| Week | Date | Topics | Links |
|---|---|---|---|
| 1 | 9/8/2021 |
10.1: Coordinates 10.2: Vectors |
Slides Lecture Recording |
| 2 | 9/13/2021 |
10.3: Dot product 10.3: Orthogonal projection |
Slides Lecture Recording |
| 9/15/2021 |
10.4: Cross product |
Slides Lecture Recording |
|
| 3 | 9/20/2021 |
10.4: Volume of a parallelopiped 10.5: Equations of lines and planes |
Slides Lecture Recording |
| 9/22/2021 |
10.6: Cylinders and quadric surfaces |
Slides Lecture Recording |
|
| 4 | 9/27/2021 |
10.7: Parameterized curves 10.9: Velocity, speed, acceleration 10.8: Arclength |
Slides (revised 9/29) Lecture Recording |
| 9/29/2021 |
11.1: Functions of several variables 11.2: Continuity 11.3: Partial derivatives |
Slides Lecture Recording |
|
| 5 | 10/4/2021 |
11.2: Limits 11.3: Partial derivatives 11.4: Linear approximations, Tangent planes |
Slides Lecture Recording |
| 10/6/2021 |
11.4: Differentials 11.5: Chain rule |
Slides Lecture Recording |
|
| 6 | 10/12/2021 (Tuesday!) |
11.6: Directional derivatives and the gradient vector 11.7: Maximum and minimum values |
Slides Lecture Recording |
| 10/13/2021 | 11.7: Maximum and minimum values |
Slides Lecture Recording |
|
| 7 | 10/18/2021 | 11.8: Lagrange multipliers |
Slides Lecture Recording |
| 10/20/2021 |
12.1-12.2: Double integrals 12.5: Triple integrals |
Slides Lecture Recording |
|
| 8 | 10/25/2021 | Midterm 1: 10.1-11.8 | |
| 10/27/2021 |
12.1-12.2: Double integrals 12.5: Triple integrals 12.3: Polar coordinates |
||
| 9 | 11/1/2021 |
12.3: Polar coordinates 12.6: Cylindrical coordinates 12.7: Spherical coordinates |
|
| 11/3/2021 |
13.1: Vector fields 13.2: Line integrals |
||
| 10 | 11/8/2021 |
13.2: Line integrals 13.3: Fundamental theorem of line integrals |
|
| 11/10/2021 |
13.3: Fundamental theorem of line integrals 13.4: Green's theorem |
||
| 11 | 11/15/2021 |
13.4: Green's theorem |
|
| 11/17/2021 |
13.6: Parametric surfaces 13.7: Flux integrals |
||
| 12 | 11/22/2021 | Midterm 2: 12.1-13.3 | |
| 11/24/2021 |
13.7: Flux integrals |
||
| 13 | 11/29/2021 |
13.5 Curl 13.8 Stokes' Theorem |
|
| 12/1/2021 | 13.8 Stokes' Theorem | ||
| 14 | 12/6/2021 |
13.5: Divergence 13.9: Divergence Theorem |
|
| 12/8/2021 |
13.4: Green's theorem 13.8: Stokes' Theorem 13.9: Divergence Theorem |
||
| 15 | 12/13/2021 | Review for final | |
| TBA | Final exam: Everything |