| Date | Topics | Reading | Tests & Deadlines |
|---|---|---|---|
| (1st wk) Apr 3 | Linear systems | 1.1-1.6 | |
| Apr 5 | 1.7-1.10 | ||
| (2nd wk) Apr 10 | Nonlinear systems | 2.1-2.5 | |
| Apr 12 | Linearization | 2.6-2.7 | |
| (3rd wk) Apr 17 | 2.8 | Hmwk #1 due on 4/17 | |
| Apr 19 | Lyapunov stability | 2.9 | |
| (4th wk) Apr 24 | 2.10 | ||
| Apr 26 | Center manifold | 2.12 | |
| (5th wk) May 1 | Normal form | 2.13 | Hmwk #2 due on 5/1 |
| End Part I | |||
|
Midterm |
Thursday, May 3 | ||
| (in class) | |||
| (6th wk) May 8 | Lagrangian, Hamiltonian,
and gradient systems |
2.14 | |
| May 10 | |||
| (7th wk) May 15 | Periodic orbits | 3.1-3.3 | Hmwk #3 due on 5/15 |
| May 17 | 3.7, 3.9 | ||
| (8th wk) May 22 | Poincaré map | 3.4-3.5 | |
| May 24 | Index theory | 3.12 | |
| (9th wk) May 29 | Bifurcations | 4.1 | Hmwk #4 due on 5/29 |
| May 31 | 4.2-4.3 | ||
| (10th wk) Jun 5 | 4.4 | ||
| End Part II | |||
| Final | Thursday, June 7 | ||
| (in class) | |||