**Spring 2011**

A study guide for Midterm 1 (April 20, 2011).

A study guide for Midterm 2 (May 18, 2011).

A study guide for the Final Exam (June 4, 2011).

**Detailed Syllabus for Section 02**

Title |
Date |
Topics |

Introductory Slide Show | 3/28/2011 | Introductory slide show |

Class 1 Notes | 3/28/2011 | Administrative information, introduction to topics in Math 13 |

Class 2 Notes | 3/30/2011 | Chapter 13: vectors, dot product, cross product, lines and planes |

Class 3 Notes | 4/1/2011 | Chapter 14, 15: vector-valued functions, arc length, partial derivatives |

Class 4 Notes Maple worksheet |
4/4/2011 | Chapter 15, 16.1: directional derivatives, gradients, tangent planes, introduction to integration |

Class 5 Notes | 4/6/2011 | Chapter 16.2: Iterated integrals, Fubini's Theorem |

Class 6 Notes | 4/8/2011 | Chapter 16.3: Integration over non-rectangular regions |

Class 7 Notes | 4/11/2011 | Chapter 16.4: Integration using polar coordinates |

Class 8 Notes, Class 8 Notes(part 2) |
4/13/2011 | Chapter 16.4, 16.5: Integration using polar coordinates, some applications of multiple integrals. |

Class 9 Notes | 4/15/2011 | Chapter 16.6: Triple integration |

Class 10 Notes | 4/18/2011 | Chapter 16.6, 16.7: Triple integration, cylindrical coordinates |

Class 11 Notes | 4/20/2011 | Chapter 16.8: Spherical coordinates |

Class 12 Notes | 4/22/2011 | Chapter 16.9: Change of variables and the Jacobian |

Class 13 Notes | 4/25/2011 | Chapter 17.2: Line integrals of scalar functions |

Class 14 Notes | 4/27/2011 | Chapter 17.1, 17.3: Vector fields, line integrals of vector fields |

Class 15 Notes | 4/29/2011 | Chapter 17.3: Fundamental Theorem of Calculus for line integrals |

Class 16 Notes | 5/02/2011 | Chapter 17.3: Fundamental Theorem of Calculus for line integrals |

Class 17 Notes | 5/04/2011 | Chapter 17.4: Green's Theorem |

Class 18 Notes | 5/06/2011 | Chapter 17.5: The divergence and curl |

Class 19 Notes | 5/09/2011 | Chapter 17.6: Parameterizing surfaces |

Class 20 Notes | 5/11/2011 | Chapter 17.7: Surface integrals of scalar functions |

Class 21 Notes | 5/13/2011 | Chapter 17.6, 17.7: Tangent planes, introduction to flux |

Class 22 Notes | 5/16/2011 | Chapter 17.7: Surfrace integrals of vector fields |

Class 23 Notes | 5/18/2011 | Chapter 17.7: Surface integrals of vector fields, continued |

Class 24 Notes | 5/20/2011 | Chapter 17.9: The Divergence Theorem |

Class 25 Notes | 5/23/2011, 5/25/2011 | Chapter 17.8: Stokes' Theorem |

Last Updated May 26, 2011