![important](/study/2022-2023/files/study.2022-2023/exclamation-point-small.png)
Note: This is the 2023–2024 eCalendar. Update the year in your browser's URL bar for the most recent version of this page, or .
Note: This is the 2023–2024 eCalendar. Update the year in your browser's URL bar for the most recent version of this page, or .
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 2023
Instructors: Hendricks, Adam; Watt, Alanna; Reyes Lamothe, Rodrigo (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.
Biology (Sci) : Overview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology.
Terms: Fall 2023
Instructors: Hayer, Arnold; Wiseman, Paul; Hendry, Andrew; Guichard, Frederic; Fussmann, Gregor; Leung, Brian; Abouheif, Ehab; Kleinman, Claudia; Oeffinger, Marlene; Hendricks, Michael (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.
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 2023, Winter 2024, Summer 2024
Instructors: Sabok, Marcin; Allen, Patrick (Fall) Trudeau, Sidney (Winter) Bibby, Sean (Summer)
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 2023, Winter 2024
Instructors: Kelome, Djivede; Pichot, Mikael (Fall) Pichot, Mikael (Winter)
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 2024
Instructors: Hoheisel, Tim (Winter)
Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Terms: Fall 2023, Winter 2024
Instructors: Hurtubise, Jacques Claude (Fall) Bélanger-Rioux, Rosalie (Winter)
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 2023, Winter 2024, Summer 2024
Instructors: Sajjad, Alia; Nadarajah, Tharshanna (Fall) Sajjad, Alia; Nadarajah, Tharshanna (Winter) Kelome, Djivede (Summer)
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 2024
Instructors: Humphries, Tony (Winter)
* Students may take either MATH 223 or MATH 247.
** Students may take either MATH 315 or MATH 325.
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 2023
Instructors: Bub, Gil (Fall)
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 2023
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
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 2023
Instructors: Hundemer, Axel W (Fall)
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 2024
Instructors: Hundemer, Axel W (Winter)
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 2023
Instructors: Kamran, Niky (Fall)
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 2023, Winter 2024
Instructors: Toth, John A (Fall) Allen, Patrick (Winter)
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 2023
Instructors: Gantumur, Tsog (Fall)
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 2024
Instructors: Guan, Pengfei (Winter)
Mathematics & Statistics (Sci) : Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Terms: Fall 2023, Winter 2024
Instructors: Nadarajah, Tharshanna (Fall) Russell, Oliver (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.
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.
Terms: Fall 2023
Instructors: Humphries, Tony (Fall)
Mathematics & Statistics (Sci) : The 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.
Terms: Winter 2024
Instructors: Khadra, Anmar (Winter)
Physiology : Physiology of body fluids, blood, body defense mechanisms, muscle, peripheral, central, and autonomic nervous systems.
Terms: Fall 2023
Instructors: Aguer, Céline; Vollrath, Melissa; Ragsdale, David S; Shrier, Alvin; Cook, Erik (Fall)
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
Physiology : Physiology of cardiovascular, respiratory, digestive, endocrine and renal systems.
Terms: Winter 2024
Instructors: Aguer, Céline; Vollrath, Melissa; Takano, Tomoko; Lauzon, Anne-Marie; White, John H; Bub, Gil (Winter)
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
Physiology : Exercises illustrating fundamental principles in physiology: Biological Signals Acquisitions, Blood, Immunology, Neurophysiology, Neuromuscular Physiology.
Terms: Fall 2023
Instructors: Vollrath, Melissa; Glavinovic, Mladen I; Mandl, Judith (Fall)
(One 3-hour lab and one 1-hour lecture every second week.)
Corequisite: PHGY 209.
Restrictions: Required for Physiology students enrolled in PHGY 209. Open to BA &Sc. students and to others by permission of the instructor. Not open to students who have taken PHGY 212D1/D2.
Note: For students in a Physiology program, PHGY 212 should be taken concurrently with PHGY 209.
Physiology : Exercises illustrating fundamental principles in physiology: Central Nervous System, Cardiovascular, Respiration, Exercise Physiology, Molecular Endocrinology.
Terms: Winter 2024
Instructors: Guevara, Michael R; Magder, Sheldon A; White, John H; Vollrath, Melissa; Smith, Benjamin; Bub, Gil (Winter)
(One 3-hour lab and one 1-hour lecture every second week.)
Prerequisite: PHGY 212
Corequisite: PHGY 210.
Restrictions: Required for Physiology students enrolled in PHGY 210. Open to BA &Sc. students and to others by permission of the instructor. Not open to students who have taken PHGY 212D1/D2.
Note: For students in a Physiology program, PHGY 213 should be taken concurrently with PHGY 210.
Physiology : In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in renal, respiratory and cardiovascular functions explored beyond the introductory level.
Terms: Winter 2024
Instructors: Hanrahan, John W; Martin, James G; Shrier, Alvin; Magder, Sheldon A (Winter)
Physiology : In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in immunology, blood and fluids, and gastrointestinal physiology.
Terms: Winter 2024
Instructors: Mandl, Judith; Pantopoulos, Konstantinos; Blank, Volker Manfred; Kokoeva, Maia; Vollrath, Melissa; Fritz, Jörg; King, Irah; Quail, Daniela; Melichar, Heather (Winter)
Physiology : Individual project work under the supervision of Departmental Staff members.
Terms: Fall 2023
Instructors: Grisaru Wechsler, Ann; Orlowski, John; Vollrath, Melissa (Fall)
Fall
Restrictions: Departmental approval required. This course is a requirement for U3 students in the Honours Physiology program, the Major Program in Physiology and Mathematics, and the Major program in Physiology and Physics, and is open to a limited number of other U3 Physiology students.
Students must register for both PHGY 461D1 and PHGY 461D2.
No credit will be given for this course unless both PHGY 461D1 and PHGY 461D2 are successfully completed in consecutive terms
Physiology : See PHGY 461D1 for course description.
Terms: Winter 2024
Instructors: There are no professors associated with this course for the 2023-2024 academic year.
Winter
Prerequisite: PHGY 461D1
No credit will be given for this course unless both PHGY 461D1 and PHGY 461D2 are successfully completed in consecutive terms
*** Students may take either MATH 248 or MATH 314.
3 credits, one of:
Computer Science (Sci) : Computer 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.
Terms: Fall 2023, Winter 2024
Instructors: Becerra, David; Blanchette, Mathieu (Fall) Becerra, David (Winter)
Computer Science (Sci) : Mathematical tools (binary numbers, induction, recurrence relations, asymptotic complexity, establishing correctness of programs), Data structures (arrays, stacks, queues, linked lists, trees, binary trees, binary search trees, heaps, hash tables), Recursive and non-recursive algorithms (searching and sorting, tree and graph traversal). Abstract data types, inheritance. Selected topics.
Terms: Fall 2023, Winter 2024
Instructors: Alberini, Giulia (Fall) Alberini, Giulia (Winter)
3 credits, one of:
Physiology : In-depth presentation of experimental results and hypotheses on cellular communication in the nervous system and the endocrine system.
Terms: Fall 2023
Instructors: Cooper, Ellis; Sjostrom, Per Jesper; Krishnaswamy, Arjun; Sharif Naeini, Reza (Fall)
Fall
3 hours of lectures per week; 1-3 hours optional lab/demonstration/tutorial arranged for a maximum of 3 afternoons per term
Prerequisite: PHGY 209 or permission of the instructor.
Physiology : In 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.
Terms: Fall 2023
Instructors: Chacron, Maurice; Shmuel, Amir; Vollrath, Melissa; Lomber, Stephen; Brandon, Mark; Bashivan, Pouya; Cléry, Justine (Fall)
Fall
3 hours of lectures per week
Prerequisites: PHGY 209
3 credits, one of:
Physics : Analytic and computer simulation techniques are used to examine the role of nonlinearities and time delays in determining the dynamic behaviour of physiological control systems and their relation to normal and pathophysiological states. Examples drawn from the control of respiration, cellular proliferation and differentiation, biochemical feedback networks, thermoregulatory mechanisms, and neural feedback.
Terms: This course is not scheduled for the 2023-2024 academic year.
Instructors: There are no professors associated with this course for the 2023-2024 academic year.
Physics : An advanced biophysics course, with a special emphasis on stochastic and out of equilibrium physical processes in living matter.
Terms: Winter 2024
Instructors: Wiseman, Paul (Winter)