Wk | Date | Sections | Topics |
1 | 1/27 | 12.1, 12.2 | Vectors and the geometry of space |
2 | 2/01 | 12.3, 12.4 | Scalar (dot) and vector (cross) products |
2/03 | 12.5, 12.6 | Lines, planes and quadric surfaces | |
3 | 2/08 | 13.1, 13.2 | Space curves, calculus for vector functions |
2/10 | 13.3, 13.4 | Arc length, curvature and applications | |
4 | 2/15 | 14.1, 14.2 | Functions of several variables, limits and continuity |
2/17 | 14.3 | Partial derivatives | |
5 | 2/22 | 14.4 | Tangent planes and linear approximations |
2/24 | 14.5 | The Chain Rule | |
6 | 3/01 | 14.6, 14.7 | The gradient vector, extrema |
3/03 | Midterm 1 and a solution | ||
7 | 3/08 | 14.8 | Lagrange multipliers |
3/10 | 15.1 | Double integrals over rectangles | |
8 | 3/15 | 15.2, 15.3 | Double integrals over general regions |
3/17 | Spring Break 3/6 | ||
9 | 3/22 | 15.4, (15.5) | Centers of mass, (surface areas) |
3/24 | 15.6 | Triple integrals | |
10 | 3/29 | 15.7, 15.8 | Triple integrals in cylindrical and spherical coordinates |
3/31 | 15.9 | Change of variables in multiple integrals | |
11 | 4/05 | Midterm 2 and a solution | |
4/07 | Spring Break 5/6 | ||
12 | 4/12 | 16.1, 16.2 | Vector fields and line integrals |
4/14 | 16.3 | The Fundamental Theorem for line integrals | |
13 | 4/19 | 16.4 | Green's Theorem |
4/21 | 16.5 | Curl and divergence | |
14 | 4/26 | Spring Break 6/6 | |
4/28 | 16.6, 16.7 | Surface integrals | |
15 | 5/03 | 16.8 | Stokes' Theorem |
5/05 | 16.9 | The Divergence Theorem | |
🎓 | 5/11 | Final examination |