Here is a brief overview of the material we will cover. (For a day-by-day breakdown of the material, see the Homework page.)
NOTE: If you bought the "non-early-transcendentals" verstion of the text, then add 1 to each chapter number (so, e.g., vectors are in Ch. 13)
| WEEK | SECTIONS | BRIEF DESCRIPTION |
|---|---|---|
| 1 | 12.1 - 12.3 | Vectors, dot and cross products |
| 2 | 12.4 - 12.6 | Lines, Planes, Quadric Surfaces |
| 3 | 13.1 - 13.2 | Vector-Valued functions |
| 4 | 13.3 - 13.5 | Arclength, curvature, motion in 3D |
| 5 | 14.1 - 14.3 | Functions of two or more variables, limits and continuity, partial derivatives |
| 6 | 12.1 - 14.3 | Catch-Up, Review, Hour Exam 1 |
| 7 | 14.4 - 14.6 | Linear approximation, tangent planes, gradient, directional derivative, chain rule |
| 8 | 14.7 - 14.8 | Optimization, Lagrange multipliers |
| 9 | 15.1 - 15.2 | Integration in several variables, double integrals |
| 10 | 15.3 - 15.4 | Triple integrals |
| 11 | 15.5 - 16.2 | Change of variables, vector fields, line integrals |
| 12 | 14.4 - 16.2 | Catch-Up, Review, Hour Exam 2 |
| 13 | 16.3 - 16.4 | Conservative vector fields, parametrized surfaces and surface integrals |
| 14 | 16.5 - 17.1 | Surface integrals of vector fields, Green's Theorem |
| 15 | 17.1 - 17.2 | Green's Theorem, Stokes' Theorem, Review |
