Course Descriptions

An introductory course. Topics include errors, solutions of linear and non-linear equations, interpolation, numerical integration, solutions of ordinary differential equations.

Weekly hours: 3 Lecture hours and 1 Practicum/Lab hours
Prerequisite(s): MATH 116.3 or MATH 124.3 or MATH 134.3 or MATH 177.3; and MATH 164.3

Vectors and coordinate geometry in 3- space; vector functions and curves; partial differentiation; applications of partial derivatives; multiple integration.

Weekly hours: 3 Lecture hours and 1 Practicum/Lab hours
Restriction(s): Enrollment in the College of Engineering.
Prerequisite(s): MATH 124.3 or MATH 134.3.
Note: Engineering students may take this course with prerequisite of MATH 110 and 116 if they seek permission of the Engineering Students' Centre. Arts & Science students majoring in Physics may receive permission to take this course by contacting the Department of Mathematics and Statistics. Students with credit for MATH 225 or 276 may not take this course for credit.

Vector fields; vector calculus; ordinary differential equations; sequences, series, and power series.

Weekly hours: 3 Lecture hours and 1 Practicum/Lab hours
Restriction(s): Enrollment in the College of Engineering.
Prerequisite(s): MATH 223 (taken).
Note: Arts & Science students majoring in Physics may receive permission to take this course by contacting the Department of Mathematics and Statistics. Students with credit for MATH 226 may not take this course for credit.

Analytic geometry, vectors, vector functions, partial differentiation, multiple integration, line integrals and Green's theorem.

Weekly hours: 3 Lecture hours and 1 Practicum/Lab hours
Prerequisite(s): MATH 116.3, MATH 133.4, or MATH 177.3.
Note: Students with credit for MATH 223 or MATH 276 may not take this course for credit.

Infinite sequences and series, complex numbers, first order and linear differential equations.

Weekly hours: 3 Lecture hours and 1 Practicum/Lab hours
Prerequisite(s): MATH 116.3, MATH 133.4, or MATH 177.3.
Note: Students with credit for MATH 224 may not take this course for credit.

This course introduces students to ordinary differential equations, including elementary existence results, power series solutions, and techniques of solution involving matrix computations. Examples will be drawn from the physical and biological sciences.

Weekly hours: 3 Lecture hours and 1.5 Practicum/Lab hours
Prerequisite(s): MATH 116.3 or MATH 124.3 or MATH 134.3 or MATH 177.3; and MATH 164.3.

A course in plane Euclidean geometry. Particularly recommended for teachers of mathematics.

Weekly hours: 3 Lecture hours and 1 Practicum/Lab hours
Prerequisite(s): MATH 163
Note(s): May not be included in the courses required in C4 or C6 for Honours programs in Applied Mathematics, Mathematical Physics, Mathematics or Statistics.

This course follows MATH 164 (Introduction to Linear Algebra). Topics include: abstract vector spaces, linear transformations, polynomials, trace and determinant, eigenvectors and invariant subspaces, canonical forms, and inner products.

Weekly hours: 3 Lecture hours
Prerequisite(s): MATH 164

This course is an introduction to calculus in higher dimensions, including linear transformations between real vector spaces, limits and continuity in Rn using epsilon-delta, the derivative as a linear transformation (including the Jacobian matrix), Newton's method for functions from Rn to Rn, and the inverse function theorem.

Weekly hours: 3 Lecture hours and 1.5 Practicum/Lab hours
Prerequisite(s): MATH 116.3 or MATH 124.3 or MATH 134.3 or MATH 177.3; and MATH 164.3.
Note: Students with credit for MATH 223 or MATH 225 may not take this course for credit.

A continuation of MATH 276, this course introduces students to Taylor series for functions from Rn to Rm and higher derivatives of functions from Rn to Rm; inner products, critical points and their classification; constrained optimization through Lagrange multipliers; and integration via differential forms leading to Stokes' Theorem.

Weekly hours: 3 Lecture hours and 1.5 Practicum/Lab hours
Prerequisite(s): MATH 276.3

Offered occasionally by visiting faculty and in other special situations to cover, in depth, topics that are not thoroughly covered in regularly offered courses.

Weekly hours: 3 Lecture hours

Offered occasionally by visiting faculty and in other special situations to cover, in depth, topics that are not thoroughly covered in regularly offered courses.

Weekly hours: 3 Lecture hours