| Date |
Topics |
Section |
Homework |
Due date |
Comments |
|
Week 1 |
| Jan 28 |
Intro |
1.1 |
|
Feb 4 |
| Jan 30 |
Vectors |
1.1 |
1.1:6, 8, 9, 10b, 26, 28 |
Hw1 hints |
| Feb 1 |
Inner product |
1.2 |
1.2:8,13,17,18,26. |
|
Week 2 |
| Feb 4 |
Cross Product |
1.3 |
1.2:19,25. 1.3:3,4,5,6,12 |
Feb 8 (date change) |
Lecture notes |
| Feb 6 |
|
|
1.3:15bc, 26, 27, 32 |
Hw2 hints |
| Feb 8 |
Level sets and graphs |
2.1 |
The above are due Feb 8 |
|
|
Week 3 |
| Feb 11 |
Limits and Continuity |
2.2 |
2.1: 2,4,6,13 |
Feb 15 |
Lecture notes |
| Feb 13 |
|
2.2 |
2.2: 1,3,20,27b |
Hw3 hints |
| Feb 15 |
Partial derivatives |
2.3 |
2.2:8ac, 9ab, 11bc |
|
|
Week 4 |
| Feb 18 |
Matrix of partial derivatives |
2.3 |
2.3: 2,3,5,9 |
Feb 22 |
Lecture notes |
| Feb 20 |
Differentiability |
2.3 |
2.3: 7ac, 12a, 13a, 16 |
Hw4 hints |
| Feb 22 |
Paths |
2.4 |
|
|
|
Week 5 |
| Feb 25 |
Chain rule |
2.5 |
2.4: 2, 4, 13, 19 |
dont turn in |
Lecture notes |
|
Gradients |
2.6 |
2.5:3, 5ab, 10, 13, 20 |
Hw5 hints |
| Feb 29 |
Midterm I |
|
|
|
|
Week 6 |
| March 3 |
Directional derivatives |
2.6 |
p.172: 15, 24b; p.176: 22, 31, 40 |
March 7 |
Lecture notes |
| March 5 |
The Hessian |
3.1 |
3.1: 3, 17, 19, 22, 24* (star means optional) |
Hw 6 hints |
| March 7 |
Quadratic approximation |
3.2 |
|
|
|
Week 7 |
| March 10 |
Maxima and minima |
3.3 |
Homework 7 |
March 14 |
Lecture notes |
| March 12 |
Optimization |
3.3-3.4 |
|
Hw 7 hints |
| March 14 |
Lagrange multipliers |
3.4 |
|
|
|
Week 8 |
| March 17 |
Spring Break |
|
|
|
|
Week 9 |
| March 24 |
Lagrange method: 3D |
3.4 |
Homework 8 |
March 28 |
Lecture notes |
| March 26 |
Integrals |
Chap 5 |
|
Hw 8 hints |
| March 28 |
Integrals |
Chap 5 |
|
|
|
Week 10 |
| March 31 |
Change of variable |
6.1-6.2 |
Homework 9 |
April 2 (Wednesday) |
Lecture notes |
| April 2 |
Exam review |
|
|
Hw 9 hints |
| April 4 |
Midterm II |
|
|
|
|
Week 11 |
| April 7 |
Change of var. in R^3 |
6.2 |
Homework 10 |
April 11 |
Lecture notes |
| April 9 |
Line integrals |
7.2 |
|
|
| April 11 |
Gradient vector fields |
7.2 |
|
|
|
Week 12 |
| April 14 |
Surfaces |
7.3 |
Homework 11 |
April 18 |
Lecture notes |
| April 16 |
Area element |
7.4 |
|
Hw 11 hints |
| April 18 |
|
7.6 |
|
|
|
Week 13 |
| April 21 |
Green's Theorem |
8.1 |
Homework 12 |
April 25 |
Lecture notes |
| April 23 |
Stokes' Theorem |
8.2 |
|
Hw 12 hints |
| April 25 |
Gauss' Theorem |
|
|
|
|
Week 14 |
| April 28 |
Review: Stokes, Gauss |
8.3 |
Hw: prepare questions from practice problems/exams. |
May 2 |
|
| April 30 |
Review Chap. 8 |
8.4 |
(You will find them under the Exams section.) |
|
| May 2 |
Last lecture (I was obviously confused) |
|
|
|