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Note: This is the 20102011 edition of the eCalendar. For the most recent publication, click here.  

Major Physiology and Mathematics (77 credits)

Offered by: Physiology     Degree: Bachelor of Science

Program Requirements

U1 Required Courses (14 credits)

  • BIOL 200 Molecular Biology (3 credits)

    Offered by: Biology (Faculty of Science)

    Overview

    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.

    Terms: Fall 2010

    Instructors: Richard D W Roy, Gregory G Brown, Francesco Fagotto, Monique Zetka (Fall)

    • Fall

    • 3 hours lecture, 1 hour optional tutorial

    • Prerequisite: BIOL 112 or equivalent

    • Corequisite: CHEM 212 or equivalent

  • 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 2010

    Instructors: Leon Glass (Fall)

    • Fall

    • 3 hours lecture

    • Prerequisite: one year of calculus. An additional course in calculus is recommended

  • 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 2010, Winter 2011, Summer 2011

    Instructors: Wilbur Jonsson, Neville G F Sancho (Fall) Wilbur Jonsson (Winter)

  • PHGY 212 Introductory Physiology Laboratory 1 (1 credit)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    Physiology : Exercises illustrating fundamental principles in physiology: Biological Signals Acquisitions, Blood, Immunology, Neurophysiology, Neuromuscular Physiology.

    Terms: Fall 2010

    Instructors: Julio Martinez Trujillo, Mladen I Glavinovic, Russell Jones (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.

  • PHGY 213 Introductory Physiology Laboratory 2 (1 credit)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    Physiology : Exercises illustrating fundamental principles in physiology: Central Nervous System, Cardiovascular, Respiration, Exercise Physiology, Molecular Endocrinology.

    Terms: Winter 2011

    Instructors: Michael R Guevara, Douglas Watt, Riaz Farookhi, Sheldon A Magder (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.

One of:

  • 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 2010, Winter 2011

    Instructors: James G Loveys, Hongnian Huang (Fall) James G Loveys (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 2011

    Instructors: Axel W Hundemer (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

U1 Complementary Courses (15 credits)

3 credits, one of:

  • BIOC 212 Molecular Mechanisms of Cell Function (3 credits)

    Offered by: Biochemistry (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    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.

    Terms: Winter 2011

    Instructors: Thomas Duchaine, Arnim Pause, Dieter Reinhardt (Winter)

    • 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.

  • BIOL 201 Cell Biology and Metabolism (3 credits)

    Offered by: Biology (Faculty of Science)

    Overview

    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.

    Terms: Winter 2011

    Instructors: Robert Levine, Kathryn Hewitt, Gary Brouhard (Winter)

    • 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

6 credits selected as follows:

Either PHGY 209 and PHGY 210 or PHGY 201 and PHGY 202.

  • PHGY 201 Human Physiology: Control Systems (3 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    Physiology : Physiology of body fluids, blood, nerve and muscle, peripheral nerves, central nervous system, special senses, autonomic nervous system, defense mechanisms.

    Terms: This course is not scheduled for the 2010-2011 academic year.

    Instructors: There are no professors associated with this course for the 2010-2011 academic year.

    • Fall

    • 3 hours lecture weekly

    • Prerequisites: collegial courses in biology or anatomy, and in chemistry and physics; with CHEM 212 or equivalent, as a pre-/co-requisite

    • Restriction: For students in Physical and Occupational Therapy, Nursing, and others with permission of the course coordinator

    • Restriction: Not open to students who have taken PHGY 209

  • PHGY 202 Human Physiology: Body Functions (3 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    Physiology : Physiology of the cardiovascular, respiratory, excretory, endocrine, and digestive systems; organic and energy metabolism; nutrition; exercise and environmental stress.

    Terms: This course is not scheduled for the 2010-2011 academic year.

    Instructors: There are no professors associated with this course for the 2010-2011 academic year.

    • Winter

    • 3 hours lecture weekly

    • Prerequisites: collegial courses in biology or anatomy and in chemistry and physics; with CHEM 212 or equivalent, as a pre-/co-requisite

    • Restriction: For students in Physical and Occupational Therapy, Nursing, Education, and others with permission of the course coordinator

    • Restriction: Not open to students who took 552-201 in 1976-77 or earlier, or PHGY 210

  • PHGY 209 Mammalian Physiology 1 (3 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

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

    Terms: Fall 2010

    Instructors: Ann Wechsler, Phil Gold, Erik Cook (Fall)

  • PHGY 210 Mammalian Physiology 2 (3 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

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

    Terms: Winter 2011

    Instructors: John H White, Ann Wechsler, Anne-Marie Lauzon (Winter)

3 credits, one of:

  • MATH 248 Honours Advanced Calculus (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

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

    Terms: Fall 2010

    Instructors: Pengfei Guan (Fall)

    • Fall and Winter and Summer

    • Prerequisites: MATH 133 and MATH 222 or consent of Department.

    • Restriction: Intended for Honours Mathematics, Physics and Engineering students

    • Restriction: Not open to students who have taken or are taking MATH 314

  • 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.

    Terms: Fall 2010, Winter 2011, Summer 2011

    Instructors: Wilbur Jonsson (Fall) Wilbur Jonsson (Winter) Charles Roth (Summer)

3 credits, one of:

  • 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 2010, Winter 2011, Summer 2011

    Instructors: Neville G F Sancho (Fall) Jian-Jun Xu (Winter)

    • Prerequisite: MATH 222.

    • Corequisite: MATH 133.

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

  • 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: Fall 2010, Winter 2011

    Instructors: Antony Raymond Humphries (Fall) Ivo Klemes (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

U2 Required Courses (24 credits)

  • 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 2010

    Instructors: Reem Adel Yassawi (Fall)

  • MATH 243 Analysis 2 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Infinite series; series of functions; power series. The Riemann integral in one variable. A rigorous development of the elementary functions.

    Terms: Winter 2011

    Instructors: There are no professors associated with this course for the 2010-2011 academic year.

  • 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 2010, Winter 2011, Summer 2011

    Instructors: William J Anderson (Fall) Vahid Partovi Nia (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 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.

    Terms: Fall 2010

    Instructors: Antony Raymond Humphries (Fall)

  • PHGY 311 Channels, Synapses & Hormones (3 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    Physiology : In-depth presentation of experimental results and hypotheses on cellular communication in the nervous system and the endocrine system.

    Terms: Fall 2010

    Instructors: Ellis Cooper, Ali Haghighi (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.

  • PHGY 312 Respiratory, Renal, & Cardiovascular Physiology (3 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    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 2011

    Instructors: John W Hanrahan, Jacopo Mortola, Sheldon A Magder (Winter)

    • 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

  • PHGY 313 Blood, Gastrointestinal, & Immune Systems Physiology (3 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    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 2011

    Instructors: Julio Martinez Trujillo, Volker Manfred Blank, Russell Jones (Winter)

    • 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

  • PHGY 314 Integrative Neuroscience (3 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    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 2010

    Instructors: Douglas Watt, Julio Martinez Trujillo, Melissa Vollrath (Fall)

    • Fall

    • 3 hours of lectures per week

    • Prerequisites: PHGY 209

U2 or U3 Required Courses (6 credits)

  • MATH 437 Mathematical Methods in Biology (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    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 and phase plane analysis. Numerical simulation. Concrete and detailed examples will be drawn from molecular, cellular and population biology and mammalian physiology.

    Terms: Fall 2010

    Instructors: Michael C Mackey (Fall)

  • PHYS 413 Physical Basis of Physiology (3 credits)

    Offered by: Physics (Faculty of Science)

    Overview

    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 2010-2011 academic year.

    Instructors: There are no professors associated with this course for the 2010-2011 academic year.

    • 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

U3 Required Courses (18 credits)

  • BMDE 519 Biomedical Signals and Systems (3 credits)

    Offered by: Biomedical Engineering (Faculty of Medicine)

    Administered by: 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 2010

    Instructors: Robert E Kearney (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 319 Introduction to 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 2011

    Instructors: Gantumur Tsogtgerel (Winter)

  • 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 2010, Winter 2011

    Instructors: Masoud Asgharian-Dastenaei (Fall) William J Anderson (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.

  • PHGY 461D1 Experimental Physiology (4.5 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    Physiology : Individual project work under the supervision of Departmental Staff members.

    Terms: Fall 2010

    Instructors: Ann Wechsler, Linda H Cooper (Fall)

    • Fall

    • Restriction: Departmental approval required

    • Restriction: 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

  • PHGY 461D2 Experimental Physiology (4.5 credits)

    Offered by: Physiology (Faculty of Medicine)

    Administered by: Faculty of Science

    Overview

    Physiology : See PHGY 461D1 for course description.

    Terms: Winter 2011

    Instructors: Ann Wechsler, Linda H Cooper (Winter)

    • 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

Faculty of Science—2010-2011 (last updated Jan. 19, 2011) (disclaimer)