| 1 |
9/8–9/10 |
10.1 |
Three-dimensional Coordinate Systems |
| 10.2 |
Vectors (TR only) |
| 2 |
9/14–9/17 |
10.2 |
Vectors |
| 10.3 |
The Dot Product |
| 10.4 |
The Cross Product |
| 3 |
9/21–9/24 |
10.5 |
Equations of Lines and Planes |
| 10.6 |
Cylinders and Quadric Surfaces |
| 4 |
9/28–10/1 |
10.7 |
Vector functions and space curves |
| 10.8 |
Arc length and Curvature |
| 10.9 |
Motion in Space: Velocity and Acceleration |
| 5 |
10/5–10/8 |
11.1 |
Functions of Several Variables |
| 11.2 |
Limits and Continuity |
| 11.3 |
Partial Derivatives |
| 6 |
10/12–10/15 |
11.4 |
Tangent Planes and Linear Approximation |
| Midterm |
| 7 |
10/19–10/22 |
11.5 |
The Chain Rule |
| 11.6 |
Directional Derivatives and the Gradient
Vector |
| 8 |
10/26–10/29 |
11.7 |
Maximum and Minimum Values |
| 11.8 |
Lagrange Multipliers |
| 9 |
11/2–11/5 |
12.1 |
Double Integrals over Rectangles |
| 12.2 |
Double Integrals over General Regions |
| 12.3 |
Double Integrals in Polar Coordinates |
| 10 |
11/9–11/12 |
12.5 |
Triple Integrals |
| 12.6 |
Triple Integrals in Cylindrical Coordinates |
| 12.7 |
Triple Integrals in Spherical Coordinates |
| 11 |
11/16–11/19 |
13.1 |
Vector Fields |
| 13.2 |
Line Integrals |
| 13.3 |
The Fundamental Theorem of Line Integrals |
| 12 |
11/23–11/25 |
13.4 |
Green's Theorem |
| 13.5 |
Curl and Divergence |
| 13 |
11/30–12/3 |
13.6 |
Parametric Surfaces and their Areas |
| 13.7 |
Surface Integrals |
| 14 |
12/7–12/10 |
13.8 |
Stokes's Theorem |
| 13.9 |
The Divergence Theorem |
| 15 |
12/14–12/15 |
Review |