The following tables lists the proposed schedule for the class. All chapter sections
refer to *Calculus*, 7th edition, by James Stewart. (If you have an older
edition of the book, the chapter numbers could be different!)

Week | Date | Chapter | Topic | Notes (from Andrew's section) |
---|---|---|---|---|

1 | 1/4 | Introduction | ||

1/6 | Ch. 12 | Vectors and the geometry of space | Class 1, 2 | |

2 | 1/9 | Ch 13, 14 | Vector functions, partial derivatives | Class 3 |

1/11 | 14, 15.1 | Directional derivatives, gradients, tangent planes, introduction to integration | Class 4 | |

1/13 | 15.2 | Iterated integrals, Fubini's Theorem | Class 5 | |

3 | 1/16 | Martin Luther King, Jr. Holiday | ||

1/18 | 15.3 | Integration over non-rectangular regions | Class 6 | |

1/20 | 15.4 | Integration in polar coordinates | Class 7 | |

4 | 1/23 | 15.4, 15.5, 15.6 | Integration in polar coordinates, applications of multiple integrals, surface area | Class 8, Class 9 |

1/25 | 15.7 | Triple integration | Class 9 | |

1/26 | (Tentative) Midterm 1 | |||

1/27 | 15.7, 15.8 | Triple integration, triple integration in cylindrical coordinates | Class 10 | |

5 | 1/30 | 15.9 | Spherical coordinates | Class 11 |

2/1 | 15.10 | Change of variables, the Jacobian | Class 12 | |

2/3 | 16.2 | Line integrals of scalar functions | Class 13 | |

6 | 2/6 | 16.1, 16.2 | Vector fields, line integrals of vector fields | Class 14 |

2/8 | 16.3 | The Fundamental Theorem of Calculus for line integrals | Class 15 | |

2/10 | Winter Carnival | |||

7 | 2/13 | 16.3 | The Fundamental Theorem of Calculus for line integrals, continued | |

2/15 | 16.4 | Green's Theorem | Class 16 | |

2/16 | (Tentative) Midterm 2 | |||

2/17 | 16.5 | Divergence and curl | Class 17 | |

8 | 2/20 | 16.6 | Parameterizing surfaces | Class 18 |

2/22 | 16.7 | Surface integrals of scalar functions | ||

2/24 | 16.6, 16.7 | Tangent planes, introduction to flux | Class 19 | |

9 | 2/27 | 16.7 | Surface integrals of vector fields | Class 20 |

2/29 | 16.7 | Surface integrals of vector fields, continued | ||

3/2 | 16.9 | The Divergence Theorem | Class 21, Class 22 | |

10 | 3/5 | 16.8 | Stokes' Theorem | Class 23 |

3/7 | Review |