The problems suggested here for practice are not to be turned in. For the weekly written assignments, consult the homework page.
| Date | Reading | Topic | Suggested problems | |
| 1 | 1/17 | 12.1 | Equations, distances | 3 to 10, 13 to 20, 22 to 42, 45*, 48* |
| 2 | 1/22 | 12.2 | Inequations, vectors | 2 to 7, 9 to 26, 43 to 45, 46*, 47* |
| 1/24 | 12.3 | Dot product | 1 to 13, 14 to 30, 39 to 44, 46, 47, 45*, 53* to 56*, 62* to 65* | |
| 3 | 1/29 | 12.4 | Cross product | 1 to 15, 17 ot 22, 27 ot 38, 42*, 43*, 44* |
| 1/31 | 12.5 | Lines and planes | 1 to 16, 19 to 40, 45 to 48, 51 to 60, 64 to 70 | |
| 4 | 2/05 | 13.1 | Parametrizations | 1 to 6, 27 to 32, 42 to 46 |
| 2/07 | 13.2 | Calculus of vector functions | 3 to 16, 27, 28, 32 to 42, 48 to 51 | |
| 5 | 2/12 | 14.1 | Functions of several variables | 9 to 22, 32 to 35, 38, 61 to 66 |
| 2/14 | 14.2 | Limits and continuity | 1, 5 to 22, 29 to 41 | |
| 6 | 2/19 | 14.3 14.4 | Partial derivatives Linear approximations | 15 to 44, 47 to 70, 75 to 78 11 to 19, 21, 42 |
| 2/21 | 14.5 | The Chain Rule | 1 to 26, 45 to 48, 49* to 59* | |
| 7 | 2/26 | Midterm 1 and a solution | ||
| 2/28 | 14.6 | The gradient vector | 4 to 17, 19 to 26, 31, 33, 41 to 46, 49 to 57 | |
| 8 | 3/05 | Spring Break | ||
| 3/07 | Spring Break | |||
| 9 | 3/12 | 14.7 | Extreme values | 1, 2, 5 to 22, 31 to 38, 41 to 55 |
| 3/14 | 14.8 | Lagrange multipliers | 3 to 14, 21 to 23 | |
| 10 | 3/19 | 15.1 | Integrals over rectangles | 2, 3a, 4a, 15 to 35, 37 to 40 |
| 3/21 | 15.2 | Integrals over general regions | 1 to 32, 45 to 56 | |
| 11 | 3/26 | 15.3 | Integrals in polar coordinates | 1 to 27, 29 to 32, 40* |
| 3/28 | 15.4 | Applications of double integrals | ||
| 12 | 4/02 | 15.6 | Triple integrals | 1 to 22, 27, 28, 30 to 36 |
| 4/04 | Midterm 2 and a solution | |||
| 13 | 4/09 | 15.7 15.8 | Integrals in cylindrical coordinates Integrals in spherical coordinates | 1 to 12, 17 to 30 1 to 30 |
| 4/11 | 15.9 | Changes of variables | 15 to 20 | |
| 14 | 4/16 | 16.1 16.2 | Vector fields Line integrals | 15 to 18, 21 to 24 1 to 16, 19 to 22 |
| 4/18 | 16.3 16.4 | The Fundamental Theorem Green's Theorem | 3 to 10, 12 to 22 1 to 10 |
|
| 15 | 4/23 | 16.5 16.6 | Curl and divergence Parametric surfaces | 1 to 8, 12 to 18 1, 2, 33 to 36, 39, 40, 46, 48 |
| 4/25 | 16.7 16.8 16.9 | Surface integrals Stokes' Theorem The Divergence Theorem | 5 to 8, 14, 15, 21 to 23 2 to 4, 6, 7 to 11, 13 to 15 |
|
| 5/02 | Final Examination |