| Week |
Date |
Coverage |
Section |
| 1 |
Jan 29 |
Vectors in R^2 |
12.1 |
| 2 |
24 |
Vectors in R^3 and dot products |
12.2 & 12.3 |
| 26 |
Projections and the cross product |
12.3 & 12.4 |
|
| 3 |
31 |
canceled |
|
| Feb 2 |
Planes and vector valued functions |
12.5 & 13.1 |
|
| 4 |
7 |
The calculus of vector valued functions |
13.2 |
| 9 |
arc length and speed |
13.3 |
|
| 5 |
14 |
Test 1 & curvature |
13.4 |
| 16 |
motions on R^3 and multivariate functions here is a handout |
13.5 & 14.1 |
|
| 6 |
21 |
Partial derivatives and tangent planes |
14.3& part of 14.4 |
| 25 |
Partial derivatives and continuity |
14.1 and part of 14.3 |
|
| 7 |
28 |
Linearization and the gradient |
14.4& part of 14.5 |
| March 2 |
directional derivatives and a review |
14.5 (part) |
|
| 8 |
7 |
Test 2 and the chain rule |
14.6 |
| 9 |
optimization |
14.7 |
|
| 9 |
21 |
double integrals over rectangles |
15.1 |
| 23 |
double integrals over more general regions & triple integrals |
15.2 & 15.3 |
|
| 10 |
28 |
triple integrals, polar and spherical coordinates |
15.3 |
| 30 |
Integration in polar, cylindrical and spherical coordiantes |
15.4 |
|
| 11 |
April 4 |
Test 3 change of variables MOCK EXAMS |
15.5 |
| 6 |
change of variables & vector fields |
15.5 & 16.1 |
|
| 12 |
11 |
Line integrals |
16.2 |
| 13 |
Conservative vector fields |
16.3 |
|
| 13 |
18 |
Green's Theorem |
17.1 |
| 20 |
Parameterized surfaces and surface integrals | 16.4 |
|
| 14 |
25 |
Test 4 & Surface integrals of vector fields MOCK EXAMS | 16.5 |
| 27 |
Stoke's Theorem |
17.1 & 17.2 |
|
| 15 |
May 2 |
The divergence Theorem |
17.3 |
| 4 |
review |