| Lecture | Date | Topics | Reading |
|---|
| 1 | Wed.9/6 |
Cartesian and polar coordinates in two dimensions, ellipse equations |
10.3 |
| 2 | Mon.9/11 |
Cartesian coordinates in three dimensions |
12.1 |
| 3 | Wed.9/13 |
Cylindrical and spherical coordinates |
12.7 |
| 4 | Mon.9/18 |
Vectors in two and three dimensions, dot product | 12.2, 12.3 |
| 5 | Wed.9/20 |
Cross product | 12.4 |
| 6 | Mon.9/25 |
Equations of lines and planes in three space | 12.5 |
| 7 | Wed.9/27 |
Distance formulas | 12.5 |
| Mon.10/2 |
Yom Kippur | |
| 8 | Wed.10/4 |
1st Midterm | |
| 9 | Mon.10/9 |
Cylinders and quadratic surfaces | 12.6 |
| 10 | Wed.10/11 |
Space curves | 13.1, 13.2 |
| 11 | Mon.10/16 |
Arc length, curvature, and torsion |
13.3 | |
| 12 | Wed.10/18 |
Velocity and acceleration, Newton and Kepler's laws | 13.4 |
| 13 | Mon.10/23 | Functions of several variables |
14.1 |
| 14 | Wed.10/25 | Limts and continuity |
14.2 |
| 15 | Mon.10/30 | Review | |
| 16 | Wed.11/1 | 2nd Midterm | |
| Mon.11/6 | Academic Holiday | | |
| 17 | Wed.11/8 |
Partial derivatives | 14.3 |
| 18 | Mon.11/13 |
Tangent Planes and Linear Approximations | 14.4 |
| 19 | Wed.11/15 |
Chain rule |
14.5 |
| 20 | Mon.11/20 | Directional derivatives | 14.6 |
| 21 | Wed.11/22 |
Complex numbers | Appendix G |
| 22 | Mon.11/27 | Gradient |
14.6 |
| 23 | Wed.11/29 | Max and Min |
14.7 |
| 24 | Mon.12/4 | Second order behavior near a critical point,
saddle points | 14.7 |
| 25 | Wed.12.6 | Lagrange multiplies | 14.8 |
| 26 | Mon.12/11 | Two constraints | 14.8 |