| 1 | The Differential Operator (PDF) |
| 2 | Complex Analysis (PDF) |
| 3 | First-Order Partial Differential Equations (PDF) |
| 4 | Second-Order Partial Differential Equations (PDF) |
| 5 | Separation of Variables (PDF) |
| 6 | Singular Points of Ordinary Differential Equations (PDF) |
| 7 | Regular Singular Points of Ordinary Differential Equations (PDF) |
| 8 | Irregular Singular Points of Ordinary Differential Equations (PDF) |
| 9-10 | The WKB Approximation (PDF) |
| Exam 1 |
| 11 | Turning Point (PDF) |
| 12 | The Laplace Method (PDF) |
| 13 | Method of Stationary Phase (PDF) |
| 14-15 | Asymptotic Expansions of Integrals (PDF) |
| 16-17 | Boundary Layers and Singular Perturbation (PDF) |
| 18 | Interior Turning Points (PDF) |
| Exam 2 |