Week |
Section and Topic |
Lecture and Homework Assignments |
1 |
9.1:
9.2: |
Three Dimensional Coordinate Systems
Vectors |
1 |
11,12,13,17,19,20,22,23,26,28,33
5,7,9,11,12,15,17,19,20 |
|
9.3: |
The Dot Product |
2 |
2,3,4,5,9,15,16,17,19,20,21,22,29,32 |
2 |
9.4: |
The Cross Product |
3 |
7,8,9,10,11,19,21,27,28,29 |
|
1.7:
10.1:
9.5: |
Vector Functions and Space Curves |
4 |
1,3,5,7, 13,15, 19
1,3,5,7,9,15,17
3,4,6,7, 11,17,19, 53 |
3 |
3.4:
10.2: |
Derivatives of Vector Functions |
5 |
79,81,83
9,11,13,15,17,23 |
|
6.1:
10.2: |
Integrals of Vector Functions |
5 |
35
33,35,37,39 |
4 |
6.4:
10.3: |
Arc Length and Curvature |
7 |
7,13,16
1,2,3,17,21,22,23,27,41,43 |
|
|
Review for Examination 1 |
|
Study for Examination 1 |
|
|
Examination 1 |
|
|
5 |
9.5:
9.6:
11.1: |
Functions of Several Variables |
8 |
23,27,29,33,39,43,55,56
5,6,7,8,16,17,18,19,20,21,22
5,6,7,8,9,11,15,17 |
|
9.7:
H.1:
H.2: |
Polar and Cylindrical Coordinates |
9 |
3,5,7,9,11,12,15,17,19,21(a),25
1,3,5,9,11,13,15,17,18,25,29,49,51
3,5,7,15,31,35,36 |
6 |
11.3:
11.4: |
Partial Derivatives and Tangent Planes |
10 |
15,16,17,18,19,25,26,29,30,31,39,46,56
1,2,3,5,11,12,15,21 |
|
11.5: |
Chain Rule |
11 |
1,2,3,5,7,9,10,11,21,22,26,28 |
7 |
11.6: |
Directional Derivatives and the Gradient Vector |
12 |
5,6,7,9,11,12,15,21 |
|
11.7: |
Maximum and Minimum Values |
13 |
5,7,9,10,11,27,29 |
|
|
Review for Examination 2 |
|
Study for Examination 2 |
8 |
|
Examination 2 |
|
|
|
12.1:
12.2: |
Double Integration over Rectangles |
14 |
11,12,13
3,5,7,8,12,16,17,27 |
9 |
12.3: |
Double Integrals over General Regions |
15 |
1,3,4,5,7,9,10,17,20,41,47,48 |
|
12.4: |
Double Integrals in Polar Coordinates |
16 |
7,9,11,15,27 |
10 |
12.7: |
Triple Integrals |
20 |
3,4,5,9,11,19 |
|
|
Review for Examination 3 |
|
Study for Examination 2 |
11 |
|
Examination 3 |
|
|
|
13.1: |
Vector Fields |
21 |
1,3,21,24 |
12 |
13.2: |
Line Integrals |
22 |
1,3,5,7,19,20 |
13 |
13.3: |
The Fundamental Theorem for Line Integrals |
23 |
3,5,12,13,14 |
|
13.4: |
Green's Theorem |
23 |
1,3,5,7,9 |
14 |
|
Review for Final Examination |
|
|
FINALS |