Major Physiology and Mathematics

Offered by: Physiology     Degree: Bachelor of Science

Program Requirements

Required Courses (70 credits)

Bio-Physical Sciences Core

• BIOL 219 Introduction to Physical Molecular and Cell Biology (4 credits)

  Offered by: Biology (Faculty of Science)

  Overview

  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.

  Terms: Fall 2022

  Instructors: Hendricks, Adam; Watt, Alanna; Reyes Lamothe, Rodrigo; Weber, Stephanie (Fall)

  • 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.

• BIOL 395 Quantitative Biology Seminar (1 credit)

  Offered by: Biology (Faculty of Science)

  Overview

  Biology (Sci) : Overview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology.

  Terms: Fall 2022

  Instructors: Hayer, Arnold; Francois, Paul; Kleinman, Claudia; Oeffinger, Marlene; Ehrlicher, Allen; Hendricks, Michael; Bui, Khanh Huy; Weber, Stephanie; Reznikov, Natalie; Gerhold, Abigail (Fall)

  • Fall

  • Prerequisites: BIOL 219; or BIOL 200 plus BIOL 201 or ANAT 212 or BIOC 212; CHEM 212; COMP 202 or COMP 204 or COMP 250; MATH 222; or permission of instructor.

  • Restriction: Only open to U2 students in the following programs: B.Sc.; Major and Honours in Biology; Quantitative Biology, B.Sc.; Major and Honours Computer Science and Biology, B.Sc.; Major Biology and Mathematics, B.Sc.; Major Physiology and Mathematics, B.Sc.; Major Physiology and Physics, B.Sc.; Major and Honours Chemistry; Biophysical Chemistry, and B.Sc.; Major and Honours Physics; Biological Physics.

• MATH 222 Calculus 3 (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Fall 2022, Winter 2023, Summer 2023

  Instructors: Paquette, Elliot; Wrobel, Konrad (Fall) Trudeau, Sidney (Winter)

  • 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.

• MATH 223 Linear Algebra (3 credits) *

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Fall 2022, Winter 2023

  Instructors: Macdonald, Jeremy; Pichot, Michael (Fall) Macdonald, Jeremy (Winter)

  • 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

• MATH 247 Honours Applied Linear Algebra (3 credits) *

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Winter 2023

  Instructors: Jakobson, Dmitry (Winter)

  • 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

• MATH 315 Ordinary Differential Equations (3 credits) **

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.

  Terms: Fall 2022, Winter 2023, Summer 2023

  Instructors: Berk, Aaron (Fall) Bélanger-Rioux, Rosalie (Winter)

  • Prerequisite: MATH 222.

  • Corequisite: MATH 133.

  • Restriction: Not open to students who have taken or are taking MATH 325.

• MATH 323 Probability (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Fall 2022, Winter 2023, Summer 2023

  Instructors: Nadarajah, Tharshanna; Sajjad, Alia (Fall) Asgharian, Masoud; Sajjad, Alia (Winter)

  • 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

• MATH 325 Honours Ordinary Differential Equations (3 credits) **

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : First and second order equations, linear equations, series solutions, Frobenius method, introduction to numerical methods and to linear systems, Laplace transforms, applications.

  Terms: Winter 2023

  Instructors: Humphries, Tony (Winter)

  • Fall and Winter

  • (3-0-6)

  • Prerequisite: MATH 222.

  • Restriction: Intended for Honours Mathematics, Physics and Engineering programs.

  • Restriction: Not open to students who have taken MATH 263 (formerly MATH 261), MATH 315

* Students may take either MATH 223 or MATH 247.
** Students may take either MATH 315 or MATH 325.

Physiology and Mathematics Core

• BIOL 309 Mathematical Models in Biology (3 credits)

  Offered by: Biology (Faculty of Science)

  Overview

  Biology (Sci) : Application 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.

  Terms: Fall 2022

  Instructors: Bub, Gil (Fall)

  • Fall

  • 3 hours lecture

  • Prerequisites:BIOL 200, BIOL 201 (or ANAT 212/BIOC 212); or BIOL 219

• BMDE 519 Biomedical Signals and Systems (3 credits)

  Offered by: Biomedical Engineering (Faculty of Engineering)

  Overview

  Biomedical Engineering : An introduction to the theoretical framework, experimental techniques and analysis procedures available for the quantitative analysis of physiological systems and signals. Lectures plus laboratory work using the Biomedical Engineering computer system. Topics include: amplitude and frequency structure of signals, filtering, sampling, correlation functions, time and frequency-domain descriptions of systems.

  Terms: Fall 2022

  Instructors: Kearney, Robert E (Fall)

  • (3-0-6)

  • Prerequisites: Satisfactory standing in U3 Honours Physiology; or U3 Major in Physics-Physiology; or U3 Major Physiology-Mathematics; or permission of instructor

• MATH 242 Analysis 1 (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

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

  Terms: Fall 2022

  Instructors: Hundemer, Axel W (Fall)

  • Fall

  • Prerequisite: MATH 141

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

• MATH 243 Analysis 2 (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Definition 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.

  Terms: Winter 2023

  Instructors: Hundemer, Axel W (Winter)

  • Winter

  • Prerequisite: MATH 242 or MATH 254.

• MATH 248 Honours Vector Calculus (3 credits) ***

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  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.

  Terms: Fall 2022

  Instructors: Kamran, Niky (Fall)

  • 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.

• MATH 314 Advanced Calculus (3 credits) ***

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Derivative 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.

  Terms: Fall 2022, Winter 2023

  Instructors: Roth, Charles (Fall) Fortier, Jérôme (Winter)

  • Prerequisites: MATH 133, MATH 222

  • Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358.

• MATH 317 Numerical Analysis (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.

  Terms: Fall 2022

  Instructors: Lessard, Jean-Philippe (Fall)

  • Fall

  • Prerequisites: MATH 315 or MATH 325 or MATH 263, and COMP 202 or permission of instructor.

  • Restrictions: Not open to students who have taken COMP 350

• MATH 319 Partial Differential Equations (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems.

  Terms: Winter 2023

  Instructors: Bélanger-Rioux, Rosalie (Winter)

  • Winter

  • Prerequisites: MATH 223 or MATH 236, MATH 314 or equivalent, MATH 315

  • Not open to students who have taken or are taking MATH 475.

• MATH 324 Statistics (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

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

  Terms: Fall 2022, Winter 2023

  Instructors: Nadarajah, Tharshanna (Fall) Nadarajah, Tharshanna (Winter)

  • 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.

• MATH 326 Nonlinear Dynamics and Chaos (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Linear 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.

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