18.305 - Advanced Analytic Methods (Fall, 2021)

Syllabus

Review of Ordinary Differential Equations. ( Two lectures.)

Partial differential equations 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.)