## Math 53, Fall 2012

**Professor:** Dr. Sean Fitzpatrick

**Lectures:** MWF 12:00-1:00p, 155 Dwinelle

**Syllabus:** PDF

**Sections:** 105, 106

**GSI:** Bryan Gillespie

**Email:** bgillespie@berkeley.edu

**Office:** 714 Evans

**Office Hours:** Monday, 3:00-4:00p and Thursday, 1:00-2:00p

### Worksheets

A primary component of the section will be group work on problems related to the course material. Here I will post the worksheets we look at in class, along with selected solutions and solution sketches.

**#:** |
**Date:** |
**Topics:** |
**Worksheet:** |
**Select Solutions:** |

1 |
Aug. 29 |
Parametric Equations |
PDF |
PDF |

2 |
Sep. 5 |
Polar Coordinates |
PDF |
PDF |

3 |
Sep. 12 |
Vectors and Vector Products |
PDF |
PDF |

4 |
Sep. 17 |
Vector Geometry and Vector Functions |
PDF |
PDF |

5 |
Sep. 26 |
Limits and Derivatives in Multiple Dimensions |
PDF |
PDF |

6 |
Oct. 3 |
Tangent Planes and Gradient Vectors |
PDF |
PDF |

7 |
Oct. 10 |
Gradients and Optimization |
PDF |
PDF |

8 |
Oct. 17 |
Double Integrals |
PDF |
PDF |

9 |
Oct. 24 |
Double and Triple Integrals |
PDF |
PDF |

10 |
Oct. 31 |
Change of Variables |
PDF |
PDF |

11 |
Nov. 7 |
Line Integrals |
PDF |
PDF |

12 |
Nov. 19 |
Green's Theorem, Divergence and Curl |
PDF |
PDF |

13 |
Nov. 28 |
Parametric Surfaces and Surface Integrals |
PDF |
PDF |

### Homework Assigments

Homework assignments are available on the course bSpace page, and are due every Friday. Assignments can be handed in during regular section meetings, or no later than 5:00p in my math department mailbox in the mail room on Evans Hall, 9th floor. Late assignments will be accepted until Monday at 5:00p at a modest score reduction.

Common feedback on graded assignments will be notated in short-hand.