Wk | Date | Sections | Topics |
1 | 1/24 | 12.1 | Equations, distances |
2 | 1/29 | 12.1, 12.2 | Vectors and the geometry of space |
1/31 | 12.3, 12.4 | Scalar and vector products | |
3 | 2/05 | 12.5, 12.6 | Lines, planes and quadric surfaces |
2/07 | 13.1, 13.2 | Space curves, calculus for vector functions | |
4 | 2/12 | 13.3, 13.4 | Arc length, curvature and applications |
2/14 | 14.1, 14.2 | Functions of several variables, limits and continuity | |
5 | 2/19 | 14.3 | Partial derivatives |
2/21 | 14.4 | Tangent planes and linear approximations | |
6 | 2/26 | 14.5 | The Chain Rule |
2/28 | 14.6, 14.7 | The gradient vector, extrema | |
7 | 3/04 | Midterm 1 | |
3/06 | 14.8 | Lagrange multipliers | |
8 | Spring Break | ||
9 | 3/18 | 15.1 | Optimization, integrals over rectangles |
3/20 | 15.2 | Double integrals over general regions | |
10 | 3/25 | 15.3, 15.4 | Double integrals in polar coordinates, center of mass |
3/27 | 15.6 | Triple integrals | |
11 | 4/01 | 15.7, 15.8 | Triple integrals in cylindrical and spherical coordinates |
4/03 | 15.9 | Changes of variables | |
12 | 4/08 | 16.1, 16.2 | Vector fields and line integrals |
4/10 | Midterm 2 | ||
13 | 4/15 | 16.3 | The Fundamental Theorem for line integrals |
4/17 | 16.4 | Green's Theorem | |
14 | 4/22 | 16.5 | Curl and divergence |
4/24 | 16.6, 16.7 | Surface integrals | |
15 | 4/29 | 16.8 | Stokes' Theorem |
5/01 | 16.9 | The Divergence Theorem | |
🎓 | 5/13 | Final examination |