Lecture plan
We intend to cover most of chapters 13 to 18 of the textbook. The details of the lecture plan are subject to change. We expect you to read the material ahead of each lecture.
Week | Date | Section |
---|---|---|
1 | W Aug 23 | 13.1, 13.2. Vectors |
F Aug 25 | 13.3. Dot product | |
2 | M Aug 28 | 13.4. Cross product |
W Aug 30 | 13.5. Planes in 3-space | |
F Sep 01 | 13.6, 13.7. Quadric surfaces, cylindrical and spherical coordinates | |
3 | M Sep 04 | Labor Day |
W Sep 06 | 14.1. Vector-valued functions | |
F Sep 08 | 14.2. Calculus of vector-valued functions | |
4 | M Sep 11 | 14.3. Arc length and speed |
W Sep 13 | 15.1. Functions of several variables | |
F Sep 15 | 15.2. Limits and continuity | |
5 | M Sep 18 | 15.3. Partial derivatives |
W Sep 20 | 15.4. Differentiability and tangent planes | |
F Sep 22 | 15.5. Gradient and directional derivatives | |
6 | M Sep 25 | 15.6. Chain rule |
W Sep 27 | 15.7. Optimization in several variables | |
F Sep 29 | 15.7. Optimization in several variables | |
7 | M Oct 02 | Review |
T Oct 03 | First prelim exam | |
W Oct 04 | 15.8. Lagrange multipliers | |
F Oct 06 | 16.1. Integration in two variables | |
8 | M Oct 09 | Fall Break |
W Oct 11 | 16.2. Double integrals over more general regions | |
F Oct 13 | 16.3. Triple integrals | |
9 | M Oct 16 | 16.4. Integration in polar, cylindrical, and spherical coordinates |
W Oct 18 | 16.5. Applications of multiple integrals | |
F Oct 20 | 17.1. Vector fields | |
10 | M Oct 23 | 17.2. Line integrals |
W Oct 25 | 17.3. Conservative vector fields | |
F Oct 27 | 17.4. Parametrized surfaces and surface integrals | |
11 | M Oct 30 | 17.5. Surface integrals of vector fields |
W Nov 01 | Catch-up and chapter review | |
F Nov 03 | 18.1. Green's theorem | |
12 | M Nov 06 | Review |
T Nov 07 | Second prelim exam | |
W Nov 08 | 18.1. Green's theorem | |
F Nov 10 | 18.1. Green's theorem | |
13 | M Nov 13 | 18.2. Stokes' theorem |
W Nov 15 | 18.2. Stokes' theorem | |
F Nov 17 | 18.2. Stokes' theorem | |
14 | M Nov 20 | 18.3. Divergence theorem |
W Nov 22 | Thanksgiving Break | |
F Nov 24 | Thanksgiving Break | |
15 | M Nov 27 | 18.3. Divergence theorem |
W Nov 29 | 18.3. Divergence theorem | |
F Dec 01 | Review | |
T Dec 12 | Final exam |