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 27 | p. 194-5 | Taylor polynomials |
Mar 29 | Handout | Remainder estimates | |
Mar 31 | 11.2 | Infinite series, geometric series | |
2 | Apr 3 | 11.8 | Power series, ratio test and radius of convergence |
Apr 5 | 11.9 | Functions as power series (incl. differentiation and integration) | |
Apr 7 | 11.10 | Taylor and Maclaurin series | |
3 | Apr 10 | TBD | Applications |
Apr 12 | 12.1-12.2 | Coordinates in R^{n} as a vector space, distance formula, simple surfaces | |
Apr 14 | 12.3 | Dot products and projections I | |
4 | Apr 17 | Review | |
Apr 19 | 12.3 | Dot products and projections II | |
Apr 19 | Midterm I, 4:30 - 6:30 pm | ||
Apr 21 | 12.4 | Cross products and geometry, relation to volume and area | |
5 | Apr 24 | 12.5 | Lines in different forms, planes in vector and standard forms |
Apr 26 | 12.5 | Equation of a plane in different forms | |
Apr 28 | 13.1 | Vector functions and space curves | |
x-hour | Review: Riemann sums and integration | ||
6 | May 1 | 13.2-13.3 | Derivatives and integrals along curves, arc length |
May 3 | 14.1 | Functions of several variables | |
May 5 | 14.2 | Limits and continuity in dimension two and three | |
7 | May 8 | 14.3 | Partial derivatives |
x-hour | Review | ||
May 10 | 14.4 | Tangent planes and normal lines | |
May 11 | Midterm II, 4:30 - 6:30 pm | ||
May 12 | 14.5 | Chain rule | |
8 | May 15 | 14.6 | Gradients and directional derivatives I |
May 17 | 14.6 | Gradients and directional derivatives II | |
May 19 | 14.7 | Extreme values I | |
9 | May 22 | 14.7-14.8 | Extreme values II |
May 24 | 14.8 | Lagrange multipliers | |
May 26 | Review | ||
June 1 | Final Exam, 11:30 am - 2:30 pm |