Please note:
To view the Spring 2020 Academic Calendar go to www.sfu.ca/students/calendar/2020/spring.html
Applied Mathematics Major
Applied mathematics traditionally consists of areas of mathematics which are closely related to the physical sciences and engineering, but nowadays sophisticated mathematical tools are used across many disciplines, and applied mathematics has become increasingly computationally oriented.
The Department of Mathematics offers an applied mathematics major program. Students interested in applied mathematics may also wish to consider the joint honours program in mathematics and computer science, and the mathematical physics honours program, both of which include a substantial number of applied mathematics courses.
Prerequisite Grade Requirement
To enroll in a course offered by the Department of Mathematics, a student must obtain a grade of C or better in each prerequisite course. Some courses may require higher prerequisite grades. Check the MATH course’s Calendar description for details.
Students will not normally be permitted to enroll in any course for which a D grade or lower was obtained in any prerequisite. No student may complete, for further credit, any course offered by the Department of Mathematics which is a prerequisite for a course the student has already completed with a grade of C or higher, without permission of the department.
Program Requirements
Students complete 120 units, as specified below.
Lower Division Requirements
Students complete the following:
both 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 and be exposed to diverse fields within, and applications of computing science. Topics will include: pseudocode, data types and control structures, fundamental algorithms, computability and complexity, computer architecture, and history of computing science. 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, We, Fr 3:30 PM – 4:20 PM 
SSCB 9200, 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 computabiiity and specification and program correctness. Prerequisite: CMPT 102 or CMPT 120. Students with credit for CMPT 125 or 135 may not take this course for further credit. Quantitative.
(Students transferring into a math program should contact the math undergraduate advisor if they have already completed equivalent courses.)
or both of
An introduction to computing science and computer programming, using a systems oriented language, such as C or C++. This course introduces basic computing science concepts. Topics will include: elementary data types, control structures, functions, arrays and strings, fundamental algorithms, computer organization and memory management. Prerequisite: BC Math 12 (or equivalent, or any of MATH 100, 150, 151, 154, or 157). Students with credit for CMPT 102, 120, 128 or 166 may not take this course for further credit. Students who have taken CMPT 125, 129 or 135 first may not then take this course for further credit. Quantitative/BreadthScience.
A second course in systemsoriented programming and computing science that builds upon the foundation set in CMPT 130 using a systemsoriented language such as C or C++. Topics: a review of the basic elements of programming; introduction to objectoriented programming (OOP); techniques for designing and testing programs; use and implementation of elementary data structures and algorithms; introduction to embedded systems programming. Prerequisite: CMPT 130. Students with credit for CMPT 125, 126, or 129 may not take this course for further credit. Quantitative.
and all of
Using a mathematical software package for doing calculations in linear algebra. Development of computer models that analyze and illustrate applications of linear algebra. All calculations and experiments will be done in the Matlab software package. Topics include: largescale matrix calculations, experiments with cellular automata, indexing, searching and ranking pages on the internet, population models, data fitting and optimization, image analysis, and cryptography. Prerequisite: One of CMPT 102, 120, 126, 128 or 130 and one of MATH 150, 151, 154 or 157 and one of MATH 232 or 240. MATH 232 or 240 can be taken as corequisite. Students in excess of 80 units may not take MACM 203 for further credit. Quantitative.
Using a mathematical software package for doing computations from calculus. Development of computer models that analyze and illustrate applications of calculus. All calculations and experiments will be done in the Maple software package. Topics include: graphing functions and data, preparing visual aids for illustrating mathematical concepts, integration, Taylor series, numerical approximation methods, 3D visualization of curves and surfaces, multidimensional optimization, differential equations and disease spread models. Prerequisite: One of CMPT 102, 120, 126, 128 or 130 and MATH 251. MATH 251 can be taken as a corequisite. Students in excess of 80 units may not take MACM 204 for further credit. Quantitative.
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; 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 
Ralf Wittenberg 
Mo, We, Fr 1:30 PM – 2:20 PM 
RCB IMAGTH, Burnaby 
D200 
Randall Pyke 
Mo, We, Fr 9:30 AM – 10:20 AM 
SRYC 3090, 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. MATH 240 or 232 may be taken concurrently. Students with credit for MATH 254 may not take MATH 252 for further credit. Quantitative.
Basic laws of probability, sample distributions. Introduction to statistical inference and applications. Prerequisite: or Corequisite: MATH 152 or 155 or 158. 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 

C900 
Tim Swartz 
Distance Education  
D100 
Rachel Altman 
We 11:30 AM – 12:20 PM Fr 10:30 AM – 12:20 PM 
SSCB 9201, Burnaby AQ 3182, Burnaby 
OP01  TBD 
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 
Justin Chan 
Mo, We, Fr 1:30 PM – 2:20 PM 
AQ 3003, Burnaby 
D101 
Tu 2:30 PM – 3:20 PM 
WMC 2202, Burnaby 

D102 
Tu 3:30 PM – 4:20 PM 
WMC 2202, Burnaby 

D103 
We 2:30 PM – 3:20 PM 
AQ 5009, 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.
Designed for students specializing in the biological and medical sciences. Topics include: limits, growth rate and the derivative; elementary functions, optimization and approximation methods, and their applications; mathematical models of biological processes. Prerequisite: PreCalculus 12 (or equivalent) with a grade of at least B, or MATH 100 with a grade of at least C, or achieving a satisfactory grade on the Simon Fraser University Calculus Readiness Test. Students with credit for either MATH 150, 151 or 157 may not take MATH 154 for further credit. Quantitative.
Designed for students specializing in business or the social sciences. Topics include: limits, growth rate and the derivative; logarithmic, exponential and trigonometric functions and their application to business, economics, optimization and approximation methods; introduction to functions of several variables with emphasis on partial derivatives and extrema. Prerequisite: PreCalculus 12 (or equivalent) with a grade of at least B, or MATH 100 with a grade of at least C, or achieving a satisfactory grade on the Simon Fraser University Calculus Readiness Test. Students with credit for either MATH 150, 151 or 154 may not take MATH 157 for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Justin Chan 
Mo, We, Fr 11:30 AM – 12:20 PM 
SSCB 9200, Burnaby 
OP01  TBD 
and one of
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; 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 
Ralf Wittenberg 
Mo, We, Fr 8:30 AM – 9:20 AM 
SSCB 9201, Burnaby 
OP01  TBD 
Designed for students specializing in the biological and medical sciences. Topics include: the integral, partial derivatives, differential equations, linear systems, and their applications; mathematical models of biological processes. Prerequisite: MATH 150, 151 or 154; or MATH 157 with a grade of at least B. Students with credit for MATH 152 or 158 may not take this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Mahdieh Malekian 
Mo, We, Fr 8:30 AM – 9:20 AM 
AQ 3182, Burnaby 
OPO1  TBD 
Designed for students specializing in business or the social sciences. Topics include: theory of integration, integration techniques, applications of integration; functions of several variables with emphasis on double and triple integrals and their applications; introduction to differential equations with emphasis on some special firstorder equations and their applications; sequences and series. Prerequisite: MATH 150 or 151 or 154 or 157. Students with credit for MATH 152 or 155 may not take MATH 158 for further credit. Quantitative.
and one of
Linear equations, matrices, determinants. Introduction to vector spaces and linear transformations and bases. Complex numbers. Eigenvalues and eigenvectors; diagonalization. Inner products and orthogonality; least squares problems. An emphasis on applications involving matrix and vector calculations. Prerequisite: MATH 150 or 151; or MACM 101; or MATH 154 or 157, both with a grade of at least B. Students with credit for MATH 240 make not take this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D200 
Randall Pyke 
Mo, We, Fr 2:30 PM – 3:20 PM 
SRYC 2600, Surrey 
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; 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 
Manfred Trummer 
Mo, We, Fr 11:30 AM – 12:20 PM 
SWH 10041, Burnaby 
D101 
Th 9:30 AM – 10:20 AM 
WMC 2522, Burnaby 

D102 
Th 2:30 PM – 3:20 PM 
WMC 3535, Burnaby 

D103 
Th 3:30 PM – 4:20 PM 
WMC 3535, Burnaby 
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 must precede or be taken concurrently. 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 125 or MATH 151. 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 (or PHYS 101 with a grade of A or B). Corequisite: MATH 152 or 155 must precede or be taken concurrently. 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 
Neil Alberding 
Mo, We, Fr 9:30 AM – 10:20 AM 
SWH 10041, Burnaby 
D101 
Tu 12:30 PM – 1:20 PM 
AQ 5036, Burnaby 

D102 
Tu 1:30 PM – 2:20 PM 
AQ 5036, Burnaby 

D103 
Tu 2:30 PM – 3:20 PM 
BLU 10655, Burnaby 

D104 
Tu 3:30 PM – 4:20 PM 
RCB 5125, Burnaby 

D105 
We 12:30 PM – 1:20 PM 
AQ 5036, Burnaby 

D106 
We 1:30 PM – 2:20 PM 
AQ 5036, Burnaby 

D107 
We 2:30 PM – 3:20 PM 
AQ 5036, Burnaby 

D108 
We 3:30 PM – 4:20 PM 
AQ 5036, 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 or permission of the department. Corequisite: MATH 126 or MATH 152. 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.
and at least one of
Introduction to a variety of practical and important data structures and methods for implementation and for experimental and analytical evaluation. Topics include: stacks, queues and lists; search trees; hash tables and algorithms; efficient sorting; objectoriented programming; time and space efficiency analysis; and experimental evaluation. Prerequisite: (MACM 101 and ((CMPT 125 and 127), CMPT 129 or CMPT 135)) or (ENSC 251 and ENSC 252). Quantitative.
Section  Instructor  Day/Time  Location 

D100 
John Edgar 
Mo, We, Fr 9:30 AM – 10:20 AM 
SSCB 9201, Burnaby 
D101 
John Edgar 
We 10:30 AM – 11:20 AM 
ASB 9838, Burnaby 
D102 
John Edgar 
We 10:30 AM – 11:20 AM 
ASB 9838, Burnaby 
D103 
John Edgar 
We 11:30 AM – 12:20 PM 
ASB 9838, Burnaby 
D104 
John Edgar 
We 11:30 AM – 12:20 PM 
ASB 9838, Burnaby 
D105 
John Edgar 
We 12:30 PM – 1:20 PM 
ASB 9838, Burnaby 
D106 
John Edgar 
We 12:30 PM – 1:20 PM 
ASB 9838, Burnaby 
D107 
John Edgar 
We 1:30 PM – 2:20 PM 
ASB 9838, Burnaby 
D108 
John Edgar 
We 1:30 PM – 2:20 PM 
ASB 9838, Burnaby 
Fundamental electrical circuit quantities, and circuit elements; circuits laws such as Ohm law, Kirchoff's voltage and current laws, along with series and parallel circuits; operational amplifiers; network theorems; nodal and mesh methods; analysis of natural and step response of first (RC and RL), as well as second order (RLC) circuits; real, reactive and rms power concepts. In addition, the course will discuss the worker safety implications of both electricity and common laboratory practices such as soldering. Prerequisite: (PHYS 121 or PHYS 126 or PHYS 141), ENSC 120, MATH 232 and MATH 310. MATH 232 and/or MATH 310 may be taken concurrently. Students with credit for MSE 250 or SEE 230 cannot take this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Atousa Hajshirmohammadi 
Mo, We 10:30 AM – 12:20 PM 
AQ 3182, Burnaby 
D101 
Atousa Hajshirmohammadi 
TBD  
LA01 
Atousa Hajshirmohammadi 
Tu 8:30 AM – 10:50 AM 
ASB 9800, Burnaby 
LA02 
Atousa Hajshirmohammadi 
Th 10:30 AM – 12:50 PM 
ASB 9800, Burnaby 
LA03 
Atousa Hajshirmohammadi 
Th 4:30 PM – 6:50 PM 
ASB 9800, Burnaby 
This course will cover the following topics: fundamental electrical circuit quantities, and circuit elements; circuits laws such as Ohm law, Kirchoff's voltage and current laws, along with series and parallel circuits; operational amplifiers; network theorems; nodal and mesh methods; analysis of natural and step response of first (RC and RL), as well as second order (RLC) circuits; real, reactive and rms power concepts. In addition, the course will discuss the worker safety implications of both electricity and common laboratory practices such as soldering. Prerequisite: PHYS 121 and 131, or PHYS 126 and 131, or PHYS 141, and MATH 232 and 310. MATH 310 may be taken concurrently. Students with credit for SEE 230 or ENSC 220 may not take MSE 250 for further credit. Quantitative.
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: PHYS 126 or 121 or 141, with a minimum grade of C (or PHYS 102 with a minimum grade of B). Corequisite: MATH 251; MATH 232 or 240. Recommended: MATH 310 and PHYS 255. Quantitative.
This course is a continuation of STAT 270. Review of probability models. Procedures for statistical inference using survey results and experimental data. Statistical model building. Elementary design of experiments. Regression methods. Introduction to categorical data analysis. Prerequisite: STAT 270 and one of MATH 152, MATH 155, or MATH 158. Quantitative.
+ The following substitutions are also permitted.
They may not also be used to satisfy the upper division requirements below.
MACM 409  Numerical Linear Algebra: Algorithms, Implementation and Applications (3) for MACM 203.
MACM 401  Introduction to Computer Algebra (3) for MACM 204.
MACM 442  Cryptography (3) for MACM 204.
* strongly recommended
** with a B grade or better
Upper Division Requirements
Students complete a minimum of 30 units, including 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 
Manfred Trummer 
Mo, We, Fr 10:30 AM – 11:20 AM 
AQ 3181, Burnaby 
D101 
Mo 2:30 PM – 3:20 PM 
WMC 2830, Burnaby 

D102 
Mo 3:30 PM – 4:20 PM 
WMC 2830, Burnaby 

D103 
Mo 4:30 PM – 5:20 PM 
WMC 2830, Burnaby 

D104 
Tu 11:30 AM – 12:20 PM 
WMC 2830, Burnaby 

D105 
Tu 12:30 PM – 1:20 PM 
WMC 2830, Burnaby 

D106 
Tu 1:30 PM – 2:20 PM 
WMC 2830, Burnaby 
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; or MATH 155/158 with a grade of at least B, MATH 232 or 240. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Vijaykumar Singh 
Mo, We, Fr 12:30 PM – 1:20 PM 
RCB IMAGTH, 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 11:30 AM – 12:20 PM 
WMC 2830, Burnaby 

D105 
Th 12:30 PM – 1:20 PM 
WMC 2830, Burnaby 

D106 
Th 1:30 PM – 2:20 PM 
WMC 2830, Burnaby 

D107 
We 1:30 PM – 2:20 PM 
WMC 2830, Burnaby 

D108 
Th 10:30 AM – 11:20 AM 
WMC 2830, Burnaby 

D200 
Randall Pyke 
Mo, We, Fr 12:30 PM – 1:20 PM 
SRYC 3310, Surrey 
D201 
We 2:30 PM – 3:20 PM 
SRYC 3290, Surrey 

D202 
We 3:30 PM – 4:20 PM 
SRYC 3290, Surrey 

D203 
We 1:30 PM – 2:20 PM 
SRYC 3290, Surrey 
Fourier series, ODE boundary and eigenvalue problems. Separation of variables for the diffusion wave and Laplace/Poisson equations. Polar and spherical coordinate systems. Symbolic and numerical computing, and graphics for PDEs. Prerequisite: MATH 310; and one of MATH 251 with a grade of B+, or one of MATH 252 or 254. 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 310 and one of MATH 314, 320, 322, PHYS 384. An alternative to the above prerequisite is both of MATH 254 and MATH 310, both with grades of at least A. Quantitative.
and at least one of
Formulation, analysis and numerical solution of continuous mathematical models. Applications may be selected from topics in physics, biology, engineering and economics. Prerequisite: MATH 310 and one of MATH 314, MACM 316, MATH 418, PHYS 384. An alternative to the above prerequisite is both of MATH 251 and MATH 310, both with grades of at least B+. Students with credit for MATH 361 or MATH 761 may not complete this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Steven Ruuth 
Mo 10:30 AM – 12:20 PM We 10:30 AM – 11:20 AM 
SWH 10051, Burnaby SWH 10061, Burnaby 
Incompressible fluid flow phenomena: kinematics and equations of motion, viscous flow and boundary layer theory, potential flow, water waves. Aerodynamics. Prerequisite: one of MATH 314, MATH 418, PHYS 384. An alternative to the above prerequisite is both of MATH 251 and MATH 310, both with grades of at least B+. Quantitative.
Stability and bifurcation in continuous and discrete dynamical systems, with applications. The study of the local and global behaviour of linear and nonlinear systems, including equilibria and periodic orbits, phase plane analysis, conservative systems, limit cycles, the PoincareBendixson theorem, Hopf bifurcation and an introduction to chaos. Prerequisite: MATH 310. Quantitative.
and at least two of
Data structures and algorithms for mathematical objects. Topics include long integer arithmetic, computing polynomial greatest common divisors, the fast Fourier transform, Hensel's lemma and padic methods, differentiation and simplification of formulae, and polynomial factorization. Students will use a computer algebra system such as Maple for calculations and programming. Prerequisite: CMPT 307 or MATH 332 or MATH 340. Quantitative.
Development of numerical methods for solving linear algebra problems at the heart of many scientific computing problems. Mathematical foundations for the use, implementation and analysis of the algorithms used for solving many optimization problems and differential equations. Prerequisite: MATH 251, MACM 316, programming experience. Quantitative.
Linear Algebra. Vector space and matrix theory. Prerequisite: MATH 340 or 332 or permission of the instructor. Students with credit for MATH 438 may not take this course for further credit. Quantitative.
Structures and algorithms, generating elementary combinatorial objects, counting (integer partitions, set partitions, Catalan families), backtracking algorithms, branch and bound, heuristic search algorithms. Prerequisite: MACM 201 (with a grade of at least B). Recommended: knowledge of a programming language. Quantitative.
Fundamental concepts, trees and distances, matchings and factors, connectivity and paths, network flows, integral flows. Prerequisite: MACM 201 (with a grade of at least B). Quantitative.
Convergence in Euclidean spaces, Fourier series and their convergence, Legendre polynomials, Hermite and Laguerre polynomials. Prerequisite: MATH 232 or 240 and one of MATH 314, 320, 322, PHYS 384. Students with credit for MATH 420 or MATH 719 may not complete this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Paul Tupper 
Mo 12:30 PM – 2:20 PM We 12:30 PM – 1:20 PM 
SWH 10061, Burnaby SWH 10051, Burnaby 
Metric spaces, normed vector spaces, measure and integration, an introduction to functional analysis. Prerequisite: MATH 320. Quantitative.
Formulation, analysis and numerical solution of continuous mathematical models. Applications may be selected from topics in physics, biology, engineering and economics. Prerequisite: MATH 310 and one of MATH 314, MACM 316, MATH 418, PHYS 384. An alternative to the above prerequisite is both of MATH 251 and MATH 310, both with grades of at least B+. Students with credit for MATH 361 or MATH 761 may not complete this course for further credit. Quantitative.
Section  Instructor  Day/Time  Location 

D100 
Steven Ruuth 
Mo 10:30 AM – 12:20 PM We 10:30 AM – 11:20 AM 
SWH 10051, Burnaby SWH 10061, Burnaby 
Incompressible fluid flow phenomena: kinematics and equations of motion, viscous flow and boundary layer theory, potential flow, water waves. Aerodynamics. Prerequisite: one of MATH 314, MATH 418, PHYS 384. An alternative to the above prerequisite is both of MATH 251 and MATH 310, both with grades of at least B+. Quantitative.
Stability and bifurcation in continuous and discrete dynamical systems, with applications. The study of the local and global behaviour of linear and nonlinear systems, including equilibria and periodic orbits, phase plane analysis, conservative systems, limit cycles, the PoincareBendixson theorem, Hopf bifurcation and an introduction to chaos. Prerequisite: MATH 310. Quantitative.
Procedures of Euler, Lagrange and Hamilton. Extremum problems, stationary values of integrals. Canonical equations of motion, phase space, Lagrangian and Poisson brackets. Prerequisite: MATH 310 and one of MATH 314, 320, 322, PHYS 384. An alternative to the above prerequisite is both of MATH 254 and MATH 310, both with grades of at least A. Quantitative.
The topics included in this course will vary from term to term depending on faculty availability and student interest. Prerequisite: Will be specified according to the particular topic or topics offered under this course number.
Review of discrete and continuous probability models and relationships between them. Exploration of conditioning and conditional expectation. Markov chains. Random walks. Continuous time processes. Poisson process. Markov processes. Gaussian processes. Prerequisite: STAT 330, or all of: STAT 285, MATH 208W, and MATH 251. Quantitative.
and one additional upper division MATH or MACM course, or any preapproved quantitative upper division course offered by the Faculties of Applied Sciences, Arts and Social Sciences, Beedie School of Business or Faculty of Science. This course, if other than MATH or MACM, must be preapproved by a department advisor. Students are encouraged to explore the option of completing courses outside the department and to discuss possibilities with a department advisor. Choices from the third group ("at least two of") must not include the course used to satisfy the second group ("at least one of"). At least three of the courses used to satisfy the upper division requirements must be at the 400 division.
NOTE: SFU students enrolled in the Accelerated Master's degree program within the Department of Mathematics may apply a maximum of 10 graduate course units, taken while completing the bachelor's degree, towards the upper division undergraduate electives of the bachelor's program and the requirements of the master's degree. For more information go to: http://www.sfu.ca/deangradstudies/future/academicprograms/AcceleratedMasters.html.
Other Requirements
At least 44 of the units must be at the upper division. In the courses used to satisfy the upper division requirements, a grade point average (GPA) of at least 2.00 is required. In addition, University regulations require a cumulative GPA of at least 2.00 and an upper division GPA of at least 2.00.
These averages are computed on all courses completed at the University. See Grade Point Averages Needed for Graduation.
In addition to the above requirements, students must also satisfy Faculty of Science major program requirements as follows.
University 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.