| Section | Topic |
|---|---|
| 5.1 through 6.4 | Refer to the list of review topics for the midterm. |
| 7.1 | Path integrals (excluding supplement on The Total Curvature of a Curve). |
| Exercises | 1-5. |
| 7.2 | Line integrals, line integrals of gradient fields. |
| Exercises | 1-3, 6, 9, 14-16. |
| 7.3 | Parametrized surfaces and their tangent planes. |
| Exercises | 1-3, 5-7, 9-11. |
| 7.4 | Area of a (parametrized) surface (excluding Surfaces of Revolution). |
| Exercises | 1, 3, 5-9. |
| 7.5 | Integrals of scalar functions over surfaces (excluding Integrals over Graphs). |
| Exercises | 1-4, 6-8. |
| 7.6 | Integrals of vector fields over surfaces. |
| Exercises | 3-7. |
| 8.1 | Green's Theorem (excluding Vector Form using the Divergence). |
| Exercises | 1-3, 5, 7, 9. |
| 8.2 | Stokes' Theorem (only pages 532 through 538). |
| Exercises | 1-3, 5, 6, 9, 10. |
| 8.3 | Conservative fields (excluding Physical Interpretations). |
| Exercises | 1-4, 7, 9. |
| 8.4 | Gauss' Theorem (only pages 561 through 566). |
| Exercises | 1-7. |