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.

Corequisite: 
Exclusion: 
Distribution Requirements: 
Science
Breadth Requirements: 
The Physical and Mathematical Universes (5)