| General Information | Schedule | Homework Assignments | Links | Exams |
| Schedule |
|---|
The following schedule is subject to change throughout the quarter.
| Lecture Number | Date | Readings (unqualified numbers refer to sections in text) |
Brief Description |
|---|---|---|---|
| 1 | 9/23 | 13.1, 13.2, 13.3, 13.4 | Sections 13.1 and 13.2 are to be considered as a review. Please go through them on your own. In class we will focus on projections from Section 13.3 and on determinants, volumes and cross products from 13.4. |
| 2 | 9/25 | 13.4 (cont.), 13.5 | cross product, lines and planes |
| 3 | 9/28 | 13.5(cont), 13.6 (we will just touch lightly) Matrix Add./Sub || Matrix Multiplication |
Quadric Surfaces (briefly), Matrix operations |
| 4 | 9/30 | 14.1, 14.2 | vector-valued functions |
| 5 | 10/2 | 14.3 (through page 867), 14.4 | arclength, motion |
| 6 | 10/5 | 15.1, 15.2, 15.3, 15.4 | Functions of several variables |
| 7 | 10/7 | 15.6 | directional derivative and gradients |
| 8 | 10/9 | 'Derivative as a matrix' posted on here, also Section 15.5 | Derivative as a matrix/Chain rule |
| 9 | 10/12 | Chain rule Section 15.5 and document posted on webwork | Derivative as a matrix/Chain rule (cont.) |
| 10 | 10/14 | 16.1, 16.2 | Double integrals over rectangles |
| 11 | 10/16 | 16.3 | Double integrals over general regions |
| 12 | 10/19 | 11.3 | Polar Coordinates (We will also discuss cylindrical coordinates.) |
| x-hour | 10/20 | Review | Review |
| 13 | 10/21 | 16.4 | Double Integrals over polar coordinates |
| 14 | 10/23 | 16.4 (cont.), 16.5 | Double integrals over polar coordinates. Double integral applications. |
| 15 | 10/26 | 16.6 | Triple integrals |
| 16 | 10/28 | 16.9 | Change of variable theorem. |
| 17 | 10/30 | 16.7, 16.8 | Integration in cylindrical coordinates. Integration in spherical coordinates. |
| 18 | 11/2 | TBA | TBA |
| 19 | 11/4 | 17.1, 17.2 | Vector fields, line integrals |
| 20 | 11/6 | 17.2 (cont.) | Line Integrals |
| 21 | 11/9 | 17.3 | Fundamental Theorem for line integrals. |
| x-hour | 11/10 | Review | Review |
| 22 | 11/11 | 17.4 | Green’s Theorem |
| 23 | 11/13 | 17.5 | Divergence and Curl |
| 24 | 11/16 | 17.6 through Example 9 | Parametrized surfaces and their tangent planes |
| 25 | 11/18 | Finish 17.6, possibly begin 17.7 | Surface area and surface integrals of real-valued function |
| 26 | 11/20 | 17.7 | Surface integrals of Vector fields |
| 27 | 11/23 | 17. 9 Also read page 1103 | Divergence Theorem |
| 28 | 11/30 | 17.8 | Stokes Theorem |
| x-hour | 12/1 | 17.8, 17.9. | more examples from 17.8 and 17.9. |
| 29 | 12/2 | Review | Review |