Section |
Topic |
Recommended Homework |
12.1 |
Three-dimensional coordinate systems |
3, 7, 11, 13, 17, 23, 31, 41 |
12.2 |
Vectors |
1, 3, 5, 11, 15, 19, 21, 25, 31, 37 |
12.3 |
The dot product |
5, 7, 9, 11, 17, 19, 21, 23, 27, 37, 39, 43, 51 |
12.4 |
The cross product |
1, 3, 5, 11, 13, 15, 25, 29, 39, 45 |
12.5 |
Equations of lines and planes |
1, 3, 5, 7, 13, 19, 23, 27, 31, 35, 39, 45, 65 |
12.6 |
Cylinders and quadric surfaces |
3, 5, 11, 13, 21-28, 41, 43 |
10.1 |
Curves defined by parametric equations
(omit Examples 4 and 7) |
1, 3, 5, 7, 19, 21 |
13.1 |
Vector functions and space curves |
3, 5, 7, 11, 13, 15, 17, 19-24, 33, 35, 39 |
13.2 |
Derivatives and integrals of vector functions |
1, 3, 5, 9, 11, 13, 19, 25, 33, 37, 49 |
13.3 |
Arc length (omit curvature) |
1, 3, 5 |
13.4 |
Motion in space: velocity and acceleration |
3, 5, 9, 11, 15, 19, 23
|
14.1 |
Functions of several variables |
11, 13, 23, 25, 29, 37, 39, 41, 53, 53-58 |
14.2 |
Limits and continuity |
7, 9, 11, 27, 31 |
14.3 |
Partial derivatives |
3, 13, 15, 17, 19, 21, 35, 37, 41, 47, 49, 81 |
14.4 |
Tangent planes and linear approximations |
1, 3, 5, 17, 19, 23, 25, 29, 31 |
14.5 |
The chain rule |
1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 27, 29, 39 |
14.6 |
Directional derivatives and the gradient vector |
1, 5, 7, 9, 11, 13, 21, 23, 39, 41, 53, 59 |
14.7 |
Maximum and minimum values |
5, 7, 9, 11, 27, 29, 31 |
14.8 |
Lagrange multipliers |
3, 5, 7, 9, 11, 19 |
15.1 |
Double integrals over rectangles |
1, 5, 11, 13 |
15.2 |
Iterated integrals |
3, 5, 7, 9, 11, 13, 15, 21, 23, 27, 33 |
15.3 |
Double integrals over general regions |
1, 3, 5, 7, 9, 11, 13, 19, 21, 23, 37, 39, 43, 45, 49 |
10.3 |
Polar coordinates (omit tangents) |
1, 3, 5, 7, 9, 15, 21, 23, 29, 31, 39 |
15.4 |
Double integrals in polar coordinates |
9, 11, 13, 19, 21, 25, 29, 31 |
15.5 |
Applications of double integrals
(probability examples only) |
23, 24, 25 |
16.1 |
Vector fields |
1, 3, 5, 11-18, 21, 25 |
16.2 |
Line integrals |
1, 3, 5, 7, 11, 17, 19, 23, 25 |
16.3 |
The fundamental theorem for line integrals |
3, 5, 7, 9, 11, 13, 19, 21, 23 |
16.4 |
Green's theorem |
1, 3, 7, 9, 11, 13, 15, 19 |