Wk | Date | Sections | Topics |
1 | 9/01 | 12.1, 12.2 | Vectors and the geometry of space |
2 | 9/06 | 12.3, 12.4 | Scalar (dot) and vector (cross) products |
9/08 | 12.5, 12.6 | Lines, planes and quadric surfaces | |
3 | 9/13 | 13.1, 13.2 | Space curves, calculus for vector functions |
9/15 | 13.3, 13.4 | Arc length, curvature and applications | |
4 | 9/20 | 14.1, 14.2 | Functions of several variables, limits and continuity |
9/22 | 14.3 | Partial derivatives | |
5 | 9/27 | 14.4 | Tangent planes and linear approximations |
9/29 | 14.5 | The Chain Rule | |
6 | 10/04 | 14.6, 14.7 | The gradient vector, extrema |
10/06 | Midterm 1 | ||
7 | 10/11 | 14.8 | Lagrange multipliers |
10/13 | 15.1 | Double integrals over rectangles | |
10/18 | Fall Break | ||
8 | 10/20 | 15.2 | Double integrals over general regions |
9 | 10/25 | 15.3, 15.4 | Double integrals in polar coordinates, centers of mass |
10/27 | 15.6 | Triple integrals | |
10 | 11/01 | 15.7, 15.8 | Triple integrals in cylindrical and spherical coordinates |
11/03 | 15.9 | Change of variables in multiple integrals | |
11 | 11/08 | Review | |
11/10 | Midterm 2 | ||
12 | 11/15 | 16.1, 16.2 | Vector fields and line integrals |
11/17 | 16.3 | The Fundamental Theorem for line integrals | |
13 | 11/22 | 16.4 | Green's Theorem |
11/24 | 16.5 | Thanksgiving Break | |
14 | 11/29 | 16.5 | Curl and divergence |
12/01 | 16.6, 16.7 | Surface integrals | |
15 | 12/06 | 16.8 | Stokes' Theorem |
12/08 | 16.9 | The Divergence Theorem | |
🎓 | TBA | Final examination |