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 