The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.
| Week | Date | Chapter | Topics |
|---|---|---|---|
| 1 | Mar 26 | p. 194-5 | Taylor polynomials |
| Mar 28 | Handout | Remainder estimates | |
| Mar 30 | 11.2 | Infinite series, geometric series | |
| 2 | Apr 2 | 11.8 | Power series, ratio test and radius of convergence |
| Apr 4 | 11.9 | Functions as power series (incl. differentiation and integration) | |
| Apr 6 | 11.10 | Taylor and Maclaurin series | |
| 3 | Apr 9 | TBD | Applications |
| Apr 11 | 12.1-12.2 | Coordinates in Rn as a vector space, distance formula, simple surfaces | |
| Apr 13 | 12.3 | Dot products and projections I | |
| 4 | Apr 16 | 12.3 | Dot products and projections II |
| Apr 18 | Review | ||
| Apr 20 | Midterm I, 4:30-6:30 pm | ||
| Apr 20 | 12.4 | Cross products and geometry, relation to volume and area | |
| 5 | Apr 23 | 12.5 | Lines in different forms, planes in vector and standard forms |
| Apr 25 | 12.5 | Equation of a plane in different forms | |
| Apr 27 | 13.1 | Vector functions and space curves | |
| x-hour | Review: Riemann sums and integration | ||
| 6 | Apr 30 | 13.2-13.3 | Derivatives and integrals along curves, arc length |
| May 2 | 14.1 | Functions of several variables | |
| May 4 | 14.2 | Limits and continuity in dimension two and three | |
| 7 | May 7 | 14.3 | Partial derivatives |
| x-hour | Review | ||
| May 9 | 14.4 | Tangent planes and normal lines | |
| May 11 | Midterm II, 4:30-6:30 pm | ||
| May 11 | 14.5 | Chain rule | |
| 8 | May 14 | 14.6 | Gradients and directional derivatives I |
| May 16 | 14.6 | Gradients and directional derivatives II | |
| May 18 | 14.7 | Extreme values I | |
| 9 | May 21 | 14.7-14.8 | Extreme values II |
| May 23 | 14.8 | Lagrange multipliers I | |
| May 25 | 14.8 | Lagrange multipliers II | |
| May 28 | No class, Memorial Day | ||
| May 30 | Review | ||
| June 1 | Final Exam 11:30 am-2:30 pm |