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 |