Professor: Dr. Alexander Givental
Lectures: TR 2:00-3:30p, 7 Evans
Course Website: math.berkeley.edu/~giventh/53H13.html
GSI: Bryan Gillespie
Section Meetings: TR 12:30-2:00p, 321 Haviland
Email: bgillespie@berkeley.edu
Office: 714 Evans
Office Hours: Mondays, 11:00a-1:00p
Homework assignments are available on Dr. Givental's course website, and are due on Tuesdays at the beginning of discussion section.
A short quiz will be administered on Tuesdays at the end of discussion section.
A primary component of section meetings will be group work on problems related to the course material. I will post the worksheets we look at in class here as the semester progresses.
| #: | Date: | Topics: | Worksheet: |
| 1 | Jan. 24 | Vectors and Geometry | |
| 2 | Jan. 31 | Dot Products and Cross Products | |
| 3 | Feb. 5 | Equations of Lines and Planes | |
| 4 | Feb. 7 | Quadratic Functions, Curves, Surfaces I | |
| 5 | Feb. 12 | Quadratic Functions, Curves, Surfaces II | |
| 6 | Feb. 14 | Midterm I Review | |
| 7 | Feb. 19 | Vector Functions | |
| 8 | Feb. 21 | Limits and Continuity in Functions of Several Variables | |
| 9 | Feb. 26 | Differentiability, Linear Approximations, and Partial Derivatives | |
| 10 | Feb. 28 | The Chain Rule | |
| 11 | Mar. 5 | More Partial Derivatives and Chain Rule | |
| 12 | Mar. 7 | Gradient Vectors and Directional Derivatives | |
| 13 | Mar. 12 | Maximal and Minimal Values | |
| 14 | Mar. 14 | Lagrange Multipliers | |
| 15 | Mar. 19 | More Lagrange Multipliers | |
| 16 | Mar. 21 | Midterm II Review | |
| 17 | Apr. 2 | Multiple Integrals | |
| 18 | Apr. 4 | Integration in Alternate Coordinate Systems | |
| 19 | Apr. 9 | Multiple Integrals and Applications | |
| 20 | Apr. 11 | Vector Fields and Line Integrals | |
| 21 | Apr. 16 | The Fundamental Theorem for Line Integrals | |
| 22 | Apr. 18 | Green's Theorem | |
| 23 | Apr. 23 | Curl and Divergence | |
| 24 | Apr. 30 | Surfaces and Surface Integrals |