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Course | Title | Credits |
---|---|---|
BIOL 219 | Introduction to Physical Molecular and Cell Biology. | 4 |
Introduction to Physical Molecular and Cell Biology. Terms offered: this course is not currently offered. 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. | ||
BIOL 395 | Quantitative Biology Seminar. | 1 |
Quantitative Biology Seminar. Terms offered: this course is not currently offered. Overview of concepts and current research in quantitative biology; theoretical ecology and evolution, computational biology, and physical biology. | ||
MATH 222 | Calculus 3. | 3 |
Calculus 3. Terms offered: Summer 2025 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. | ||
MATH 223 | Linear Algebra. 1 | 3 |
Linear Algebra. Terms offered: this course is not currently offered. 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. | ||
MATH 247 | Honours Applied Linear Algebra. 1 | 3 |
Honours Applied Linear Algebra. Terms offered: this course is not currently offered. 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. | ||
MATH 315 | Ordinary Differential Equations. 2 | 3 |
Ordinary Differential Equations. Terms offered: this course is not currently offered. First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions. | ||
MATH 325 | Honours Ordinary Differential Equations. 2 | 3 |
Honours Ordinary Differential Equations. Terms offered: this course is not currently offered. First and second order equations, linear equations, series solutions, Frobenius method, introduction to numerical methods and to linear systems, Laplace transforms, applications. | ||
PHYS 329 | Statistical Physics with Biophysical Applications. | 3 |
Statistical Physics with Biophysical Applications. Terms offered: this course is not currently offered. 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. |
- 1
Students may take either MATH 223 Linear Algebra. or MATH 247 Honours Applied Linear Algebra..
- 2
Students may take either MATH 315 Ordinary Differential Equations. or MATH 325 Honours Ordinary Differential Equations..
Physiology and Physics Core
Course | Title | Credits |
---|---|---|
BMDE 519 | Biomedical Signals and Systems. | 3 |
Biomedical Signals and Systems. Terms offered: this course is not currently offered. 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. | ||
MATH 248 | Honours Vector Calculus. 1 | 3 |
Honours Vector Calculus. Terms offered: this course is not currently offered. 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. | ||
MATH 314 | Advanced Calculus. 1 | 3 |
Advanced Calculus. Terms offered: this course is not currently offered. 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. | ||
MATH 326 | Nonlinear Dynamics and Chaos. | 3 |
Nonlinear Dynamics and Chaos. Terms offered: this course is not currently offered. 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. | ||
MATH 437 | Mathematical Methods in Biology. | 3 |
Mathematical Methods in Biology. Terms offered: this course is not currently offered. 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. | ||
PHGY 209 | Mammalian Physiology 1. | 3 |
Mammalian Physiology 1. Terms offered: this course is not currently offered. Physiology of body fluids, blood, body defense mechanisms, muscle, peripheral, central, and autonomic nervous systems. | ||
PHGY 210 | Mammalian Physiology 2. | 3 |
Mammalian Physiology 2. Terms offered: this course is not currently offered. Physiology of cardiovascular, respiratory, digestive, endocrine and renal systems. | ||
PHGY 212 | Introductory Physiology Laboratory 1. | 1 |
Introductory Physiology Laboratory 1. Terms offered: this course is not currently offered. Exercises illustrating fundamental principles in physiology: Biological Signals Acquisitions, Blood, Immunology, Neurophysiology, Neuromuscular Physiology. | ||
PHGY 213 | Introductory Physiology Laboratory 2. | 1 |
Introductory Physiology Laboratory 2. Terms offered: this course is not currently offered. Exercises illustrating fundamental principles in physiology: Central Nervous System, Cardiovascular, Respiration, Exercise Physiology, Molecular Endocrinology. | ||
PHGY 312 | Respiratory, Renal, and Cardiovascular Physiology. | 3 |
Respiratory, Renal, and Cardiovascular Physiology. Terms offered: this course is not currently offered. 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. | ||
PHGY 313 | Blood, Gastrointestinal, and Immune Systems Physiology. | 3 |
Blood, Gastrointestinal, and Immune Systems Physiology. Terms offered: this course is not currently offered. In-depth presentation of experimental results and hypotheses underlying our current understanding of topics in immunology, blood and fluids, and gastrointestinal physiology. | ||
PHGY 461D1 | Experimental Physiology. | 4.5 |
Experimental Physiology. Terms offered: this course is not currently offered. Individual project work under the supervision of Departmental Staff members. | ||
PHGY 461D2 | Experimental Physiology. | 4.5 |
Experimental Physiology. Terms offered: this course is not currently offered. See PHGY 461D1 for course description. | ||
PHYS 230 | Dynamics of Simple Systems. | 3 |
Dynamics of Simple Systems. Terms offered: this course is not currently offered. 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. | ||
PHYS 232 | Heat and Waves. | 3 |
Heat and Waves. Terms offered: this course is not currently offered. 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. | ||
PHYS 241 | Signal Processing. | 3 |
Signal Processing. Terms offered: this course is not currently offered. Linear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits. | ||
PHYS 257 | Experimental Methods 1. | 3 |
Experimental Methods 1. Terms offered: this course is not currently offered. 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. | ||
PHYS 258 | Experimental Methods 2. | 3 |
Experimental Methods 2. Terms offered: this course is not currently offered. 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. | ||
PHYS 339 | Measurements Laboratory in General Physics. | 3 |
Measurements Laboratory in General Physics. Terms offered: this course is not currently offered. 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. | ||
PHYS 340 | Majors Electricity and Magnetism. | 3 |
Majors Electricity and Magnetism. Terms offered: this course is not currently offered. 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. | ||
PHYS 346 | Majors Quantum Physics. | 3 |
Majors Quantum Physics. Terms offered: this course is not currently offered. 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. |
- 1
Students may take either MATH 248 Honours Vector Calculus. or MATH 314 Advanced Calculus..
Complementary Courses (6 credits)
3 credits, one of:
Course | Title | Credits |
---|---|---|
PHGY 311 | Channels, Synapses and Hormones. | 3 |
Channels, Synapses and Hormones. Terms offered: this course is not currently offered. In-depth presentation of experimental results and hypotheses on cellular communication in the nervous system and the endocrine system. | ||
PHGY 314 | Integrative Neuroscience. | 3 |
Integrative Neuroscience. Terms offered: this course is not currently offered. 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. |
3 credits, one of:
Course | Title | Credits |
---|---|---|
PHYS 413 | Physical Basis of Physiology. | 3 |
Physical Basis of Physiology. Terms offered: this course is not currently offered. 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. | ||
PHYS 519 | Advanced Biophysics. | 3 |
Advanced Biophysics. Terms offered: this course is not currently offered. An advanced biophysics course, with a special emphasis on stochastic and out of equilibrium physical processes in living matter. |
PHGY 209. Mammalian Physiology 1.
Description
- Restriction: Not open to students who have taken PHGY 211 or PHGY 201 or students who are taking and who have taken NSCI 200.
- 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
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Description
- 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
- 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
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Launch Visual Schedule BuilderPHGY 212. Introductory Physiology Laboratory 1.
Description
- (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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Launch Visual Schedule BuilderPHGY 213. Introductory Physiology Laboratory 2.
Description
- (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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Launch Visual Schedule BuilderMATH 222. Calculus 3.
Description
- Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
- Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
- Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
- Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
- Restriction: Not open to students who have taken or are taking MATH 150, MATH 151, MATH206, or MATH 262.
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Launch Visual Schedule BuilderMATH 223. Linear Algebra.
Description
- 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.
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Launch Visual Schedule BuilderMATH 247. Honours Applied Linear Algebra.
Description
- 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
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Launch Visual Schedule BuilderMATH 315. Ordinary Differential Equations.
Description
- Restriction: Not open to students who have taken or are taking MATH 325
- Restriction: Not open to students who have taken or are taking MATH 325.
- Prerequisite: MATH 222.
- Corequisite: MATH 133.
- Restriction: Not open to students who have taken or are taking MATH 325.
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Launch Visual Schedule BuilderMATH 325. Honours Ordinary Differential Equations.
Description
- 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
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Launch Visual Schedule BuilderPHYS 230. Dynamics of Simple Systems.
Description
- 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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Launch Visual Schedule BuilderPHYS 232. Heat and Waves.
Description
- 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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Launch Visual Schedule BuilderPHYS 241. Signal Processing.
Description
- Winter
- 2 hours lectures; 3 hours laboratory alternate weeks
- Prerequisite: CEGEP physics or PHYS 142.
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Launch Visual Schedule BuilderPHYS 257. Experimental Methods 1.
Description
- Fall
- 6 hours of laboratory and classroom work
- Corequisite: PHYS 230 or PHYS 251
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Launch Visual Schedule BuilderPHYS 258. Experimental Methods 2.
Description
- Winter
- 6 hours of laboratory and classroom work
- Prerequisite: PHYS 257
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Launch Visual Schedule BuilderPHGY 311. Channels, Synapses and Hormones.
Description
- 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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Launch Visual Schedule BuilderPHGY 314. Integrative Neuroscience.
Description
- Restriction: Not open to students who have taken or are taking PSYC 308.
- Fall
- 3 hours of lectures per week
- Prerequisites: PHGY 209
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Launch Visual Schedule BuilderPHGY 312. Respiratory, Renal, and Cardiovascular Physiology.
Description
- 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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Launch Visual Schedule BuilderPHGY 313. Blood, Gastrointestinal, and Immune Systems Physiology.
Description
- 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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Launch Visual Schedule BuilderMATH 314. Advanced Calculus.
Description
- Restriction: Not open to students who have taken or are taking MATH 248
- Restriction: Not open to students who have taken or are taking MATH 248
- Prerequisites: MATH 133, MATH 222
- Restriction: Not open to students who have taken or are taking MATH 248 or MATH 358.
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Launch Visual Schedule BuilderMATH 248. Honours Vector Calculus.
Description
- 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.
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Launch Visual Schedule BuilderMATH 326. Nonlinear Dynamics and Chaos.
Description
- Fall
- Prerequisites: MATH 222, MATH 223
- Restriction: Not open to students who have taken or are taking MATH 376
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Launch Visual Schedule BuilderPHYS 329. Statistical Physics with Biophysical Applications.
Description
- 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
Most students use Visual Schedule Builder (VSB) to organize their schedules. VSB helps you plan class schedules, travel time, and more.
Launch Visual Schedule BuilderMost students use Visual Schedule Builder (VSB) to organize their schedules. VSB helps you plan class schedules, travel time, and more. Most students use Visual Schedule Builder (VSB) to organize their schedules. VSB helps you plan class schedules, travel time, and more.MATH 437. Mathematical Methods in Biology.
Description
MATH 537. Honours Mathematical Models in Biology.
Description
BIOL 219. Introduction to Physical
Molecular and Cell Biology.
Description
- This course is meant to prepare students for related 300-level courses in Biology, Chemistry, Physics, etc.
- 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.
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Launch Visual Schedule BuilderPHGY 461D1. Experimental Physiology.
Description
- No credit will be given for this course unless both PHGY 461D1 and PHGY 461D2 are successfully completed in consecutive terms
- No credit will be given for this course unless both PHGY 461D1 and PHGY 461D2 are successfully completed in consecutive terms
- 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
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Launch Visual Schedule BuilderPHGY 461D2. Experimental Physiology.
Description
- 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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Launch Visual Schedule BuilderBMDE 519. Biomedical Signals and Systems.
Description
- (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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Launch Visual Schedule BuilderPHYS 339. Measurements Laboratory in General Physics.
Description
- Winter
- 6 hours
- Prerequisite: PHYS 241 or permission of instructor
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Launch Visual Schedule BuilderPHYS 340. Majors Electricity and Magnetism.
Description
- 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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Launch Visual Schedule BuilderPHYS 346. Majors Quantum Physics.
Description
- 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
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Launch Visual Schedule BuilderPHYS 413. Physical Basis of Physiology.
Description
- 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
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Launch Visual Schedule BuilderPHYS 519. Advanced Biophysics.
Description
- Prerequisites: (PHYS 329 or PHYS 333 or PHYS 362 or MATH 437) and (PHYS 340 or PHYS 350), or permission of the instructor.
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Launch Visual Schedule BuilderBIOL 395. Quantitative Biology Seminar.
Description
- 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: Open to U2 and U3 students in the following programs: B.Sc. Major and Honours Biology-- Quantitative Biology option; B.Sc. Major and Honours Computer Science and Biology; BSc Major Biology and Mathematics; BSc Major Physiology and Mathematics; BSc Major Physiology and Physics; BSc Major and Honours Chemistry-- Biophysical Chemistry; and B.Sc. Major and Honours Physics--Biological Physics.
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