFirst and second order differential equations, Laplace transforms, numerical solutions, systems of differential equations, series solutions, applications to biological, chemical and engineering systems, use of computer-based mathematical tools.
MCGILL complete current official course definitionBasic notions of radiative transfer and applications of satellite and radar data to mesoscale and synoptic-scale systems are discussed. Emphasis will be put on the contribution of remote sensing to atmospheric and oceanic sciences.
MCGILL complete current official course definitionPrinciples and practices of engineering for sustainability. Emphasis on environmental, economic, social, management and policy factors that should be incorporated into sustainable approaches to engineering and design. Topics will include: sustainability metrics, systems thinking, stakeholder engagement, and leading change for sustainability within companies.
MCGILL complete current official course definitionLand drainage in relation to soils and crops. Design of regional drainage systems, stability of ditches, ice problems. Design of subsurface drainage systems. Theories of flow into drain tubes. Hydraulics of wells. Drainage of irrigated lands. Water table control.
MCGILL complete current official course definitionA holistic examination of methods in watershed management with a focus on integrated water resources management (IWRM). Topics include: integration, participatory management, water resources assessment, modeling, planning, adaptive management, transboundary management, and transition management.
MCGILL complete current official course definitionPrecipitation, evaporation and transpiration. Streamflow, storage reservoirs, flood routing. Groundwater hydrology. Ecohydrology. Statistical analysis in hydrology, stochastic modelling. Simulations using hydrologic models. Case studies in flood damage mitigation, surface and ground water management, and water-energy-food nexus.
MCGILL complete current official course definitionOverview of both the theoretical and applied aspects of geographic information science and systems. Topics will include spatial analysis techniques, geographic models as abstractions of the real world, spatial data manipulation and management, and conceptual issues related to geographic data and technology. Introduction to a number of leading commercial software including ESRI’s ArcGIS Pro.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionPlant nutrients in the soil, influence of soil properties on nutrient absorption and plant growth, use of organic and inorganic fertilizers.
MCGILL complete current official course definitionPublished required and complementary course choices for the 60-credit Environment Major - Atmospheric Environment and Air Quality (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 60 credits for this program; faculty-wide degree and foundation requirements apply separately.
A systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionAn introduction to key physical processes operating in the atmosphere, designed for students in science and engineering. Topics typically include: composition of the atmosphere; vertical structure; heat transfer; solar and terrestrial radiation and Earth's energy balance; seasonal and daily temperature changes; humidity and the formation of clouds and precipitation; stability of tropospheric air layers; applications of adiabatic charts.
MCGILL complete current official course definitionAn introduction to key physical and dynamical processes in the oceans and atmosphere. Topics typically include air-sea-ice interactions, laws of motion, the geostrophic and thermal wind relations, general circulation of the atmosphere and oceans, weather, radiative balance, climate sensitivity and variability, role of the atmosphere and oceans in climate.
MCGILL complete current official course definitionAn introduction to the basic topics in atmospheric chemistry. The fundamentals of the chemical composition of the atmosphere and its chemical reactions. Selected topics such as smog chamber, acid rain, and ozone hole will be examined.
MCGILL complete current official course definitionBuoyancy, stability, and vertical oscillations. Dry and moist adiabatic processes. Resulting dry and precipitating convective circulations from the small scale to the global scale. Mesoscale precipitation systems from the cell to convective complexes. Severe convection, downbursts, mesocyclones.
MCGILL complete current official course definitionAn introduction to the basic topics in atmospheric chemistry. The fundamentals of the chemical composition of the atmosphere and its chemical reactions. Selected topics such as; a smog chamber, acid rain, and the ozone hole, will be examined.
MCGILL complete current official course definitionA conceptual view of remote sensing and the underlying physical principles. Covers ground-based, aerial, satellite systems, and the electromagnetic spectrum, from visible to microwave. Emphasis on application of remotely sensed data in geography including land cover change and ecological processes.
MCGILL complete current official course definitionMethods of differential and integral calculus forthe study of multivariable functions. Calculus of parametric and polar curves, vectors and geometry of space, vector functions, partial derivatives, multiple integrals, and their applications.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionQualitative and quantitative analysis. A survey of methods of analysis including theory and practice of semimicro qualitative analysis and representative gravimetric, volumetric and instrumental methods. The laboratory component includes introductory experiments in analytical chemistry emphasizing classical and instrumental methods of quantitative analysis.
MCGILL complete current official course definitionTheoretical aspects of wet chemical techniques including gravimetric and volumetric analyses, redoximetry, and separation techniques.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionFirst and second order differential equations, Laplace transforms, numerical solutions, systems of differential equations, series solutions, applications to biological, chemical and engineering systems, use of computer-based mathematical tools.
MCGILL complete current official course definitionBasic notions of radiative transfer and applications of satellite and radar data to mesoscale and synoptic-scale systems are discussed. Emphasis will be put on the contribution of remote sensing to atmospheric and oceanic sciences.
MCGILL complete current official course definitionExploration of the field of atmospheric chemistry that is identified as the significant driver of climate change and the cause of millions of premature death every year. Discussion of cutting-edge novel technologies for observing and quantifying pollutants (from ground to satellite) using artificial intelligence, the fate of emerging contaminants (e.g., nano/microplastics, trace metals, persistent organic), and modelling of atmospheric and interfacial processes. Examination of topics like atmospheric gaseous and multiphase components like bioaerosols. Study of photochemical, photophysical, and aerosol nucleation processes that affect air quality, climate change, and ecosystem health.
MCGILL complete current official course definitionAnalysis of current meteorological data. Description of a geostrophic, hydrostatic atmosphere. Ageostrophic circulations and hydrostatic instabilities. Kinematic and thermodynamic methods of computing vertical motions. Tropical and extratropical condensation rates. Barotropic and equivalent barotropic atmospheres.
MCGILL complete current official course definitionKinetics: Transition State Theory, complex reactions, free-radical reactions, chain reactions, catalysis, reactions at surfaces, ionic effects of reactions in solution, photochemistry. Methods: physical chemistry laboratory, differential equations and linear algebra applied to physical chemistry, computation methods for data analysis and modeling
MCGILL complete current official course definitionSpectroscopic methods of analysis will be studied with respect to fundamentals, operational aspects and instrument design. Topics will range from UV-visible to x-ray spectrometry. Methodologies will be evaluated with respect to their application in spectrometric systems. Laboratory automation will be studied and applied in the laboratory.
MCGILL complete current official course definitionExploration of the field of atmospheric chemistry that is identified as the significant driver of climate change and the cause of millions of premature death every year. Discussion of cutting-edge novel technologies for observing and quantifying pollutants (from ground to satellite) using artificial intelligence, the fate of emerging contaminants (e.g., nano/microplastics, trace metals, persistent organic), and modelling of atmospheric and interfacial processes. Examination of topics like atmospheric gaseous and multiphase components like bioaerosols. Study of photochemical, photophysical, and aerosol nucleation processes that affect air quality, climate change, and ecosystem health.
MCGILL complete current official course definitionIntroduction to environmental engineering; mass balance analyses in engineered and natural systems; foundations of environmental chemistry and microbiology; water, soil, air pollution characterization, transport, and control; water quality parameters; drinking water and wastewater treatment technologies; environmental risk assessment; waste management; applicable sustainable practices; experimental errors; instrumentation principles.
MCGILL complete current official course definitionGreenhouse gas inventories at various scales from national to institutional. Emission estimation methods including field measurements and engineering calculations for anthropogenic sources including fossil fuel combustion from transportation and energy production, cement production, hydroelectric reservoirs, oil and gas systems, landfills, wastewater treatment and sewer systems, and agriculture. Technical and policy options for reducing greenhouse gas emissions. Group project.
MCGILL complete current official course definitionProgramming and problem solving in a high level computer language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms such as searching and sorting. Modular software design, libraries, file input and output, debugging. Emphasis on applications in Physical Sciences and Engineering, such as root finding, numerical integration, diffusion, Monte Carlo methods.
MCGILL complete current official course definitionAn examination of the storage, transfers and cycling of major elements and substances, with an emphasis on the global scale and the linkages between the atmosphere, hydrosphere, lithosphere and biosphere.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionThe environmental contaminants which cause pollution; sources, amounts and transport of pollutants in water, air and soil; waste management.
MCGILL complete current official course definitionIntroduction to ecological anthropology, focusing on social and cultural adaptations to different environments, human impact on the environment, cultural constructions of the environment, management of common resources, and conflict over the use of resources.
MCGILL complete current official course definitionAdvanced study of the environmental crisis in developing and advanced industrial nations, with emphasis on the social and cultural dimensions of natural resource management and environmental change. Each year, the seminar will focus on a particular set of issues, delineated by type of resource, geographic region, or analytical problem.
MCGILL complete current official course definitionA study of the application of economic theory to questions of environmental policy. Particular attention will be given to the measurement and regulation of pollution, congestion and waste and other environmental aspects of specific economies.
MCGILL complete current official course definitionThe course focuses on the economic implications of, and problems posed by, predictions of global warming due to anthropogenic emissions of greenhouse gases. Attention is given to economic policies such as carbon taxes and tradeable emission permits and to the problems of displacing fossil fuels with new energy technologies.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionKey chemical, physical, and social stressors in the environment, and how these affect the health of people and ecosystems. Hazards in air, water, food, and work environments. Historic, current, and future need for environmental health science, from scientific, personal, and practical perspectives.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionDiscussion of the research questions and methods of health geography. Particular emphasis on health inequalities at multiple geographic scales and the theoretical links between characteristics of places and the health of people.
MCGILL complete current official course definitionThe local environmental, social, historical, political and economic context of Barbados and the Caribbean. The small island developing States (SIDS), and why those nations are more vulnerable to global environmental challenges. The 17 Sustainability Development Goals of the United Nations, with a focus on the leadership role played by Barbados for the entire Caribbean region.
MCGILL complete current official course definitionMajor themes and contemporary case studies in global health and environmental change. Focus on understanding global trends in emerging infectious disease from social, biophysical, and geographical perspectives, and critically assessing the health implications of environmental change in different international contexts.
MCGILL complete current official course definitionPractical application of environmental planning, analysis and management techniques with reference to the needs and problems of developing areas. Special challenges posed by cultural differences and traditional resource systems are discussed. This course involves practical field work in a developing area (Kenya or Panama).
MCGILL complete current official course definitionFocus on understanding of inter-relations between humans and neotropical environments represented in Panama. Study of contemporary rural landscapes, their origins, development and change. Impacts of economic growth and inequality, social organization, and politics on natural resource use and environmental degradation. Site visits and field exercises in peasant/colonist, Amerindian, and plantation communities.
MCGILL complete current official course definitionEnvironmental potential of various religious traditions and secular perspectives, including animal rights, ecofeminism, and deep ecology.
MCGILL complete current official course definitionPublished required and complementary course choices for the 66-credit Environment Major - Earth Sciences and Economics (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 66 credits for this program; faculty-wide degree and foundation requirements apply separately.
A systems approach to study the different components of the environment involved in global climate change: the atmosphere, biosphere, hydrosphere, and lithosphere. The interactions among these components. Their role in global climate change. The human dimension to global change.
MCGILL complete current official course definitionThis course deals with how scientific-technological, socio-economic, political-institutional and behavioural factors mediate society-environment interactions. Issues discussed include population and resources; consumption, impacts and institutions; integrating environmental values in societal decision-making; and the challenges associated with, and strategies for, promoting sustainability. Case studies in various sectors and contexts are used.
MCGILL complete current official course definitionFormation of the Earth and the evolution of life. How geological and biological change are the consequence of history, chance, and necessity acting over different scales of space and time. General principles governing the formation of modern landscapes and biotas. Effects of human activities on natural systems.
MCGILL complete current official course definitionIntroduction to cultural perspectives on the environment: the influence of culture and cognition on perceptions of the natural world; conflicts in orders of knowledge (models, taxonomies, paradigms, theories, cosmologies), ethics (moral values, frameworks, dilemmas), and law (formal and customary, rights and obligations) regarding political dimensions of critical environments, resource use, and technologies.
MCGILL complete current official course definitionTechniques used in design and completion of environmental research projects. Problem definition, data sources and use of appropriate strategies and methodologies. Principles underlying research design are emphasized, including critical thinking, recognizing causal relationships, ideologies and bias in research, and when and where to seek expertise.
MCGILL complete current official course definitionStudents work in interdisciplinary seminar groups on challenging philosophical, ethical, scientific and practical issues. They will explore cutting-edge ideas and grapple with the reconciliation of environmental imperatives and social, political and economic pragmatics. Activities include meeting practitioners, attending guest lectures, following directed readings, and organizing, leading and participating in seminars.
MCGILL complete current official course definitionStudents work in an interdisciplinary team on a real-world research project involving problem definition, methodology development, social, ethical and environmental impact assessment, execution of the study, and dissemination of results to the research community and to the people affected. Teams begin defining their projects during the preceding summer.
MCGILL complete current official course definitionResearch projects will be developed by instructors in consultation with Panamanian universities, government agencies and non-governmental organizations. Project groups will consist of four to six students working with a Panamanian institution. Topics will be relevant to Panama: e.g., protection of the Canal watershed, economical alternatives to deforestation, etc.
MCGILL complete current official course definitionA research project that is supervised by McGill academic staff and is conducted in collaboration with local partners. The project topic must relate to the field of sustainability relating to the Caribbean or Barbados specifically.
MCGILL complete current official course definitionThe introductory course for Economics Major students in microeconomic theory. In depth and critical presentation of the theory of consumer behaviour, theory of production and cost curves, theory of the firm, theory of distribution, welfare economics and the theory of general equilibrium.
MCGILL complete current official course definitionSee ECON 230D1 for course description.
MCGILL complete current official course definitionTopics include: Malthusian and Ricardian Scarcity; optimal depletion of renewable and non-renewable resources; exploration, risk and industry structure, and current resources, rent and taxation. Current public policies applied to the resource industries, particularly those of a regulatory nature.
MCGILL complete current official course definitionElementary crystallography, chemistry and identification of the principal rock-forming and ore minerals, in hand specimens and using optical microscopy. Demonstrations of other techniques applied to the identification of minerals and to the analysis of their composition and structure. Optional 2-day field trip.
MCGILL complete current official course definitionA survey of igneous, sedimentary and metamorphic rocks and the processes responsible for their formation. The laboratory will emphasize the recognition of rocks in both hand-specimen and thin section using optical microscopes.
MCGILL complete current official course definitionBasic concepts in geochemistry and the quantitative application of principles of chemistry to geological subdisciplines using simple scripts in Matlab. Particular emphasis on the thermodynamics and kinetics of reactions on Earth and other planets, controls on elemental distribution, stable and radiogenic isotopes, and water chemistry. Application of phase diagrams to geology.
MCGILL complete current official course definitionLectures and field-based exercises, held locally on campus and in the Montreal area, introduce students to the reading and interpretation of a topographic map, the basic description of a stratigraphic section and the inference of its depositional environment, the nature of intrusive contacts, and the field measurement of some structural features and geophysical properties. Students plot geological information on a map, identify landforms in aerial views and learn the tectonic features diagnostic of plate margins. By the end of the course, the students relate a geological map to the geological history of Quebec.
MCGILL complete current official course definitionMeasures of central tendency and dispersion; binomial and Poisson distributions; normal, chi-square, Student's t and Fisher-Snedecor F distributions; estimation and hypothesis testing; simple linear regression and correlation; analysis of variance for simple experimental designs.
MCGILL complete current official course definitionExploratory data analysis, univariate descriptive and inferential statistics, non-parametric statistics, correlation and simple regression. Problems associated with analysing spatial data such as the 'modifiable areal unit problem' and spatial autocorrelation. Statistics measuring spatial pattern in point, line and polygon data.
MCGILL complete current official course definitionExamples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
MCGILL complete current official course definitionThe role of resources in the environment, use of resources, and management of economic resources within the firm or organization. Problem-solving, case studies involving private and public decision-making in organizations are utilized.
MCGILL complete current official course definitionA university-level introduction to national income determination, money and banking, inflation, unemployment and economic policy.
MCGILL complete current official course definitionThe course analyzes the structure, conduct, and performance of industries, particularly but not exclusively in Canada. Topics include effects of mergers, barriers to entry, product line and promotion policies, vertical integration, and R & D policies of firms.
MCGILL complete current official course definitionMicroeconomic theories of economic development and empirical evidence on population, labour, firms, poverty. Inequality and environment.
MCGILL complete current official course definitionMacroeconomic development issues, including theories of growth, public finance, debt, currency crises, corruption, structural adjustment, democracy and global economic organization.
MCGILL complete current official course definitionMacroeconomic and structural aspects of the ecological crisis. A course in which subjects discussed include the conflict between economic growth and the laws of thermodynamics; the search for alternative economic indicators; the fossil fuels crisis; and "green'' fiscal policy.
MCGILL complete current official course definitionThe course focuses on the economic implications of, and problems posed by, predictions of global warming due to anthropogenic emissions of greenhouse gases. Attention is given to economic policies such as carbon taxes and tradeable emission permits and to the problems of displacing fossil fuels with new energy technologies.
MCGILL complete current official course definitionTheoretical and empirical economic analysis of the public sector with an emphasis on public goods and government spending. Study of Canadian institutions in international perspective.
MCGILL complete current official course definitionTheoretical and empirical economic analysis of the public sector with an emphasis on taxation. Study of Canadian institutions in international perspective.
MCGILL complete current official course definitionThis course gives students a broad overview of the economics of developing countries. The course covers micro and macro topics, with particular emphasis on the economic analysis at the micro level.
MCGILL complete current official course definitionInterdisciplinary study of the short-term and long-term interactions between economic activity, energy usage and the environment. Implications of rising fossil fuels usage for environmental damage and its consequences for the future. The political economy of energy in national politics and international relations; the interface of energy and financial flows; the challenge of globally managing toxic residues.
MCGILL complete current official course definitionA course in cost benefit analysis for graduate and advanced undergraduate students.
MCGILL complete current official course definitionPrinciples and practice of Environmental Assessment (EA) in Canada and internationally. Exploration of issues surrounding impact assessment for sustainable development in different sectors, including their limitations.
MCGILL complete current official course definitionApplied and experience-based learning opportunities are employed to critically assess Montreal as a sustainable city through research, discussion, and field trips. The urban environment is considered through various specific dimensions, ranging from: waste, energy, urban agriculture, green spaces and design, or transportation.
MCGILL complete current official course definitionContrast theory and practice in defining agricultural environmental "challenges" in the Neotropics. Indigenous and appropriate technological means of mitigation. Soil management and erosion, water scarcity, water over-abundance, and water quality. Explore agro-ecosystem protection via field trips and project designs. Institutional context of conservation strategies, NGO links, and public participation.
MCGILL complete current official course definitionInstruction focuses on three goals: 1) existing research in selected core thematic areas, 2) participating in interdisciplinary team research, 3) developing powers of observation and independent inquiry. Students will be expected to develop research activities and interdisciplinary perspectives, and to become conversant with advances in local research in their field.
MCGILL complete current official course definitionBiodiversity loss and the measure of ecological integrity of ecosystems, patterns of diversification and evolution of terrestrial and oceanic biotas in the Caribbean.
MCGILL complete current official course definitionDevelopment of observation and independent inquiry skills through: 1) participation in short-term project modules in collaboration with existing researchers; 2) participation in interdisciplinary team research on topics selected to allow comparative analysis of field sites; 3) active and systematic observation, documentation, and integration of field experience in ecology and development issues.
MCGILL complete current official course definitionEcology revisited in view of tropical conditions. Exploring species richness. Sampling and measuring biodiversity. Conservation status of ecosystems, communities and species. Indigenous knowledge.
MCGILL complete current official course definitionExploring the impact of environmental chemicals on biological organisms in an ecological context. Basic topics in ecotoxicology, such as source and fate, routes of exposure, bioavailability, dose-response, biomarkers, and risk assessment will be covered from both theoretical and applied perspectives. The processes by which pollutants are tested, regulated, and monitored will be critically examined.
MCGILL complete current official course definitionApplications of Geographic Information Systems (GIS) and spatial analysis techniques to the presentation and analysis of ecological information, including sources and capture of spatial data; characterizing, transforming, displaying spatial data; and spatial analysis to solve resource management problems.
MCGILL complete current official course definitionThis course will focus on the role of place and history in the cities in which we live and in our understanding of sustainability. Each year, students will work to develop a historical reconstruction of the natural environment of Montreal and of its links to the cultural landscape, building on the work of previous cohorts of students.
MCGILL complete current official course definitionThe basic concepts and calculations needed to quantitatively understand the geochemical processes occurring between minerals and waters in Earth’s near-surface environment. The important concepts of thermodynamics and kinetics will be exemplified using examples that concentrate on reactions between minerals and water and their impact on the environment.
MCGILL complete current official course definitionTwo week field studies in selected branches of the geosciences.
MCGILL complete current official course definitionTwo week field studies in selected branches of the geosciences to examine processes in geology.
MCGILL complete current official course definitionThe origin, classification, diagenesis and economic importance of sedimentary rocks. The physical properties of sedimentary rocks, the processes by which sediments are transported and deposited, and the environments in which they accumulate. Introduction to techniques for describing and analyzing sedimentary rocks in thin section, hand specimen, and on the outcrop.
MCGILL complete current official course definitionA systematic review of the nature and origin of the major types of metallic and non-metallic mineral deposits; typical occurrences; geographic distribution; applications to exploration. Emphasis on magmatic ores, massive sulfides, iron formations.
MCGILL complete current official course definitionThe theory and application of stable and radioactive isotope measurements in the Earth and environmental sciences, including applications in geology, hydrology, climatology, biogeochemistry, and ecology.
MCGILL complete current official course definitionIntroduction to groundwater flow through porous media. Notions of fluid potential and hydraulic head. Darcy flux and Darcy's Law. Physical properties of porous media and their measurement. Equation of groundwater flow. Flow systems. Hydraulics of pumping and recharging wells. Notions of hydrology. Groundwater quality and contamination. Physical processes of contaminant transport.
MCGILL complete current official course definitionSeminar course devoted to field case studies that illustrate the applications of geochemical principles to solving geologic problems. Each student will prepare and lead a class devoted to a geochemical subject of their own choosing.
MCGILL complete current official course definitionAn introduction to Geographic Information Systems. The systematic management of spatial data. The use and construction of maps. The use of microcomputers and software for mapping and statistical work. Air photo and topographic map analyses.
MCGILL complete current official course definitionAn ecological analysis of the physical and biotic components of natural resource systems. Emphasis on scientific, technological and institutional aspects of environmental management. Study of the use of biological resources and of the impact of individual processes.
MCGILL complete current official course definitionDiscussion of the major properties of soils; soil formation, classification and mapping; land capability assessment; the role and response of soils in natural and disturbed environments (e.g. global change, ecosystem disturbance).
MCGILL complete current official course definitionQuantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
MCGILL complete current official course definitionThree intersecting components: 1) core development themes including culture change, environmental conservation, water, health, development (urban and rural), governance and conflict resolution, 2) research techniques for topics related to core themes, including ethics, risk, field methods and data analysis, 3) field documentation, scientific recording and communication.
MCGILL complete current official course definitionThe extraction of energy resources, i.e. coal, gas, oil and tar sands. After a brief geological review, different extraction techniques for these substances will be discussed. Emphasis on problems such as northern mining and offshore oil extraction with reference to Canadian operations. Transportation and marketing.
MCGILL complete current official course definitionDevelopment of observation and independent inquiry skills through: 1) participation in short-term project modules in collaboration with existing researchers; 2) participation in interdisciplinary team research on topics selected to allow comparative analysis of field sites; 3) active and systematic observation, documentation, and integration of field experience in ecology and development issues.
MCGILL complete current official course definitionInteractions between Earth's various geologic systems and how these interactions lead to mineral and rock formation. Geomorphic processes and how various landforms are created by the interactions at the Earth's surface between the various geologic systems.
MCGILL complete current official course definitionPlant nutrients in the soil, influence of soil properties on nutrient absorption and plant growth, use of organic and inorganic fertilizers.
MCGILL complete current official course definitionSoil processes responsible for soil formation will be studied and the impact of changes to the physical and chemical environment will be discussed.
MCGILL complete current official course definitionExploration of the unique soil habitat for organisms with a focus on the variables that affect the abundance, diversity and interactions of soil biota and, in turn, their influence on soil physicochemical properties, biogeochemical cycles and other factors impacting ecosystem sustainability. Topics include survey of soil fauna, soil food webs, microbial ecology, biological carbon and nitrogen cycling, plant-soil interactions, and the effects of human activities and management on soil ecology, including synthesizing concepts and a critical analysis and interpretation of primary scientific literature in soil ecology.
MCGILL complete current official course definitionChemistry
Published required and complementary course choices for the 66-credit Chemistry: Biophysical Chemistry Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 66 credits for this program; faculty-wide degree and foundation requirements apply separately.
An introduction to molecular and cell biology from a physical perspective. Techniques and methodologies, both experimental and computational, are included in the presentation of each thematic module.
MCGILL complete current official course definitionEmerging physical approaches and quantitative measurement techniques are providing new insights into longstanding biological questions. This course will present underlying physical theory, quantitative measurement techniques, and significant findings in molecular and cellular biophysics. Principles covered include Brownian motion, low Reynolds-number environments, forces relevant to cells and molecules, chemical potentials, and free energies. These principles are applied to enzymes as molecular machines, membranes, DNA, and RNA.
MCGILL complete current official course definitionOverview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionThis interdisciplinary course introduces Statistical Physics illustrated with modern biophysical applications. Principles covered include partition functions, Boltzmann distribution, bosons, fermions, Bose Einstein condensates, Ferni gases, chemical potential, thermodynamical forces, biochemical kinetics, and an introduction to noise and phase transitions in biology.
MCGILL complete current official course definitionThermodynamics. Topics include gas laws, kinetic theory of collisions, heat capacity, enthalpy, thermochemistry, bond energies, the entropy and free energy functions, absolute entropies, Maxwell relations and chemical and thermodynamic equilibrium states, phase rule and phase diagrams, ideal solutions, colligative properties, solubility, electrochemistry, Debye-Hückel Theory.
MCGILL complete current official course definitionQualitative and quantitative analysis. A survey of methods of analysis including theory and practice of semimicro qualitative analysis and representative gravimetric, volumetric and instrumental methods. The laboratory component includes introductory experiments in analytical chemistry emphasizing classical and instrumental methods of quantitative analysis.
MCGILL complete current official course definitionKinetics: Transition State Theory, complex reactions, free-radical reactions, chain reactions, catalysis, reactions at surfaces, ionic effects of reactions in solution, photochemistry. Methods: physical chemistry laboratory, differential equations and linear algebra applied to physical chemistry, computation methods for data analysis and modeling
MCGILL complete current official course definitionBasic concepts of electronic structure and molecular bonding will be developed and applied to the understanding of common materials. Acid-base chemistry. Survey of the chemistry of the main group elements. Introduction to coordination and organometallic chemistry.
MCGILL complete current official course definitionAn introduction to quantum chemistry covering the historical development, wave theory, methods of quantum mechanics, and applications of quantum chemistry.
MCGILL complete current official course definitionA survey of the principles of electronic, vibrational and rotational spectroscopy. Magnetic resonance and computational methods.
MCGILL complete current official course definitionAn introduction to modern instrumental analysis emphasizing chromatography, atomic spectroscopy and computational data analysis. Analytical methods to be examined in detail include gas-liquid and high performance liquid chromatography, LC mass spectrometry, and common methods of atomic determinations using flames/furnaces/plasma sources.
MCGILL complete current official course definitionSpectroscopic methods of analysis will be studied with respect to fundamentals, operational aspects and instrument design. Topics will range from UV-visible to x-ray spectrometry. Methodologies will be evaluated with respect to their application in spectrometric systems. Laboratory automation will be studied and applied in the laboratory.
MCGILL complete current official course definitionSelected experiments to illustrate more advanced physico-chemical principles.
MCGILL complete current official course definitionProperties of electromagnetic fields, dipole and quadropole fields and their interactions, chemical binding of molecules, electromagnetic properties of materials, Maxwell's equations and properties of electromagnetic waves, propagation of waves in media.
MCGILL complete current official course definitionTopics covered may include the following: Aromatic compounds, heterocyclic chemistry, sulfur and phosphorus chemistry, organosulfur and organophosphorus compounds, and biomolecules such as lipids, carbohydrates, amino acids, polypeptides, DNA and RNA.
MCGILL complete current official course definitionIntroduction to transition metal chemistry, coordination numbers and geometry, and nomenclature will be followed by a discussion of crystal field theory and its applications to problems in spectroscopy, magnetochemistry, thermodynamics and kinetics. Several aspects related to applications of organometallic compounds in catalysis and bioinorganic systems will be discussed.
MCGILL complete current official course definitionA survey of current knowledge and approaches in the area of regulation of gene expression, post-transcriptional control of gene expression, and signal transduction.
MCGILL complete current official course definitionAn introduction to biology research and communication with a focus on cell and molecular biology. Through conducting a series of project-based experiments and writing a final report, molecular and synthetic biology techniques such as gene cloning, manipulation, protein isolation and characterization and how research is conducted, analyzed and communicated will be addressed. In addition, an introduction to bioinformatics methods and their role in analysis will be provided.
MCGILL complete current official course definitionThe course focuses on biomembranes and subcellular organelles and their implications for disease. The topics include: protein and lipid biochemistry, membrane structure and transport; intracellular compartmentalization, protein sorting and modification, intracellular membrane trafficking; energy transfer, organization and dynamics of chloroplasts and mitochondria; extracellular matrix and cell walls.
MCGILL complete current official course definitionFundamental principles of cellular control, with cell cycle control as a major theme. Biological and physical concepts are brought to bear on control in healthy cells..
MCGILL complete current official course definitionThis course will cover biologically relevant molecules, particularly nucleic acids, proteins, and their building blocks. In each case, synthesis and biological functions will be discussed. The topics include synthesis of oligonucleotides and peptides; chemistry of phosphates; enzyme structure and function; coenzymes, and enzyme catalysis; polyketides; antiviral and anticancer agents.
MCGILL complete current official course definitionPhysical chemistry concepts needed to understand the function of biological systems at the molecular level, including the structure, stability, transport, and interactions of biological macromolecules.
MCGILL complete current official course definitionAn overview of advanced techniques at the leading edge of Chemical Biology, including some or all of: biological imaging, kinetics of enzyme inhibition, combinatorial synthesis, atomic force microscopy of biological molecules, self assembling biomimetic structures, oligonucleotide therapeutics, biomolecular X-ray crystallography, computational methods, and nuclear magnetic resonance applied to protein interactions.
MCGILL complete current official course definitionThe fundamental principles underlying Nuclear magnetic resonance (NMR), Electron Paramagnetic resonance (EPR) and Magnetic Resonance Imaging (MRI) will be covered and applied to biomolecules and materials chemistry. Topics include multidimensional spectra, molecular dynamics, the density matrix, and the product operator formalism.
MCGILL complete current official course definitionKinetic laws, measurement of reaction rates, transition state and collision theory, experimental techniques in reaction kinetics, reaction mechanisms, RRKM theory, Marcus theory of electron transfer, photochemistry and catalysis. Recent developments and their application to chemical and biological problems. Elementary reactions in gas, solution and solid phases and on surfaces.
MCGILL complete current official course definitionProgramming and problem solving in a high level computer language: variables, expressions, types, functions, conditionals, loops, objects and classes. Introduction to algorithms such as searching and sorting. Modular software design, libraries, file input and output, debugging. Emphasis on applications in Physical Sciences and Engineering, such as root finding, numerical integration, diffusion, Monte Carlo methods.
MCGILL complete current official course definitionPhysics
Published required and complementary course choices for the 82-credit Physics: Biological Physics Major (B.Sc.). This is a program within the degree, not the complete degree or a term-by-term timetable. Some requirements specify course levels or subjects rather than naming courses. 82 credits for this program; faculty-wide degree and foundation requirements apply separately.
An introduction to molecular and cell biology from a physical perspective. Techniques and methodologies, both experimental and computational, are included in the presentation of each thematic module.
MCGILL complete current official course definitionOverview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology.
MCGILL complete current official course definitionA fundamental study of aliphatic compounds and saturated functional groups including modern concepts of bonding, reaction mechanisms, conformational analysis, spectroscopy, and stereochemistry.
MCGILL complete current official course definitionTaylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
MCGILL complete current official course definitionReview of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
MCGILL complete current official course definitionFirst order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
MCGILL complete current official course definitionSample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
MCGILL complete current official course definitionEmerging physical approaches and quantitative measurement techniques are providing new insights into longstanding biological questions. This course will present underlying physical theory, quantitative measurement techniques, and significant findings in molecular and cellular biophysics. Principles covered include Brownian motion, low Reynolds-number environments, forces relevant to cells and molecules, chemical potentials, and free energies. These principles are applied to enzymes as molecular machines, membranes, DNA, and RNA.
MCGILL complete current official course definitionThis interdisciplinary course introduces Statistical Physics illustrated with modern biophysical applications. Principles covered include partition functions, Boltzmann distribution, bosons, fermions, Bose Einstein condensates, Ferni gases, chemical potential, thermodynamical forces, biochemical kinetics, and an introduction to noise and phase transitions in biology.
MCGILL complete current official course definitionIntroduction to basic principles, and to modern advances, problems and applications in the genetics of higher and lower organisms with examples representative of the biological sciences.
MCGILL complete current official course definitionDerivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
MCGILL complete current official course definitionTranslational motion under Newton's laws; forces, momentum, work/energy theorem. Special relativity; Lorentz transforms, relativistic mechanics, mass/energy equivalence. Topics in rotational dynamics. Noninertial frames.
MCGILL complete current official course definitionThe laws of thermodynamics and their consequences. Thermodynamics of P-V-T systems and simple heat engines. Free, driven, and damped harmonic oscillators. Coupled systems and normal modes. Fourier methods. Wave motion and dispersion. The wave equation.
MCGILL complete current official course definitionLinear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits.
MCGILL complete current official course definitionIntroductory laboratory work and data analysis as related to mechanics, optics and thermodynamics. Introduction to computers as they are employed for laboratory work, for data analysis and for numerical computation. Previous experience with computers is an asset, but is not required.
MCGILL complete current official course definitionAdvanced laboratory work and data analysis as related to mechanics, optics and thermodynamics. Computers will be employed routinely for data analysis and for numerical computation, and, particularly, to facilitate the use of Fourier methods.
MCGILL complete current official course definitionThe electrostatic field and scalar potential. Dielectric properties of matter. Energy in the electrostatic field. Methods for solving problems in electrostatics. The magnetic field. Induction and inductance. Energy in the magnetic field. Magnetic properties of matter. Maxwell's equations. The dipole approximation.
MCGILL complete current official course definitionMaxwell's equations. The wave equation. The electromagnetic wave, reflection, refraction, polarization. Guided waves. Transmission lines and wave guides. Vector potential. Radiation. The elemental dipole; the half-wave dipole; vertical dipole; folded dipoles; Yagi antennas. Accelerating charged particles.
MCGILL complete current official course definitionDe Broglie waves, Bohr atom. Schroedinger equation, wave functions, observables. One dimensional potentials. Schroedinger equation in three dimensions. Angular momentum, hydrogen atom. Spin, experimental consequences.
MCGILL complete current official course definitionA supervised research project.
MCGILL complete current official course definitionAn advanced biophysics course, with a special emphasis on stochastic and out of equilibrium physical processes in living matter.
MCGILL complete current official course definitionIntroduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics.
MCGILL complete current official course definitionObject oriented programming in Java: classes and objects, interfaces, inheritance. Data structures and abstract data types: arrays, stacks, queues, linked lists, trees, binary trees,binary search trees, heaps, hash tables, graphs. Recursive and non-recursive algorithms and their asymptotic complexity: searching and sorting, tree and graph traversal. Mathematical tools: induction, recurrence relations.
MCGILL complete current official course definitionSemiconductor devices, basic transistor circuits, operational amplifiers, combinatorial and sequential logic, integrated circuits, analogue to digital converters. The laboratory component covers design, construction and testing of basic electronic circuits.
MCGILL complete current official course definitionForced and damped oscillators, Newtonian mechanics in three dimensions, rotational motion, Lagrangian and Hamiltonian mechanics, small vibrations, normal modes. Nonlinear dynamics and chaos.
MCGILL complete current official course definitionIntroduction to modern techniques of measurement. The use of computers in performing and analysing experiments. Data reduction, statistical methods, report writing. Extensive use of computers is made in this laboratory; therefore some familiarity with computers and computing is an advantage.
MCGILL complete current official course definitionAdvanced level experiments in physics including quantum effects and some properties of condensed matter physics and modern physics.
MCGILL complete current official course definitionAdvanced level experiments in physics including quantum effects and some properties of condensed matter physics and modern physics.
MCGILL complete current official course definitionPhysical chemistry concepts needed to understand the function of biological systems at the molecular level, including the structure, stability, transport, and interactions of biological macromolecules.
MCGILL complete current official course definitionThe formulation and treatment of realistic mathematical models describing biological phenomena through qualitative and quantitative mathematical techniques (e.g. local and global stability theory, bifurcation analysis and phase plane analysis) and numerical simulation. Concrete and detailed examples will be drawn from molecular and cellular biology and mammalian physiology.
MCGILL complete current official course definitionAn introduction to quantitative analysis of physiological data, both to the mode of thinking and to a set of tools that allows accurate predictions of biological systems. Examples will range from oscillating genetic networks to understanding higher brain function. Modelling and data analysis through examples and exercises will be emphasized.
MCGILL complete current official course definitionThe physical properties of fluids. The kinematics and dynamics of flow. The effects of viscosity and turbulence. Applications of fluid mechanics in biophysics, geophysics and engineering.
MCGILL complete current official course definitionFundamental concepts of optics, including applications and modern developments. Light propagation in media; geometric optics and optical instruments; polarization and coherence properties of light; interference and interferometry; diffraction theory and applications in spectrometry and imaging; Gaussian beams, Fourier optics and photonic band structure. A laboratory component provides hands-on experience in optical setup design, construction and testing of concepts introduced in lectures.
MCGILL complete current official course definitionAngular momentum and spin, identical particles, multi-electron atoms, perturbation theory, radiation. Selected applications from condensed matter, nuclear and elementary particle physics.
MCGILL complete current official course definitionA survey of current knowledge and approaches in the area of regulation of gene expression, post-transcriptional control of gene expression, and signal transduction.
MCGILL complete current official course definitionAn introduction to biology research and communication with a focus on cell and molecular biology. Through conducting a series of project-based experiments and writing a final report, molecular and synthetic biology techniques such as gene cloning, manipulation, protein isolation and characterization and how research is conducted, analyzed and communicated will be addressed. In addition, an introduction to bioinformatics methods and their role in analysis will be provided.
MCGILL complete current official course definitionA consideration of the fundamental processes and principles operating during embryogenesis. Experimental analyses at the molecular, cellular, and organismal levels will be presented and discussed to provide an overall appreciation of developmental phenomena.
MCGILL complete current official course definitionNeural mechanisms of animal behaviour; neuroethology; cellular neurophysiology, integrative networks within nervous systems; neural control of movement; processing of sensory information.
MCGILL complete current official course definitionIn-depth examination of the structure and function of eukaryotic cells, with an emphasis on experimental design and interpretation. Examination of the molecular mechanisms of various cellular processes, including protein homeostasis, intracellular transport, cytoskeletal dynamics, multicellular organization and cell proliferation.
MCGILL complete current official course definitionThe course focuses on biomembranes and subcellular organelles and their implications for disease. The topics include: protein and lipid biochemistry, membrane structure and transport; intracellular compartmentalization, protein sorting and modification, intracellular membrane trafficking; energy transfer, organization and dynamics of chloroplasts and mitochondria; extracellular matrix and cell walls.
MCGILL complete current official course definitionFundamental principles of cellular control, with cell cycle control as a major theme. Biological and physical concepts are brought to bear on control in healthy cells..
MCGILL complete current official course definitionThe university publishes these career examples. They are not employment rates or guaranteed outcomes. Professional, clinical and specialist roles may require further education, registration or experience.
Faculty of Science Chemistry option within the Physical, Earth, Math and Computer Sciences group. This source is the Science Chemistry degree, not an Engineering minor or a claim about every physical-science programme.
Bachelor of Science (BSc)
2026–27 · Typical annual example · Fall + winter · 30 credits · CAD
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Tuition only · Summer credits and ancillary fees extra
Housing and meals are outside this estimate.
Books use the university-wide budget.
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