# | Date | Sections | Subjects | Assignments |
---|---|---|---|---|
1 | N1 | Modeling | all (answers) | |
2 | 1.1 | Modeling (continued) | 3, 5, 15, 17, 19, 21. | |
1.2 | Separation of Variables | 1, 3, 7, 13 | ||
3 | 1.2 | Separation of Variables (continued) | 25, 29, 31, 35. | |
4 | 1.3 | Slope Fields; Quiz 1 | all odd 1-13, 14, 15, 17. | |
5 | 1.4 | Euler's Method | 1, 13, 15. | |
1.5 | Existence and Uniqueness | 1, 3, 5, 7, 10. | ||
1.6 | Equilibria and Phase Line | 1, 3, 5, 7, 13, 15, 23, 25, 27, 31, 33, 37, 39, 43. | ||
6 | N2 | Bifurcations | (No exercises in N2) | |
1.7 | 1, 3, 5, 9, 11, 17. | |||
7 | 1.8 | Linear Differential Equations | all odd 1-13, 21, 23. | |
1.9 | Integrating Factors | all odd 1-11, 21, 23. | ||
8 | 2.1 | Modeling via Systems | 1, 2, 7, 8, 9, 17, 19, 21, 23, 25, 26, 27, 29. | |
9 | 2.2 | Geometry of Systems | all odd 1-27. | |
10 | 2.3 | Analytic Methods | all odd 1-11, 19. | |
2.4 | Euler's Method | 1, 3, 5, 14, 15. | ||
11 | N3 | Phase Plane; Review for the exam | all (answers) | |
12 | Exam 1 | |||
13 | 3.1 | Review of the exam Linear Systems | all odd 1-9, 13, 17, 19, 21, 27, 29, 33, 35. | |
N4 | Matrix Exponentials | |||
14 | N4 | Matrix Exponentials (continued) | all (answers) | |
15 | 3.2 | Straight-Line Solutions | all odd 1-19 | |
16 | 3.3 | Phase Plane: Real Eigenvalues | all odd 1-15. | |
17 | 3.4 | Phase plane: Complex Eigenvalues | all odd 1-15, 19, 21, 23. | |
18 | 3.5 | Repeated and Zero Eigenvalues | all odd 1-17. | |
19 | 3.7 | The Trace-Determinant Plane (emphasizing one-parameter families); Quiz 2 |
parts "c" of: 3, 7, 11, 13. | |
20 | 3.6 | Second-Order Linear Equations | all odd 13-29; 36(a, b). | |
21 | 3.8 | Linear Systems in Three Dimensions | 4, 5, 6, 7. | |
22 | 4.1 | Forced Harmonic Oscillators | all odd 1-41. | |
4.2 | Sinusoidal Forcing; Review for the exam | odd 1-13, 17, 27. | ||
23 | Exam 2 | |||
24 | 4.4 | Review of the exam; Steady State | Special exercises. | |
25 | 4.3 | Resonance | all odd 1-17, 21 | |
26 | 5.1 | Equilibria, Linearization | all odd 1-17, except 5. | |
27 | 8.1 | Discrete Systems; Quiz 3 | all odd 1-9, 15, 19, 23, 27, 31. | |
28 | Review for the final exam |