Here is a brief overview of the material we will cover. (For a day-by-day breakdown of the material, see the Homework page.)
| WEEK | SECTIONS | BRIEF DESCRIPTION |
|---|---|---|
| 1 | 11.1 - 11.3 | Vectors in 2 and 3 dimensions, dot product |
| 2 | 11.4 - 11.6 | Cross products, lines, vector valued calculus |
| 3 | 11.7 - 11.8 | Motion in space, length of curves |
| 4 | 11.9 - 12.2 | Principal normal vector, planes and surfaces |
| 5 | 12.3 - 12.4 | Limits and continuity, partial derivatives |
| 6 | 12.5 | Chain rule, Review, Hour Exam 1 |
| 7 | 12.6 - 12.7 | Directional derivatives and gradient, tangent planes |
| 8 | 12.8 - 12.9 | Maximum/Minimum problems, Lagrange multipliers |
| 9 | 13.1 - 13.2 | Double integrals |
| 10 | 13.3 - 13.4 | Polar coordinates, triple integrals |
| 11 | 13.5 | Cylindrical and spherical coordinates, Review, Hour Exam 2 |
| 12 | 13.6 - 14.1 | Integrals for mass, change of variables, vector fields |
| 13 | 14.2 - 14.4 | Line integrals, Green's theorem |
| 14 | 14.5 - 14.6 | Divergence and curl, surface integrals |
| 15 | 14.7 | Stokes Theorem, Review |
| 16 | Final Exam |
