| Wk | Date | Ch. | Topic | Homework / Solutions |
|---|---|---|---|---|
| 1 | T, Jan 17 | 1.1; 1.2 | Modeling; Separation of variables |
hw1
1.1: #3, 4, 17, 18. hw1s,
hwtemp |
| Th, Jan 19 | 1.3; 1.4 | Slope fields; Numerical Technique | hw2
1.2: #8, 12, 21, 41. hw2s, |
|
| 2 | T, Jan 24 | 1.5 | Existence/uniqueness | hw3
1.3: #5, 8, 15. hw3s vecs hw4 1.5: #2, 5-8, 13, 15. hw4s |
| Th, Jan 26 | 1.6 | Equilibria and the phase line | hw5 1.6: # 2, 4, 8, 44. hw5s | |
| 3 | T, Jan 31 | 1.8; 1.9 | Linear differential equations; Integrating factors | hw6 1.9: #2, 4, 16, 24. hw6s |
| Th, Feb 2 | 1.7 | Bifurcations | hw7 1.7: #2, 20. hw7s bifs | |
| 4 | T, Feb 7 | 2.1; 2.2 | Modeling
via systems; The geometry of systems |
hw8 2.1:
# 9, 10, 16, 20. hw8s hw9 2.2: #8, 14, 16. hw9s |
| Th, Feb 9 | 2.3; 2.4 | The
damped oscillator; Analytic methods for systems |
hw10 2.3: #2; 2.4 # 13. hw10s | |
| 5 | T, Feb 14 | 3.1; 3.2 | Properties
of linear systems; Straight line solutions |
hw11
3.1: # 7, 24, 26. hwlls hw12 3.2: #2, 4, 17. hw12s |
| Th, Feb 16 | 3.3; 3.4 | Phase
planes; Complex
eigenvalues |
hw13 3.3: # 20; 3.4: #4, 10. hw13s | |
| 6 | T, Feb 21 | 3.5; 3.6 |
Repeated and zero eigenvalues; Second order linear equations |
hw14
3.5: #2, 6, 18. hw14s hw15 3.6: #2,4,6,8,10. hw15s |
| Th, Feb 23 | 3.7 | The
trace-determinant plane |
hw16 3.7: #2, 4, 6. hw16s | |
| 7 | T, Feb 28 | Review | ||
| Th March 1 | Midterm Exam 1 | |||
| 8 | T, March 6 | 4.1; 4.2 | Forced
harmonic oscillators; Sinusoidal forcing |
hw17
4.1: #2, 4, 8 (plot 3solns. for each). hw17s hw18 4.2: #2, 7, 14. hw18s |
| Th, Mar 8 | 4.3 | Undamped forcing and resonance | hw19 4.3: #12, 18, 21. hw19s | |
| 9 | T, Mar 13 | SPRING BREAK | ||
| Th, Mar 15 | 14.3 | SPRING BREAK | ||
| 10 | T, Mar 20 | 6.1 |
Laplace transforms | hw20 6.1: #2, 12, 14, 16, 24. hw20s |
| Th, Mar 22 | 6.2 | Discontinuous functions | hw21 6.2: #3, 4, 10, 11. hw21s | |
| 11 | T, Mar 27 | 6.3 | Second
order equations; |
hw22 6.3: #16, 28, 30. hw22s |
| Th, Mar 29 | 6.4 |
Delta functions and impulse forcing | hw23 6.4: #2, 4, 8. hw23s | |
| 12 | T, April 3 | 6.5 | Convolutions; The qualitative theory | hw24 6.5: #3, 7; 6.6: #2. hw24s |
| Th, April 5 | Review | |||
| 13 | T, April 10 | Midterm Exam 2 | ||
| Th, April 12 | 5.1 | Equilibrium point analysis | hw25 5.1: #3, 6, 8. hw25s | |
| 14 | T, April 17 | 5.2 |
Qualitative analysis | |
| Th, April 19 | 5.3 | Hamiltonian systems | ||
| 15 | T, April 24 | 1. Bending, Bergeron, Botsford | ||
| Th, April 26 | 2. Herbst, Immerman, Myones | 3. Bauman, Emelko, Nowak, Shook | ||
| 16 | Fri,
May 4 4 - 7pm |
4. Buchanan, Wu, Zhang 5. Flannery, Harper, Lee |
6. Borsi, Einhaus, Liebendorfer, Pavlakis 7. Jackman, Xie, Zhou |
|