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