Math 300 Class Notes

Lecture 01

Lecture 02

Lecture 03

Lecture 04

Lecture 05

Lecture 06

Lecture 07

Lecture 08

Lecture 09: Fourier Series

Lecture 10: Fourier Series

Lecture 10a: Periodic Boundary Conditions

Lect11: Bessel's Inequality

Lect12: Laplace's Equation in a Square

Lect13: Differentiation and Integration of Fourier Series

Lect14-June11: Derivation of the One-dimensional Wave Equation

Lect15-June13: Solutions to Midterm Exam I

Higher Dimensional Problems

Vibrating Circular Membrane

Bessel's Equation and Bessel Functions

Fourier Transforms

Topics for the Final Examination

Practice Problems for the Final Examination