1. Power Series Solutions of Second Order Differential Equations 2. The Laplace Transform 3. The Inverse Laplace Transform 4. Application of Lapalce Transforms to Solutions of Differential Equations 5. An Introduction to Partial Differential Equations 6. Some Methods for the Solution of Partial Differential Equations 7. Partial Differential Equations of Second Order 8. Partial Differential Equation with Constant Coefficients of Second Order 9. Orthogonal Set of Functions