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 |
---|---|---|

3/28 | 15.1 | Introduction to integration, iterated integrals |

3/30 | 15.1. 15.2 | Fubini's Theorem, integration over non-rectangular regions |

4/1 | 15.4 (11.3) | Integration in polar coordinates |

4/4 | 15.4, 15.5 | Integration in polar coordinates, applications of double integrals (no probability or expected values) |

4/6 | 12.7, 15.3, 15.4 | Triple integration, cylindrical coordinates |

4/8 | 15.4, 15.5 | Spherical coordinates |

4/11 | M8 review (Chapter 12) | Review from m8: Vectors, dot product, cross product, determinants, planes |

4/13 | 15.6 | Change of variables, the Jacobian |

4/15 | 15.6 | Change of variables, the Jacobian (continued) |

4/18 | M8 review (Chapter 13) | Projections, vector functions |

4/20 | Review for the midterm | |

4/21 | Exam 1, 4--6pm, 104 Wilder | |

4/22 | M8 review (Chapter 14) | Partial and directional derivatives, gradients, tangent planes |

4/25 | 16.2 | Line integrals of scalar functions |

4/27 | 16.1, 16.2 | Vector fields, line integrals of vector fields |

4/29 | 16.3 | The Fundamental Theorem of Calculus for line integrals |

5/2 | 16.3, 17.1 | The Fundamental Theorem of Calculus for line integrals (continued), Green's Theorem |

5/4 | 17.1 | Green's Theorem (continued) |

5/6 | 16.1 | Curl and Divergence |

5/9 | 16.1 | Curl and Divergence (concluded), Parametrizing surfaces, tangent planes |

5/11 | 16.4 | Parametrizing surfaces, tangent planes (concluded), Review for the midterm |

5/12 | Exam 2, 4--6pm, 104 Wilder | |

5/13 | 16.4 | Surface area |

5/16 | 16.4 | Surface integrals of scalar functions |

5/18 | 16.5 | Surface integrals of vector fields |

5/20 | 17.3 | The Divergence Theorem |

5/23 | 17.3, 17.2 | The Divergence Theorem (continued), Stokes' Theorem |

5/25 | 17.2 | Stokes' Theorem, continued |

5/27 | Wrap up |

T. R. Shemanske

Last updated May 07, 2016 14:07:41 EDT