Courses
MCV4U
This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships.
MCR3U
This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions.
MTH1W
This course enables students to consolidate and continue to develop an understanding of mathematical concepts related to number sense and operations, algebra, measurement, geometry, data, probability, and financial literacy. Students will use mathematical processes, mathematical modelling, and coding to make sense of the mathematics they are learning and to apply their understanding to culturally-responsive and relevant real-world situations.
MHF4U
This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics.
MPM2D
This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and investigate the trigonometry of right and acute triangles.
Grades 1-8
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This course introduces students to key concepts in finite mathematics, particularly techniques of counting, probability theory, and the behaviour of discrete and continuous random variables. Through study of sets, various counting methods (such as permutations, combinations, tree diagrams, and inclusion–exclusion), fundamental probability concepts (including equiprobable sample spaces, conditional probability, Bayes’ theorem, and probability trees), and random‐variable models (both discrete and continuous, including the use of probability distribution functions (pdf) and cumulative distribution functions (cdf)), students develop the ability to model and solve quantitative problems in a wide variety of settings.
Math 1229: Linear Algebra
This first-year mathematics course introduces students to the fundamentals of vector and matrix algebra. Topics include vectors in Euclidean space, equations of lines and planes, systems of linear equations, matrix operations (including multiplication, inverses, rank), and determinants.
Calculus 1000
This first-year calculus course introduces students to the foundational ideas of calculus, including limits, continuity, differentiation of algebraic, exponential, logarithmic, trigonometric and inverse functions, the definite integral, and basic applications such as areas between curves and volumes of revolution.
Math 0110: Intro to Calculus
This course offers a first introduction to differential calculus for single-variable functions. Topics include limits and continuity, the definition and rules of differentiation, higher-order derivatives, applications to velocity and acceleration, implicit differentiation, related-rates problems, exponential and logarithmic functions, curve-sketching, maxima and minima, concavity and optimisation.