Undergraduate Prerequisites

Anatomy & Cell Biology: An introductory course describing the biochemistry and molecular biology of selected key functions of animal cells, including: gene expression; mitochondrial production of metabolic energy; cellular communication with the extra-cellular environment; and regulation of cell division.

Offered by: Anatomy and Cell Biology

• Winter
• Prerequisite: BIOL 200
• Restriction: This course is also listed as BIOC 212. Not open to students who have taken or are taking BIOC 212 or BIOL 201

• Terms
  • Winter 2025
• Instructors
  • Maria Vera Ugalde, Dieter Reinhardt, Marc R Fabian, Robert S Kiss, William Pastor

Bioengineering: 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.

Offered by: Bioengineering

• Corequisite(s): MATH 222 or equivalent
• Prerequisite(s): BIOL 112; CHEM 110 and CHEM 120; MATH 140, MATH 141 and MATH 133; PHYS 131 and PHYS 142; or the equivalents of these courses
• Restriction(s): Not open to students who have taken or are taking ANAT212, BIOC212, BIOL200, BIOL 201 and BIOL219. Only open to students in Bioengineering, Computer Science-Biology, Biology-Mathematics, BiologyQuantitative Biology, Chemistry-Biophysical Chemistry, and Physics-Biological Physics options.
• This course is meant to prepare students for related 300-level courses in Biology, Chemistry, Engineering, and Physics.

• Terms
  • Fall 2024
• Instructors
  • Adam G Hendricks, Alanna J Watt, Rodrigo Reyes Lamothe, Stephanie Weber

Biochemistry: An introductory course describing the biochemistry and molecular biology of selected key functions of animal cells, including: gene expression; mitochondrial production of metabolic energy; cellular communication with the extra-cellular environment; and regulation of cell division.

Offered by: Biochemistry

• Winter
• Prerequisite: BIOL 200
• Restrictions: A non-terminal course intended to be followed by BIOC 311; BIOC 312 in the U2 year. Not open to students who have taken or are taking BIOL 201 or ANAT 212.

• Terms
  • Winter 2025
• Instructors
  • Maria Vera Ugalde, Arnim Pause, Dieter Reinhardt, Lawrence Kazak, Katie Cockburn

Biology (Sci): 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.

Offered by: Biology

• Fall
• 3 hours lecture, 1 hour optional tutorial
• Prerequisite: BIOL 112 or equivalent
• Corequisite: CHEM 212 or equivalent, or CHEM 204

• Terms
  • Fall 2024
• Instructors
  • Kenneth E M Hastings, Paul Lasko, Shaun Turney, Rodrigo Reyes Lamothe, Serge Champetier

Biology (Sci): This 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.

Offered by: Biology

• Winter
• 3 hours lecture, 1 hour optional tutorial
• Prerequisite: BIOL 200.
• Restriction: Not open to students who have taken or are taking ANAT 212 or BIOC 212

• Terms
  • Winter 2025
• Instructors
  • Gary J Brouhard, Siegfried Hekimi, Huanquan Zheng, Serge Champetier

Biology (Sci): 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.

Offered by: Biology

• Prerequisite(s): BIOL 112; CHEM 110 and CHEM 120; MATH 140, MATH 141 and MATH 133; PHYS 131 and PHYS 142; or the equivalents of these courses.
• Corequisite(s): MATH 222 or equivalent
• Restriction(s): Not open to students who have taken or are taking ANAT 212, BIOC 212, BIOL 200, and BIOL 201, or BIEN 219. Only open to students in Bioengineering, Computer Science-Biology, Biology-Mathematics, Biology-Quantitative Biology, Chemistry-Biophysical Chemistry, and Physics-Biological Physics Options.
• This course is meant to prepare students for related 300-level courses in Biology, Chemistry, Engineering and Physics.

• Terms
  • Fall 2024
• Instructors
  • Stephanie Weber, Alanna J Watt, Rodrigo Reyes Lamothe, Adam G Hendricks

Physiology: Physiology of body fluids, blood, body defense mechanisms, muscle, peripheral, central, and autonomic nervous systems.

Offered by: Physiology

• Fall
• 3 hours lectures weekly
• Prerequisites: BIOL 112, CHEM 110, CHEM 120, PHYS 101 or PHYS 131, and PHYS 102 or PHYS 142. Pre-/co-requisites: BIOL 200, CHEM 212 or equivalent.
• Restriction: Not open to students who have taken PHGY 211 or students who are taking and who have taken NSCI 200.
• Restriction: For students in the Faculty of Science, and other students by permission of the instructor

• Terms
  • Fall 2024
• Instructors
  • Melissa A Vollrath, David S Ragsdale, Alvin Shrier, Erik P Cook, Céline Aguer

Physiology: Physiology of cardiovascular, respiratory, digestive, endocrine and renal systems.

Offered by: Physiology

• Winter
• 3 hours lectures weekly
• Prerequisites: BIOL 112, CHEM 110, CHEM 120, PHYS 101 or PHYS 131, and PHYS 102 or PHYS 142. Pre-/co-requisite: BIOL 200, BIOL 201, BIOC 212, CHEM 212 or equivalent.
• Restriction: For students in the Faculty of Science, and other students by permission of the instructor
• Although PHGY 210 may be taken without the prior passing of PHGY 209, students should note that they may have some initial difficulties because of lack of familiarity with some basic concepts introduced in PHGY 209

• Terms
  • Winter 2025
• Instructors
  • Melissa A Vollrath, Tomoko Takano, Anne-Marie Lauzon, John H White, Céline Aguer

Mathematics & Statistics (Sci): Examples 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).

Offered by: Mathematics and Statistics

• No calculus prerequisites
• Restriction: This course is intended for students in all disciplines. For extensive course restrictions covering statistics courses see Section 3.6.1 of the Arts and of the Science sections of the calendar regarding course overlaps.
• You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar. Students should consult http://www.mcgill.ca/students/transfercredit for information regarding transfer credits for this course.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Jose Andres Correa, David A Stephens
  • Alia Sajjad

Mathematics & Statistics (Sci): The 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.

Offered by: Mathematics and Statistics

• Winter
• Prerequisite: MATH 203 or equivalent. No calculus prerequisites
• Restriction: This course is intended for students in all disciplines. For extensive course restrictions covering statistics courses see Section 3.6.1 of the Arts and of the Science sections of the calendar regarding course overlaps.
• You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.

• Terms
  • Winter 2025
• Instructors
  • Tharshanna Nadarajah

Mathematics & Statistics (Sci): Taylor 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.

Offered by: Mathematics and Statistics

• Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
• Restriction: Not open to students who have taken MATH 150, MATH 151 or MATH 262.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Brent Pym, Damien Tageddine

Mathematics & Statistics (Sci): Review 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.

Offered by: Mathematics and Statistics

• Fall and Winter
• Prerequisite: MATH 133 or equivalent
• Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Shereen Elaidi, Hugues Bellemare
  • Jeremy D Macdonald

Mathematics & Statistics (Sci): Sets, 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.

Offered by: Mathematics and Statistics

• Fall
• 3 hours lecture; 1 hour tutorial
• Prerequisite: MATH 133 or equivalent
• Restrictions: Not open to students who have taken or are taking MATH 245.

• Terms
  • Fall 2024
• Instructors
  • Magid Sabbagh

Mathematics & Statistics (Sci): Linear 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.

Offered by: Mathematics and Statistics

• Winter
• Prerequisite: MATH 235

• Terms
  • Winter 2025
• Instructors
  • Jeremy D Macdonald

Mathematics & Statistics (Sci): Introduction 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.

Offered by: Mathematics and Statistics

• Fall and Winter
• Corequisite: MATH 133.
• Restriction: For students in any Computer Science, Computer Engineering, or Software Engineering programs. Others only with the instructor's permission. Not open to students who have taken or are taking MATH 235.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Jeremy D Macdonald, Marcel K Goh
  • Jérôme Fortier

Mathematics & Statistics (Sci): A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.

Offered by: Mathematics and Statistics

• Fall
• Prerequisite: MATH 141
• Restriction(s): Not open to students who are taking or who have taken MATH 254.

• Terms
  • Fall 2024
• Instructors
  • Dmitry Jakobson

Mathematics & Statistics (Sci): Matrix 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.

Offered by: Mathematics and Statistics

• Winter
• Prerequisite: MATH 133 or equivalent.
• Restriction: Intended for Honours Physics and Engineering students
• Restriction: Not open to students who have taken or are taking MATH 236, MATH 223 or MATH 251

• Terms
  • Winter 2025
• Instructors
  • Tim Hoheisel

Mathematics & Statistics (Sci): Partial derivatives and differentiation of functions in several variables; Jacobians; maxima and minima; implicit functions. Scalar and vector fields; orthogonal curvilinear coordinates. Multiple integrals; arc length, volume and surface area. Line and surface integrals; irrotational and solenoidal fields; Green's theorem; the divergence theorem. Stokes' theorem; and applications.

Offered by: Mathematics and Statistics

• Fall and Winter and Summer
• Prerequisites: MATH 133 and MATH 222 or consent of Department.
• Restriction: Intended for Honours Physics, Computer Science, Physiology and Engineering students.
• Restriction: Not open to students who have taken or are taking MATH 314 or MATH 358.

• Terms
  • Fall 2024
• Instructors
  • Jean Pierre Mutanguha

Mathematics & Statistics (Sci): Functions of a complex variable; Cauchy-Riemann equations; Cauchy's theorem and consequences. Taylor and Laurent expansions. Residue calculus; evaluation of real integrals; integral representation of special functions; the complex inversion integral. Conformal mapping; Schwarz-Christoffel transformation; Poisson's integral formulas; applications.

Offered by: Mathematics and Statistics

• Winter
• Prerequisite(s): MATH 248 or MATH 358 or equivalent.
• Restriction: Intended for Honours Physics and Engineering students
• Restriction: Not open to students who have taken or are taking MATH 316

• Terms
  • Winter 2025
• Instructors
  • Brent Pym

Mathematics & Statistics (Sci): Properties of R. Cauchy and monotone sequences, Bolzano- Weierstrass theorem. Limits, limsup, liminf of functions. Pointwise, uniform continuity: Intermediate Value theorem. Inverse and monotone functions. Differentiation: Mean Value theorem, L'Hospital's rule, Taylor's Theorem.

Offered by: Mathematics and Statistics

• Prerequisite(s): MATH 141
• Restriction(s): Not open to students who are taking or who have taken MATH 242.

• Terms
  • Fall 2024
• Instructors
  • Axel W Hundemer

Mathematics & Statistics (Sci): Series and power series, including Taylor's theorem. Brief review of vector geometry. Vector functions and curves. Partial differentiation and differential calculus for vector valued functions. Unconstrained and constrained extremal problems. Multiple integrals including surface area and change of variables.

Offered by: Mathematics and Statistics

• (3-1-5)
• Prerequisites: MATH 141, MATH 133 or equivalent.
• Restrictions: Open only to students in the Faculty of Engineering. Not open to students who are taking or have taken MATH 151, MATH 152, OR MATH 222.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Rosalie Bélanger-Rioux, Kodjo R Madou, Robin S Khanfir
  • Charles Roth

Mathematics & Statistics (Sci): First order ODEs. Second and higher order linear ODEs. Series solutions at ordinary and regular singular points. Laplace transforms. Linear systems of differential equations with a short review of linear algebra.

Offered by: Mathematics and Statistics

• (3-1-5)
• Corequisite: MATH 262.
• Restrictions: Open only to students in the Faculty of Engineering. Not open to students who are taking or have taken MATH 315 or MATH 325.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Gabriel Martine, Jessica Lin
  • Sidney Trudeau, Rosalie Bélanger-Rioux

Mathematics & Statistics (Sci): Review of multiple integrals. Differential and integral calculus of vector fields including the theorems of Gauss, Green, and Stokes. Introduction to partial differential equations, separation of variables, Sturm-Liouville problems, and Fourier series.

Offered by: Mathematics and Statistics

• (3-1-5)
• Prerequisite: MATH 262 or MATH 151 or MATH 152 or equivalent.
• Corequisite: MATH 263
• Restrictions: Open only to students in the Faculty of Engineering. Not open to students who are taking or have taken MATH 319 or MATH 475.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Charles Roth
  • Dmitry Jakobson

Mathematics & Statistics (Sci): Sample 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.

Offered by: Mathematics and Statistics

• Prerequisites: MATH 141 or equivalent.
• Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
• Restriction: Not open to students who have taken or are taking MATH 356

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Alia Sajjad
  • Tharshanna Nadarajah

Mathematics & Statistics (Sci): Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.

Offered by: Mathematics and Statistics

• Fall and Winter
• Prerequisite: MATH 323 or equivalent
• Restriction: Not open to students who have taken or are taking MATH 357
• You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Tharshanna Nadarajah
  • Masoud Asgharian

Psychology: The statistical analysis of research data; frequency distributions; graphic representation; measures of central tendency and variability; elementary sampling theory and tests of significance.

Offered by: Psychology

• Fall and Winter
• Restriction: Not open to students who have passed a CEGEP statistics course(s) with a minimum grade of 75%: Mathematics 201-307 or 201-337 or equivalent or the combination of Quantitative Methods 300 with Mathematics 300
• This course is a prerequisite for PSYC 305, PSYC 406, PSYC 310, PSYC 336
• You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Jens Kreitewolf
  • Jens Kreitewolf

Psychology: An introduction to the design and analysis of experiments, including analysis of variance, planned and post hoc tests and a comparison of anova to correlational analysis.

Offered by: Psychology

• Fall and Winter
• Prerequisite: PSYC 204 or equivalent
• This course is required of all students who propose to enter an Honours or Major program in Psychology
• You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.

• Terms
  • Fall 2024
  • Winter 2025
• Instructors
  • Carl F Falk
  • Milica Miocevic, Jens Kreitewolf