MAT267H1: Advanced Ordinary Differential Equations

Hours: 
36L/12T

A theoretical course on Ordinary Differential Equations. First-order equations: separable equations, exact equations, integrating factors. Variational problems, Euler-Lagrange equations. Linear equations and first-order systems. Fundamental matrices, Wronskians. Non-linear equations. Existence and uniqueness theorems. Method of power series. Elementary qualitative theory; stability, phase plane, stationary points. Oscillation theorem, Sturm comparison. Applications in mechanics, physics, chemistry, biology and economics.

Prerequisite: 
Corequisite: 
Exclusion: 

APM288H, MAT244H1, MATB44H3, MAT242H5, MAT252H5, MAT234H, MAT292H

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