## Math 53 - Multivariable Calculus -- [4 units]

**Course Format:**

Three hours of lecture and three hours of discussion per week.

**Prerequisites: **1A-1B or equivalent

**Description: **Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes. (F,SP)

**Textbook: **Stewart, **Multiple Variable Calculus**. A specially priced UC Berkeley paperback edition is available.

Outline of the Course: | |

Chapter 10: Parametric Equations and Polar Coordinates (skip 10.5 and 10.6) | 4 hours |

Chapter 12: Vectors and the Geometry of Space | 4 hours |

Chapter 13: Vector Functions | 1 hours |

Chapter 14: Partial Derivatives | 8 hours |

Chapter 15: Multiple Integrals | 9 hours |

Chapter 16: Vector Calculus | 11 hours |

Examples of Partial Differential Equations | 1 hours |

Total |
38 hours |

Midterms & Holidays | 4 hours |

Reviews are appropriate during the RRR week; be sure to reserve the room. The total number of class hours may vary during the Fall and Spring semesters |
42 hours |

**Documents:**