1. Partial Differential Equations in Engineering
2. The Fourier Method: Separation of Variables
3. Orthogonal Sets of Functions
4. Series Solutions of Ordinary Differential Equations
5. Solutions Using Fourier Series and Integrals
6. Integral Transforms: The Laplace Transform
7. Complex Variables and the Laplace Inversion Integral
8. Solutions with Laplace Transforms
9. Sturm-Liouville Transforms
10. Introduction to Perturbation Methods