**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.

- Reference on how to transform a non-homogeneous quadratic polynomial in several variables into a homogeneous one via translation, if this is possible.
- Link to a reasonable-looking web study guide for vector calculus.
- Nice online vector field grapher.

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 |