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Program Requirements
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.
U1 Required Courses (17 credits)
* The corequisite BIOL 200, BIOL 201 is waived for this program.
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MATH 222 Calculus 3 (3 credits)
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: Jonsson, Wilbur; Sancho, Neville G F (Fall) Jonsson, Wilbur (Winter)
- Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
- Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
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PHGY 212 Introductory Physiology Laboratory 1 (1 credit) *
Overview
Physiology : Exercises illustrating fundamental principles in physiology: Biological Signals Acquisitions, Blood, Immunology, Neurophysiology, Neuromuscular Physiology.
Terms: Fall 2010
Instructors: Martinez Trujillo, Julio; Glavinovic, Mladen I; Jones, Russell (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.
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PHGY 213 Introductory Physiology Laboratory 2 (1 credit) *
Overview
Physiology : Exercises illustrating fundamental principles in physiology: Central Nervous System, Cardiovascular, Respiration, Exercise Physiology, Molecular Endocrinology.
Terms: Winter 2011
Instructors: Guevara, Michael R; Watt, Douglas; Farookhi, Riaz; Magder, Sheldon A (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.
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PHYS 230 Dynamics of Simple Systems (3 credits)
Overview
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.
Terms: Fall 2010
Instructors: Guo, Hong (Fall)
- Fall
- 3 hours lectures
- Prerequisite: CEGEP Physics or PHYS 131.
- Corequisite: MATH 222
- Restriction: Not open to students taking or having passed PHYS 251
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PHYS 232 Heat and Waves (3 credits)
Overview
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.
Terms: Winter 2011
Instructors: Ryan, Dominic (Winter)
- 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
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PHYS 257 Experimental Methods 1 (3 credits)
Overview
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.
Terms: Fall 2010
Instructors: Siwick, Bradley (Fall)
- Fall
- 6 hours of laboratory and classroom work
- Corequisite: PHYS 230 or PHYS 251
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PHYS 258 Experimental Methods 2 (3 credits)
Overview
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.
Terms: Winter 2011
Instructors: Ryan, Dominic; Engelberg, Edith M (Winter)
- Winter
- 6 hours of laboratory and classroom work
- Prerequisite: PHYS 257
U2 Required Courses (21 credits)
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MATH 326 Nonlinear Dynamics and Chaos (3 credits)
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: Humphries, Antony Raymond (Fall)
- Fall
- Prerequisites: MATH 222, MATH 223
- Restriction: Not open to students who have taken or are taking MATH 376
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PHGY 311 Channels, Synapses & Hormones (3 credits)
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: Cooper, Ellis; Haghighi, Ali (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.
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PHGY 312 Respiratory, Renal, & Cardiovascular Physiology (3 credits)
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: Hanrahan, John W; Mortola, Jacopo; Magder, Sheldon A (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
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PHGY 313 Blood, Gastrointestinal, & Immune Systems Physiology (3 credits)
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: Martinez Trujillo, Julio; Blank, Volker Manfred; Jones, Russell (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
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PHGY 314 Integrative Neuroscience (3 credits)
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: Watt, Douglas; Martinez Trujillo, Julio; Vollrath, Melissa (Fall)
- Fall
- 3 hours of lectures per week
- Prerequisites: PHGY 209
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PHYS 328 Electronics (3 credits)
Overview
Physics : Semiconductor devices, basic transistor circuits, operational amplifiers, combinatorial and sequential logic, integrated circuits, analogue to digital converters. The laboratory component covers design, construction and testing of basic electronic circuits.
Terms: Fall 2010
Instructors: Hanna, David (Fall)
- Fall
- 2 hours lectures; 3 hours laboratory
- Prerequisite: PHYS 241 or permission of instructor
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PHYS 339 Measurements Laboratory in General Physics (3 credits)
Overview
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.
Terms: Winter 2011
Instructors: Hilke, Michael (Winter)
- Winter
- 6 hours
- Prerequisite: PHYS 241 or permission of instructor
U2 or U3 Required Courses (6 credits)
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MATH 437 Mathematical Methods in Biology (3 credits)
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: Mackey, Michael C (Fall)
- Fall
- Prerequisites: MATH 315 or MATH 325, and MATH 323 or MATH 356, a CEGEP or higher level computer programming course
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PHYS 413 Physical Basis of Physiology (3 credits)
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 (21 credits)
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BMDE 519 Biomedical Signals and Systems (3 credits)
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: 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.
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PHGY 461D1 Experimental Physiology (4.5 credits)
Overview
Physiology : Individual project work under the supervision of Departmental Staff members.
Terms: Fall 2010
Instructors: Wechsler, Ann; Cooper, Linda H (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
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PHGY 461D2 Experimental Physiology (4.5 credits)
Overview
Physiology : See PHGY 461D1 for course description.
Terms: Winter 2011
Instructors: Wechsler, Ann; Cooper, Linda H (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
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PHYS 333 Thermal and Statistical Physics (3 credits)
Overview
Physics : Introductory equilibrium statistical mechanics. Quantum states, probabilities, ensemble averages. Entropy, temperature, Boltzmann factor, chemical potential. Photons and phonons. Fermi-Dirac and Bose-Einstein distributions; applications.
Terms: Winter 2011
Instructors: Harris, Richard (Winter)
- Winter
- 3 hours lectures
- Prerequisite: PHYS 232
- Restriction: Not open to students taking or having passed PHYS 362
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PHYS 340 Majors Electricity and Magnetism (3 credits)
Overview
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.
Terms: Fall 2010
Instructors: Rutledge, Robert (Fall)
- 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
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PHYS 446 Majors Quantum Physics (3 credits)
Overview
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.
Terms: Fall 2010
Instructors: Reisner, Walter (Fall)
- Fall
- 3 hours lectures
- Prerequisite: PHYS 230 and PHYS 232, or PHYS 251
- Restriction: Not open to students taking or having taken PHYS 357 or PHYS 457
U1 Complementary Courses (9 credits)
3 credits, one of:
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MATH 223 Linear Algebra (3 credits)
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: Loveys, James G; Huang, Hongnian (Fall) Loveys, James G (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
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MATH 247 Honours Applied Linear Algebra (3 credits)
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: Hundemer, Axel W (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
6 credits selected as follows:
Either PHGY 209 and PHGY 210* or PHGY 201 and PHGY 202.
* The corequisite BIOL 200, BIOL 201 is waived for this program.
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PHGY 201 Human Physiology: Control Systems (3 credits)
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
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PHGY 202 Human Physiology: Body Functions (3 credits)
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
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PHGY 209 Mammalian Physiology 1 (3 credits)
Overview
Physiology : Physiology of body fluids, blood, body defense mechanisms, muscle, peripheral, central, and autonomic nervous systems.
Terms: Fall 2010
Instructors: Wechsler, Ann; Gold, Phil; 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 PHGY 201 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
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PHGY 210 Mammalian Physiology 2 (3 credits) *
Overview
Physiology : Physiology of cardiovascular, respiratory, digestive, endocrine and renal systems.
Terms: Winter 2011
Instructors: White, John H; Wechsler, Ann; Lauzon, Anne-Marie (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: Not open to students who have taken PHGY 202.
- 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
U2 Complementary Courses (6 credits)
3 credits, one of:
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MATH 315 Ordinary Differential Equations (3 credits)
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: Sancho, Neville G F (Fall) Xu, Jian-Jun (Winter)
- Prerequisite: MATH 222.
- Corequisite: MATH 133.
- Restriction: Not open to students who have taken or are taking MATH 325.
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MATH 325 Honours Ordinary Differential Equations (3 credits)
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: Humphries, Antony Raymond (Fall) Klemes, Ivo (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
3 credits, one of:
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MATH 248 Honours Advanced Calculus (3 credits)
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: Guan, Pengfei (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
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MATH 314 Advanced Calculus (3 credits)
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: Jonsson, Wilbur (Fall) Jonsson, Wilbur (Winter) Roth, Charles (Summer)
- Prerequisites: MATH 133, MATH 222
- Restriction: Not open to students who have taken or are taking MATH 248
Faculty of Science—2010-2011 (last updated Jan. 19, 2011) (disclaimer)