Courses

Honours Major: Mathematics (16 courses)

Cognate Requirements:

Four-Year Major: Mathematics (14 courses)

Cognate Requirements:

General Major: Mathematics (10 courses)

Cognate Requirements:

Minor: Mathematics (6 courses)

Course Details

MAT-114
Differential and Integral Calculus

An introduction to the basic concepts and methods of calculus for students who have no previous experience in the subject. The topics covered include functions, limits, derivative, exponential and logarithmic functions, integration, and applications.

Prerequisites:
Grade 11 U mathematics or permission of the instructor
Antirequisites:
Completion of Grade 12 U Calculus or more advanced calculus

MAT-121
Calculus I

An introduction to calculus, including the basic concepts of differentiation and integration. Applications, series expansions, and polar coordinates are discussed in relation to calculus. This course meets 4 hours a week.

Prerequisites:
MAT-114
or Grade 12 U Calculus

MAT-122
Calculus II

A continuation of MAT-121. This course meets 4 hours a week.

Prerequisites:
MAT-121

MAT-126
Introductory Linear Algebra

A study of systems of linear equations, determinants, vector algebra, n-dimensional vector spaces, linear transformations, and the eigenvalue problem. This course meets 4 hours a week.

Prerequisites:
Grade 12 U Advanced Functions or MAT-114

MAT-201
Statistics for Science

Topics include: descriptive statistics; probability; random variables and probability distributions; expectation; binomial, Poisson, and normal distributions; random sampling and sampling distributions; point and interval estimation; classical hypothesis testing and significance testing. Statistical examples and applications from life sciences will be emphasized. (Not for mathematics majors).

Prerequisites:
MAT-114
or Grade 11 U or M mathematics or permission of the instructor
Antirequisites:
APS/PSY-201MAT-215

MAT-215
Statistics

A study of the collection, analysis and interpretation of numerical data. Topics covered are probability spaces, conditional probability, random variables both continuous and discrete, Binomial, Normal, Poisson, Student’s t and Chi-square distributions, expectations, sampling distributions, estimation, tests of significance, regression analysis, and design of experiments. Includes lab time to emphasize the use of computer software for statistics. This course meets 4 hours a week.

Prerequisites:
MAT-122

MAT-217
Discrete Mathematics

Core topics include elementary set theory, combinations and permutations, an introduction to logic, mathematical induction, recursion, and properties of integers. Additional topics may include an introduction to graphs and trees, introduction to automata theory, and advanced counting techniques.

Prerequisites:
Grade 12 U Advanced Functions

MAT-223
Multivariable Calculus

Multivariable calculus: the derivative, multiple integration, vector calculus and applications. This course meets 4 hours a week.

Prerequisites:
MAT-122

MAT-231
Differential Equations

An introduction to solutions and applications of ordinary differential equations. Laplace transforms, series solutions, and partial differential equation are also discussed.

Prerequisites:
MAT-122, MAT-126

MAT-311/411
Numerical Analysis

A study of numerical methods of solving problems. Topics include linear algebraic equations, polynomial interpolation, numerical integration, and differentiation.

Prerequisites:
CSC-121
MAT-223 or 231Year 3 of 4 standing with permission of the instructor

MAT-317/417
Graph Theory

An introduction to the ideas, methods and applications of graph theory. Topics include: finding shortest paths and maximum matchings in weighted graphs and determining the connectivity of a graph.

Prerequisites:
MAT-217

MAT-318
Mathematical Biology

An introduction to mathematical modeling in biology focusing on difference and differential equations, covering applications from population models to spread of diseases. A key focus of the course will be to develop and interpret mathematical models of health issues in populations, including disease spread and vaccination consideration.

Prerequisites:
MAT-126, MAT-231
MAT-201 or 215 recommended

MAT-321
Modern Geometry

A study of basic concepts of euclidean and non-euclidean geometry.

Prerequisites:
Any MAT-200-level course except MAT-201. MAT-321 is the Capstone Course for the Mathematics Department and is required for all majors in the 3rd or 4th year.

MAT-331
Abstract Algebra

An introduction to structures of modern algebra: groups, integral domains, fields, rings, and polynomials.

Prerequisites:
Any MAT-200-level course except MAT-201

MAT-336/436
Linear Algebra

Topics include vector spaces, linear transformations, matrices, determinants, inner products, eigenvalues and eigenvectors, spectral decompositions, canonical forms, and dual spaces.

Prerequisites:
MAT-126, MAT-223

MAT-341
Real Analysis I

A study of the real number system and functions of a real variable. Topics included in the course are topology of Rn, continuous functions on Rn, and differential calculus in Rn.

Prerequisites:
MAT-223

MAT-385
Independent Study

For information on setting up an independent study see page 52 of the Academic Calendar.


MAT-442
Real Analysis II

As a continuation of MAT-341, topics covered include measure and integration, the Lebesgue integral, the Riemann-Stieltjes integral, Lp spaces, Fourier series, and other selected topics.

Prerequisites:
MAT-341

MAT-485
Honours Independent Study

For information on setting up an independent study see page 52 of the Academic Calendar.

Prerequisites:
Year 3 or 4 standing; acceptance into the honours program

MAT-490
Honours Research Project

For more information on setting up an independent research project see page 52 of the Academic Calendar.

Prerequisites:
Year 3 or 4 standing; acceptance into the honours program

PHY-115
Physics for the Life Sciences

An introduction to physical phenomena basic to the health sciences, physical education, and biology. Included are topics which apply to the life sciences: mechanics and properties of matter, heat, wave phenomena, electricity and magnetism, modern physics, basic electronics, measurement, and data analysis. Includes a weekly three-hour lab. Materials fee applies

Prerequisites:
Any Grade 12 U or M mathematics or permission of the instructor

PHY-121
Physics I: Newtonian Mechanics

An introductory, calculus-based study of the physical world. The course covers mechanics and other selected topics. Includes a weekly three-hour lab. Materials fee applies.

Prerequisites:
Grade 12 U Calculus
Corequisites:
MAT-121

PHY-122
Physics II: Waves, Heat and Time

A continuation of PHY-121, this course covers selected topics in wave motion, thermodynamics, optics, and modern physics. Includes a weekly three-hour lab.

Prerequisites:
PHY-121

Corequisites:
MAT-122

CSC-121
Computer Programming I

This course is an overview of the discipline of computer science and an introduction to computer programming Students will learn to design, code, debug, test, and document well-structured programs using the Python programming language. The course also includes an introduction to the history of computing and introduces how faith relates to computer technology. Includes a weekly one-hour tutorial.

Prerequisites:
Grade 12 U Mathematics or corequisite of MAT-114

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