| Date | Topic | Homework | |
| 1 | Aug 27 | Introduction; parametric curves | 9.1: 5,7,11,13,17,22,25,27 |
| 2 | Aug 29 | Calculus with parametric curves | 9.2: 1,3,7,9,13,21,22,37,47 |
| 3 | Aug 31 | Polar coordinates | 9.3: 13,17,19,29,33,46,47,51,55 |
| * | Sep 3 | Labor day, no class | |
| 4 | Sep 5 | Areas and lengths in polar coordinates | 9.4: 3,5,9,23,29,33,35 |
| 5 | Sep 7 | Vectors | 10.1: 9,13,19 10.2: 2,13,17,31,33 |
| 6 | Sep 10 | Dot product, cross product, and determinant | 10.3: 17,21,38,45 10.4: 3,7,9,15,29,41 |
| 7 | Sep 12 | Lines and planes | 10.5: 3,5,17,19,21,23,25,27,38 |
| 8 | Sep 14 | Cylinders and quadric surfaces | 10.6: 3,5,17,21,23,25,34 |
| 9 | Sep 17 | Vector-valued functions and space curves | 10.7: 3,17-22,23,29,33,35,45,49,57,63 |
| 10 | Sep 19 | Functions of several variables | 11.1: 13,14,15,16,27,33,41-46,51 |
| 11 | Sep 21 | Limits and continuity | 11.2: 1,3,5,7,9,11,13,15,29 |
| 12 | Sep 24 | Partial derivatives | 11.3: 7,9,11,13,29,31,37,39,43,49,71,77 |
| 13 | Sep 26 | Tangent planes and differentials | 11.4: 1,3,5,11,13,19,25,27,32 |
| 14 | Sep 28 | The chain rule | 11.5: 1,3,5,7,11,17,19,23,25,33,41,43 |
| 15 | Oct 1 | Directional derivatives and the gradient vector | 11.6: 1,3,5,7,9,15,17,31,33,37,39 |
| 16 | Oct 3 | Maxima and minima | |
| 17 | Oct 5 | More maxima and minima; Lagrange multipliers | |
| 18 | Oct 8 | Midterm #1: in class, covers lectures 1-15 | 11.7: 1,2,3,5,7,9,23,25,27,31,35 |
| 19 | Oct 10 | More Lagrange multipliers | 11.8: 1,3,5,7,16,17,19,21,23,39 |
| 20 | Oct 12 | Double integrals over rectangles | 12.1: 3,7,11,13,15,21,23,27,29,37,40 |
| 21 | Oct 15 | Double integrals over general regions | 12.2: 3,7,11,15,19,23,31,35,37,43,51 |
| 22 | Oct 17 | Double integrals in polar coordinates | 12.3: 1,2,7,11,13,15,17,23 |
| 23 | Oct 19 | Applications of double integrals | 12.4: 1,3,5,7,9,11,13 |
| 24 | Oct 22 | Triple integrals | 12.5: 3,5,7,9,11,13,17,27,31,33 |
| 25 | Oct 24 | Triple integrals in cylindrical coordinates | 12.6: 5,6,11,12,15,17,19,25,27 |
| 26 | Oct 26 | Triple integrals in spherical coordinates | 12.7: 5,7,11,15,17,20,21,31,35 |
| 27 | Oct 29 | Change of variables, Jacobians | |
| 28 | Oct 31 | More change of variables and Jacobians | 12.8: 1,3,5,7,9,11,13,15,17,19,21 |
| 29 | Nov 2 | Vector fields | 13.1: 5, 11-14, 15-18, 23, 29 |
| 30 | Nov 5 | Line integrals | 13.2: 1,3,5,7,13,15,17,19 |
| 31 | Nov 7 | The fundamental theorem of line integrals | 13.3: 3,5,7,9,13,15,17,21,31 |
| 32 | Nov 9 | Green's theorem I | |
| * | Nov 12 | Veterans day, no class | |
| 33 | Nov 14 | Green's theorem II | |
| 34 | Nov 16 | Midterm #2: in class, covers lectures 1-31, mainly 16-31 | 13.4: 1,3,7,9,15,17,19,21,27 |
| 35 | Nov 19 | Curl and divergence | |
| 36 | Nov 21 | Parametric surfaces | 13.5: 1,3,5,7,8,9,11,13,15,17,23,25,29 |
| * | Nov 23 | day after Thanksgiving, no class | |
| 37 | Nov 26 | More parametric surfaces; surface integrals | 13.6: 1,3,11-14,15,17,19,29,33,35,37 |
| 38 | Nov 28 | More surface integrals | 13.7: 5,7,9,19,21,23,25,27,37 |
| 39 | Nov 30 | Stokes' theorem I | |
| 40 | Dec 3 | Stokes' theorem II | 13.8: 1,3,5,7,11,12,13,14,15 |
| 41 | Dec 5 | Divergence theorem I | 13.9: 1,3,5,7,9,17,18,19,24,25,27 |
| 42 | Dec 7 | Divergence theorem II | |
| 43 | Dec 10 | Review | Memorize chart on p. 795 |
| 44 | Dec 15 | Final exam, 12:30-3:30, location TBA | covers entire course |