Asymptotics & Perturbation Methods

A complete 27-lecture course on Asymptotics and Perturbation Methods by Steven Strogatz (Cornell). Covers asymptotic expansions, integral asymptotics, boundary layer theory, WKB approximation, multiple scales, and renormalization — essential tools for applied mathematics and theoretical physics.

Lecture 1: Asymptotic Expansions

Lecture 2: Properties of Asymptotic Expansions

About This Course

These 27 lectures from Steven Strogatz's course at Cornell cover the essential toolkit of asymptotic and perturbation methods — techniques that are indispensable across applied mathematics, physics, engineering, and biology. The methods taught here underpin everything from quantum mechanics (WKB) to fluid dynamics (boundary layers) to nonlinear oscillations (multiple scales).

All content is publicly available on YouTube. Lectures are organized thematically into six chapters covering the major branches of asymptotic analysis.