wk | date | reading | Topic | Exercises |
1 | 1/4 | - | Introduction | |
1/6 | Ch 15.1 | Iterated Integrals | 15.1: 1, 9, 19, 21, 29, 39, 41, 45. | |
Solutions to Problem set #1. | ||||
2 | 1/9 | Ch 15.2 | More General Regions | 15.2: 3, 15, 21, 25, 27, 33, 41, 44. |
1/11 | Ch 15.2, 15.3 | Triple integrals | 15.2: 45, 49, 56, 61, 15.3: 3, 7, 9, 13. | |
1/13 | Ch 15.3 | More General Regions | 15.3: 17, 23, 27, 31, 33, 35, 39. | |
Solutions to Problem set #2. | ||||
3 | 1/18 | Ch 15.4 | Polar, Cylindrical Coordinates | 15.4: 1, 3, 7, 19, 23, 31, 35, 39. |
1/20 | Ch 15.4 | Spherical Coordinates | 15.4: 37, 43, 45, 49, 53. | |
Solutions to Problem set #3. | ||||
4 | 1/23 | Ch 15.5 | Applications | (no homework) |
1/24 | Midterm I | Solutions to Midterm I. | ||
1/25 | Ch 15.5 | More applications | 15.5: 1, 7, 13, 17, 27, 49, 51. | |
1/27 | Ch 15.6 | Change of variables | 15.6: 1, 5, 7, 11, 13, 17, 21. | |
Solutions to Problem set #4. | ||||
5 | 1/30 | Ch 15.6 | Change of variables | 15.6: 25, 31, 33, 35 (use x=2u, y=3v), 37. |
2/1 | Ch 16.1 | Vector fields | 16.1: 1, 5, 11, 13, 15, 23, 25, 29. | |
4/1 | Ch 16.1 | Vector fields | 16.1: 41, 43, 47, 51. | |
Solutions to Problem set #5. | ||||
6 | 2/6 | Ch 16.2 | Scalar line integrals | 16.2: 1, 5, 9, 11, 15, 17, 43, 45. |
2/8 | Ch 16.2 | Vector line integrals | 16.2: 7, 19, 21, 23, 27, 29, 41, 53, 55. | |
2/10 | Ch 16.3 | Conservative vector fields | 16.3: 3, 5, 9, 11, 17, 19, 23. | |
Solutions to Problem set #6. | ||||
7 | 2/13 | Exam review | (no homework) | |
2/14 | Midterm II | Solutions to Midterm II. | ||
2/15 | Ch 16.4 | Surfaces | 16.4: 1, 7, 9. | |
2/17 | Ch 16.4 | Surface integrals | 16.4: 13, 17, 19, 21, 25, 29, 35. | |
Solutions to Problem set #7. | ||||
8 | 2/20 | Ch 16.5 | Vector surface integrals | 16.5: 1ac, 5, 7, 9, 13, 17, 25. |
2/22 | Ch 17.1 | Green's theorem | 17.1: 1, 3, 7, 13, 15, 16 (sol.: 3π). | |
2/24 | Ch 17.1 | Green's theorem for general regions | 17.1: 23, 25, 31. | |
Solutions to Problem set #8. | ||||
9 | 2/27 | Ch 17.2 | Stokesâ€™ theorem | 17.2: 1, 3, 5, 9, 11, 15. |
3/1 | Ch 17.2 | Surface Independence (Stokesâ€™ theorem) | 17.2: 17, 25, 27. | |
3/3 | Ch 17.3 | Divergence Theorem | 17.3: 3, 7, 9, 13, 15. | |
Problem set #9. | ||||
Solutions to Problem set #9. |