Calculus of functions of one and several variables

General Information | Syllabus | HW Assignments | Course Resources |
---|

## 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 |
---|---|---|

Week 1 |
||

Jan. 4 (W) | Chapter 4 | Review of Math 3: Integration Techniques |

X-Hour (Tu/Th) | No class this week | |

Jan. 6 (F) | 11.11 | Taylor polynomials |

Week 2 |
||

Jan. 9 (M) | 11.10-11 | Remainder estimates |

Jan. 11 (W) + x-hour | 11.2 and 11.4 | Infinite series, geometric series, and the comparison test |

Jan. 13 (F) | 11.3 | Integral Test |

Week 3 |
||

Jan. 16 (M) | No class - MLK Day | |

Jan. 18 (W) + x-hour | 11.5 and 11.6 | Root and ratio tests, radius of convergence, and alternating series |

Jan. 20 (F) | 11.8 | Power series |

Week 4 |
||

Jan. 23 (M) | 11.9 | Functions as power series |

Jan. 25 (W) + x-hour | 11.10 and 11.11 | Taylor series and exam review |

Jan. 26 (Th) |
Chapter 11 |
Exam 1: 5-7pm in Silsby 028 |

Jan. 27 (F) | 12.1 | Intro to $R^n$ |

Week 5 |
||

Jan. 30 (M) | 12.2 | Coordinates in $R^n$ as a vector space; distance formula; simple surfaces |

Feb. 1 (W) + x-hour | 12.3 and 12.6 | Dot products, projections and surfaces |

Feb. 3 (F) | 12.3 | More dot products and projections |

Week 6 |
||

Feb. 6 (M) | 12.4 | Cross products and geometry; relation to volume/area |

Feb. 8 (W) + x-hour | 12.5 | Lines in different forms; planes in vector and standard forms |

Feb. 10 (F) | 13.1-13.2 | Vector functions and vector calculus |

Week 7 |
||

Feb. 13 (M) | 13.3 | Derivatives and integrals along curves, arc length |

Feb. 15 (W) + x-hour | 14.1-14.2 | Limits and continuity in 2- and 3-D and exam review |

Feb. 16 (Th) |
Chapters 12 and 13 |
Exam 2: 5-7pm in Silsby 028 |

Feb. 17 (F) | 14.3 | Partial derivatives |

Week 8 |
||

Feb. 20 (M) | 14.4 | Tangent planes and normal lines |

Feb. 22 (W) + x-hour | 14.5 and 14.2 | Chain rule, limits, and continuity |

Feb 24 (F) | 14.6 | Gradients and directional derivatives, I |

Week 9 |
||

Feb. 27 (M) | 14.6 | Gradients and directional derivatives, II |

Mar. 1 (W) + x-hour | 14.7 | Extreme values |

Mar. 3 (F) | 14.8 | Lagrange multipliers, I |

Week 10 |
||

Mar. 6 (M) | 14.8 | Lagrange multipliers, II |

Mar. 8 (W) | Wrap up | |

Mar. 11 (Sat.) |
Final Exam |

Dartmouth Math Department

Last updated December 11, 2016 10:33:19 EST