wk | date | reading | Topic | Exercises |
1 | 3/27 | - | Introduction | |
3/29 | Ch 15.1 | Iterated Integrals | 15.1: 1, 9, 19, 21, 29, 39, 41, 45. | |
3/31 | Ch 15.2 | More general regions | 15.2: 3, 15, 21, 25, 27, 33, 41, 44. | |
Problem set #1 and solution. | ||||
2 | 4/03 | Ch 15.3 | Triple integrals | 15.3: 3, 7, 9, 13. |
4/05 | Ch 15.3 | Triple integrals | 15.3: 17, 23, 27, 31, 33, 35, 39. | |
4/07 | Ch 15.4 | Polar and cylindrical coordinates | 15.4: 1, 3, 7, 19, 23, 31, 35, 39. | |
Problem set #2 and solution. | ||||
3 | 4/10 | Ch 15.4 | Spherical coordinates | 15.4: 37, 43, 45, 49, 53. |
4/12 | Ch 15.5 | Applications of triple integrals | 15.5: 1, 7, 13, 17, 27. | |
4/14 | Ch 15.5 | Applications of triple integrals | ||
Problem set #3 and solution. | ||||
4 | 4/17 | Review session | ||
4/18 | Midterm 1 and solution | |||
4/19 | Ch 15.6 | Change of variables | 15.6: 1, 5, 7, 11, 13, 17, 21. | |
4/21 | Ch 15.6 | Change of variables | 15.6: 25, 31, 33, 35 (use x=2u, y=3v), 37. | |
No homework this week. | ||||
5 | 4/24 | Ch 15.6 | Change of variables | |
4/26 | Ch 16.1 | Vector fields | 16.1: 1, 5, 11, 13, 15, 23, 25, 29. | |
4/28 | Ch 16.1 | Vector fields | 16.1: 41, 43, 47, 51. | |
Problem set #4 and solution. | ||||
6 | 5/01 | Ch 16.2 | Scalar line integrals | 16.2: 1, 5, 9, 11, 15, 17, 43, 45. |
5/03 | Ch 16.2 | Vector line integrals | 16.2: 7, 19, 21, 23, 27, 29, 41, 53, 55. | |
5/05 | Ch 16.3 | Conservative vector fields | 16.3: 3, 5, 9, 11, 17, 19, 23. | |
Problem set #5 and solution. | ||||
7 | 5/08 | Review session | ||
5/09 | Midterm 2 and solution | |||
5/10 | Ch 16.4 | Surfaces | 16.4: 1, 7, 9. | |
5/12 | Ch 16.4 | Surface integrals | 16.4: 13, 17, 19, 21, 25, 29, 35. | |
No homework this week. | ||||
8 | 5/15 | Ch 16.5 | Vector surface integrals | 16.5: 1ac, 5, 7, 9, 13, 17, 25. |
5/17 | Ch 17.1 | Green's theorem | 17.1: 1, 3, 7, 13, 15, 16 (sol.: 3π). | |
5/19 | Ch 17.1 | Green's theorem for general regions | 17.1: 23, 25, 31. | |
Problem set #6 and solution. | ||||
9 | 5/22 | Ch 17.2 | Stokesâ€™ Theorem | 17.2: 1, 3, 5, 9, 11, 15. |
5/24 | Ch 17.2 | Surface Independence (Stokesâ€™ Theorem) | 17.2: 17, 25, 27. | |
Problem set #7 and solution. | ||||
5/26 | Ch 17.3 | Divergence Theorem | 17.3: 3, 7, 9, 13, 15. | |
10 | 5/29 | Problem set #8 and solution. | ||
5/09 | Final exam and solution |