| Lecture Number |
Date |
Sections in Text |
Brief Description |
| 1 |
3/30 |
1.1 - 1.6 |
Vectors, Dot and Cross products, lines, planes, matrices |
| 2 |
4/01 |
2.1 - 2.3 |
Functions of several variables, limits, continuity, partial derivatives |
| 3 |
4/03 |
2.4 - 2.5 |
Properties of the derivative and the chain rule (brief higher order partials) |
| 4 |
4/6 |
2.6 |
Chain rule |
| 5 |
4/8 |
3.1 - 3.2 |
Parametrized Curves and Arclength |
| 6 |
4/10 |
3.3 |
Vector Fields |
| 7 |
4/13 |
3.4 |
Gradient, Divergence, Curl and the Del operator |
| 8 |
4/15 |
1.7 |
Polar, cylindrical, and spherical coordinates |
| 9 |
4/17 |
1.7, 5.1 |
Coordinates, Areas and Volumes |
| 10 |
4/20 |
5.2 |
Double Integrals |
| 11 |
4/22 |
5.3 - 5.4 |
Changing the order of integration, Triple Integrals |
| 12 |
4/24 |
5.4 - 5.5 |
Triple Integrals, Change of Variables |
| 13 |
4/27 |
5.5 |
Change of Variables |
|
| |
4/28 |
Midterm |
|
|
| 14 |
4/29 |
5.5 |
Change of Variables |
|
| 15 |
5/1 |
5.6 |
Applications of Integration |
| 16 |
5/4 |
5.6 |
Applications of Integration |
| 17 |
5/6 |
6.1 |
Scalar and Vector line integrals |
| 18 |
5/8 |
6.1 |
Scalar and Vector line integrals |
| 19 |
5/11 |
6.2 |
Green's theorem |
| 20 |
5/13 |
6.3 |
Conservative Vector Fields |
| |
5/14 |
Midterm |
|
|
| 21 |
5/15 |
6.3 |
Computing Line Integrals, Simple Connectedness |
| 22 |
5/18 |
7.1 |
Parametrized Surfaces |
| 23 |
5/20 |
7.1 - 7.2 |
Areas of Surfaces, Surface Integrals |
| 24 |
5/22 |
7.2 |
Surface Integrals |
| |
5/25 |
Memorial Day holiday |
|
|
| 25 |
5/26 |
7.3 |
Stokes's and Gauss's theorems; note x-hour! |
| 26 |
5/27 |
7.3 |
Stokes's and Gauss's theorems |
| 27 |
5/29 |
Review |
Review/catch-up day |
| 28 |
6/01 |
Review |
Review |