clemens@math.ubc.ca

Office hours during exam period: see announcements below.

- Whitman (Chapters 13 and 16)
- Strang (Chapters 12 and 15)
- Math Learning Center

- The MLC will destroy all remaining homework/quiz returns on April 11.
- Final exam learning expectations.
- Practice finals are at the bottom of the homework page.
- Solutions for the second midterm (corrected; again).
- Solutions for the first midterm.

Date | Topics | Notes |
---|---|---|

Jan 4 | Introduction | |

Jan 6 | Parametrized curves: examples | 0106.pdf |

Jan 9 | Derivative of vector-valued functions; arc length | 0109.pdf |

Jan 11 | arc length; reparametrization by arc length | 0111.pdf |

Jan 13 | curvature | 0113.pdf |

Jan 16 | More on curvature; motion | 0116.pdf |

Jan 18 | acceleration; quiz | 0118.pdf |

Jan 20 | Kepler's 1st and 2nd law | 0120.pdf |

Jan 23 | Vector fields | 0123.pdf |

Jan 25 | Line integrals (functions) | 0125.pdf |

Jan 27 | More on line integrals | 0127.pdf |

Jan 30 | Line integrals (vector fields) | 0130.pdf |

Feb 1 | Fundamental thoerem for conservative fields | 0201.pdf |

Feb 3 | Criteria for conservative vector fields | 0203.pdf |

Feb 6 | More about vector fields with non simply connected domain | 0206.pdf |

Feb 15 | More on finding potentials; Green's theorem | 0215.pdf |

Feb 17 | Green's theorem; computing areas | 0217.pdf |

Feb 27 | More on Green's theorem | |

Mar 1 | Curl and divergence | 0301.pdf |

Mar 3 | Parametrization of surfaces | 0303.pdf |

Mar 6 | Tangent plane; surface area | 0306.pdf |

Mar 8 | Examples of surface area computations | 0308.pdf |

Mar 10 | Surface integrals of functions | 0310.pdf |

Mar 13 | Orientation of surfaces; flux integral | 0313.pdf |

Mar 17 | examples of flux integrals | 0317.pdf |

Mar 20 | Stoke's Theorem and induced orientations | 0320.pdf |

Mar 22 | Stoke's Theorem examples and applications | 0322.pdf |

Mar 24 | Examples | 0324.pdf |

Mar 27 | Divergence theorem | 0327.pdf |

Mar 29 | Divergence theorem with cavities; outlook | 0329.pdf |

Mar 31 | Review | Summary and strategies, Surface integrals, Problem with Stoke's Theorem, Some paramatrizations, Problem with Divergence Theorem |

Apr 3 | Review | |

Apr 5 | Review |