| Lectures | Sections in Text | Brief Description |
|---|---|---|
| Day 1: 9/25 | 1.1, 1.2 | Vectors and inner product, equations of a line |
| Day 2: 9/27 | 1.4 | Cross product, equation of a plane |
| Day 3: 9/30 | 1.5, 1.6 | n-dimensional Euclidean space; curves in space |
| Day 4: 10/1 x-hour |
2.1 | Graphs and level surfaces |
| Day 5: 10/2 | 2.1, 2.2 | Graphs and level surfaces; Partial derivatives |
| Day 6: 10/4 | 2.3 | Tangent planes; Jacobian matrix |
| Day 7: 10/7 | 2.4 | Chain rule |
| Day 8: 10/9 | 2.5 | Gradients: fundamental properties |
| Day 9: 10/11 | 2.5 | Gradients and tangent planes |
| Day 10: 10/14 | 4.1, 4.2 | Acceleration; Arc length |
| Day 11: 10/15 x-hour |
4.2, 4.3 | Arc length; Vector fields |
| Day 12: 10/16 | 4.3, 4.4 | Vector fields; Curl and divergence |
| Day 13: 10/18 | 4.4, 5.1 | Curl and divergence; Integrals; Cavalieri's principle |
| Day 14: 10/21 | 5.2 | The double integral over a rectangle |
| Day 15: 10/23 | 5.3 | The double integral over general regions |
| Day 16: 10/25 | 5.3, 5.4 | The double integral over general regions; Triple integrals |
| Day 17: 10/28 | 5.4 | Triple integrals |
| Day 18: 10/29 x-hour, instead of Nov. 1 |
5.4 | Triple integrals |
| Day 19: 10/30 | 5.5 | Change of variables: cylindrical coordinates |
| Day 20: 11/4 | 5.5 | Change of variables: spherical coordinates |
| Day 21: 11/5 x-hour |
5.6 | Applications of multiple integrals |
| Day 22: 11/6 | 6.1 | Line integrals |
| Day 23: 11/8 | 6.1 | Line integrals |
| Day 24: 11/11 | 6.2 | Parametrized surfaces |
| Day 25: 11/13 | 6.3 | Surface area |
| Day 26: 11/15 | 6.3, 6.4 | Surface area; Surface integrals |
| Day 27: 11/18 | 6.4 | Surface integrals |
| Day 28: 11/20 | 6.4, 7.1 | Surface integrals; Green's theorem |
| Day 29: 11/22 | 7.1, 7.2 | Green's theorem; Stokes' theorem |
| Day 30: 11/25 | 7.2 | Stokes' theorem |
| Day 31: 11/26 x-hour |
7.3 | Gauss' theorem |
| Day 32: 12/2 | 7.4 | Path independence; FTC |
| Day 33: 12/4 | -- | Review |