Homework 1: Differential Equations.

Homework 2: Series Solutions and Numerical Approaches.

Homework 3: Sturm-Liouville theory, Green's and gamma functions.

Homework 4: Bessel Functions.

Homework 5: Spherical Bessel functions and Legendre functions.

Homework 6: Other Special Functions.

Homework 7: Fourier Series.

Homework 8: Integral Transforms.

Homework 9: Laplace transforms and inverse transforms.