This is a sample syllabus. The schedule and topics covered for your section are likely to be different.

Meeting | Topics | Reading |
---|---|---|

1 | Double integrals over rectangles | 15.1, 15.2 |

2 | Double integrals over general regions | 15.3 |

3 | Polar coordinates, applications of double integrals | 15.4, 15.5 |

4 | More applications, triple integrals | 15.5, 15.6 |

5 | Cylindrical coordinates, spherical coordinates | 15.7, 15.8 |

6 | Spherical coordinates, change of variables | 15.8, 15.9 |

7 | Change of variables | 15.9 |

8 | Review | |

9 | 1st Midterm | |

10 | Vector fields | 16.1 |

11 | Line integrals | 16.2 |

12 | Fundamental theorem for line integrals | 16.3 |

13 | Green’s theorem | 16.4 |

14 | Curl and divergence | 16.5 |

15 | Parametric surfaces, surface area | 16.6 |

16 | Surface integrals | 16.7 |

17 | Stokes’ Theorem | 16.8 |

18 | Divergence Theorem | 16.9 |

19 | Review | |

20 | 2nd Midterm | |

21 & 22 | Complex functions | |

23 & 24 | Cauchy-Riemann equations | |

25 – 27 | Contour integrals and Cauchy’s Theorem | |

28 | Review |