This section meets in

Most information about this course can be found on Oliver Knill's (the course head) website. This has crucial information about homework, exams, etc (including the actual homework!).

Office: Science Center 231

Candy Hours: Monday 4-5pm and Tuesday 3-4pm

More office hours are available from other section heads and CAs and are posted here.

Room: Science Center 222

Time: Wednesday 7:30-8:30pm

NOW THAT THE COURSE IS OVER, THE SOLUTIONS HAVE BEEN REMOVED. CONTACT ME IF YOU WOULD LIKE A COPY OF THEM.

Date | Subject | Handout | Solutions |
---|---|---|---|

9/10 | Mathematica Miley by Oliver Knill | link | N/A |

9/10 | Points, Vectors, and Geometry (Oh my!) | ||

9/15 | Geometry${}^3$ | ||

9/15 | Lines and Planes | N/A | |

9/17 | Quadrics | ||

9/17 | Matching Exercises | ||

9/24 | Brief Notes | N/A | |

9/24 | Other Coordinate Systems | ||

9/24 | Parametric Surfaces | ||

10/1 | Partial Derivatives | ||

10/6 | Linearization and Estimization | ||

10/15 | Directional derivatives | p5 of Worksheet | |

10/20 | Extrema to the Extreme | ||

10/22 | Lagrane Multipliers | ||

11/03 | Midterm 2 Review | n/a | |

11/05 | Triple Integrals | ||

11/10 | Force Fields | ||

11/12 | Line Integrals | ||

11/17 | curling up with Green's Theorem |
||

11/19 | Curl, Divergence, and Flux (Oh my!) | ||

11/24 | Stokes' Theorem | ||

12/1 | Divergence Theorem |

These handouts are based on ones generously provided by Janet Chen and Peter Garfield.

The following are some Mathematica notebooks used to illustrate some concepts. If you have problems getting any of them to run or with Mathematica in general, let me know. I've included both the .nb files (the ones that open in Mathematica) and .pdf files, but I recommend looking at the .nb's because they're more interactive.

Date | Subject | Notebook | |
---|---|---|---|

10/8 | Chain Rule and Linearization | .nb | |

10/8 | Tangent Planes | .nb | |

10/15 | Directional Derivatives | .nb | |

10/20 | Extrema | .nb | |

10/22 | Lagrange Multipliers | .nb | |

11/10 | Vector Fields | .nb |

There are a bunch of places that give more information about quadrics, help in visualizing them, etc. Here are some:

- A list of the quadrics with traces
- Another such list
- A Java applet that lets you rotate them
- A bunch of problems in graphing them with solutions, courtesy of Stewart

If you have any questions, please feel free to contact me at wboney@math.harvard.edu.

Back to my homepage.