| Lectures | Sections in Text | Brief Description |
|---|---|---|
| Day 1: 3/26 | 1.3, 1.1, 1.2, 2.1 |
Classification of differential equations; Direction fields; Linear differential equations |
| Day 2: 3/28 | 2.2 | Separable DEs |
| Day 3: 3/31 | 2.3 | Modeling with 1st order DEs |
| Day 4: 4/2 | 2.4, 2.6 | Linear vs nonlinear equations; Exact equations |
| Day 5: 4/5 x-hour |
3.1 | Homogeneous equations with constant coefficients |
| Day 6: 4/4 | 3.2 | Fundamental solutions |
| Day 7: 4/7 | 3.3, 3.4 | Linear independence and Wronskian; Complex roots |
| Day 8: 4/9 | 3.5 | Repeated roots, Reduction of order |
| Day 9: 4/11 | 3.6, 3.7 | Nonhomogeneous equations, Undetermined coefficients; Variation of parameters |
| Day 10: 4/14 | 3.8, 3.9 | Mechanical vibrations; Forced vibrations |
| Day 11: 4/16 | 4.1, 4.2 | Higher order linear equations |
| Day 12: 4/17 x-hour |
7.1 | Systems of DEs |
| Day 13: 4/18 | 7.2, 7.3, 7.4 | Matrices, eigenvalues, eigenvectors etc. |
| Day 14: 4/21 | 7.5, 7.6 | Systems of DEs: real distinct and complex eigenvalues |
| Day 15: 4/23 | 7.6, 7.8 | Systems of DEs: complex and repeated real eigenvalues |
| Day 16: 4/25 | 2.5, 9.1 |
Critical points of autonomous 1st order DEs, Phase portraits of linear systems |
| Day 17: 4/28 | 9.2 | Autonomous systems and stability |
| Day 18: 4/30 | 9.3 | Almost linear systems |
| Day 19: 5/5 | 5.1 | Review of series |
| Day 20: 5/7 | 5.2 | Series solutions, I |
| Day 21: 5/9 | 5.3 | Series solutions, II |
| Day 22: 5/12 | 10.2 | Fourier series |
| Day 23: 5/14 | 10.3 | Fourier convergence theorem |
| Day 24: 5/15 x-hour |
10.4 | Fourier series: even and odd extensions |
| Day 25: 5/16 | 10.5 | Heat equation; Separation of variables |
| Day 26: 5/19 | 10.6 | Other heat equations: nonhomogeneous + insulated ends |
| Day 27: 5/21 | 10.7 | Wave equation |
| Day 28: 5/22 x-hour |
10.7, 10.8 | Wave equation; Laplace equation |
| Day 29: 5/23 | 10.8 | Laplace equation |
| Day 30: 5/28 | :o) | Review |