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Required Courses
Bachelor of Science (B.Sc.) - Major Physiology and Physics (82 Credits) Offered by:Physiology Degree:Bachelor of Science Program Requirement: This program provides a firm foundation in physics, mathematics, and physiology. It is appropriate for students interested in applying methods of the physical sciences to problems in physiology and allied biological sciences. Required Courses (76 credits) Bio-Physical Sciences Core BIOL 219 Intro to Phys Mol & Cell Biol 4 Credits Offered in the: Fall Winter Summer 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 BIOL 395 Quantitative Biology Seminar 1 Credits Offered in the: Fall Winter Summer Biology (Sci): Overview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology. Offered by: Biology 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. Terms Fall 2024 Instructors Gregor F Fussmann, Andrew Hendry, Frederic Guichard, Alexandra Schmidt, Marlene H Oeffinger, Michael Hendricks, Khanh Huy Bui, Stephanie Weber, Arnold L Hayer, Abigail Gerhold MATH 222 Calculus 3 3 Credits Offered in the: Fall Winter Summer 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 Summer 2025 Instructors Brent Pym, Damien Tageddine Hovsep Mazakian MATH 223 Linear Algebra 3 Credits* Offered in the: Fall Winter 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. 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 206, MATH 236, MATH 247, or MATH 251. Symbols: * Terms Fall 2024 Winter 2025 Instructors Shereen Elaidi, Hugues Bellemare Jeremy Macdonald MATH 247 Honours Applied Linear Algebra 3 Credits* Offered in the: Fall Winter Summer 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 Symbols: * Terms Winter 2025 Instructors Tim Hoheisel MATH 315 Ordinary Differential Eqns 3 Credits Offered in the: Fall Winter Summer Mathematics & Statistics (Sci): First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions. Offered by: Mathematics and Statistics Prerequisite: MATH 222. Corequisite: MATH 133. Restriction: Not open to students who have taken or are taking MATH 325. Symbols: Terms Fall 2024 Winter 2025 Instructors Courtney Paquette Niky Kamran MATH 325 Honours ODE's 3 Credits Offered in the: Fall Winter 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. Offered by: Mathematics and Statistics 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 Symbols: Terms Winter 2025 Instructors Jean-Philippe Lessard PHYS 329 Stat Physics w/ Biophys Appl 3 Credits Offered in the: Fall Winter Summer Physics: This 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. Offered by: Physics Prerequisite(s): [BIOL 219 and (PHYS 253 or PHYS 232 or CHEM 345)] or permission of the instructor Restriction(s): Not opened to students having taken PHYS 333, PHYS 362, or CHEM 365 Terms This course is not scheduled for the 2024-2025 academic year Instructors There are no professors associated with this course for the 2024-2025 academic year * Students may take either MATH 223 or MATH 247. Students may take either MATH 315 or MATH 325. Physiology and Physics Core BMDE 519 Biomedical Signals & Systems 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Biomedical Engineering (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 Terms Fall 2024 Instructors Robert E Kearney MATH 248 Honours Vector Calculus 3 Credits* Offered in the: Fall Winter Summer 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. Symbols: * Terms Fall 2024 Instructors Jean Pierre Mutanguha MATH 314 Advanced Calculus 3 Credits* Offered in the: Fall Winter Summer 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. Offered by: Mathematics and Statistics Prerequisites: MATH 133, MATH 222 Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358. Symbols: *** Terms Fall 2024 Winter 2025 Instructors Gabriel Martine Jack Anthony Borthwick MATH 326 Nonlinear Dynamics and Chaos 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Mathematics and Statistics Fall Prerequisites: MATH 222, MATH 223 Restriction: Not open to students who have taken or are taking MATH 376 Terms Fall 2024 Instructors Tony Humphries MATH 437 Mathematical Meth in Biology 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Mathematics and Statistics This course is offered in the winter semester. Prerequisite(s): MATH 315 or MATH 325, and MATH 326 or MATH 376, and COMP 202 or COMP 204 or COMP 208 or equivalent. Terms Winter 2025 Instructors Anmar Khadra PHGY 209 Mammalian Physiology 1 3 Credits Offered in the: Fall Winter Summer 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, C茅line Aguer PHGY 210 Mammalian Physiology 2 3 Credits Offered in the: Fall Winter Summer 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, C茅line Aguer PHGY 212 Introductory Physiology Lab 1 1 Credits Offered in the: Fall Winter Summer Physiology: Exercises illustrating fundamental principles in physiology: Biological Signals Acquisitions, Blood, Immunology, Neurophysiology, Neuromuscular Physiology. Offered by: Physiology (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. Terms Fall 2024 Instructors Melissa A Vollrath, Mladen I Glavinovic, Judith N Mandl PHGY 213 Introductory Physiology Lab 2 1 Credits Offered in the: Fall Winter Summer Physiology: Exercises illustrating fundamental principles in physiology: Central Nervous System, Cardiovascular, Respiration, Exercise Physiology, Molecular Endocrinology. Offered by: Physiology (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. Terms Winter 2025 Instructors Michael R Guevara, Sheldon A Magder, John H White, Melissa A Vollrath PHGY 312 Resp.,Renal,&Cardio Physiology 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Physiology Winter 3 hours of lectures per week; 1-3 hours optional lab/demonstration/tutorial arranged for a maximum of 3 Wednesday afternoons per term Prerequisites: PHGY 209 and PHGY 210 or equivalent, PHGY 311 or permission of the instructor Terms Winter 2025 Instructors John W Hanrahan, James G Martin, Alvin Shrier, Sheldon A Magder PHGY 313 Blood,GI,Imm.Syst.Physiol 3 Credits Offered in the: Fall Winter Summer Physiology: In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in immunology, blood and fluids, and gastrointestinal physiology. Offered by: Physiology Winter 3 hours of lectures per week; 1-3 hours optional lab/demonstration/tutorial arranged for a maximum of 3 Wednesday afternoons per term Prerequisites: PHGY 209 and PHGY 210 or equivalent, PHGY 311 or permission of the instructor Terms Winter 2025 Instructors Judith N Mandl, Volker Manfred Blank, Melissa A Vollrath, J枚rg H Fritz, Daniela Quail PHGY 461D1 Experimental Physiology 4.5 Credits Offered in the: Fall Winter Summer Physiology: Individual project work under the supervision of Departmental Staff members. Offered by: Physiology 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 Terms Fall 2024 Instructors John Orlowski, Melissa A Vollrath PHGY 461D2 Experimental Physiology 4.5 Credits Offered in the: Fall Winter Summer Physiology: See PHGY 461D1 for course description. Offered by: Physiology 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 Terms Winter 2025 Instructors There are no professors associated with this course for the 2024-2025 academic year PHYS 230 Dynamics of Simple Systems 3 Credits Offered in the: Fall Winter Summer Physics: Translational 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. Offered by: Physics Fall 3 hours lectures Prerequisite: CEGEP Physics or PHYS 131. Corequisite: MATH 222 Restriction: Not open to students taking or having passed PHYS 251 Terms Fall 2024 Instructors Hong Guo PHYS 232 Heat and Waves 3 Credits Offered in the: Fall Winter Summer Physics: The 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. Offered by: Physics Winter 3 hours lectures Prerequisites: CEGEP Physics or PHYS 142, and CEGEP chemistry or CHEM 120, and PHYS 230. Restriction: Not open to students taking or having passed PHYS 253 Terms Winter 2025 Instructors Michael Hilke PHYS 241 Signal Processing 3 Credits Offered in the: Fall Winter Summer Physics: Linear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits. Offered by: Physics Winter 2 hours lectures; 3 hours laboratory alternate weeks Prerequisite: CEGEP physics or PHYS 142. Terms Winter 2025 Instructors Jason Hessels PHYS 257 Experimental Methods 1 3 Credits Offered in the: Fall Winter Summer Physics: Introductory 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. Offered by: Physics Fall 6 hours of laboratory and classroom work Corequisite: PHYS 230 or PHYS 251 Terms Fall 2024 Instructors Brigitte Vachon PHYS 258 Experimental Methods 2 3 Credits Offered in the: Fall Winter Summer Physics: Advanced 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. Offered by: Physics Winter 6 hours of laboratory and classroom work Prerequisite: PHYS 257 Terms Winter 2025 Instructors David Cooke PHYS 339 Measurements Lab in Gen Phys 3 Credits Offered in the: Fall Winter Summer Physics: Introduction 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. Offered by: Physics Winter 6 hours Prerequisite: PHYS 241 or permission of instructor Terms Winter 2025 Instructors Dominic Ryan PHYS 340 Majors Electricity & Magnetism 3 Credits Offered in the: Fall Winter Summer Physics: The 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. Offered by: Physics Fall 3 hours lectures Prerequisites: CEGEP physics or PHYS 142, MATH 222 Corequisite: MATH 314 Restriction: Not open to students who have passed PHYS 242 or PHYS 350 Terms Fall 2024 Instructors Adrian C Liu PHYS 346 Majors Quantum Physics 3 Credits Offered in the: Fall Winter Summer Physics: De Broglie waves, Bohr atom. Schroedinger equation, wave functions, observables. One dimensional potentials. Schroedinger equation in three dimensions. Angular momentum, hydrogen atom. Spin, experimental consequences. Offered by: Physics Fall Prerequisite: PHYS 230 and PHYS 232, or PHYS 251 Restriction: Not open to students who have taken PHYS 357, PHYS 446, or PHYS 457. 3 hours lectures Terms Fall 2024 Instructors Brigitte Vachon *** Students may take either MATH 248 or MATH 314. Complementary Courses (6 credits) 3 credits, one of: PHGY 311 Channels, Synapses & Hormones 3 Credits Offered in the: Fall Winter Summer Physiology: In-depth presentation of experimental results and hypotheses on cellular communication in the nervous system and the endocrine system. Offered by: Physiology 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. Terms Fall 2024 Instructors Ellis Cooper, Per Jesper Sjostrom, Arjun Krishnaswamy, Reza Sharif Naeini PHGY 314 Integrative Neuroscience 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Physiology Fall 3 hours of lectures per week Prerequisites: PHGY 209 Terms Fall 2024 Instructors Maurice J Chacron, Christopher C Pack, Amir Shmuel, Melissa A Vollrath, Stephen Lomber, Mark Brandon, Pouya Bashivan 3 credits, one of: PHYS 413 Physical Basis of Physiology 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Physics Fall 3 hours lectures Prerequisite: MATH 315, or MATH 325, and permission of the instructor Intended for Major or Honours students in Physics, Physiology, Physiology and Physics, or Mathematics and others with permission Terms This course is not scheduled for the 2024-2025 academic year Instructors There are no professors associated with this course for the 2024-2025 academic year PHYS 519 Advanced Biophysics 3 Credits Offered in the: Fall Winter Summer Physics: An advanced biophysics course, with a special emphasis on stochastic and out of equilibrium physical processes in living matter. Offered by: Physics Prerequisites: (PHYS 329 or PHYS 333 or PHYS 362 or MATH 437) and (PHYS 340 or PHYS 350), or permission of the instructor. Terms Winter 2025 Instructors Paul W Wiseman For more information, see Programs, Courses and University Regulations.
U1
PHGY 209 Mammalian Physiology 1 3 Credits Offered in the: Fall Winter Summer 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, C茅line Aguer
PHGY 210 Mammalian Physiology 2 3 Credits Offered in the: Fall Winter Summer 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, C茅line Aguer
PHGY 212 Introductory Physiology Lab 1 1 Credits Offered in the: Fall Winter Summer Physiology: Exercises illustrating fundamental principles in physiology: Biological Signals Acquisitions, Blood, Immunology, Neurophysiology, Neuromuscular Physiology. Offered by: Physiology (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. Terms Fall 2024 Instructors Melissa A Vollrath, Mladen I Glavinovic, Judith N Mandl
PHGY 213 Introductory Physiology Lab 2 1 Credits Offered in the: Fall Winter Summer Physiology: Exercises illustrating fundamental principles in physiology: Central Nervous System, Cardiovascular, Respiration, Exercise Physiology, Molecular Endocrinology. Offered by: Physiology (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. Terms Winter 2025 Instructors Michael R Guevara, Sheldon A Magder, John H White, Melissa A Vollrath
MATH 222 Calculus 3 3 Credits Offered in the: Fall Winter Summer 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 Summer 2025 Instructors Brent Pym, Damien Tageddine Hovsep Mazakian
MATH 223 Linear Algebra 3 Credits Offered in the: Fall Winter 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. 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 206, MATH 236, MATH 247, or MATH 251. Terms Fall 2024 Winter 2025 Instructors Shereen Elaidi, Hugues Bellemare Jeremy Macdonald 听OR
MATH 247 Honours Applied Linear Algebra 3 Credits Offered in the: Fall Winter Summer 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
MATH 315 Ordinary Differential Eqns 3 Credits Offered in the: Fall Winter Summer Mathematics & Statistics (Sci): First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions. Offered by: Mathematics and Statistics Prerequisite: MATH 222. Corequisite: MATH 133. Restriction: Not open to students who have taken or are taking MATH 325. Terms Fall 2024 Winter 2025 Instructors Courtney Paquette Niky Kamran 听OR
MATH 325 Honours ODE's 3 Credits Offered in the: Fall Winter 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. Offered by: Mathematics and Statistics 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 Terms Winter 2025 Instructors Jean-Philippe Lessard
PHYS 230 Dynamics of Simple Systems 3 Credits Offered in the: Fall Winter Summer Physics: Translational 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. Offered by: Physics Fall 3 hours lectures Prerequisite: CEGEP Physics or PHYS 131. Corequisite: MATH 222 Restriction: Not open to students taking or having passed PHYS 251 Terms Fall 2024 Instructors Hong Guo
PHYS 232 Heat and Waves 3 Credits Offered in the: Fall Winter Summer Physics: The 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. Offered by: Physics Winter 3 hours lectures Prerequisites: CEGEP Physics or PHYS 142, and CEGEP chemistry or CHEM 120, and PHYS 230. Restriction: Not open to students taking or having passed PHYS 253 Terms Winter 2025 Instructors Michael Hilke
PHYS 241 Signal Processing 3 Credits Offered in the: Fall Winter Summer Physics: Linear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits. Offered by: Physics Winter 2 hours lectures; 3 hours laboratory alternate weeks Prerequisite: CEGEP physics or PHYS 142. Terms Winter 2025 Instructors Jason Hessels
PHYS 257 Experimental Methods 1 3 Credits Offered in the: Fall Winter Summer Physics: Introductory 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. Offered by: Physics Fall 6 hours of laboratory and classroom work Corequisite: PHYS 230 or PHYS 251 Terms Fall 2024 Instructors Brigitte Vachon
PHYS 258 Experimental Methods 2 3 Credits Offered in the: Fall Winter Summer Physics: Advanced 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. Offered by: Physics Winter 6 hours of laboratory and classroom work Prerequisite: PHYS 257 Terms Winter 2025 Instructors David Cooke
U2
PHGY 311 Channels, Synapses & Hormones 3 Credits Offered in the: Fall Winter Summer Physiology: In-depth presentation of experimental results and hypotheses on cellular communication in the nervous system and the endocrine system. Offered by: Physiology 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. Terms Fall 2024 Instructors Ellis Cooper, Per Jesper Sjostrom, Arjun Krishnaswamy, Reza Sharif Naeini 听OR
PHGY 314 Integrative Neuroscience 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Physiology Fall 3 hours of lectures per week Prerequisites: PHGY 209 Terms Fall 2024 Instructors Maurice J Chacron, Christopher C Pack, Amir Shmuel, Melissa A Vollrath, Stephen Lomber, Mark Brandon, Pouya Bashivan
PHGY 312 Resp.,Renal,&Cardio Physiology 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Physiology Winter 3 hours of lectures per week; 1-3 hours optional lab/demonstration/tutorial arranged for a maximum of 3 Wednesday afternoons per term Prerequisites: PHGY 209 and PHGY 210 or equivalent, PHGY 311 or permission of the instructor Terms Winter 2025 Instructors John W Hanrahan, James G Martin, Alvin Shrier, Sheldon A Magder
PHGY 313 Blood,GI,Imm.Syst.Physiol 3 Credits Offered in the: Fall Winter Summer Physiology: In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in immunology, blood and fluids, and gastrointestinal physiology. Offered by: Physiology Winter 3 hours of lectures per week; 1-3 hours optional lab/demonstration/tutorial arranged for a maximum of 3 Wednesday afternoons per term Prerequisites: PHGY 209 and PHGY 210 or equivalent, PHGY 311 or permission of the instructor Terms Winter 2025 Instructors Judith N Mandl, Volker Manfred Blank, Melissa A Vollrath, J枚rg H Fritz, Daniela Quail
MATH 314 Advanced Calculus 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Mathematics and Statistics Prerequisites: MATH 133, MATH 222 Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358. Terms Fall 2024 Winter 2025 Instructors Gabriel Martine Jack Anthony Borthwick 听OR
MATH 248 Honours Vector Calculus 3 Credits Offered in the: Fall Winter Summer 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
MATH 326 Nonlinear Dynamics and Chaos 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Mathematics and Statistics Fall Prerequisites: MATH 222, MATH 223 Restriction: Not open to students who have taken or are taking MATH 376 Terms Fall 2024 Instructors Tony Humphries
PHYS 329 Stat Physics w/ Biophys Appl 3 Credits Offered in the: Fall Winter Summer Physics: This 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. Offered by: Physics Prerequisite(s): [BIOL 219 and (PHYS 253 or PHYS 232 or CHEM 345)] or permission of the instructor Restriction(s): Not opened to students having taken PHYS 333, PHYS 362, or CHEM 365 Terms This course is not scheduled for the 2024 academic year Instructors There are no professors associated with this course for the 2024 academic year
MATH 437 Mathematical Meth in Biology 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Mathematics and Statistics This course is offered in the winter semester. Prerequisite(s): MATH 315 or MATH 325, and MATH 326 or MATH 376, and COMP 202 or COMP 204 or COMP 208 or equivalent. Terms Winter 2025 Instructors Anmar Khadra OR MATH 537 Honours Math Models in Biology 4 Credits Offered in the: Fall Winter Summer Mathematics & Statistics (Sci): The formulation and treatment of realistic mathematical models describing biological phenomena through such qualitative and quantitative mathematical techniques as local and global stability theory, bifurcation analysis, phase plane analysis, and numerical simulation. Concrete and detailed examples will be drawn from molecular, cellular and population biology and mammalian physiology. Offered by: Mathematics and Statistics Prerequisite(s): MATH 325, MATH 376, and COMP 202 or COMP 204 or COMP 208 or equivalent. Restriction(s): Not open to students who have taken MATH 437. This course is offered in the winter semester. Terms Winter 2025 Instructors Anmar Khadra (honours students)
BIOL 219 Intro to Phys Mol & Cell Biol 4 Credits Offered in the: Fall Winter Summer 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
U3
PHGY 461D1 Experimental Physiology 4.5 Credits Offered in the: Fall Winter Summer Physiology: Individual project work under the supervision of Departmental Staff members. Offered by: Physiology 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 Terms Fall 2024 Instructors John Orlowski, Melissa A Vollrath
PHGY 461D2 Experimental Physiology 4.5 Credits Offered in the: Fall Winter Summer Physiology: See PHGY 461D1 for course description. Offered by: Physiology 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 Terms Winter 2025 Instructors There are no professors associated with this course for the 2024 academic year
BMDE 519 Biomedical Signals & Systems 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Biomedical Engineering (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 Terms Fall 2024 Instructors Robert E Kearney
PHYS 339 Measurements Lab in Gen Phys 3 Credits Offered in the: Fall Winter Summer Physics: Introduction 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. Offered by: Physics Winter 6 hours Prerequisite: PHYS 241 or permission of instructor Terms Winter 2025 Instructors Dominic Ryan
PHYS 340 Majors Electricity & Magnetism 3 Credits Offered in the: Fall Winter Summer Physics: The 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. Offered by: Physics Fall 3 hours lectures Prerequisites: CEGEP physics or PHYS 142, MATH 222 Corequisite: MATH 314 Restriction: Not open to students who have passed PHYS 242 or PHYS 350 Terms Fall 2024 Instructors Adrian C Liu
PHYS 346 Majors Quantum Physics 3 Credits Offered in the: Fall Winter Summer Physics: De Broglie waves, Bohr atom. Schroedinger equation, wave functions, observables. One dimensional potentials. Schroedinger equation in three dimensions. Angular momentum, hydrogen atom. Spin, experimental consequences. Offered by: Physics Fall Prerequisite: PHYS 230 and PHYS 232, or PHYS 251 Restriction: Not open to students who have taken PHYS 357, PHYS 446, or PHYS 457. 3 hours lectures Terms Fall 2024 Instructors Brigitte Vachon
PHYS 413 Physical Basis of Physiology 3 Credits Offered in the: Fall Winter Summer 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. Offered by: Physics Fall 3 hours lectures Prerequisite: MATH 315, or MATH 325, and permission of the instructor Intended for Major or Honours students in Physics, Physiology, Physiology and Physics, or Mathematics and others with permission Terms This course is not scheduled for the 2024 academic year Instructors There are no professors associated with this course for the 2024 academic year 听OR
PHYS 519 Advanced Biophysics 3 Credits Offered in the: Fall Winter Summer Physics: An advanced biophysics course, with a special emphasis on stochastic and out of equilibrium physical processes in living matter. Offered by: Physics Prerequisites: (PHYS 329 or PHYS 333 or PHYS 362 or MATH 437) and (PHYS 340 or PHYS 350), or permission of the instructor. Terms Winter 2025 Instructors Paul W Wiseman
BIOL 395 Quantitative Biology Seminar 1 Credits Offered in the: Fall Winter Summer Biology (Sci): Overview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology. Offered by: Biology 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. Terms Fall 2024 Instructors Gregor F Fussmann, Andrew Hendry, Frederic Guichard, Alexandra Schmidt, Marlene H Oeffinger, Michael Hendricks, Khanh Huy Bui, Stephanie Weber, Arnold L Hayer, Abigail Gerhold
Total Credits: 82

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Bio-Physical Sciences Core

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Department of Physiology