This is a very tentative schedule for what I plan to cover in class each week.
| Week 1 (8/23) |
1.1, 1.2 |
vectors, dot products |
| Week 2 (8/30) |
1.3, 1.4, 2.1 |
cross products, determinants, cylindrical and spherical coordinates |
| Week 3 (9/8) |
2.2, 2.3 |
limits, partial derivatives, the gradient |
| Week 4 (9/13) |
2.4, 2.5, 2.6 |
paths, the chain rule, directional derivatives |
| Week 5 (9/20) |
3.1, 3.3 |
2nd derivatives, extrema |
| Wednesday 9/23 |
7:00pm in Keck Hall 100 |
Midterm Exam 1 |
| Week 6 (9/27) |
3.4, 5.2, 5.3 |
Lagrange multipliers, double integrals, Fubini's theorem |
| Week 7 (10/4) |
5.3, 5.4, 5.5 |
double integrals over general regions, triple integrals |
| Week 8 (10/13) |
6.1, 6.2 |
change of variables |
| Week 9 (10/18) |
4.3, 4.4 |
vector fields, divergence and curl |
| Wednesday 9/20 |
7:00pm in Keck Hall 100 | Midterm Exam 2 |
| Week 10 (10/25) |
4.2, 7.1, 7.2 |
arc length, path integrals, line integrals |
| Week 11 (11/1) |
7.3, 7.4 |
parametrized surfaces, surface area |
| Week 12 (11/8) |
7.5, 7.6 |
surface integrals |
| Week 13 (11/15) |
8.1, 8.2 |
Green's theorem, Stokes' Theorem |
| Wednesday 11/17 |
7:00pm in Keck Hall 100 | Midterm Exam 3 |
| Mon, 11/22 |
8.3 |
conservative vector fields |
| Wed, 11/24 |
optional lecture: 8.6 |
differential forms |
| Week 14 (11/29) |
8.4 |
Gauss' theorem |
| Wednesday 12/8 |
7:00pm in HRG100 for A-M, ABL131 for N-Z |
Final Exam |