| Week | Topics | Week | Topics | |
|---|---|---|---|---|
| Aug 23 - Aug 27 | 1.1 - 1.3 | Oct 18 - Oct 22 | 4.1 - 4.2 | |
| Aug 30 - Sep 3 | 1.4 - 1.5 | Oct 25 - Oct 29 | 4.2 - 5.1, Exam 2 | |
| Sep 6 - Sep 10 | 1.6 - 3.1 | Nov 1 - Nov 5 | 5.1 - 5.2 | |
| Sep 13 - Sep 17 | 3.1 - 3.2 | Nov 8 - Nov 12 | 7.1 - 7.2 | |
| Sep 20 - Sep 24 | 3.2 - 3.3, Exam 1 | Nov 15 - Nov 19 | 7.3 - 7.4 | |
| Sep 27 - Oct 1 | 3.4 - 3.5 | Nov 22 - Nov 26 | Exam 3 | |
| Oct 4 - Oct 8 | 3.5 - 3.6 | Nov 29 - Dec 3 | 7.4 - 7.5 | |
| Oct 11 - Oct 15 | 3.8, 4.1 | Dec 6 - Dec 10 | 7.6 | |
| Section | Topic | Homework |
|---|---|---|
| 1.1 | Differential Equations and Solutions | 3, 6, 13-15, 20, 22, 26, 28-29 |
| 1.2 | General and Particular Solutions | 5, 7-8, 10-11, 15, 19-22, 25, 30, 35 |
| 1.3 | Slope Fields, Existence and Uniqueness | 1, 3, 11-15, 27-29 |
| 1.4 | Separable Equations | 3, 5, 17, 21, 24, 28, 34, 42, 54, 61 |
| 1.5 | First Order Linear Equations | 3, 7, 17, 24, 29, 33, 37 |
| 1.6 | Substitutions | 3, 7, 9, 18-21, 29, 44, 45, 49, 52, 56-60 |
| 3.1 | Second Order Linear Equations | 1, 4, 9, 17-19, 23-25, 29, 33, 36, 38-39, 43-48 |
| 3.2 | Linear Equations | 2, 3, 5-9, 14, 18, 22-24 |
| 3.3 | Homogeneous Equations | 6-8, 10-11, 18-19, 23, 25, 33, 35, 39-42 |
| 3.4 | Vibrations | 5-8, 13-18 |
| 3.5 | Non-homogeneous Equations | 5, 7, 9, 17, 21-24, 32-33, 47, 51 |
| 3.6 | Forced Oscillations and Resonance | 2-4, 8, 11, 12, 18, 23, 24 |
| 3.8 | Boundary Value Problems | 2-4, 7-9, 13 |
| 4.1 | First Order Systems | 1, 4, 10-13, 16-17, 21-22 |
| 4.2 | The Method of Elimination | 1, 3, 7, 13, 21-22 |
| 5.1 | Matrices and Linear Systems | 3, 4, 6, 11-12, 19-20, 23 |
| 5.2 | The Eigenvalue Method | 2-4, 11, 12, 18, 24 |
| 7.1 | Laplace Transforms | 1-4, 7-9, 11, 14-18, 20, 23, 25-29 |
| 7.2 | Initial Value Problems | 2-3, 5-6, 11-13, 17, 19, 21, 28-31 |
| 7.3 | Partial Fractions | 2-3, 6-7, 11, 15, 27, 30-32 |
| 7.4 | Calculus of Laplace Transforms | 2-3, 5-7, 9, 15-16, 19-20, 23, 25-26, 33, 36-37 |
| 7.5 | Periodic and Piecewise-continuous Functions | 1-3, 7, 11-14, 19-20, 25-27, 31-33 |
| 7.6 | Impulses and Delta Functions | 1, 4-6, 9-11, 13, 14 |
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