Math 27300/[40 | 50] Basic Theory of Ordinary Differential Equations
Syllabus: See Canvas.
- Regular Class: TTh [11:00 am-12:20 pm | 12:30 am-1:50 pm] @ [Eckhart 308 | Ryerson 177]
- My Office Hour: T 3:00-4:30 pm, Th 9:00-10:30 am @ Eckhart 318
Calendar
| Week | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 1 | 1/1 |
1/2 |
1/3 |
1/4 §1.1-1.5 First order equations |
1/5 |
| 2 | 1/8 |
1/9 §1.11 Comparison principle, Gronwall lemma |
1/10 |
1/11 §6.1-6.3, 6.6-6.7, 6.12 Existence and uniqueness, continuition |
1/12 |
| 3 | 1/15 |
1/16 §6.3-6.4 Dependence on initial data and parameter |
1/17 |
1/18 §7.1-7.2, 6.10 Euler solution, Peano existence |
1/19 |
| 4 | 1/22 |
1/23 §2.1-2.5 Second order linear equations |
1/24 |
1/25 §2.8, 10.1-10.2 Strum-liouville theory |
1/26 |
| 5 | 1/29 |
1/30 §A.1-A.2 Jordan form |
1/31 |
2/1 *Generalized eigenvectors |
2/2 |
| 6 | 2/5 |
2/6 Midterm |
2/7 |
2/8 §5.1-5.3 Plane autonomous system |
2/9 |
| 7 | 2/12 |
2/13 5.4-5.6 Singular point |
2/14 |
2/15 §5.12 Limit cycles |
2/16 |
| 8 | 2/19 |
2/20 *Global analysis |
2/21 |
2/22 *Poincare disk |
2/23 |
| 9 | 2/26 |
2/27 §B.1 Bifurcation theory |
2/28 |
2/29 *Stable manifold |
3/1 |
| ** | 3/4 |
3/5 |
3/6 |
3/7 |
3/8 |