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 |