This course focuses on the real number system, inequalities, plane analytic geometry (lines and conics), functions, inverse functions, polynomials, rational functions, trigonometric functions, and exponential and logarithmic functions. It emphasizes fundamental methods of graphing functions, using non-calculus based techniques. [Note 1: This course is primarily intended for non-science students or as a prerequisite for MATH 1111 or 1151 for those students who have not passed the Mathematics Placement Test. Science students who have passed the Mathematics Placement Test require the permission of the Department of Mathematics and Computer Science to enrol in this course. Credit will not be given for this course if credit has already been granted for MATH 1111 or 1151.] (Format: Lecture 3 Hours, Laboratory 1.5 Hours) (Exclusion: Any version of MATH 1011 previously offered with a different title) Monday Wednesday and Friday 8:30 to 9:20AM Sir James Dunn Building 108.
This course introduces differential calculus. Topics include derivatives of algebraic, trigonometric, and exponential functions and applications such as curve sketching, related rates, and optimization problems. [Note 1: This course has a Challenge for Credit option; see Calendar Section 3.11] (Format: Lecture 3 Hours, Laboratory 1.5 Hours)(Distribution: Natural Science-a) (Exclusion: MATH 1151; any version of MATH 1111 previously offered with a different title)
This course introduces differential and integral calculus with an emphasis on applications. Topics include modeling with functions, interpretation of the derivative and integral, and some computational methods. [Note 1: The course is designed for students in life sciences and Commerce who do not intend to take MATH 1121.] (Format: Lecture 3 Hours, Laboratory 1.5 Hours) (Distribution: Natural Science-a) (Exclusion: MATH 1111) Monday Wednesday and Friday 8:30 to 9:20AM Avard Dixon G12.
This course introduces the calculus of functions of several variables, including conic sections, quadric surfaces, polar co-ordinates in the plane, cylindrical and spherical co-ordinates in three space, continuity, partial derivatives, tangent planes, chain rule, maximum and minimum values, Lagrange multipliers, and double and triple integrals.(Format: Lecture 3 Hours) Monday Wednesday and Friday 9:30 to 10:20AM Avard Dixon 118.
An introduction to the terminology and concepts of discrete mathematics, covering such topics as: logical arguments, proofs and algorithm verification, sets, relations, functions and cardinality of sets, induction and recursion, enumeration, algorithms and complexity. [Note 1: This course is cross-listed as COMP 2211 and may therefore count as three credits in either discipline.] (Format: Lecture 3 Hours) Monday Wednesday and Friday 10:30 to 11:20AM Avard Dixon 112.
This course introduces some of the concepts and techniques of probability and statistics. Topics include descriptive statistics, elementary probability, probability distributions, statistical estimation, hypothesis testing, and the use of a statistical software package in analyzing data. Examples come from a wide variety of disciplines. (Format: Lecture 3 Hours) (Distribution: Natural Science-a) Monday and Friday 12:30 to 1:20PM Crabtree M14.
A systematic and rigorous study of the real numbers and functions of a real variable, emphasizing limits and continuity. (Format: Lecture 3 Hours) Monday Wednesday and Friday 10:30 to 11:20AM Avard Dixon 230.
An introduction to the theory of groups and rings. (Format: Lecture 3 Hours) Monday Wednesday and Friday 8:30 to 9:20AM Sir James Dunn Building 106.
An advanced course in linear algebra, covering selected topics from: change of basis and similarity of matrices; multilinear forms and determinants; canonical forms, Primary Decomposition Theorem, Jordan form; semisimple and normal operators; spectral theory; quadratic forms; applications to geography, electrical networks, linear programming, differential equations, or the geometry of conic sections. (Format: Lecture 3 Hour) Monday and Wednesday 9:30 to 10:20AM Sir James Dunn Building 406.
This course introduces terminology, techniques, and applications of graph theory and examines parameters for a variety of classes of graphs. Topics include trees, planarity, colouring, matchings, and network flow problems. (Format: Lecture 3 Hours)(Exclusion: Any version of MATH 3251 previously offered with a different title.) Monday Wednesday and Friday 1:30 to 2:20PM Sir James Dunn Building 406.
This course introduces the basic tools and methods of Game Theory. Game Theory is a mathematically oriented approach to understanding the strategic interaction of self-interested agents. Emphasis is on non-cooperative games. Topics include backwards induction, iterative deletion of dominated strategies, Nash equilibrium, repeated games, some equilibrium refinements, evolutionary game theory, and Bayesian Nash equilibria. [Note 1: This course is cross-listed as ECON 3301 and therefore may count as 3 credits in either discipline. Note 2: Counts as a Commerce elective for students taking a Bachelor of Commerce or a Major or Minor in Commerce] (Format: Lecture 3 Hours, Laboratory 1 Hour) Monday Wednesday and Friday 8:30 to 9:20AM Barclay 021.
This course is an introduction to cryptographic algorithms and to the cryptanalysis of these algorithms, with an emphasis on the fundamental principles of information security. Topics include: classical cryptosystems, modern block and stream ciphers, public-key ciphers, digital signatures, hash functions, key distribution and agreement. [Note 1: This course is cross listed as COMP 4651 and may therefore count as three credits in either discipline.] (Format: Lecture 3 Hours) Tuesday and Thursday 11:30 to 12:50PM Sir James Dunn Building 104.
This course permits senior students, under the direction of faculty members, to pursue their interest in areas not covered, or not covered in depth, by other courses through a program of independent study. [Note 1: Permission of the Department/Program Advisor. Students must obtain consent of an instructor who is willing to be a supervisor and must register for the course prior to the last day for change of registration in the term during which the course is being taken. Note 2: A program on Independent Study cannot duplicate subject matter covered through regular course offerings. Note 3: Students may register for MATH 4950/51 more than once, provided the subject matter differs.] (Format: Independent Study)