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 | Sections | Brief Description |
---|---|---|---|
1 | 3/30 M | Handout | Remainder estimates |
4/1 W | 11.2 | Infinite Series, geometric series | |
4/3 F | 11.8 | Power Series, ratio test and radius of convergence | |
2 | 4/6 M | 11.9 | Functions as power series |
4/8 W | 11.10 | Taylor and Maclaurin Series | |
4/10 F | 11.11 | Applications of Taylor polynomials | |
3 | 4/13 M | 12.1-12.2 | Coordinates, distance formula, simple surfaces |
4/15 W | 12.3 | Dot products and projections I | |
4/17 F | 12.3 | Dot products and projections II | |
4 | 4/20 M | 12.4 | Cross products and geometry, relation to volume and area |
4/22 W | 12.5 | Lines in different forms, planes in vector and standard forms | |
4/24 F | 12.5 | Equations of planes in different forms | |
5 | 4/27 M | 13.1 | Vector functions and space curves |
4/29 W | 13.2-13.3 | Derivatives and integrals along curves, arc length | |
5/1 F | Review for Midterm Exam | ||
6 | 5/4 M | 11,12,13 | Midterm Exam |
5/6 W | 14.1 | Functions of several variables | |
5/8 F | 14.2 | Limits and continuity in dimension two and three | |
7 | 5/11 M | 14.3 | Partial derivatives |
5/13 W | 14.4 | Tangent planes and normal lines | |
5/15 F | 14.5 | Chain rule | |
8 | 5/18 M | 14.6 | Gradient and directional derivatives I |
5/20 W | 14.6 | Gradient and directional derivatives II | |
5/22 F | 14.7 | Extreme values I | |
9 | 5/25 M | No class - Memorial Day | |
5/27 W | 14.7-8 | Extreme values II | |
5/29 F | 14.8 | Lagrange Multipliers I | |
10 | 6/1 M | 14.8 | Lagrange Multipliers II |
6/3 W | Review for Final Exam | ||
6/5 | Final Exam |