Calculus of Vector Valued Functions

General Information | Syllabus | HW Assignments | WeBWorK Access | Course Resources |
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## Syllabus

The following is a**tentative**syllabus for the course. This page will be updated irregularly.

On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures | Sections in Text | Brief Description |
---|---|---|

1/4 | 15.1 | Introduction to integration, iterated integrals |

1/6 | 15.1, 15.2 | Fubini's Theorem, integration over non-rectangular regions |

1/8 | 15.4 | Integration in polar coordinates |

1/11 | 15.4, 15.5 | Integration in polar coordinates, applications of double integrals |

1/13 | 12.7, 15.3, 15.4 | Triple integration, cylindrical coordinates |

1/15 | 15.4, 15.5 | Spherical coordinates, applications |

1/18 | Martin Luther King day (no classes) | |

1/19 or 1/21 (x-hour) | M8 Review (chapter 12) | Vectors, dot product, cross product, determinants, planes |

1/20 | 15.6 | Change of variables, the Jacobian |

1/22 | 15.6 | Change of variables, the Jacobian (continued) |

1/25 | M8 Review (chapter 13) | Projections, vector functions |

1/27 | Review for the midterm | |

1/28 | Exam 1 | |

1/29 | M8 Review (chapter 14) | Partial and directional derivatives, gradients, tangent planes |

2/1 | 16.2 | Line integrals of scalar functions |

2/3 | 16.1, 16.2 | Vector fields basics (curl and divergence later), line integrals of vector fields |

2/5 | 16.3 | The Fundamental Theorem of Calculus for line integrals |

2/8 | 16.3, 17.1 | The Fundamental Theorem of Calculus for line integrals (continued), Green's Theorem |

2/10 | 17.1 | Green's Theorem (continued) |

2/12 | 16.1 | Curl and Divergence |

2/15 | 16.1 | Curl and Divergence (continued), vector form of Green's theorem, Review for the midterm |

2/17 | 16.4 | Parametrizing surfaces, tangent planes |

2/18 | Exam 2 | |

2/19 | 16.4 | Surface area |

2/22 | 16.4 | Surface integrals of scalar functions |

2/24 | 16.5 | Surface integrals of vector fields |

2/26 | 17.3 | The Divergence Theorem |

2/29 | 17.3, 17.2 | The Divergence Theorem (continued), Stokes' Theorem |

3/2 | 17.2 | Stokes' Theorem, continued |

3/4 | Wrap up | |

3/7 | Review |

Tim Dwyer

Last updated January 01, 2016 18:04:42 EST