Mathematics for Business MAT-112
This course develops skills and competencies needed to understand, analyze, and solve mathematical problems related to business and economics. Not open to students in a mathematics major or minor.
Grade 12 mathematics (Calculus recommended)
Differential and Integral Calculus MAT-114
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.
Grade 11 U mathematics or permission of the instructor
Completion of Grade 12 U Calculus or more advanced calculus
Calculus I MAT-121
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.
or Grade 12 U Calculus
Calculus II MAT-122
A continuation of MAT-121. This course meets 4 hours a week.
Introductory Linear Algebra MAT-126
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.
or Grade 12 U Advanced Functions
Statistics for Science MAT-201
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).
or Grade 11 U or M mathematics or permission of the instructor
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.
Discrete Mathematics MAT-217
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.
Grade 12 U Advanced Functions
Multivariable Calculus MAT-223
Multivariable calculus: the derivative, multiple integration, vector calculus and applications. This course meets 4 hours a week.
Differential Equations MAT-231
An introduction to solutions and applications of ordinary differential equations. Laplace transforms, series solutions, and partial differential equations are also discussed.
Numerical Analysis MAT-311/411
A study of numerical methods of solving problems. Topics include linear algebraic equations, polynomial interpolation, numerical integration, and differentiation.
MAT-223 or 231Year 3 of 4 standing with permission of the instructor
Graph Theory MAT-317/417
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.
Mathematical Biology MAT-318
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.
MAT-201 or 215 is recommended
Modern Geometry MAT-321
A study of basic concepts of euclidean and non-euclidean geometry in historical context.
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.
Abstract Algebra MAT-331
An introduction to structures of modern algebra: groups, integral domains, fields, rings, and polynomials.
Any MAT-200-level course except MAT-201
Linear Algebra MAT-336/436
Topics include vector spaces, linear transformations, matrices, determinants, inner products, eigenvalues and eigenvectors, spectral decompositions, orthogonality, and inner product spaces.
and MAT-223 or MAT-231
Real Analysis I MAT-341
A study of the real number system and functions of a real variable. Topics included in the course are topology of the reals, types of continuity, differential calculus, sequences and series of functions, double summations and products of infinite series.
Real Analysis II MAT-442
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.
Honours Independent Study MAT-485
For information on setting up an independent study see page 60 of the Academic Calendar.
Year 3 or 4 standing; acceptance into the honours program
Honours Research Project MAT-490
For more information on setting up an independent research project see page 61 of the Academic Calendar.
Year 3 or 4 standing; acceptance into the honours program
Physics for the Life Sciences PHY-115
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 lab. Materials fee applies.
Any Grade 12 U or M mathematics or permission of the instructor
Physics I: Newtonian Mechanics PHY-121
An introductory, calculus-based study of the physical world. The course covers mechanics and other selected topics. Includes a weekly lab. Materials fee applies.
Grade 12 U Calculus
Physics II: Waves, Heat and Time PHY-122
A continuation of PHY-121, this course covers selected topics in wave motion, thermodynamics, optics, and modern physics. Includes a weekly lab. Materials fee applies.
Computer Programming I CSC-121
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.
or Grade 12 U mathematics
History & Philosophy of Science SCI-310
An introduction to key topics in the history and philosophy of Western science. The course explores how scientific ideas (in the past and now) are situated historically and culturally, are informed by worldviews, and shape worldviews.
Year 3 or 4 standing