MAT244H1: Introduction to Ordinary Differential Equations

Hours

36L

First order ordinary differential equations: Direction fields, integrating factors, separable equations, homogeneous equations, exact equations, autonomous equations, modeling. Existence and uniqueness theorem. Higher order equations: Constant coefficient equations, reduction of order, Wronskian, method of undetermined coefficients, variation of parameters. Solutions by series and integrals. First order linear systems, fundamental matrices. Non-linear equations, phase plane, stability. Applications in life and physical sciences and economics.

Prerequisite
(MAT135H1/MAT135H5/MATA35H3/MATA30H3/MATA31H3, MAT136H1/MAT136H5/MATA36H3/MATA37H3)/MAT135Y5/MAT137Y1/MAT137Y5/MAT157Y1/MAT157Y5, MAT223H1/MATA23H3/MAT223H5/MAT240H1/MAT240H5
Corequisite
Exclusion
MAT267H1, MAT212H5, MAT258Y5
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)