| Week |
Sections from the Third Edition |
| 1 |
| 16.1: |
The definite integral of a function of two variables |
| 16.2: |
Iterated integrals |
| 16.3: |
Triple integrals | |
| 2 |
| 16.4: |
Double integrals in polar coordinates |
| 16.5: |
Integrals in cylindrical and spherical coordinates |
| 18.1: |
The idea of a line integral |
| |
| 3 |
| 18.2: |
Computing line integrals over parameterized curves |
| 18.3: |
Gradient fields and path-independent fields
| |
| Midterm: |
Sections 16.1-16.5 and 18.1-18.3 |
| 4 |
| 18.4: |
Path-dependent vector fields and Green's theorem |
| 19.1: |
The idea of a flux integral |
| 19.2: |
Flux integrals for graphs, cylinders, and spheres |
|
| 5 |
| 20.1: |
The divergence of a vector field |
| 20.2: |
The divergence theorem |
| 20.3: |
The curl of a vector field | |
| 6 |
| 20.4: |
Stoke's Theorem |
| 20.5: |
The three fundamental theorems |
|
