MATH 223: Asymptotics and Perturbation Methods

[4 units]

Asymptotic evaluation of integrals, matched asymptotic expansions, multiple scales, WKB, and homogenization. Applications are made to ODEs, PDEs, difference equations, and integral equations to study boundary and shock layers, nonlinear wave propagation, bifurcation and stability, and resonance.

Prerequisite: MATH 221. Normal Letter Grade only. Discussion included.