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
MAT157Y1/MAT157Y5, MAT247H1/MAT247H5
Corequisite
Exclusion
APM288H1, MAT244H1, MATB44H3, MAT242H5, MAT252H5, MAT234H1, MAT292H1
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)