Here you will find information about the material that was already covered or will be covered in the next few lectures.

Chapters and pages are from the textbook [Stein-Shakarchi].

Star * after the date indicates planned content.

Date Content
Thur, 01/22* Ch 2, pp. 34-38: Definition of Fourier series, Dirichlet and Poisson kernels.
Tue, 01/20*: Ch 1, pp. 18-23: Heat equation, Laplace’s equation. Ch 2, pp. 29-33: Riemann integrable functions, functions on unit circle
Thur, 01/15: Ch 1, pp. 11-18: Standing waves, separation of variables, Fourier sine series, Fourier series, plucked string
Tue, 01/13: Ch 1, pp. 1-11: Simple harmonic motion, derivation of wave equation, traveling waves, D’Alembert’s formula