| Week | Section | Topic | Exercises | Homework
due |
Due
Date |
|---|---|---|---|---|---|
| 1 | 1.1 | Modeling | p.14: 2,3, 4, 5, 7, 8, 10, 11a, 15 |
p.14: 4, 8 |
1/30 |
| |
1.2 | Separation of variables |
p.33: 1, 2, 3, 7, 9, 11, 15, 23, 25, 27, 33,
35 |
p.34: 11, 15 |
1/30 |
| |
1.3 | Slope fields | p.48: 1, 5, 8, 9, 11, 13, 14,
15, 16, 17, 18 |
p.50: 14, 16 |
2/6 |
| 2 | 1.4 | Euler's method |
p. 63:1, 5, 6, 10, 13 |
p.63: 6, 13 |
2/6 |
| |
1.5 | Existence/Uniqueness | p. 73: 1, 3, 5, 9, 11, 14, 17 |
p.74: 11, 14 |
2/6 |
| 1.6 | The phase line | p. 91: 1, 3, 5, 7, 13, 15, 17,
19, 22, 23, 29, 32, 33, 34, 35, 38, 44 |
p.92: 22, 32, 34, 38 |
2/13 |
|
| 3 |
1.7 | Bifurcations | p. 107: 1, 3, 5, 7, 9, 17 | p.107: 3, 5 |
2/13 |
| 1.8 | Linear equations | p. 123: 4, 5, 7, 15, 19, 20, 21 |
p.123: 4, 7, 20 |
2/20 |
|
| 4 |
1.8 |
||||
| 1.9 |
Integrating
factor |
p.135: 1,
5, 7, 10, 19, 21 |
p.135: 7, 10 |
2/20 |
|
| 5 |
2.1 | Modeling via systems | p. 164: 1, 3, 7, 16, 20 |
p.164: 1, 7 |
2/27 |
| 2.2 | Geometry of systems | p.182: 1, 3, 4, 7, 8, 12, 13 |
p.182: 3. 7, 13 |
3/7 (Friday) |
|
| 6 |
2.4 |
Euler's method for systems |
p.209: 1, 3, 11 |
p.209: 3 |
3/7 (Friday) |
| |
2.3 | Special systems | p.196: 1, 5, 7, 9, 15, 17, 19 |
p.196: 7, 15, 19 |
3/19 |
| Review |
|||||
| 7 |
Exam 1
(tentatively 3/5, Wed) |
||||
| |
3.1 | Linear Systems | p. 252: 5, 15, 24 |
p.252: 15, 24 |
3/26 |
| 8 | 3.2 | Straight Line Solutions | p. 271: 3, 7, 8, 11, 21, 23 |
p.271: 7, 23 |
3/26 |
| |
3.3 | Real eigenvalues |
p. 261:1,5,9,13 | p.261: 5, 13 |
3/26 |
| 3.4 | Complex Eigenvalues | p. 304: 1, 2, 3, 5, 9, 11, 15,
17,
19 (optional) |
p.304: 2, 9, 15 |
3/26 |
|
| 9 |
3.5 | Zero eigenvalues (repeated eigenvalues will be skipped) |
p.323: 18, 19 |
p.323: 18 |
4/2 |
| |
3.6 | Second order linear equations |
p. 336: 7, 9, 11, 23, 31 |
p.336: 7, 9 |
4/2 |
| |
4.1 | Forced harmonic oscillators | p. 393: 1, 7, 9, 12, 19, 21,
33,
36, 37 |
||
| 10 |
4.2 | Sinusoidal Forcing | p. 406: 1, 7, 13, 19 |
||
| |
4.3 | Resonance | p. 419: 1, 5, 9, 13 |
||
| 11 |
6.1 | Laplace Transforms | p. 571: 3, 6, 11, 13, 15, 17,25 |
||
| |
6.2 | Discontinuous Functions | p. 517:1,5,7,9,17 | ||
| 12 |
6.2 |
||||
| |
6.3 | Second Order Equations | p.593: 3, 5, 6, 11, 15, 19,
20,
21, 27, 29 |
||
| 13 |
Review |
||||
| Exam 2 |
|||||
| 14 |
5.1 |
Equilibrium
point analysis |
|||
| Review |