Calculus in one and several variables

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.

Week | Date | Chapter | Topics |
---|---|---|---|

0 |
Jan 4 | p.194-5 | Taylor Polynomials |

1 |
Jan 7 | Handout | Remainder estimates |

Jan 9 | 11.2 | Infinite Series, geometric series | |

Jan 11 | 11.8 | Power Series, ratio test and radius of convergence | |

2 |
Jan 14 | 11.9 | Functions as power series |

Jan 16 | 11.10 | Taylor and Maclaurin Series | |

Jan 18 | TBD | Applications | |

3 |
Jan 21 | MLK day, No class | |

Jan 23 | 12.1-12.2 | Coordinates, distance formula, simple surfaces | |

Jan 25 | 12.3 | Dot products and projections I | |

4 |
Jan 28 | 12.3 | Dot products and projections II |

Jan 29 |
Midterm I 4:30 pm-6:30 pm |
||

Jan 30 | 12.4 | Cross products and geometry, relation to volume and area | |

Feb 1 | 12.5 | Lines in different forms, planes in vector and standard forms | |

5 |
Feb 4 | 12.5 | Equations of planes in different forms |

Feb 6 | 13.1 | Vector functions and space curves | |

Feb 8 | 13.2-13.3 | Derivatives and integrals along curves, arc length | |

6 |
Feb 11 | 14.1 | Functions of several variables |

Feb 13 | 14.2 | Limits and continuity in dimension two and three | |

Feb 15 | 14.3 | Partial derivatives | |

7 |
Feb 18 | 14.4 | Tangent planes and normal lines |

Feb 19 |
Midterm II 4:30pm-6:30pm |
||

Feb 20 | 14.5 | Chain rule | |

Feb 22 | 14.6 | Gradient and directional derivatives I | |

8 |
Feb 25 | 14.6 | Gradient and directional derivatives II |

Feb 27 | 14.7 | Extreme values I | |

Mar 1 | 14.7-14.8 | Extreme values II | |

9 |
Mar 4 | 14.8 | Lagrange Multipliers I |

Mar 6 | 14.8 | Lagrange Multipliers II | |

Mar 10 |
Final Exam 3-6 pm |