| Lecture number |
Topics |
Optional Homework (from textbook) |
| 1 |
15.1 Double and Iterated Integrals over Rectangles |
15, 23, 27
|
| 2 |
15.2 Double Integrals over General Regions |
3, 11, 21, 35, 37, 59, 75
|
| 3 |
15.3 Areas and Averages |
9, 17, 19, 21
|
| 4 |
15.4 Double Integrals in Polar Form |
3, 7, 11, 13, 23, 29, 31
|
| 5 |
15.5 Triple Integrals in Rectangular Coordinates |
3, 5, 25, 41, 43
|
| 6 |
15.6 Moments and Centers of Mass |
3, 14, 23, 29, 31 |
| 7 |
15.7 Triple Integrals in Cylindrical and Spherical Coordinates |
7, 17, 21, 27, 41
|
| 8 |
15.8 Substitution in Iterated Integrals |
3, 7, 15, 23
|
| 9 |
12 Vectors, lines, planes |
Review exercises: 11,13,17,19,21,27,31,33,39,41,51
|
| 9 |
13.1 Vectors |
1, 3, 5, 11, 23
|
| 9 |
13.2 Vectors |
3, 9, 17, 33
|
| 10 |
13.3 Arc Length in Space |
1, 5, 13, 15, 19
|
| 11 |
13.4 Curvature and Normal Vectors of a Curve |
3, 9, 13, 19
|
| 12 |
16.1 Line Integrals |
9, 13, 19, 29
|
| 13, 14 |
16.2 Vector Fields and Line Integrals: Work, Circulation and Flux |
1, 3, 7, 15, 21, 25, 29, 41, 47, 51
|
| 15 |
16.3 Path Independence, Conservative Fields, Potential Functions |
5, 9, 17, 21, 27, 29, 31, 33, 35
|
| 16, 17 |
16.4 Green's Theorem in the Plane |
3, 7, 11, 13, 17, 23, 25, 39
|
| 18, 19 |
16.5 Surfaces and Area |
3, 5, 13, 17, 19, 31, 43
|
| 20 |
16.6 Surface Integrals |
1, 5, 17, 21, 23, 31
|
| 21, 22 |
16.7 Stokes' Theorem |
3, 5, 9, 15, 19, 21
|
| 23, 24 |
16.8 The Divergence Theorem |
1, 5, 9, 15, 17
|
MAT 21D