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Mathematical Physics Honours
This bachelor of science (BSc) honours program is offered jointly by the Departments of Mathematics and Physics. Entry requires permission of both.
Students should speak with an advisor as soon as possible to schedule their programs.
Graduates may undertake graduate work in mathematics or physics depending on interest. Some additional work in either mathematics or physics may be required.
Minimum Grade Requirement
Students wishing to enroll in physics courses must obtain a C grade or better in prerequisite courses.
Program Requirements
Lower Division Requirements
Complete all of
An elementary introduction to computing science and computer programming, suitable for students with little or no programming background. Students will learn fundamental concepts and terminology of computing science, acquire elementary skills for programming in a highlevel language, e.g. Python. The students will be exposed to diverse fields within, and applications of computing science. Topics will include: pseudocode; data types and control structures; fundamental algorithms; recursion; reading and writing files; measuring performance of algorithms; debugging tools; basic terminal navigation using shell commands. Treatment is informal and programming is presented as a problemsolving tool. Prerequisite: BC Math 12 or equivalent is recommended. Students with credit for CMPT 102, 128, 130 or 166 may not take this course for further credit. Students who have taken CMPT 125, 129, 130 or 135 first may not then take this course for further credit. Quantitative/BreadthScience.
Section  Instructor  Day/Time  Location 

D100 
Hazra Imran 
Mo
8:30 AM – 10:20 AM
We 8:30 AM – 9:20 AM 
SSCB 9201, Burnaby AQ 3181, Burnaby 
Riemann sum, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. Firstorder separable differential equations and growth models. Sequences and series, series tests, power series, convergence and applications of power series. Prerequisite: MATH 150 or 151, with a minimum grade of C; or MATH 154 or 157 with a grade of at least B. Students with credit for MATH 155 or 158 may not take this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Alexander Rutherford 
Mo, We, Fr
8:30 AM – 9:20 AM

SSCB 9200, Burnaby 
OP01  TBD 
Linear equations, matrices, determinants. Real and abstract vector spaces, subspaces and linear transformations; basis and change of basis. Complex numbers. Eigenvalues and eigenvectors; diagonalization. Inner products and orthogonality; least squares problems. Applications. Subject is presented with an abstract emphasis and includes proofs of the basic theorems. Prerequisite: MATH 150 or 151 or MACM 101, with a minimum grade of C; or MATH 154 or 157, both with a grade of at least B. Students with credit for MATH 232 cannot take this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Jonathan Jedwab 
Mo, We, Fr
11:30 AM – 12:20 PM

AQ 3149, Burnaby 
D101 
Th
9:30 AM – 10:20 AM

AQ 5005, Burnaby 

D102 
Th
2:30 PM – 3:20 PM

AQ 5005, Burnaby 

D103 
Th
3:30 PM – 4:20 PM

AQ 5005, Burnaby 
Rectangular, cylindrical and spherical coordinates. Vectors, lines, planes, cylinders, quadric surfaces. Vector functions, curves, motion in space. Differential and integral calculus of several variables. Vector fields, line integrals, fundamental theorem for line integrals, Green's theorem. Prerequisite: MATH 152 with a minimum grade of C; or MATH 155 or MATH 158 with a grade of at least B. Recommended: It is recommended that MATH 240 or 232 be taken before or concurrently with MATH 251. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Hansol Park 
Mo, We, Fr
1:30 PM – 2:20 PM

SSCB 9201, Burnaby 
D400 
Justin Chan 
Mo, We, Fr
9:30 AM – 10:20 AM

SRYC 5280, Surrey 
OP01  TBD  
OP02  TBD 
Vector calculus, divergence, gradient and curl; line, surface and volume integrals; conservative fields, theorems of Gauss, Green and Stokes; general curvilinear coordinates and tensor notation. Introduction to orthogonality of functions, orthogonal polynomials and Fourier series. Prerequisite: MATH 240 or 232, and 251, all with a minimum grade of C. MATH 240 or 232 may be taken concurrently. Students with credit for MATH 254 may not take MATH 252 for further credit. Quantitative.
Firstorder differential equations, second and higherorder linear equations, series solutions, introduction to Laplace transform, systems and numerical methods, applications in the physical, biological and social sciences. Prerequisite: MATH 152 with a minimum grade of C; or MATH 155 or 158, with a grade of at least B; MATH 232 or 240, with a minimum grade of C. Students with credit for MATH 310 may not take this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Stephen Choi 
Mo, We, Fr
12:30 PM – 1:20 PM

EDB 7618, Burnaby 
D101 
Mo
4:30 PM – 5:20 PM

AQ 5005, Burnaby 

D102 
Tu
10:30 AM – 11:20 AM

WMC 2830, Burnaby 

D103 
Tu
11:30 AM – 12:20 PM

WMC 2830, Burnaby 

D104 
Tu
9:30 AM – 10:20 AM

WMC 2830, Burnaby 

D105 
Mo
5:30 PM – 6:20 PM

AQ 5005, Burnaby 

D400 
Justin Chan 
Mo, We, Fr
12:30 PM – 1:20 PM

SRYC 5280, Surrey 
D401 
We
2:30 PM – 3:20 PM

SRYC 2740, Surrey 

D402 
We
3:30 PM – 4:20 PM

SRYC 2740, Surrey 
Introduction to experimental physics with an emphasis on measurement and experimental design. Includes elementary experiments in mechanics designed to support and enrich conceptual learning. Corequisite: PHYS 101 or 120 or 125. Students with credit for PHYS 140 may not take PHYS 132 for further credit. Quantitative.
Introduction to experimental physics with an emphasis on measurement and experimental design. Includes elementary experiments in electromagnetism and optics designed to support and enrich conceptual learning. Prerequisite: PHYS 132 or 140 or ENSC 120 (no substitutions), with a minimum grade of C. Corequisite: PHYS 102 or 121 or 126. Students with credit for PHYS 141 may not take PHYS 133 for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

LA01 
Andrew Debenedictis 
Th
1:30 PM – 5:20 PM

SSCP 9412, Burnaby 
A seminar to expose students majoring in any Physics program to opportunities available with a physics degree. Seminar will include invited speakers, group discussions, and student presentations on topics including modern physics research, industrial physics, career opportunities, and communication and other professional skills. May be repeated once for credit. Graded as pass/fail (P/F). Prerequisite: PHYS 121 or PHYS 126 or PHYS 141, with a minimum grade of C, or PHYS 102 with a minimum grade of B.
An intermediate mechanics course covering kinematics, dynamics, calculus of variations and Lagrange's equations, noninertial reference frames, central forces and orbits, and rigid body motion. Prerequisite: MATH 251; MATH 232 or MATH 240; PHYS 255 or ENSC 380. All prerequisite courses require a minimum grade of C. Recommended Corequisite: MATH 260 or MATH 310. Quantitative.
Introduction to modern techniques in experimental physics, including computeraided data acquisition, electronics, control theory, and statistical data analysis. Prerequisite: PHYS 233 and PHYS 255, both with a minimum grade of C. Students with credit for PHYS 231 may not take this course for further credit. Quantitative.
The physics of vibrations and waves. Topics include periodic motion, including free and forced oscillations, coupled oscillators, normal modes, and waves in one and higher dimensions. Prerequisite: PHYS 126 or PHYS 121 or PHYS 141, with a minimum grade of C, or PHYS 102 with a minimum grade of B. Corequisite: MATH 251; MATH 232 or MATH 240. Recommended Corequisite: MATH 260 or MATH 310. Quantitative.
The concepts of quantum mechanics introduced through twolevel systems and explored in a way that requires only familiarity with general concepts of linear algebra. Introduction to concepts in classical and quantum information theory, bits and qubits, quantum dynamics, quantum communication and cryptography, and quantum circuits. Prerequisite: Either MATH 232 or MATH 240, with a minimum grade of C. Quantitative.
Basic laws of probability, sample distributions. Introduction to statistical inference and applications. Prerequisite: or Corequisite: MATH 152 or 155 or 158, with a minimum grade of C. Students wishing an intuitive appreciation of a broad range of statistical strategies may wish to take STAT 100 first. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Wei Lin 
We
11:30 AM – 12:20 PM
Fr 10:30 AM – 12:20 PM 
SSCB 9201, Burnaby AQ 3182, Burnaby 
OL01 
Gamage Perera 
TBD  
OP01  TBD 
and one of
A rigorous introduction to computing science and computer programming, suitable for students who already have some background in computing science and programming. Intended for students who will major in computing science or a related program. Topics include: memory management; fundamental algorithms; formally analyzing the running time of algorithms; abstract data types and elementary data structures; objectoriented programming and software design; specification and program correctness; reading and writing files; debugging tools; shell commands. Prerequisite: CMPT 120 or CMPT 130, with a minimum grade of C. Students with credit for CMPT 126, 129, 135 or CMPT 200 or higher may not take this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Janice Regan 
We
3:30 PM – 4:20 PM
Fr 2:30 PM – 4:20 PM 
AQ 3181, Burnaby AQ 3181, Burnaby 
D101 
Tu
10:30 AM – 11:20 AM

ASB 9838, Burnaby 

D102 
Tu
10:30 AM – 11:20 AM

ASB 9838, Burnaby 

D103 
Tu
11:30 AM – 12:20 PM

ASB 9838, Burnaby 

D104 
Tu
11:30 AM – 12:20 PM

ASB 9838, Burnaby 

D105 
Tu
12:30 PM – 1:20 PM

ASB 9838, Burnaby 

D106 
Tu
12:30 PM – 1:20 PM

ASB 9838, Burnaby 

D107 
Tu
1:30 PM – 2:20 PM

ASB 9838, Burnaby 

D108 
Tu
1:30 PM – 2:20 PM

ASB 9838, Burnaby 
A second course in computing science and programming intended for students studying mathematics, statistics or actuarial science and suitable for students who already have some background in computing science and programming. Topics include: a review of the basic elements of programming: use and implementation of elementary data structures and algorithms; fundamental algorithms and problem solving; basic objectoriented programming and software design; computation and computability and specification and program correctness. Prerequisite: CMPT 102 or CMPT 120, with a minimum grade of C. Students with credit for CMPT 125 or 135 may not take this course for further credit. Quantitative.
Computerbased approaches to solving complex physical problems. Includes topics such as MonteCarlo and molecular dynamics techniques applied to thermal properties of materials; dynamical behavior of systems, including chaotic motion; methods for ground state determination and optimization, including NewtonRaphson, simulated annealing, neural nets, and genetic algorithms: symplectic methods; and analysis of numerical data. Prerequisite: MATH 260 or MATH 310; PHYS 255; CMPT 120 or equivalent. All prerequisite courses require a minimum grade of C. Quantitative.
and one of
Designed for students specializing in mathematics, physics, chemistry, computing science and engineering. Topics as for Math 151 with a more extensive review of functions, their properties and their graphs. Recommended for students with no previous knowledge of Calculus. In addition to regularly scheduled lectures, students enrolled in this course are encouraged to come for assistance to the Calculus Workshop (Burnaby), or Math Open Lab (Surrey). Prerequisite: PreCalculus 12 (or equivalent) with a grade of at least B+, or MATH 100 with a grade of at least B, or achieving a satisfactory grade on the Simon Fraser University Calculus Readiness Test. Students with credit for either MATH 151, 154 or 157 may not take MATH 150 for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
MacKenzie Carr 
Mo, We, Fr
1:30 PM – 2:20 PM

BLU 9660, Burnaby 
D101 
Tu
8:30 AM – 9:20 AM

SWH 10061, Burnaby 

D102 
Tu
9:30 AM – 10:20 AM

SWH 10061, Burnaby 

D103 
Tu
10:30 AM – 11:20 AM

SWH 10061, Burnaby 

OP01  TBD 
Designed for students specializing in mathematics, physics, chemistry, computing science and engineering. Logarithmic and exponential functions, trigonometric functions, inverse functions. Limits, continuity, and derivatives. Techniques of differentiation, including logarithmic and implicit differentiation. The Mean Value Theorem. Applications of differentiation including extrema, curve sketching, Newton's method. Introduction to modeling with differential equations. Polar coordinates, parametric curves. Prerequisite: PreCalculus 12 (or equivalent) with a grade of at least A, or MATH 100 with a grade of at least B, or achieving a satisfactory grade on the Simon Fraser University Calculus Readiness Test. Students with credit for either MATH 150, 154 or 157 may not take MATH 151 for further credit. Quantitative.
and one of
A general calculusbased introduction to mechanics. Topics include translational and rotational motion, momentum, energy, gravitation, and selected topics in modern physics. Prerequisite: BC Principles of Physics 12 or PHYS 100 or equivalent, with a minimum grade of C. This prerequisite may be waived, at the discretion of the department, as determined by the student's performance on a regularly scheduled PHYS 100 final exam. Please consult the physics advisor for further details. Corequisite: MATH 150 or 151 or 154. Recommended Corequisite: PHYS 132. Students with credit for PHYS 101, 125 or 140 may not take this course for further credit. Quantitative/BreadthScience.
An enriched course in mechanics for students with good preparation in physics and mathematics. Special relativity and classical topics such as translational and rotational dynamics and conservation laws will be given a much more sophisticated treatment than in our other firstyear courses. Prerequisite: Permission of the department. Corequisite: MATH 151. Recommended Corequisite: PHYS 132. Students with credit for PHYS 101, 120 or PHYS 140 may not take PHYS 125 for further credit. Quantitative.
A general calculusbased introduction to mechanics taught in an integrated lecturelaboratory environment. Topics include translational and rotational motion, momentum, energy, gravitation, and selected topics in modern physics. Prerequisite: BC Principles of Physics 12, or PHYS 100 or equivalent, with a minimum grade of C. Corequisite: MATH 150 or 151 or 154. Students with credit for PHYS 125 or 120 or 101 may not take this course for further credit. Quantitative/BreadthScience.
and one of
A general calculusbased introduction to electricity, magnetism and optics. Topics include electricity, magnetism, simple circuits, optics and topics from applied physics. Prerequisite: PHYS 120 or 125 or 140, with a minimum grade of C, or PHYS 101 with a minimum grade of B. Corequisite: MATH 152 or 155. Recommended Corequisite: PHYS 133. Students with credit for PHYS 102, 126 or 141 may not take this course for further credit. Quantitative/BreadthScience.
Section  Instructor  Day/Time  Location 

D100 
Michael Chen 
Mo, We, Fr
9:30 AM – 10:20 AM

SSCC 9001, Burnaby 
D101 
Tu
1:30 PM – 2:20 PM

RCB 8104, Burnaby 

D102 
Tu
2:30 PM – 3:20 PM

WMC 3510, Burnaby 

D103 
Tu
3:30 PM – 4:20 PM

WMC 3253, Burnaby 

D104 
We
12:30 PM – 1:20 PM

AQ 5008, Burnaby 

D105 
We
1:30 PM – 2:20 PM

AQ 5008, Burnaby 

D106 
We
2:30 PM – 3:20 PM

AQ 5008, Burnaby 

D107 
We
3:30 PM – 4:20 PM

AQ 5007, Burnaby 

D108 
Th
1:30 PM – 2:20 PM

RCB 8104, Burnaby 

D109 
Th
2:30 PM – 3:20 PM

RCB 7105, Burnaby 

D111 
Tu
12:30 PM – 1:20 PM

RCB 6122, Burnaby 
An enriched course in electromagnetism for students with good preparation in physics and mathematics. Classical topics such as waves, electricity and magnetism, as well as wave particle duality and the birth of Quantum Mechanics, will be given a much more sophisticated treatment than in our other first year courses. Prerequisite: PHYS 125 with a minimum grade of C or permission of the department. Corequisite: MATH 152. Recommended Corequisite: PHYS 133. Students with credit in PHYS 102, 121 or 141 may not take this course for further credit. Quantitative.
A general calculusbased introduction to electricity, magnetism and optics taught in an integrated lecturelaboratory environment. Topics include electricity, magnetism, simple circuits, optics and topics from applied physics. Prerequisite: PHYS 120 or PHYS 125 or PHYS 140, with a minimum grade of C, or PHYS 101 with a minimum grade of B. Corequisite: MATH 152 or MATH 155. Students with credit for PHYS 126 or 121 or 102 may not take this course for further credit. Quantitative/BreadthScience.
It is recommended that students also complete CHEM 121 and 122.
* students with credit for PHYS 140 and 141 are not required to complete PHYS 132 or 133
** students with computing experience may be able to test out of CMPT 120
+ recommended
Upper Division Requirements
Complete all of
A presentation of the problems commonly arising in numerical analysis and scientific computing and the basic methods for their solutions. Prerequisite: MATH 152 or 155 or 158, and MATH 232 or 240, and computing experience. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Jane MacDonald 
Mo, We, Fr
10:30 AM – 11:20 AM

SSCB 9200, Burnaby 
D101 
We
2:30 PM – 3:20 PM

WMC 2830, Burnaby 

D102 
We
3:30 PM – 4:20 PM

WMC 2830, Burnaby 

D103 
We
4:30 PM – 5:20 PM

WMC 2830, Burnaby 

D104 
Th
9:30 AM – 10:20 AM

WMC 2830, Burnaby 

D105 
Th
10:30 AM – 11:20 AM

WMC 2830, Burnaby 

D106 
Th
11:30 AM – 12:20 PM

WMC 2830, Burnaby 

D107 
We
4:30 PM – 5:20 PM

AQ 5016, Burnaby 
The integers, fundamental theorem of arithmetic. Equivalence relations, modular arithmetic. Univariate polynomials, unique factorization. Rings and fields. Units, zero divisors, integral domains. Ideals, ring homomorphisms. Quotient rings, the ring isomorphism theorem. Chinese remainder theorem. Euclidean, principal ideal, and unique factorization domains. Field extensions, minimal polynomials. Classification of finite fields. Prerequisite: MATH 240 with a minimum grade of C or MATH 232 with a grade of at least B. Students with credit for MATH 332 may not take this course for further credit. Quantitative.
Firstorder linear equations, the method of characteristics. The wave equation. Harmonic functions, the maximum principle, Green's functions. The heat equation. Distributions and transforms. Higher dimensional eigenvalue problems. An introduction to nonlinear equations. Burgers' equation and shock waves. Prerequisite: (MATH 260 or MATH 310) and one of MATH 314, MATH 320, MATH 322, PHYS 384, all with a minimum grade of C. An alternative to the above prerequisite is both of (MATH 252 or MATH 254) and (MATH 260 or MATH 310), both with grades of at least A. Quantitative.
A detailed presentation of Einstein’s Special Theory of Relativity and how it revolutionized physics. Topics covered include: constancy of the speed of light, Lorentz transformations, time dilation, length contraction, relativistic paradoxes, spacetime diagrams, relativistic particle kinematics and dynamics, electromagnetism as a relativistic phenomenon, and an introduction to general relativity. Prerequisite: PHYS 121 or 126 or 141 (or PHYS 102 with a minimum grade of B); MATH 232 or 240; both with a minimum grade of C. Quantitative.
Development and application of Maxwell's equations in vector differential form. Notation and theorems of vector calculus; electric charge, fields, potentials, capacitance and field energy; conductors; methods for solving electrostatic problems; electric fields in matter; electrical current and the magnetic field; Ampere's law and the vector potential; magnetic fields in matter; electromotive force, electrical resistance, Faraday's law and inductance; Maxwell's correction to Ampere's law and electromagnetic waves. Prerequisite: PHYS 121 or PHYS 126 or PHYS 141 (or PHYS 102 with a minimum grade of B); MATH 252 or MATH 254; MATH 260 or MATH 310. All prerequisite courses require a minimum grade of C, unless specified. Quantitative.
Experiments investigating a range of physical phenomena such as Brownian motion, molecular order, chaotic dynamics, Doppler broadening of stellar spectra, and biophysical forces using techniques such as interference, optical trapping, and spectroscopy. Attention will also be given to more general skills, including experimental design, operating and troubleshooting experimental equipment, modeling of experimental results, data analysis, and the presentation of experimental results. Biological Physics students will do a selected set of experiments. Prerequisite: PHYS 233; PHYS 285 or CHEM 260; both with a minimum grade of C. Writing/Quantitative.
SternGerlach experiments and the structure of quantum mechanics; operators; angular momentum and spin; Schrödinger equation and examples for time evolution; systems of two spin½ particles; density operators; wave mechanics in one dimension including the double slit experiment, particle in a box, scattering in one dimension, tunnelling; onedimensional harmonic oscillator; coherent states. Prerequisite: MATH 252 or MATH 254; MATH 260; PHYS 255; PHYS 285 or ENSC 380 or CHEM 260. All prerequisite courses require a minimum grade of C. Recommended Prerequisite: PHYS 211. Quantitative.
and either Option A or Option B
Option A
Students who choose this option will complete all of
Central forces, rigid body motion, small oscillations. Lagrangian and Hamiltonian formulations of mechanics. Prerequisite: PHYS 384 or permission of the department. Nonphysics majors may enter with MATH 252; MATH 260 or MATH 310; PHYS 211. All prerequisite courses require a minimum grade of C. Quantitative.
Wave mechanics in three dimensions; orbital angular momentum and spherical harmonics; central potentials, hydrogen atom; timeindependent perturbation theory, Stark effect, Zeeman effect; identical particles, helium atom; scattering, Born approximation; timedependent perturbation theory, interaction picture. Prerequisite: PHYS 385; either PHYS 384 or MATH 314. All prerequisite courses require a minimum grade of C. Quantitative.
A continuation of PHYS 321: properties of electromagnetic waves and their interaction with matter. Transmission lines and waveguides; antennas, radiation and scattering; propagation of electromagnetic waves in free space and in matter; reflection and refraction at boundaries; polarization, interference and diffraction. Prerequisite: PHYS 321 (no substitution); PHYS 255 or ENSC 380; both with a minimum grade of C. Quantitative.
and six units of upper division MATH courses, including three units at the 400 level or higher
and either
three units of upper division PHYS
or
Undergraduate research and preparation of an honours thesis over the fall and the subsequent spring semesters. The research project may be in experimental or theoretical physics. Prospective students must obtain agreement of a faculty member willing to supervise the project. Prerequisite: All students interested in taking this course must consult with their faculty supervisor regarding prerequisites.
Section  Instructor  Day/Time  Location 

D100  TBD 
Option B
Students who choose this option will complete
Students will develop skills required for mathematical research. This course will focus on communication in both written and oral form. Students will write documents and prepare presentations in a variety of formats for academic and nonacademic purposes. The LaTeX document preparation system will be used. Course will be given on a pass/fail basis. Corequisite: MATH 499W. Students must have an approved project prior to enrollment.
An honours research project in mathematics is an original presentation of an area or problem in mathematics. A typical project is an original synthesis of knowledge generated from students research experience. A project can contain substantive, original mathematics, but need not. The presentation consists of a written report and an oral presentation both of which must be completed before the end of the exam period. Prerequisite: 18 units of upper division MATH or MACM courses. Must be in an honours program with a GPA of at least 3.0. Corequisite: MATH 498. Students must have an approved project prior to enrollment. Writing.
and nine units of 400 level MATH courses
and six units of upper division PHYS courses at the 400 level or higher
A maximum of six units from the research courses MATH 498, 499 and PHYS 432 may be used to satisfy the upper division requirements.
University Honours Degree Requirements
Students must also satisfy University degree requirements for degree completion.
Writing, Quantitative, and Breadth Requirements
Students admitted to Simon Fraser University beginning in the fall 2006 term must meet writing, quantitative and breadth requirements as part of any degree program they may undertake. See Writing, Quantitative, and Breadth Requirements for universitywide information.
WQB Graduation Requirements
A grade of C or better is required to earn W, Q or B credit
Requirement 
Units 
Notes  
W  Writing 
6 
Must include at least one upper division course, taken at Simon Fraser University within the student’s major subject  
Q  Quantitative 
6 
Q courses may be lower or upper division  
B  Breadth 
18 
Designated Breadth  Must be outside the student’s major subject, and may be lower or upper division 6 units Social Sciences: BSoc 6 units Humanities: BHum 6 units Sciences: BSci 
6 
Additional Breadth  6 units outside the student’s major subject (may or may not be Bdesignated courses, and will likely help fulfil individual degree program requirements) Students choosing to complete a joint major, joint honours, double major, two extended minors, an extended minor and a minor, or two minors may satisfy the breadth requirements (designated or not designated) with courses completed in either one or both program areas. 
Residency Requirements and Transfer Credit
 At least half of the program's total units must be earned through Simon Fraser University study.
 At least two thirds of the program's total upper division units must be earned through Simon Fraser University study.
Elective Courses
In addition to the courses listed above, students should consult an academic advisor to plan the remaining required elective courses.