Fall 1998

The following is a *tentative*
syllabus for the course. This page will be updated
irregularly. On the other hand, the weekly
syllabus and assignment sheet will always be accurate.

**(last modified 17 November 1998)**

Date of Lecture | Sections in Text | Brief Description |
---|---|---|

9/25 | 11.1,11.2 | Three Dimensional Coordinates; Vectors |

9/28 | 11.3 | The Dot Product |

9/30 | 11.4 | The Cross Product |

10/2 | 11.5 | Equations of Lines and Planes |

10/5 | 11.7, 11.8 | Vector Functions and Space Curves; Arc Length and Curvature (up to normal and binormal vectors) |

10/7 | 11.8, 11.9 | Arc Length (cont.); Motions in Space (up to Kepler's Laws) |

10/9 | 12.1, 12.2 | Functions of Several Variables; Limits and Continuity |

10/12 | 12.3 | Partial Derivatives |

10/14 | 12.4 | Tangent Planes and Differentials |

10/16 | 12.5 | The Chain Rule |

10/19 | 12.6 | Directional Derivatives and the Gradient Vector |

10/21 | 12.7 | Maximum and Minimum Values |

10/23 | 13.1 | Double Integrals over Rectangles |

10/25 | Review for First Hour Exam | |

10/26 | 13.2 | Iterated Integrals |

10/26 | First Hour Exam | |

10/27 (x-hour) | 13.3 | Double Integrals over General Regions |

10/28 | 13.4 | Double Integrals in Polar Coordinates |

11/2 | 13.7 | Triple Integrals |

11/4 | 11.10, 13.8 | Cylindrical and Spherical Coordinates; Triple Integrals in Cylindrical and Spherical Coordinates |

11/6 | 14.1 | Vector Fields |

11/9 | 14.2 | Line Integrals |

11/11 | 14.2, 14.3 | Line Integrals; The Fundamental Theorem for Line Integrals |

11/13 | 14.3 | The Fundamental Theorem for Line Integrals |

11/16 | 14.4 | Green's Theorem |

11/16 | Review for Second Hour Exam | |

11/17 | Second Hour Exam | |

11/18 | 14.5 | Curl and Divergence |

11/20 | 14.6 | Parametric Surfaces and their Areas |

11/23 | 14.7 | Surface Integrals |

11/25 | No class - Thanksgiving Break | |

11/30 | 14.9 | The Divergence Theorem |

12/2 | Questions, Odds and Ends, etc. |