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 | F Aug 24 | 13.1, 13.2. Vectors |
| 2 | M Aug 27 | 13.3. Dot product |
| W Aug 29 | 13.4. Cross product | |
| F Aug 31 | 13.5. Planes in 3-space | |
| 3 | M Sep 03 | Labor Day |
| W Sep 05 | 13.6, 13.7. Quadric surfaces, cylindrical and spherical coordinates | |
| F Sep 07 | 14.1. Vector-valued functions | |
| 4 | M Sep 10 | 14.2. Calculus of vector-valued functions |
| W Sep 12 | 14.3. Arc length and speed
Skip arc length parametrization | |
| F Sep 14 | 15.1. Functions of several variables | |
| 5 | M Sep 17 | 15.2. Limits and continuity |
| W Sep 19 | 15.3. Partial derivatives | |
| F Sep 21 | 15.4. Differentiability and tangent planes | |
| 6 | M Sep 24 | 15.5. Gradient and directional derivatives |
| W Sep 26 | 15.6. Chain rule | |
| F Sep 28 | 15.7. Optimization in several variables | |
| 7 | M Oct 01 | Review |
| T Oct 02 | First prelim exam | |
| W Oct 03 | 15.7. Optimization in several variables | |
| F Oct 05 | 15.8. Lagrange multipliers
Skip multiple constraints | |
| 8 | M Oct 08 | Fall Break |
| W Oct 10 | 16.1. Integration in two variables | |
| F Oct 12 | 16.2. Double integrals over more general regions | |
| 9 | M Oct 15 | 16.3. Triple integrals
Skip volume of higher dimensional spheres |
| W Oct 17 | 16.4. Integration in polar, cylindrical, and spherical coordinates | |
| F Oct 19 | 16.5. Applications of multiple integrals
Skip moments of inertia and radius of gyration | |
| 10 | M Oct 22 | 16.6. Change of variables |
| W Oct 24 | 16.6. Change of variables
Skip change of variables in three dimensions | |
| F Oct 26 | 17.1. Vector fields | |
| 11 | M Oct 29 | 17.2. Line integrals |
| W Oct 31 | 17.3. Conservative vector fields | |
| F Nov 02 | 17.3. Conservative vector fields | |
| 12 | M Nov 05 | Review |
| T Nov 06 | Second prelim exam | |
| W Nov 07 | 17.4. Parametrized surfaces and surface integrals | |
| F Nov 09 | 17.4. Parametrized surfaces and surface integrals
Skip excursion | |
| 13 | M Nov 12 | 17.5. Surface integrals of vector fields
Skip electric and magnetic fields |
| W Nov 14 | 18.1. Green's theorem | |
| F Nov 16 | 18.1. Green's theorem | |
| 14 | M Nov 19 | 18.2. Stokes' theorem |
| W Nov 21 | Thanksgiving Break | |
| F Nov 23 | Thanksgiving Break | |
| 15 | M Nov 26 | 18.2. Stokes' theorem |
| W Nov 28 | 18.3. Divergence theorem | |
| F Nov 30 | 18.3. Divergence theorem | |
| 16 | M Dec 03 | Review |
| R Dec 13 | Final exam |