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Code | Title | Credits |
---|---|---|
Required Courses | ||
Select at least 3 of 4 core courses | 9 | |
Algebraic Structures I | ||
Analysis Sequence | ||
Measure Theory | ||
Point Set Topology | ||
Statistical Inference | ||
Select five additional courses in core areas | 15 | |
Dissertation Research | ||
MATH 6990 | Dissertation Research (taken over multiple semesters, 12hrs total) | 0-6 |
Elective Courses | ||
Eight additional MATH or STAT courses at the 5000-level or above. | 24 | |
Total Credits | 60 |
Written examinations.
Ph.D. students must pass three written examinations. Two of these examinations are from the core subject areas: algebra, analysis, topology, and statistics. The exams cover the topics from the associated core subject area course: MATH 5110 (Algebraic Structures I), MATH 5210 (Measure Theory), MATH 5310 (Point Set Topology), or STAT 5850 (Statistical Inference) and must be taken at the next exam opportunity following completion of the associated course. The third exam covers advanced topics from one area of specialization from among algebra, analysis, statistics, and topology. The area of specialization is the student’s expected dissertation area and the topics are chosen from two advanced courses taken by the student in that subject area. The specific topics are chosen by the Graduate Program Coordinator in consultation with the student. These examinations are given twice each year – January and August. All exams must be completed prior to the student’s seventh semester in the program. A student who fails three written examinations cannot continue in the Ph.D. program.
After a Ph.D. student has completed the written examinations and chosen a dissertation advisor and an area of research, she or he must pass an oral examination administered by a committee of five faculty members. This oral examination involves a presentation on the student’s area of intended research, followed by questions from the examiners.
After passing the written and oral Ph.D. examinations, the student is eligible to “advance to candidacy.” This step involves writing a prospectus for the dissertation and identifying the three faculty members who will serve as readers of the student’s dissertation. Students who want to apply for certain Graduate School fellowships, such as Dissertation Fellowships, must have advanced to candidacy. The culminating requirement for the Ph.D. degree is writing and successfully defending a dissertation that presents the results of the original and independent mathematical research that the student has carried out, with the guidance of a faculty member. The student must also complete 12 credits hours of MATH 6990 Dissertation Research .
Students who enter the Ph.D. program with a bachelor’s degree in mathematics must complete 48 credit hours (16 courses) in mathematics at the 4000 level or higher, in addition to twelve hours of Dissertation Research ( MATH 6990 ) . At most 6 of these 48 hours can be at the 4000-level with the remaining 42 hours at the 5000 or 6000-level. For those who enter with a master’s degree in mathematics, the requirement is 24 hours (8 courses) of coursework at the 5000 or 6000-level plus twelve hours of dissertation research. All Ph.D. students must complete eight core subject area courses at the 5000-level or higher in algebra, analysis, statistics, or topology. These eight courses can be distributed in two different ways
Beyond these required courses, students choose a set of courses that provide them with a broad knowledge of mathematics and a deep understanding of their intended research area. The department offers a variety of electives and advanced topics courses on a rotating basis. Full time students typically take three courses each semester, including reading courses and dissertation research.
Roadmaps are recommended semester-by-semester plans of study for programs and assume full-time enrollment unless otherwise noted.
Courses and milestones designated as critical (marked with !) must be completed in the semester listed to ensure a timely graduation. Transfer credit may change the roadmap.
This roadmap should not be used in the place of regular academic advising appointments. All students are encouraged to meet with their advisor/mentor each semester. Requirements, course availability and sequencing are subject to change.
Year One | ||
---|---|---|
Fall | Credits | |
Participation in first-year mentoring program | ||
MATH 5080 | Probability Theory | 3 |
MATH 5130 | Computational Algebra | 3 |
MATH 5310 | Point Set Topology | 3 |
Credits | 9 | |
Spring | ||
MATH 5110 | Algebraic Structures I | 3 |
MATH 5220 | Complex Analysis | 3 |
MATH 6310 | Algebraic Topology | 3 |
Credits | 9 | |
Year Two | ||
Fall | ||
Algebra core written examination (August) | ||
MATH 5210 | Measure Theory | 3 |
MATH 5360 | Applied Topology and the Shape of Data | 3 |
MATH or STAT graduate elective | 3 | |
Credits | 9 | |
Spring | ||
Analysis core written examination (January) | ||
MATH 5015 | Number Theory | 3 |
MATH 5022 | Metric Spaces | 3 |
MATH 5140 | Algebraic Combinatorics | 3 |
Credits | 9 | |
Year Three | ||
Fall | ||
Algebra specialization written examination (August) | ||
MATH 6990 | Dissertation Research | 3 |
MATH 5XXX or 6XXX | Topics course or Graduate Reading Course | 3 |
Credits | 6 | |
Spring | ||
MATH 6990 | Dissertation Research | 3 |
MATH 5XXX or 6XXX | Topics course or Graduate Reading Course | 3 |
Credits | 6 | |
Year Four | ||
Fall | ||
MATH 6990 | Dissertation Research | 3 |
MATH 5XXX or 6XXX | Topics course or Graduate Reading Course | 3 |
Credits | 6 | |
Spring | ||
MATH 6990 | Dissertation Research | 3 |
MATH 5XXX or 6XXX | Topics course or Graduate Reading Course | 3 |
Credits | 6 | |
Total Credits | 60 |
This is presented as one example of how a student could complete the Ph.D. in four years, or perhaps an additional two semesters of dissertation research would lead to a five-year Ph.D.
Students who enter the Ph.D. program with a bachelor’s degree in mathematics must complete 48 credit hours (16 courses) in mathematics at the 4000 level or higher, in addition to 12 hours of MATH 6990 Dissertation Research . At most six of these 48 hours can be at the 4000-level with the remaining 42 hours at the 5000 or 6000-level. For those who enter with a master’s degree in mathematics, the requirement is 24 hours (eight courses) of coursework at the 5000 or 6000-level plus 12 hours of dissertation research. All Ph.D. students must complete eight core subject area courses at the 5000-level or higher in algebra, analysis, statistics, or topology. These eight courses can be distributed in two different ways
Beyond these required courses, students choose a set of courses that provide them with a broad knowledge of mathematics and a deep understanding of their intended research area. The department offers a variety of electives and advanced topics courses on a rotating basis. Full-time students typically take three courses each semester, including reading courses and dissertation research.
For more information about our program, please contact:
Benjamin Hutz, Ph.D. Graduate program coordinator Department of Mathematics and Statistics [email protected]
Student services, fall calendar.
To view the Summer 2024 Academic Calendar, go to www.sfu.ca/students/calendar/2024/summer.html .
This program leads to a bachelor of science (BSc) degree.
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.
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.
Students complete 120 units, as specified below.
Students complete
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 high-level 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 problem-solving 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/Breadth-Science.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Toby Donaldson | Sep 4 – Dec 3, 2024: Mon, 2:30–4:20 p.m. Sep 4 – Dec 3, 2024: Wed, 2:30–3:20 p.m. | Burnaby Burnaby | |
Nicholas Vincent | Sep 4 – Dec 3, 2024: Mon, 2:30–3:20 p.m. Sep 4 – Dec 3, 2024: Thu, 2:30–4:20 p.m. | Burnaby Burnaby | |
Brian Fraser | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m. | Surrey | |
D401 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 2:30–3:20 p.m. | Surrey |
D402 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 2:30–3:20 p.m. | Surrey |
D403 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 3:30–4:20 p.m. | Surrey |
D404 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 3:30–4:20 p.m. | Surrey |
D405 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 4:30–5:20 p.m. | Surrey |
D406 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 4:30–5:20 p.m. | Surrey |
D407 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 5:30–6:20 p.m. | Surrey |
D408 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 5:30–6:20 p.m. | Surrey |
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; object-oriented 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 |
---|---|---|---|
Janice Regan | Sep 4 – Dec 3, 2024: Mon, 4:30–5:20 p.m. Sep 4 – Dec 3, 2024: Thu, 4:30–6:20 p.m. | Burnaby Burnaby | |
E101 | Janice Regan | Sep 4 – Dec 3, 2024: Mon, 12:30–1:20 p.m. | Burnaby |
E102 | Janice Regan | Sep 4 – Dec 3, 2024: Mon, 12:30–1:20 p.m. | Burnaby |
E103 | Janice Regan | Sep 4 – Dec 3, 2024: Mon, 1:30–2:20 p.m. | Burnaby |
E104 | Janice Regan | Sep 4 – Dec 3, 2024: Mon, 1:30–2:20 p.m. | Burnaby |
E105 | Janice Regan | Sep 4 – Dec 3, 2024: Mon, 2:30–3:20 p.m. | Burnaby |
E106 | Janice Regan | Sep 4 – Dec 3, 2024: Mon, 2:30–3:20 p.m. | Burnaby |
E107 | Janice Regan | Sep 4 – Dec 3, 2024: Mon, 3:30–4:20 p.m. | Burnaby |
E108 | Janice Regan | Sep 4 – Dec 3, 2024: Mon, 3:30–4:20 p.m. | Burnaby |
(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 , with a minimum grade of C-). 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/Breadth-Science.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Brian Fraser | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 10:30–11:20 a.m. | Surrey | |
D101 | Brian Fraser | Sep 4 – Dec 3, 2024: Wed, 9:30–10:20 a.m. | Surrey |
D102 | Brian Fraser | Sep 4 – Dec 3, 2024: Tue, 11:30 a.m.–12:20 p.m. | Surrey |
D103 | Brian Fraser | Sep 4 – Dec 3, 2024: Tue, 11:30 a.m.–12:20 p.m. | Surrey |
D104 | Brian Fraser | Sep 4 – Dec 3, 2024: Tue, 12:30–1:20 p.m. | Surrey |
D105 | Brian Fraser | Sep 4 – Dec 3, 2024: Tue, 12:30–1:20 p.m. | Surrey |
D106 | Brian Fraser | Sep 4 – Dec 3, 2024: Tue, 1:30–2:20 p.m. | Surrey |
D107 | Brian Fraser | Sep 4 – Dec 3, 2024: Tue, 1:30–2:20 p.m. | Surrey |
D108 | Brian Fraser | Sep 4 – Dec 3, 2024: Tue, 2:30–3:20 p.m. | Surrey |
A second course in systems-oriented programming and computing science that builds upon the foundation set in CMPT 130 using a systems-oriented language such as C or C++. Topics: a review of the basic elements of programming; introduction to object-oriented 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 with a minimum grade of C-. Students with credit for CMPT 125 , 126, or 129 may not take this course for further credit. Quantitative.
Introduction to graph theory, trees, induction, automata theory, formal reasoning, modular arithmetic. Prerequisite: BC Math 12 (or equivalent), or any of MATH 100 , 150 , 151 , 154 , 157 . Quantitative/Breadth-Science.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Steve Pearce | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 9:30–10:20 a.m. | Burnaby | |
D101 | Steve Pearce | Sep 4 – Dec 3, 2024: Fri, 10:30–11:20 a.m. | Burnaby |
D102 | Steve Pearce | Sep 4 – Dec 3, 2024: Fri, 10:30–11:20 a.m. | Burnaby |
D103 | Steve Pearce | Sep 4 – Dec 3, 2024: Fri, 11:30 a.m.–12:20 p.m. | Burnaby |
D104 | Steve Pearce | Sep 4 – Dec 3, 2024: Fri, 11:30 a.m.–12:20 p.m. | Burnaby |
D105 | Steve Pearce | Sep 4 – Dec 3, 2024: Fri, 12:30–1:20 p.m. | Burnaby |
D106 | Steve Pearce | Sep 4 – Dec 3, 2024: Fri, 12:30–1:20 p.m. | Burnaby |
D107 | Steve Pearce | Sep 4 – Dec 3, 2024: Fri, 1:30–2:20 p.m. | Burnaby |
D108 | Steve Pearce | Sep 4 – Dec 3, 2024: Fri, 1:30–2:20 p.m. | Burnaby |
Kay C Wiese | Sep 4 – Dec 3, 2024: Thu, 2:30–5:20 p.m. | Burnaby | |
D201 | Kay C Wiese | Sep 4 – Dec 3, 2024: Tue, 11:30 a.m.–12:20 p.m. | Burnaby |
D202 | Kay C Wiese | Sep 4 – Dec 3, 2024: Tue, 11:30 a.m.–12:20 p.m. | Burnaby |
D203 | Kay C Wiese | Sep 4 – Dec 3, 2024: Tue, 12:30–1:20 p.m. | Burnaby |
D204 | Kay C Wiese | Sep 4 – Dec 3, 2024: Tue, 12:30–1:20 p.m. | Burnaby |
D205 | Kay C Wiese | Sep 4 – Dec 3, 2024: Thu, 8:30–9:20 a.m. | Burnaby |
D206 | Kay C Wiese | Sep 4 – Dec 3, 2024: Thu, 8:30–9:20 a.m. | Burnaby |
D207 | Kay C Wiese | Sep 4 – Dec 3, 2024: Thu, 9:30–10:20 a.m. | Burnaby |
D208 | Kay C Wiese | Sep 4 – Dec 3, 2024: Thu, 9:30–10:20 a.m. | Burnaby |
Harinder Khangura | Sep 4 – Dec 3, 2024: Tue, 4:30–7:20 p.m. | Surrey | |
E101 | Harinder Khangura | Sep 4 – Dec 3, 2024: Mon, 2:30–3:20 p.m. | Surrey |
E102 | Harinder Khangura | Sep 4 – Dec 3, 2024: Mon, 2:30–3:20 p.m. | Surrey |
E103 | Harinder Khangura | Sep 4 – Dec 3, 2024: Mon, 3:30–4:20 p.m. | Surrey |
E104 | Harinder Khangura | Sep 4 – Dec 3, 2024: Mon, 3:30–4:20 p.m. | Surrey |
E105 | Harinder Khangura | Sep 4 – Dec 3, 2024: Mon, 4:30–5:20 p.m. | Surrey |
E106 | Harinder Khangura | Sep 4 – Dec 3, 2024: Mon, 4:30–5:20 p.m. | Surrey |
E107 | Harinder Khangura | Sep 4 – Dec 3, 2024: Mon, 1:30–2:20 p.m. | Surrey |
E108 | Harinder Khangura | Sep 4 – Dec 3, 2024: Mon, 1:30–2:20 p.m. | Surrey |
A continuation of MACM 101 . Topics covered include graph theory, trees, inclusion-exclusion, generating functions, recurrence relations, and optimization and matching. Prerequisite: MACM 101 or ( ENSC 251 and one of MATH 232 or MATH 240 ). Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Nils Bruin | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 12:30–1:20 p.m. | Burnaby | |
OP01 | TBD |
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: large-scale 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, multi-dimensional 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.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Michael Monagan | Sep 4 – Dec 3, 2024: Wed, 4:30–5:20 p.m. | Burnaby | |
E101 | Sep 4 – Dec 3, 2024: Thu, 9:30–10:20 a.m. | Burnaby | |
E102 | Sep 4 – Dec 3, 2024: Thu, 10:30–11:20 a.m. | Burnaby | |
E103 | Sep 4 – Dec 3, 2024: Thu, 11:30 a.m.–12:20 p.m. | Burnaby |
Mathematical induction. Limits of real sequences and real functions. Continuity and its consequences. The mean value theorem. The fundamental theorem of calculus. Series. Prerequisite: MATH 152 with a minimum grade of C-; or MATH 155 or 158 with a grade of B. 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 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 |
---|---|---|---|
Weiran Sun Weiran Sun | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Burnaby | |
Justin Gray | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Burnaby | |
Justin Chan | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Surrey | |
OP01 | TBD | ||
OP02 | TBD |
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 |
---|---|---|---|
Lloyd Elliott | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 9:30–10:20 a.m. | Burnaby | |
Tim Swartz | Online | ||
OP01 | TBD |
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: Pre-Calculus 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 |
---|---|---|---|
Jamie Mulholland | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Burnaby | |
D101 | Sep 4 – Dec 3, 2024: Tue, 8:30–9:20 a.m. | Burnaby | |
D102 | Sep 4 – Dec 3, 2024: Tue, 9:30–10:20 a.m. | Burnaby | |
D103 | Sep 4 – Dec 3, 2024: Tue, 10:30–11:20 a.m. | Burnaby | |
D104 | Sep 4 – Dec 3, 2024: Wed, 2:30–3:20 p.m. | Burnaby | |
D105 | Sep 4 – Dec 3, 2024: Wed, 3:30–4:20 p.m. | Burnaby | |
Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Burnaby | ||
D201 | Sep 4 – Dec 3, 2024: Tue, 8:30–9:20 a.m. | Burnaby | |
D202 | Sep 4 – Dec 3, 2024: Tue, 1:30–2:20 p.m. | Burnaby | |
D203 | Sep 4 – Dec 3, 2024: Tue, 2:30–3:20 p.m. | Burnaby | |
D204 | Sep 4 – Dec 3, 2024: Tue, 11:30 a.m.–12:20 p.m. | Burnaby | |
D205 | Sep 4 – Dec 3, 2024: Tue, 4:30–5:20 p.m. | Burnaby | |
Natalia Kouzniak | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 9:30–10:20 a.m. | Surrey | |
D401 | Sep 4 – Dec 3, 2024: Thu, 12:30–1:20 p.m. | Surrey | |
D402 | Sep 4 – Dec 3, 2024: Thu, 1:30–2:20 p.m. | Surrey | |
D403 | Sep 4 – Dec 3, 2024: Thu, 2:30–3:20 p.m. | Surrey | |
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: Pre-Calculus 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.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Jamie Mulholland | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Burnaby | |
Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Burnaby | ||
Natalia Kouzniak | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 9:30–10:20 a.m. | Surrey | |
OP01 | TBD | ||
OP04 | TBD |
Designed for students specializing in the life sciences. Topics include: limits, growth rate and the derivative; elementary functions, optimization and approximation methods, and their applications, integration, and differential equations; mathematical models of biological processes and their implementation and analysis using software. Prerequisite: Pre-Calculus 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.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Cedric Chauve | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Burnaby | |
Ladislav Stacho | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 9:30–10:20 a.m. | Surrey | |
OP01 | TBD | ||
OP02 | TBD |
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: Pre-Calculus 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 |
---|---|---|---|
Katrina Honigs Katrina Honigs | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m. | Burnaby | |
Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 12:30–1:20 p.m. | Surrey | ||
OP01 | TBD | ||
OP02 | TBD |
Riemann sum, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. First-order 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 |
---|---|---|---|
Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m. | Burnaby | ||
OP01 | TBD |
Designed for students specializing in the life sciences. Topics include: vectors and matrices, partial derivatives, multi-dimensional integrals, systems of differential equations, compartment models, graphs and networks, and their applications to the life sciences; mathematical models of multi-component biological processes and their implementation and analysis using software. Prerequisite: MATH 150 , 151 or 154 , with a minimum grade of C-; 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.
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 first-order equations and their applications; sequences and series. Prerequisite: MATH 150 or 151 or 154 or 157 , with a minimum grade of C-. Students with credit for MATH 152 or 155 may not take MATH 158 for further credit. Quantitative.
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 , with a minimum grade of C-; or MATH 154 or 157 , both with a grade of at least B. Students with credit for MATH 240 may not take this course for further credit. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Saieed Akbari Feyzaabaadi | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m. | Burnaby | |
Vijaykumar Singh | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 1:30–2:20 p.m. | Surrey | |
OP01 | TBD | ||
OP02 | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 1:30–2:20 p.m. | |
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 |
---|---|---|---|
Michael Monagan | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m. | Burnaby | |
OP01 | TBD |
and an additional six units from the Faculty of Science outside of the departments of Mathematics and Statistics and Actuarial Science and excluding PHYS 100, BISC 100 and CHEM 110/111.
+ 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
Students complete a minimum of 30 program units, including the 15 outlined below.
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.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Nathan Ilten | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m. | Burnaby | |
D102 | Sep 4 – Dec 3, 2024: Tue, 3:30–4:20 p.m. | Burnaby | |
D103 | Sep 4 – Dec 3, 2024: Tue, 4:30–5:20 p.m. | Burnaby |
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 minimum grade of C-. Recommended: Knowledge of a programming language. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Luis Goddyn | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 9:30–10:20 a.m. | Burnaby | |
D101 | Sep 4 – Dec 3, 2024: Tue, 12:30–1:20 p.m. | Burnaby |
Fundamental concepts, trees and distances, matchings and factors, connectivity and paths, network flows, integral flows. Prerequisite: MACM 201 with a minimum grade of C-. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Bojan Mohar | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 3:30–4:20 p.m. | Burnaby | |
D101 | Sep 4 – Dec 3, 2024: Thu, 2:30–3:20 p.m. | Burnaby |
Model building using integer variables, computer solution, relaxations and lower bounds, heuristics and upper bounds, branch and bound algorithms, cutting plane algorithms, valid inequalities and facets, branch and cut algorithms, Lagrangian duality, column generation of algorithms, heuristics algorithms and analysis. Prerequisite: MATH 308 with a minimum grade of C-. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Tamon Stephen | Sep 4 – Dec 3, 2024: Mon, 2:30–4:20 p.m. Sep 4 – Dec 3, 2024: Wed, 2:30–3:20 p.m. | Surrey Surrey |
Design theory: Steiner triple systems, balanced incomplete block designs, latin squares, finite geometries. Enumeration: generating functions. Burnside's Lemma, Polya counting. Prerequisite: MATH 340 with a minimum grade of C- and either MATH 343 with a minimum grade of C- or MACM 201 with a minimum grade of B+. Quantitative.
An introduction to the theory and practice of error-correcting codes. Topics will include finite fields, polynomial rings, linear and non-linear codes, BCH codes, convolutional codes, majority logic decoding, weight distribution of codes, and bounds on the size of codes. Prerequisite: MATH 340 or 332, with a minimum grade of C-. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Jonathan Jedwab | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m. | Burnaby |
Sequences and series of functions, topology of sets in Euclidean space, introduction to metric spaces, functions of several variables. Prerequisite: MATH 242 and 251 , with a minimum grade of C-. Quantitative.
Functions of a complex variable, differentiability, contour integrals, Cauchy's theorem, Taylor and Laurent expansions, method of residues. Prerequisite: MATH 251 with a minimum grade of C-. Students with credit for MATH 424 may not take this course for further credit. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
David Muraki David Muraki | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 1:30–2:20 p.m. | Burnaby | |
D101 | Sep 4 – Dec 3, 2024: Thu, 11:30 a.m.–12:20 p.m. | Burnaby | |
D102 | Sep 4 – Dec 3, 2024: Thu, 12:30–1:20 p.m. | Burnaby | |
D103 | Sep 4 – Dec 3, 2024: Thu, 1:30–2:20 p.m. | Burnaby |
Linear Algebra. Vector space and matrix theory. Prerequisite: MATH 340 or 332, with a minimum grade of C- or permission of the instructor. Students with credit for MATH 438 may not take this course for further credit. Quantitative.
Finite groups and subgroups. Cyclic groups and permutation groups. Cosets, normal subgroups and factor groups. Homomorphisms and isomorphisms. Fundamental theorem of finite abelian groups. Sylow theorems. Prerequisite: MATH 340 or 342 or 332, with a minimum grade of C-. Students with credit for MATH 339 may not take this course for further credit.
The prime numbers, unique factorization, congruences and quadratic reciprocity. Topics include the RSA public key cryptosystem and the prime number theorem. Prerequisite: MATH 240 or 232 , with a minimum grade of C-, and one additional 200-level MATH or MACM course. Quantitative.
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 |
---|---|---|---|
Ralf Wittenberg | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 1:30–2:20 p.m. | Burnaby | |
D101 | Sep 4 – Dec 3, 2024: Wed, 2:30–3:20 p.m. | Burnaby | |
D102 | Sep 4 – Dec 3, 2024: Wed, 3:30–4:20 p.m. | Burnaby | |
D103 | Sep 4 – Dec 3, 2024: Wed, 4:30–5:20 p.m. | Burnaby | |
D104 | Sep 4 – Dec 3, 2024: Thu, 9:30–10:20 a.m. | Burnaby | |
D105 | Sep 4 – Dec 3, 2024: Thu, 10:30–11:20 a.m. | Burnaby | |
D106 | Sep 4 – Dec 3, 2024: Thu, 11:30 a.m.–12:20 p.m. | Burnaby |
Theoretical and computational methods for investigating the minimum of a function of several real variables with and without inequality constraints. Applications to operations research, model fitting, and economic theory. Prerequisite: MATH 232 or 240 , and 251 , all with a minimum grade of C-. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Benjamin Adcock | Sep 4 – Dec 3, 2024: Tue, 10:30 a.m.–12:20 p.m. Sep 4 – Dec 3, 2024: Fri, 10:30–11:20 a.m. | Burnaby Burnaby | |
D102 | Sep 4 – Dec 3, 2024: Fri, 2:30–3:20 p.m. | Burnaby | |
D103 | Sep 4 – Dec 3, 2024: Fri, 3:30–4:20 p.m. | Burnaby |
Modelling of real-life systems as Markov chains, including transient behaviour, limiting behaviour and classification of states, and using the exponential distribution and Poisson processes. Computational topics include generating and sampling random numbers, combinatorial objects and probability functions. Applications may include queueing systems, chemical kinetics, infectious diseases, and statistical physics. Prerequisite: STAT 270 and ( MATH 232 or MATH 240 ), all with a minimum grade of C-. Strongly Recommended: Experience with a computing platform such as R, MATLAB, or Python. Quantitative.
Key ideas and mathematical methods used in applications of mathematics to various biological, ecological, physiological, and medical problems. The course derives, interprets, solves and simulates models of biological systems. Topics could include population models, evolution from trait and genetic perspectives and qualitative analysis of ODEs. Prerequisite: MATH 260 with a minimum grade of C- OR MATH 155 with a minimum grade of A-. Strongly Recommended: Experience with a computing platform such as R, MATLAB, or Python. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Ben Ashby | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 2:30–3:20 p.m. | Burnaby | |
D102 | Sep 4 – Dec 3, 2024: Thu, 3:30–4:20 p.m. | Burnaby |
The remaining 15 units can be chosen from any upper division MATH or MACM course. Up to six of the 15 units can be chosen from the list below.
Examines central philosophical issues related to mathematics. Topics may include the metaphysical status of mathematical entities, mathematical knowledge, set theory and others. Prerequisite: One of PHIL 110 , 210, 314 , 315 or MACM 101 . Writing.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Gregory Lauro | Sep 4 – Dec 3, 2024: Tue, 2:30–5:20 p.m. | Burnaby |
Central forces, rigid body motion, small oscillations. Lagrangian and Hamiltonian formulations of mechanics. Prerequisite: PHYS 384 or permission of the department. Non-physics majors may enter with MATH 252 ; MATH 260 or MATH 310; PHYS 211 . All prerequisite courses require a minimum grade of C-. Quantitative.
Section | Instructor | Day/Time | Location |
---|---|---|---|
Igor Herbut Malcolm Kennett | Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 9:30–10:20 a.m. | Burnaby | |
D101 | Sep 4 – Dec 3, 2024: Wed, 3:30–4:20 p.m. | Burnaby |
Any upper division STAT course except for STAT 302, STAT 305, STAT 310, STAT 311, STAT 320, and STAT 403.
Within the 30 program units, students must complete nine units of 400 level course work, as outlined below (excluding directed studies, job practicum, or honours essay courses):
NOTE: SFU students accepted in the accelerated master’s 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 electives of the bachelor's program and the requirements of the master's degree. For more information go to: https://www.sfu.ca/gradstudies/apply/programs/accelerated-masters.html .
In addition to the courses listed above, students should consult an academic advisor to plan the remaining required elective courses.
Students must also satisfy University degree requirements for degree completion.
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 university-wide information.
A grade of c- or better is required to earn w, q or b credit.
| |||
W - Writing | 6 | Must include at least one upper division course, taken at Simon Fraser University within the student's major subject; two courses (minimum three units each) | |
Q - Quantitative | 6 | Q courses may be lower or upper division; two courses (total six units or more) | |
B - Breadth | 18 | Designated Breadth | Must be outside the student's major subject, and may be lower or upper division: Two courses (total six units or more) Social Sciences: B-Soc |
6 | Additional Breadth | Two courses (total six units or more) outside the student's major subject (may or may not be B-designated 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. |
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Join one of the most vibrant and forward-looking graduate Mathematics programs in Canada. Mathematics is a vital human endeavour that has important outcomes and applications in almost any field. The Mathematics Department at SFU brings together world-class research faculty in a collegial atmosphere. Students have the opportunity to learn, teach ...
SFU's Mathematics Department specializes in using a combination of today's computational tools and profound theory in leading-edge studies and critical application areas. Math students go on to careers as great problem solvers in business, computing, data and the sciences.
Application information for SFU's graduate program in mathematics. Our Fall 2024 application cycle will open October 16th, 2023 and close January 14, 2024. ... Simon Fraser University respectfully acknowledges the xʷməθkʷəy̓əm (Musqueam), Sḵwx̱wú7mesh Úxwumixw (Squamish), səlilwətaɬ (Tsleil-Waututh), q̓íc̓əy̓ (Katzie ...
MATH 875-0: PhD Preliminary Examination > Resources MATH 876-0: PhD Comprehensive Examination > Resources MATH 877-1: Supplementary Reading MATH 879-0: PhD Thesis Proposal MATH 880-6: MSc Project MATH 888-0: Ph.D. Comprehensive Examination: Operations Research MATH 890-0: Practicum I MATH 891-0: Practicum II MATH 894-2: Reading MATH 895-4: Reading
Department Faculty. Adcock, Ben Professor & Graduate Chair 778.782.4819 [email protected] SCK10532. Archibald, Tom Professor 778.782.3379 [email protected] SCK10509. Ashby, Ben Associate Professor 778.782.5746 [email protected] SCK9525.
Mathematics Education. Mathematics education is an integral part of the Faculty of Education at Simon Fraser University. The main objective of mathematics education is to develop educators with an understanding of mathematics and its teaching and learning, and with the capabilities for research and professional practice in the field.
Burnaby Graduate Programs, PhD Programs 778-782-4215 [email protected] EDB 8533. Our doctoral students in this program come from a variety of academic backgrounds. They also focus on an array of mathematics education contexts including primary, secondary, or college-level teaching and learning, as well as teacher preparation.
Mathematics education is an integral part of Faculty of Education at Simon Fraser University. Our doctoral students come from a variety of academic backgrounds. We focus on an array of mathematics education contexts including primary, secondary or college-level teaching and learning, as well as teacher preparation. Students participate in the ...
Please combine all application documents into a single PDF (~10MB Maximum size). We prefer you name the file LastName_Initial_Lecturer.pdf.
Recent high school graduate Suborno Isaac Bari, 12, plans to start studying math and physics at New York University in the fall, but he's already got his ambitious sights set on beginning a ...
Athabasca University: MATH 215 ... SFU Graduate Studies office for international graduate students is the most comprehensive resource for international applicants and students. ... Simon Fraser University respectfully acknowledges the xʷməθkʷəy̓əm (Musqueam), Sḵwx̱wú7mesh Úxwumixw (Squamish), səlilwətaɬ (Tsleil-Waututh ...
James is a Mathematics master student in the Faculty of Science. Three research keywords: Number Theory, Elliptic Curves, Fermat Equations (British Columbia Graduate Scholarship) sfu.ca
Fifth-year DTL doctoral student Elizabeth (Lizi) Metts has received the CPM's 2024 award for her Outstanding Dissertation in Mathematics Education. Using participatory research methods, Lizi's scholarship focuses on how secondary mathematics teachers incorporate data science into their curricula, highlighting the possibilities and contradictions they encounter. Her work contributes ...
Scale AI's 27-year-old CEO, Alexandr Wang, used to compete in national high school math competitions. His latest math-related victory may have been convincing investors in Silicon Valley to stretch his own company's numbers. The startup's $13.8 billion valuation, from a billion-dollar round it ...
This Site SFU.ca. Undergraduate . Advising and Support; Current Students; Prospective Students; Tutor Request; ... Pure Math PhD Comprehensive Exam Resources; Grade Guidelines ; Teaching Assistant Opportunities; ... SFU K-12 Student Math Camp. Burnaby Camp; Surrey Camp; SFU-UBC Diversity in Math Summer Camp; Past Events;
Find entry requirements, course fees and intake dates for studying a Doctor of Philosophy in Mathematics at Simon Fraser University in Canada
The PIMS mandate is to promote excellent research and applications of the mathematical sciences, to facilitate the training of highly qualified personnel, to create an equitable, diverse and inclusive community in the mathematical sciences, to enrich public awareness of and education in mathematics and to create partnerships with similar ...
Discover one of Canada's top 10 undergraduate mathematics programs. With award-winning instructors, a broad range of undergraduate research opportunities, and a track record of alumni stepping into coveted jobs and graduate programs—it's no wonder SFU's Mathematics Department is considered one of the nation's best.
This page contains films with the Small Number stories narrated in the American Sign Language. The narrator is Dominique Ireland of the Oneida Nation of the Thames. The main character in all stories is called Small Number. Small Number has an impressive aptitude for mathematics and also a proclivity ...
Simon Fraser University's three unique campuses are all within an hour of one another by public transit. BURNABY (MAIN CAMPUS): Perched atop Burnaby Mountain, Simon Fraser University's original Arthur Erickson-designed campus now includes more than three dozen academic buildings and is flanked by UniverCity, a flourishing sustainable
Department of Mathematics Study how to use math and computation to model science, engineering, social and biomedical problems, and learn the secrets of symmetry, form, number and shape. SFU's Mathematics Department specializes in using a combination of today's computational tools and profound theory in leading-edge studies and critical ...
I chose SFU because of the exciting research being conducted by the SFU Glaciology Research Group on the evolution of Arctic glaciers. I would like to incorporate field work and in-situ observations into my PhD, in conjunction with remote sensing data and modelling, and I believe that SFU is the right institution to help me do so.
Graduate School can be extremely challenging. During my first semester in the MA in Mathematics, I was enrolled in three graduate courses, dedicating 20 hours per week to my Graduate Assistantship, and serving as a Housing Manager with the Department of Residential Life.I will not pretend that graduate school is easy because it is not, but being able to recognize the challenges and adjust ...
Master of Science. The master of science (MSc) in mathematics initiates students to the exciting world of mathematical exploration and research. Students take courses in advanced topics and work with world-class research faculty to create original mathematics. Graduates of the program are qualified for work in industry, academia and government.
The MAGPIE GROUPThe MAGPIE (MAthematics, Genomics and Prediction in Infection and Evolution) group at SFU is seeking applicants for dedicated MAGPIE Studentships, situated in the MSc and PhD programs in mathematics at SFU. We are establishing a cohort of graduate students who will work and learn together, gain state-of-the-art training in the methods and interdisciplinary research […]
To graduate, students must write and successfully defend a dissertation that presents the results of the original and independent mathematical research that they have carried out, with the guidance of a faculty member. Careers. SLU's Ph.D. in Mathematics prepares students for research or teaching careers in colleges, universities or industry.
three units of courses from the list of PHYS and STAT courses above (within the six allowed units) or three units of any other MATH or MACM course. NOTE: SFU students accepted in the accelerated master's within the Department of Mathematics may apply a maximum of 10 graduate course units, taken while completing the bachelor's degree, towards ...