18.305 - Advanced Analytic Methods (Fall, 2019)

Syllabus

Review of Ordinary Diļ¬€erential Equations. (One or two lectures.)

WKB Method. (Four lectures.)

Review of complex analysis. (One Lecture.)

The Laplace method, the method of stationary phase, and the saddle point method (Ten lectures)

Boundary Layers. ( Eight lectures.)

Small Non-Linear Oscillations. ( Seven lectures.)