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/​MATA35H3/MATA30H3/MATA31H3, MAT136H1/​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)