| Lectures |
Sections in the Textbook |
Brief Description |
| Day 1: September 22, Wednesday |
1.1–1.6 |
Brief recollection: Vectors, Dot and Cross Products, Lines and Planes;
Matrix Multiplication and Determinants |
| Day 2: September 24, Friday |
1.7 |
Polar, Cylindrical, and Spherical coordinates (skip Standard Bases) |
| Day 3: September 27, Monday |
2.1, 2.2 |
Brief recollection: Functions of Several Variables |
| Day 4: September 29, Wednesday |
2.3 |
Derivative of Vector-Valued Functions |
| Day 5: October 1, Friday |
2.4, 2.5 |
Higher-Order Partial Derivatives (briefly); the Chain Rule |
| Day 6: October 4, Monday |
2.6 |
Directional Derivatives and the Gradient |
| October 5, Tuesday |
|
Last day to add/drop |
| Day 7: October 6, Wednesday |
3.1 |
Parametrized Curves (skip Kepler's Laws) |
| Day 8: October 8, Friday |
3.2 |
Arclength (skip Curvature) |
| Day 9: October 11, Monday |
3.3 |
Vector Fields |
| Day 10: October 13, Wednesday |
3.4 |
Divergence, Curl, Gradient, and the Del Operator |
| Day 11: October 15, Friday |
5.1 |
Areas and Volumes; Cavalieri's Principle |
| Day 12: October 18, Monday |
5.2 |
Double Integrals |
| Day 13: October 20, Wednesday |
5.2 |
Double Integrals (cont.) |
| October 20, Wednesday |
|
First Midterm 6PM - 8PM |
| Day 14: October 22, Friday |
5.3 |
Changing the Order of Integration |
| Day 15: October 25, Monday |
5.4 |
Triple Integral |
| Day 16: October 27, Wednesday |
5.5 |
Change of Variables |
| Day 17: October 29, Friday |
5.5 |
Change of Variables (cont.) |
| Day 18: November 1, Monday |
5.6 |
Applications of Integration |
| Day 19: November 3, Wednesday |
6.1 |
Scalar and Vector Line Integrals |
| Day 20: November 5, Friday |
6.1 |
Scalar and Vector Line Integrals (cont.) |
| Day 21: November 8, Monday |
6.2 |
Green's Theorem |
| Day 22: November 10, Wednesday |
6.3 |
Conservative Vector Fields |
| November 10, Wednesday |
|
Second Midterm 6PM - 8PM |
| Day 23: November 12, Friday |
7.1 |
Parametrized Surfaces |
| November 12, Friday |
|
Last day to drop |
| Day 24: November 15, Monday |
7.1 |
Area of Surfaces |
| Day 25: November 17, Wednesday |
7.2 |
Surface Integrals |
| Day 26: November 19, Friday |
7.3 |
Stokes's Theorem |
| Day 27: November 22, Monday |
7.3 |
Gauss's Theorem |
| November 24 – November 28 |
|
Thanksgiving recess
|
| Day 28: November 29, Monday |
7.3 |
Stokes's and Gauss's Theorem |
| Day 29: December 1, Wednesday |
— |
Review etc. |