Prerequisite/Corequisite:
The following course must be completed previously or concurrently: MATH 204 (Cegep Mathematics 105). The following course must be completed previously: MATH 205 (Cegep Mathematics 203).
Description:
This course introduces Engineering students to the theory and application of ordinary differential equations. Definition and terminology, initial‑value problems, separable differential equations, linear equations, exact equations, solutions by substitution, linear models, orthogonal trajectories, complex numbers, form of complex numbers: powers and roots, theory: linear equations, homogeneous linear equations with constant coefficients, undetermined coefficients, variation of parameters, Cauchy‑Euler equation, reduction of order, linear models: initial value, review of power series, power series solutions, theory, homogeneous linear systems, solution by diagonalization, non‑homogeneous linear systems. Eigenvalues and eigenvectors.
Component(s):
Lecture 3 hours per week; Tutorial 2 hours per week