|
Date |
Topic |
Book |
HomeworkHmwk |
Practice ProblemsProbs |
Sept. |
11 |
Introduction to the Course |
§2.1 |
|
9, 12, 14, 17, 18, 22
|
|
12 |
Graphing functions of several variables |
§2.2 |
|
6, 10, 20, 27, 37, 39
|
|
14 |
Limits |
§2.3 |
|
4, 5, 6
|
|
18 |
Limits and Continuity |
§2.3 |
|
8, 9, 15, 17, 27, 34
|
|
19 |
Partial Derivatives |
§2.4 |
|
9, 10, 13, 14, 15, 16
|
|
21 |
Derivatives |
§2.4 |
H1 |
23, 25, 26, 39, 40
|
|
25 |
Differentiability |
§2.4 |
A1 |
46, 67, 68, 69
|
|
26 |
The Chain Rule |
§2.6 |
|
5, 6, 7, 14, 15, 16
|
|
28 |
Curves in the plane and in space |
§3.1 |
H2 |
7, 10, 11, 20, 21, 31
|
Oct. |
2 |
Tangents, Velocity, and Arclength |
§3.2,3.3 |
A2 |
§3.2:15,17,23,24, §3.3:7,9,11
|
|
3 |
Gradients |
§4.1 |
|
7,9,11,19,21,31,35
|
|
5 |
Higher order partial derivatives |
§2.6 |
H3 |
5, 10, 11, 12, 14, 22
|
|
9 |
Thanksgiving |
|
A3 |
|
|
10 |
Divergence and curl |
§4.6 |
|
1—6, 13—16
|
|
12 |
More about divergence and curl |
§4.6 |
H4 |
9, 11, 13, 21—25
|
|
16 |
Identities of vector analysis |
§4.8 |
A4 |
2, 3
|
|
17 |
Paths and parameterizations |
§5.1 |
|
11,13,17
|
|
19 |
Path integrals of real valued functions |
§5.2 |
H5 |
5,7,15,17,21,23,25
|
|
23 |
Path integrals of vector valued functions |
§5.3 |
A5 |
1, 5, 6, 9
|
|
24 |
Integrals independent of path |
§5.4 |
|
1, 4, 13, 15, 20
|
|
26 |
Double integrals |
§6.1 |
H6 |
11, 17, 18
|
|
30 |
More general regions of integration |
§6.2 |
A6 |
2, 3, 12, 14, 16, 22
|
|
31 |
Changing the order of integration |
§6.3 |
|
16—20
|
Nov. |
2 |
Change of Variables |
§6.4 |
H7 |
1, 2, 22, 32
|
|
6 |
Triple integrals |
§6.5 |
A7 |
2, 3, 5, 10, 12, 14
|
|
7 |
Parameterized surfaces |
§7.1 |
|
2, 3, 7, 13, 14, 15
|
|
9 |
Surface integrals of real valued functions |
§7.3 |
H8 |
5, 6, 8, 10
|
|
13 |
Surface integrals of vector fields |
§7.4 |
A8 |
7, 8, 9, 16
|
|
14 |
Multivariable theorems of calculus |
|
|
|
|
16 |
Green's theorem |
§8.1 |
H9 |
3, 4, 6, 9, 14
|
|
20 |
Divergence (Gauss') theorem |
§8.2 |
A9 |
3, 6, 9, 11
|
|
21 |
Stokes' theorem |
§8.3 |
|
3, 15, 17, 19
|
|
23 |
Integration Tricks |
|
H10 |
|
|
27 |
More Integration Tricks |
|
A10 |
|
|
28 |
Differential Forms |
|
|
|
|
30 |
Review for December exam |
|
H11 |
|
|
4 |
|
|
A11 |
|
|
5 |
|
|
|
|
|
7 |
|
|
H12 |
|
|
11 |
|
|
A12 |
|