The following tables lists the proposed schedule for the class. All chapter sections refer to Calculus, 7th edition, by James Stewart. (If you have an older edition of the book, the chapter numbers could be different!)
Week | Date | Chapter | Topic | Notes (from Andrew's section) |
---|---|---|---|---|
1 | 1/4 | Introduction | ||
1/6 | Ch. 12 | Vectors and the geometry of space | Class 1, 2 | |
2 | 1/9 | Ch 13, 14 | Vector functions, partial derivatives | Class 3 |
1/11 | 14, 15.1 | Directional derivatives, gradients, tangent planes, introduction to integration | Class 4 | |
1/13 | 15.2 | Iterated integrals, Fubini's Theorem | Class 5 | |
3 | 1/16 | Martin Luther King, Jr. Holiday | ||
1/18 | 15.3 | Integration over non-rectangular regions | Class 6 | |
1/20 | 15.4 | Integration in polar coordinates | Class 7 | |
4 | 1/23 | 15.4, 15.5, 15.6 | Integration in polar coordinates, applications of multiple integrals, surface area | Class 8, Class 9 |
1/25 | 15.7 | Triple integration | Class 9 | |
1/26 | (Tentative) Midterm 1 | |||
1/27 | 15.7, 15.8 | Triple integration, triple integration in cylindrical coordinates | Class 10 | |
5 | 1/30 | 15.9 | Spherical coordinates | Class 11 |
2/1 | 15.10 | Change of variables, the Jacobian | Class 12 | |
2/3 | 16.2 | Line integrals of scalar functions | Class 13 | |
6 | 2/6 | 16.1, 16.2 | Vector fields, line integrals of vector fields | Class 14 |
2/8 | 16.3 | The Fundamental Theorem of Calculus for line integrals | Class 15 | |
2/10 | Winter Carnival | |||
7 | 2/13 | 16.3 | The Fundamental Theorem of Calculus for line integrals, continued | |
2/15 | 16.4 | Green's Theorem | Class 16 | |
2/16 | (Tentative) Midterm 2 | |||
2/17 | 16.5 | Divergence and curl | Class 17 | |
8 | 2/20 | 16.6 | Parameterizing surfaces | Class 18 |
2/22 | 16.7 | Surface integrals of scalar functions | ||
2/24 | 16.6, 16.7 | Tangent planes, introduction to flux | Class 19 | |
9 | 2/27 | 16.7 | Surface integrals of vector fields | Class 20 |
2/29 | 16.7 | Surface integrals of vector fields, continued | ||
3/2 | 16.9 | The Divergence Theorem | Class 21, Class 22 | |
10 | 3/5 | 16.8 | Stokes' Theorem | Class 23 |
3/7 | Review |