APM441H1: Asymptotic and Perturbation Methods

Hours: 
36L

Asymptotic series. Asymptotic methods for integrals: stationary phase and steepest descent. Regular perturbations for algebraic and differential equations. Singular perturbation methods for ordinary differential equations: W.K.B., strained co-ordinates, matched asymptotics, multiple scales. (Emphasizes techniques; problems drawn from physics and engineering)

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