Ά‘ΟγΤ°AV

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To view the current Academic Calendar, go to www.sfu.ca/students/calendar.html.

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Ά‘ΟγΤ°AV Calendar | Spring 2023

Mathematics and Computing Science Joint Honours

Bachelor of Science

This program is offered co-operatively by the Department of Mathematics and the School of Computing Science. In general, students are expected to meet the requirements of both the department and the school with respect to admission, continuation and graduation requirements.

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.

Computing science course entry requires a grade of C- or better in each prerequisite course. A minimum 2.40 CGPA is required for 200, 300 and 400 division computing courses.

Program Requirements

The program is subject to Faculty of Science and University regulations. Course and prerequisite admission is subject to departmental requirements.

Faculty of Applied Sciences residency requirements apply to the computing science courses used toward the program.

Students complete at least 120 units of which at least 60 units are at the upper division level as specified below.

Lower Division Requirements

Students complete at least 43-47 units, including both of

CMPT 120 - Introduction to Computing Science and Programming I (3) *

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
Hazra Imran
Jan 4 – Apr 11, 2023: Mon, 8:30–9:20 a.m.
Jan 4 – Apr 11, 2023: Thu, 8:30–10:20 a.m.
Burnaby
Burnaby
Hazra Imran
Jan 4 – Apr 11, 2023: Mon, 12:30–1:20 p.m.
Jan 4 – Apr 11, 2023: Thu, 12:30–2:20 p.m.
Burnaby
Burnaby
Mohammad Tayebi
Jan 4 – Apr 11, 2023: Mon, 10:30 a.m.–12:20 p.m.
Jan 4 – Apr 11, 2023: Wed, 10:30–11:20 a.m.
Burnaby
Burnaby
Bobby Chan
Jan 4 – Apr 11, 2023: Mon, 8:30–9:20 a.m.
Jan 4 – Apr 11, 2023: Thu, 8:30–10:20 a.m.
Surrey
Surrey
D401 Jan 4 – Apr 11, 2023: Thu, 10:30–11:20 a.m.
Surrey
D402 Jan 4 – Apr 11, 2023: Thu, 11:30 a.m.–12:20 p.m.
Surrey
D403 Jan 4 – Apr 11, 2023: Thu, 12:30–1:20 p.m.
Surrey
D404 Jan 4 – Apr 11, 2023: Thu, 1:30–2:20 p.m.
Surrey
D405 Jan 4 – Apr 11, 2023: Thu, 2:30–3:20 p.m.
Surrey
D406 Jan 4 – Apr 11, 2023: Thu, 3:30–4:20 p.m.
Surrey
D407 Jan 4 – Apr 11, 2023: Thu, 4:30–5:20 p.m.
Surrey
D408 Jan 4 – Apr 11, 2023: Thu, 5:30–6:20 p.m.
Surrey
CMPT 125 - Introduction to Computing Science and Programming II (3) *

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
Victor Cheung
Jan 4 – Apr 11, 2023: Mon, 2:30–4:20 p.m.
Jan 4 – Apr 11, 2023: Wed, 2:30–3:20 p.m.
Burnaby
Burnaby
D101 Jan 4 – Apr 11, 2023: Thu, 8:30–9:20 a.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Thu, 8:30–9:20 a.m.
Burnaby
D103 Jan 4 – Apr 11, 2023: Thu, 9:30–10:20 a.m.
Burnaby
D104 Jan 4 – Apr 11, 2023: Thu, 9:30–10:20 a.m.
Burnaby
D105 Jan 4 – Apr 11, 2023: Thu, 10:30–11:20 a.m.
Burnaby
D106 Jan 4 – Apr 11, 2023: Thu, 10:30–11:20 a.m.
Burnaby
D107 Jan 4 – Apr 11, 2023: Thu, 11:30 a.m.–12:20 p.m.
Burnaby
D108 Jan 4 – Apr 11, 2023: Thu, 11:30 a.m.–12:20 p.m.
Burnaby
Jan 4 – Apr 11, 2023: Wed, 9:30–10:20 a.m.
Jan 4 – Apr 11, 2023: Fri, 8:30–10:20 a.m.
Burnaby
Burnaby
D201 Jan 4 – Apr 11, 2023: Mon, 2:30–3:20 p.m.
Burnaby
D202 Jan 4 – Apr 11, 2023: Mon, 2:30–3:20 p.m.
Burnaby
D203 Jan 4 – Apr 11, 2023: Mon, 3:30–4:20 p.m.
Burnaby
D204 Jan 4 – Apr 11, 2023: Mon, 3:30–4:20 p.m.
Burnaby
D205 Jan 4 – Apr 11, 2023: Wed, 2:30–3:20 p.m.
Burnaby
D206 Jan 4 – Apr 11, 2023: Wed, 2:30–3:20 p.m.
Burnaby
D207 Jan 4 – Apr 11, 2023: Wed, 3:30–4:20 p.m.
Burnaby
D208 Jan 4 – Apr 11, 2023: Wed, 3:30–4:20 p.m.
Burnaby

or both of 

CMPT 130 - Introduction to Computer Programming I (3)

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.

CMPT 135 - Introduction to Computer Programming II (3)

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.

Section Instructor Day/Time Location
Toby Donaldson
Jan 4 – Apr 11, 2023: Mon, 12:30–1:20 p.m.
Jan 4 – Apr 11, 2023: Wed, Fri, 12:30–1:20 p.m.
Surrey
Surrey
D101 Jan 4 – Apr 11, 2023: Wed, 1:30–2:20 p.m.
Surrey
D102 Jan 4 – Apr 11, 2023: Thu, 9:30–10:20 a.m.
Surrey
D103 Jan 4 – Apr 11, 2023: Thu, 10:30–11:20 a.m.
Surrey
D104 Jan 4 – Apr 11, 2023: Thu, 11:30 a.m.–12:20 p.m.
Surrey
D105 Jan 4 – Apr 11, 2023: Thu, 1:30–2:20 p.m.
Surrey
D106 Jan 4 – Apr 11, 2023: Thu, 2:30–3:20 p.m.
Surrey
D107 Jan 4 – Apr 11, 2023: Thu, 3:30–4:20 p.m.
Surrey
D108 Jan 4 – Apr 11, 2023: Thu, 4:30–5:20 p.m.
Surrey

and all of

CMPT 225 - Data Structures and Programming (3)

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; object-oriented programming; time and space efficiency analysis; and experimental evaluation. Prerequisite: (MACM 101 and (CMPT 125, CMPT 129 or CMPT 135)) or (ENSC 251 and ENSC 252), all with a minimum grade of C-. Quantitative.

Section Instructor Day/Time Location
Igor Shinkar
Jan 4 – Apr 11, 2023: Wed, 11:30 a.m.–12:20 p.m.
Jan 4 – Apr 11, 2023: Fri, 10:30 a.m.–12:20 p.m.
Burnaby
Burnaby
D101 Jan 4 – Apr 11, 2023: Tue, 2:30–3:20 p.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Tue, 2:30–3:20 p.m.
Burnaby
D103 Jan 4 – Apr 11, 2023: Tue, 3:30–4:20 p.m.
Burnaby
D104 Jan 4 – Apr 11, 2023: Tue, 3:30–4:20 p.m.
Burnaby
D105 Jan 4 – Apr 11, 2023: Tue, 4:30–5:20 p.m.
Burnaby
D106 Jan 4 – Apr 11, 2023: Tue, 4:30–5:20 p.m.
Burnaby
D107 Jan 4 – Apr 11, 2023: Tue, 5:30–6:20 p.m.
Burnaby
D108 Jan 4 – Apr 11, 2023: Tue, 5:30–6:20 p.m.
Burnaby
John Edgar
Jan 4 – Apr 11, 2023: Wed, 11:30 a.m.–12:20 p.m.
Jan 4 – Apr 11, 2023: Fri, 10:30 a.m.–12:20 p.m.
Surrey
Surrey
D201 Jan 4 – Apr 11, 2023: Fri, 8:30–9:20 a.m.
Surrey
D203 Jan 4 – Apr 11, 2023: Fri, 9:30–10:20 a.m.
Surrey
D204 Jan 4 – Apr 11, 2023: Fri, 9:30–10:20 a.m.
Surrey
D207 Jan 4 – Apr 11, 2023: Mon, 9:30–10:20 a.m.
Surrey
D208 Jan 4 – Apr 11, 2023: Mon, 9:30–10:20 a.m.
Surrey
CMPT 276 - Introduction to Software Engineering (3)

An overview of various techniques used for software development and software project management. Major tasks and phases in modern software development, including requirements, analysis, documentation, design, implementation, testing,and maintenance. Project management issues are also introduced. Students complete a team project using an iterative development process. Prerequisite: One W course, CMPT 225, (MACM 101 or (ENSC 251 and ENSC 252)) and (MATH 151 or MATH 150), all with a minimum grade of C-. MATH 154 or MATH 157 with at least a B+ may be substituted for MATH 151 or MATH 150. Students with credit for CMPT 275 may not take this course for further credit.

Section Instructor Day/Time Location
Jan 4 – Apr 11, 2023: Tue, 12:30–2:20 p.m.
Jan 4 – Apr 11, 2023: Fri, 12:30–1:20 p.m.
Burnaby
Burnaby
Rob Cameron
Jan 4 – Apr 11, 2023: Wed, 1:30–2:20 p.m.
Jan 4 – Apr 11, 2023: Fri, 12:30–2:20 p.m.
Surrey
Surrey
CMPT 295 - Introduction to Computer Systems (3)

The curriculum introduces students to topics in computer architecture that are considered fundamental to an understanding of the digital systems underpinnings of computer systems. Prerequisite: Either (MACM 101 and (CMPT 125 or CMPT 135)) or (MATH 151 and CMPT 102 for students in an Applied Physics program), all with a minimum grade of C-.

Section Instructor Day/Time Location
Anne Lavergne
Jan 4 – Apr 11, 2023: Tue, 4:30–6:20 p.m.
Jan 4 – Apr 11, 2023: Fri, 4:30–5:20 p.m.
Burnaby
Burnaby
D101 Jan 4 – Apr 11, 2023: Mon, 8:30–9:20 a.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Mon, 8:30–9:20 a.m.
Burnaby
D103 Jan 4 – Apr 11, 2023: Mon, 9:30–10:20 a.m.
Burnaby
D104 Jan 4 – Apr 11, 2023: Mon, 9:30–10:20 a.m.
Burnaby
D105 Jan 4 – Apr 11, 2023: Mon, 10:30–11:20 a.m.
Burnaby
D106 Jan 4 – Apr 11, 2023: Mon, 10:30–11:20 a.m.
Burnaby
D107 Jan 4 – Apr 11, 2023: Mon, 11:30 a.m.–12:20 p.m.
Burnaby
D108 Jan 4 – Apr 11, 2023: Mon, 11:30 a.m.–12:20 p.m.
Burnaby
Anne Lavergne
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby
D201 Jan 4 – Apr 11, 2023: Tue, 8:30–9:20 a.m.
Burnaby
D202 Jan 4 – Apr 11, 2023: Tue, 8:30–9:20 a.m.
Burnaby
D203 Jan 4 – Apr 11, 2023: Tue, 9:30–10:20 a.m.
Burnaby
D204 Jan 4 – Apr 11, 2023: Tue, 9:30–10:20 a.m.
Burnaby
D205 Jan 4 – Apr 11, 2023: Tue, 10:30–11:20 a.m.
Burnaby
D206 Jan 4 – Apr 11, 2023: Tue, 10:30–11:20 a.m.
Burnaby
D207 Jan 4 – Apr 11, 2023: Tue, 11:30 a.m.–12:20 p.m.
Burnaby
D208 Jan 4 – Apr 11, 2023: Tue, 11:30 a.m.–12:20 p.m.
Burnaby
MACM 101 - Discrete Mathematics I (3)

Introduction to counting, 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
Brad Bart
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Burnaby
D101 Jan 4 – Apr 11, 2023: Tue, 8:30–9:20 a.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Tue, 8:30–9:20 a.m.
Burnaby
D103 Jan 4 – Apr 11, 2023: Tue, 9:30–10:20 a.m.
Burnaby
D104 Jan 4 – Apr 11, 2023: Tue, 9:30–10:20 a.m.
Burnaby
D105 Jan 4 – Apr 11, 2023: Tue, 10:30–11:20 a.m.
Burnaby
D106 Jan 4 – Apr 11, 2023: Tue, 10:30–11:20 a.m.
Burnaby
D107 Jan 4 – Apr 11, 2023: Tue, 12:30–1:20 p.m.
Burnaby
D108 Jan 4 – Apr 11, 2023: Tue, 12:30–1:20 p.m.
Burnaby
Brad Bart
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 1:30–2:20 p.m.
Burnaby
D201 Jan 4 – Apr 11, 2023: Mon, 2:30–3:20 p.m.
Burnaby
D202 Jan 4 – Apr 11, 2023: Mon, 2:30–3:20 p.m.
Burnaby
D203 Jan 4 – Apr 11, 2023: Mon, 3:30–4:20 p.m.
Burnaby
D204 Jan 4 – Apr 11, 2023: Mon, 3:30–4:20 p.m.
Burnaby
D205 Jan 4 – Apr 11, 2023: Mon, 4:30–5:20 p.m.
Burnaby
D206 Jan 4 – Apr 11, 2023: Mon, 4:30–5:20 p.m.
Burnaby
D207 Jan 4 – Apr 11, 2023: Mon, 5:30–6:20 p.m.
Burnaby
D208 Jan 4 – Apr 11, 2023: Mon, 5:30–6:20 p.m.
Burnaby
Harinder Khangura
Jan 4 – Apr 11, 2023: Wed, 2:30–3:20 p.m.
Jan 4 – Apr 11, 2023: Fri, 2:30–4:20 p.m.
Surrey
Surrey
D301 Jan 4 – Apr 11, 2023: Mon, 12:30–1:20 p.m.
Surrey
D302 Jan 4 – Apr 11, 2023: Mon, 12:30–1:20 p.m.
Surrey
D303 Jan 4 – Apr 11, 2023: Mon, 1:30–2:20 p.m.
Surrey
D304 Jan 4 – Apr 11, 2023: Mon, 1:30–2:20 p.m.
Surrey
D305 Jan 4 – Apr 11, 2023: Mon, 2:30–3:20 p.m.
Surrey
D306 Jan 4 – Apr 11, 2023: Mon, 2:30–3:20 p.m.
Surrey
D307 Jan 4 – Apr 11, 2023: Mon, 3:30–4:20 p.m.
Surrey
D308 Jan 4 – Apr 11, 2023: Mon, 3:30–4:20 p.m.
Surrey
MACM 201 - Discrete Mathematics II (3)

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
Nathan Ilten
Hanmeng Zhan
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 12:30–1:20 p.m.
Burnaby
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 12:30–1:20 p.m.
Burnaby
Abraham Punnen
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Surrey
OP01 TBD
OP02 TBD
OP03 TBD
MACM 203 - Computing with Linear Algebra (2) +

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.

Section Instructor Day/Time Location
Petr Lisonek
Jan 4 – Apr 11, 2023: Tue, 2:30–3:20 p.m.
Burnaby
D101 Jan 4 – Apr 11, 2023: Wed, 2:30–3:20 p.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Wed, 3:30–4:20 p.m.
Burnaby
MACM 204 - Computing with Calculus (2) +

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.

MATH 242 - Introduction to Analysis I (3)

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.

Section Instructor Day/Time Location
Nadish de Silva
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 1:30–2:20 p.m.
Burnaby
D101 Jan 4 – Apr 11, 2023: Thu, 2:30–3:20 p.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Thu, 3:30–4:20 p.m.
Burnaby
MATH 251 - Calculus III (3)

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
Justin Gray
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby
OP01 TBD
STAT 270 - Introduction to Probability and Statistics (3)

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
Scott Pai
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 9:30–10:20 a.m.
Burnaby
Scott Pai
Jan 4 – Apr 11, 2023: Tue, 10:30 a.m.–12:20 p.m.
Jan 4 – Apr 11, 2023: Thu, 10:30–11:20 a.m.
Surrey
Surrey
Distance Education
OP01 TBD
OP09 TBD

and one of

MATH 150 - Calculus I with Review (4)

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 Ά‘ΟγΤ°AV 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
Joanna Niezen
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby
D101 Jan 4 – Apr 11, 2023: Tue, 8:30–9:20 a.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Tue, 9:30–10:20 a.m.
Burnaby
D105 Jan 4 – Apr 11, 2023: Wed, 12:30–1:20 p.m.
Burnaby
D106 Jan 4 – Apr 11, 2023: Wed, 1:30–2:20 p.m.
Burnaby
D107 Jan 4 – Apr 11, 2023: Wed, 4:30–5:20 p.m.
Burnaby
D108 Jan 4 – Apr 11, 2023: Wed, 3:30–4:20 p.m.
Burnaby
Natalia Kouzniak
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Surrey
D401 Jan 4 – Apr 11, 2023: Wed, 1:30–2:20 p.m.
Surrey
D402 Jan 4 – Apr 11, 2023: Wed, 2:30–3:20 p.m.
Surrey
D403 Jan 4 – Apr 11, 2023: Fri, 2:30–3:20 p.m.
Surrey
OP01 TBD
OP02 TBD
MATH 151 - Calculus I (3) **

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 Ά‘ΟγΤ°AV Calculus Readiness Test. Students with credit for either MATH 150, 154 or 157 may not take MATH 151 for further credit. Quantitative.

MATH 154 - Mathematics for the Life Sciences I (3) ++

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 Ά‘ΟγΤ°AV 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
Elisha Are
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby
OP01 TBD
MATH 157 - Calculus I for the Social Sciences (3) ++

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 Ά‘ΟγΤ°AV 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
Marni Julie Mishna
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Burnaby
Justin Chan
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 12:30–1:20 p.m.
Surrey
OP01 TBD
OP02 TBD

and one of

MATH 152 - Calculus II (3) **

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
Ralf Wittenberg
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby
Jamie Mulholland
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby
Luis Goddyn
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Surrey
OP01 TBD
OP02 TBD
OP03 TBD
MATH 155 - Mathematics for the Life Sciences II (3) ++

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.

Section Instructor Day/Time Location
Ben Ashby
Jan 4 – Apr 11, 2023: Mon, Wed, 8:30–9:20 a.m.
Jan 4 – Apr 11, 2023: Fri, 8:30–9:20 a.m.
Burnaby
Burnaby
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby
Luis Goddyn
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 9:30–10:20 a.m.
Surrey
OP01 TBD
OP02 TBD
MATH 158 - Calculus II for the Social Sciences (3) ++

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.

Section Instructor Day/Time Location
Razvan Fetecau
Jan 4 – Apr 11, 2023: Mon, 4:30–5:20 p.m.
Jan 4 – Apr 11, 2023: Wed, 4:30–6:20 p.m.
Burnaby
Burnaby
OP03 TBD

and one of

MATH 232 - Applied Linear Algebra (3) ++

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
Brenda Davison
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Burnaby
Abraham Punnen
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 1:30–2:20 p.m.
Surrey
OP01 TBD
OP02 TBD
MATH 240 - Algebra I: Linear Algebra (3) **

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
Katrina Honigs
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Burnaby
OP01 TBD

** strongly recommended

+ The following substitutions are also permitted. They may not also be used to satisfy the upper division requirements. 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.

++ with a B grade or better

Upper Division Requirements

Students complete 54 units, including all of

CMPT 307 - Data Structures and Algorithms (3)

Design and analysis of efficient data structures and algorithms. General techniques for building and analyzing algorithms (greedy, divide & conquer, dynamic programming, network flows). Introduction to NP-completeness. Prerequisite: CMPT 225, (MACM 201 or CMPT 210), (MATH 150 or MATH 151), and (MATH 232 or MATH 240), all with a minimum grade of C-. MATH 154 or MATH 157 with a grade of at least B+ may be substituted for MATH 150 or MATH 151.

Section Instructor Day/Time Location
Qianping Gu
Jan 4 – Apr 11, 2023: Mon, 1:30–2:20 p.m.
Jan 4 – Apr 11, 2023: Wed, 1:30–2:20 p.m.
Jan 4 – Apr 11, 2023: Fri, 1:30–2:20 p.m.
Burnaby
Burnaby
Burnaby
Jan 4 – Apr 11, 2023: Tue, 4:30–6:20 p.m.
Jan 4 – Apr 11, 2023: Thu, 4:30–5:20 p.m.
Burnaby
Burnaby
CMPT 308 - Computability and Complexity (3)

Formal models of computation such as automata and Turing machines. Decidability and undecidability. Recursion Theorem. Connections between computability and logic (GΓΆdel’s Incompleteness). Time and space complexity classes. NP-completeness. Prerequisite: (MACM 201 or CMPT 210) with a minimum grade of C-.

CMPT 405 - Design and Analysis of Computing Algorithms (3)

Models of computation, methods of algorithm design; complexity of algorithms; algorithms on graphs, NP-completeness, approximation algorithms, selected topics. Prerequisite: CMPT 307 with a minimum grade of C-.

Section Instructor Day/Time Location
Qianping Gu
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 9:30–10:20 a.m.
Burnaby
MACM 316 - Numerical Analysis I (3)

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
Steven Ruuth
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 12:30–1:20 p.m.
Burnaby
D101 Jan 4 – Apr 11, 2023: Wed, 2:30–3:20 p.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Wed, 3:30–4:20 p.m.
Burnaby
D103 Jan 4 – Apr 11, 2023: Wed, 4:30–5:20 p.m.
Burnaby
D104 Jan 4 – Apr 11, 2023: Thu, 9:30–10:20 a.m.
Burnaby
D105 Jan 4 – Apr 11, 2023: Thu, 10:30–11:20 a.m.
Burnaby
D106 Jan 4 – Apr 11, 2023: Thu, 11:30 a.m.–12:20 p.m.
Burnaby
MATH 308 - Linear Optimization (3)

Linear programming modelling. The simplex method and its variants. Duality theory. Post-optimality analysis. Applications and software. Additional topics may include: game theory, network simplex algorithm, and convex sets. Prerequisite: MATH 150, 151, 154, or 157 and MATH 240 or 232, all with a minimum grade of C-. Quantitative.

Section Instructor Day/Time Location
Ladislav Stacho
Jan 4 – Apr 11, 2023: Mon, Wed, Fri, 2:30–3:20 p.m.
Burnaby
D101 Jan 4 – Apr 11, 2023: Tue, 2:30–3:20 p.m.
Burnaby
D102 Jan 4 – Apr 11, 2023: Tue, 3:30–4:20 p.m.
Burnaby
D103 Jan 4 – Apr 11, 2023: Tue, 4:30–5:20 p.m.
Burnaby
MATH 340 - Algebra II: Rings and Fields (3)

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.

MATH 345 - Introduction to Graph Theory (3)

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.

and one of

CMPT 300 - Operating Systems I (3)

This course aims to give the student an understanding of what a modern operating system is, and the services it provides. It also discusses some basic issues in operating systems and provides solutions. Topics include multiprogramming, process management, memory management, and file systems. Prerequisite: CMPT 225 and (CMPT 295 or ENSC 254), all with a minimum grade of C-.

Section Instructor Day/Time Location
Steven Ko
Jan 4 – Apr 11, 2023: Thu, 11:30 a.m.–2:20 p.m.
Burnaby
Harinder Khangura
Jan 4 – Apr 11, 2023: Mon, 10:30 a.m.–12:20 p.m.
Jan 4 – Apr 11, 2023: Wed, 10:30–11:20 a.m.
Surrey
Surrey
CMPT 371 - Data Communications and Networking (3)

Data communication fundamentals (data types, rates, and transmission media). Network architectures for local and wide areas. Communications protocols suitable for various architectures. ISO protocols and internetworking. Performance analysis under various loadings and channel error rates. Prerequisite: CMPT 225 and (MATH 151 or MATH 150), with a minimum grade of C-. MATH 154 or MATH 157 with a grade of at least B+ may be substituted for MATH 151 (MATH 150).

Section Instructor Day/Time Location
Jan 4 – Apr 11, 2023: Wed, 5:30–6:20 p.m.
Jan 4 – Apr 11, 2023: Fri, 4:30–6:20 p.m.
Surrey
Surrey

and one of

CMPT 361 - Introduction to Computer Graphics (3)

This course provides an introduction to the fundamentals of computer graphics. Topics include graphics display and interaction hardware, basic algorithms for 2D primitives, anti-aliasing, 2D and 3D geometrical transformations, 3D projections/viewing, Polygonal and hierarchical models, hidden-surface removal, basic rendering techniques (color, shading, raytracing, radiosity), and interaction techniques. Prerequisite: CMPT 225 and MATH 232 or 240, all with a minimum grade of C-.

Section Instructor Day/Time Location
Yagiz Aksoy
Xue Bin Jason Peng
Jan 4 – Apr 11, 2023: Mon, 4:30–5:20 p.m.
Jan 4 – Apr 11, 2023: Thu, 4:30–6:20 p.m.
Burnaby
Burnaby
CMPT 379 - Principles of Compiler Design (3)

This course covers the key components of a compiler for a high level programming language. Topics include lexical analysis, parsing, type checking, code generation and optimization. Students will work in teams to design and implement an actual compiler making use of tools such as lex and yacc. Prerequisite: (MACM 201 or CMPT 210), (CMPT 295 or ENSC 215) and CMPT 225, all with a minimum grade of C-.

and one of

MATH 309 - Continuous Optimization (3)

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.

MATH 348 - Introduction to Probabilistic Models (3)

Review of the basics of probability, including sample space, random variables, expectation and conditioning. Applications of Markov chains, the exponential distribution and the Poisson process from science and industry. Applications may include inventory theory, queuing, forecasting, scheduling and simulation. Prerequisite: STAT 270 and (MATH 232 or MATH 240), all with a minimum grade of C-. Quantitative.

MATH 360 - Modeling with Ordinary Differential Equations (3)

Formulation, analysis and simulation of continuous mathematical models. Applications may be selected from topics in physics, biology, engineering and economics. Prerequisite: MATH 251 and MATH 260, with a minimum grade of C-. Students with credit for MATH 461 or MATH 761 may not complete this course for further credit. Quantitative.

and additional course work to total 27 upper division MATH units and 27 upper division CMPT units including core requirements. MACM courses are counted in an alternating fashion towards the MATH and CMPT requirements, starting with the first MACM course completed counting towards either MATH or CMPT. 18 units must be completed at the 400 division or higher, including at least six units each of CMPT and MATH.

Students are encouraged to take either

CMPT 498 - Honours Research Project (6)

Students must submit a proposal to the Undergraduate Chair, including the name and signature of the supervising faculty member(s). Students must complete a project report and make a project presentation. This course can satisfy the research project requirements for Computing Science honours students. Prerequisite: Students must have completed 90 units, including 15 units of upper division CMPT courses, and have a GPA of at least 3.00. The proposal must be submitted to the Undergraduate Chair at least 15 days in advance of the term. The proposal must be signed by the supervisor(s) and the undergraduate chair.

Section Instructor Day/Time Location
TBD
TBD
TBD

or both of

MATH 498 - Communication and Research Skills in the Mathematical Sciences (1)

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 non-academic 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.

MATH 499W - Honours Research Project (5)

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.

Other Requirements

Of the total 120 units required for honours, at least 60 must be from the upper division.

The program is subject to Faculty of Science and University regulations. Course and prerequisite admission is subject to departmental requirements. MACM major graduation is contingent upon a cumulative grade point average (CGPA) and upper division grade point average (UDGPA) of 3.00 or better. Students must also achieve a 3.00 or better CGPA and UDGPA in each of the CMPT, MACM and MATH designations.

Ά‘ΟγΤ°AV, continuation and graduation in the MACM honours is contingent upon 3.00 or better on all relevant GPAs. Faculty of Applied Sciences residency requirements appy to the computing science courses used toward the program.

Co-operative Education and Work Experience

All computing science students are strongly encouraged to explore the opportunities that Work Integrated Learning (WIL) can offer. Please contact a computing science or mathematics co-op advisor during the first year of studies to ensure that you have all of the necessary courses and information to help plan for a successful co-op experience.

Visit for more computing science information, or for mathematics, .

University Honours Degree Requirements

Students must also satisfy University degree requirements for degree completion.

Writing, Quantitative, and Breadth Requirements

Students admitted to Ά‘ΟγΤ°AV 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.

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 Ά‘ΟγΤ°AV 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: B-Soc
6 units Humanities: B-Hum
6 units Sciences: B-Sci

6

Additional Breadth 6 units 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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Residency Requirements and Transfer Credit

  • At least half of the program's total units must be earned through Ά‘ΟγΤ°AV study.
  • At least two thirds of the program's total upper division units must be earned through Ά‘ΟγΤ°AV study.

Please see Faculty of Applied Sciences Residency Requirements for further information.

Elective Courses

In addition to the courses listed above, students should consult a or  advisor to plan the remaining required elective courses.