REQUIRED TEXTBOOK:
Agarwal and O'Regan, ``An Introduction to Ordinary Differential Equations'', Springer
This book is available online for UC Berkeley students: go to http://oskicat.berkeley.edu/
PREQUISITES: Math 53 and 104.
COURSE OUTLINE:
1. Overview: examples and tricks
2. Existence and uniqueness of solutions
3. Linear ODE and systems
4. Stability, asymptotic behavior
5. Boundary value problems
6. Calculus of variations
HOMEWORK AND GRADING:
25% homework, 25% midterm, 50% final
I will assign new homework at each class meeting. Each assignment will be due in one week.
Collaboration is allowed, but each student must turn in his or her own homework sheet.
No late homework, please.
HOMEWORK ASSIGNMENTS:
| Homework 1 | 5.1, 5.2 | due Fri, Jan 30 |
| Homework 2 | 5.3 (i),(ii), 5.4(i) | due Mon, Feb 2 |
| Homework 3 | 4.3 (i),(iii), 4.6 | due Wed, Feb 4 |
| Homework 4 | 3.2(i), 3.4, 3.5 | due Fri, Feb 6 |
| Homework 5 | 6.3(i), 6.4(i),(ii) | due Mon, Feb 9 |
| Homework 6 | 6.5, 6.11(i), 6.12(ii) | due Wed, Feb 11 |
| Homework 7 | 6.9 | due Fri, Feb 13 |
| Homework 8 | 7.3(i),(ii), 7.10, 7.11 | due Wed, Feb 18 |
| Homework 9 | 8.1, 8.4(i), 8.5 | due Fri, Feb 20 |
| Homework 10 | 8.12, 9.3, 9.4 | due Wed, Feb 25 |
| Homework 11 | 7.7, 8.8 | due Fri, Feb 27 |
| Homework 12 | 10.3, 10.5 | due Mon, March 2 |
| Homework 13 | 12.1, 12.4 | due Fri, March 6 |
| Homework 14 | 17.1, 17.3 | due Mon, March 9 |
| Homework 15 | 17.2 | due Wed, March 11 |
| Homework 16 | 14.3 (i), 18.2 | due Fri, March 13 |
| Homework 17 | 18.6, 18.11, 20.5 | due Wed, April 1 |
| Homework 18 | 19.7 (i), (ii), 19.10 (i), (ii) | due Fri, April 3 |
| Homework 19 | 22.9 (i) | due Mon, April 6 |
| Homework 20 | 28.2 (i)-(iii), 28.3 | due Mon, April 13 |
| Homework 21 | 28.5, 28.6 | due Wed, April 15 |
| Homework 22 | 27.3 (i), 27.4 (i) | due Fri, April 17 |
| Homework 23 | 31.1, 31.2 | due Wed, April 22 |
| Homework 24 | 32.1 (i)-(iii), 32.2 | due Fri, April 24 |
| Homework 25 | 37.6 (i)-(ii), 37.7 (i)-(ii) | due Mon, April 27 |