**Instructors:** Kameron McCombs, Jack Petok

**Course on canvas.dartmouth.edu.**⇗

## Syllabus

Day | Lectures | Sections in Text | Brief Description |
---|---|---|---|

1 | 27 Mar (M) | V2, 1.1-1.5 | Review of Math 3: Riemann sums and the Fundamental Theorem of Calculus. Substituion |

2 | 29 Mar (W) | V2, 2.4, 3.1 | Arc length. Integration by parts. Trig substitution |

3 | 31 Apr (F) | V2 2.2, 2.3 | Volume by slicing, volume of solid of revolution. |

4 | 3 Apr (M) | V2, 5.1-5.2 | Infinite sequences. Infinite series. |

5 | 5 Apr (W) | V2, 5.3-5.6 | Divergence and convergence. Divergence test, p-series, comparison test, alternating series test, ratio test. |

6 | 7 Apr (F) | V2, 6.1, 6.2 | Power series (incl. differentiation and integration) |

7 | 10 Apr (M) | V2, 6.3 | Taylor and Maclaurin series, I |

8 | 12 Apr (W) | V2, 6.4 | Taylor and Maclaurin series, II |

9 | 14 Apr (F) | V2,, 6.3 | Taylor polynomials; remainder estimates |

10 | 17 Apr (M) | Review | |

11 | 19 Apr (W) | V3, 2.1, 2.2 | Coordinates in R^n as a vector space; distance formula; simple surfaces |

19 Apr (W) | Midterm 1 (4:00 pm - 6:00 pm) |
||

12 | 21 Apr (F) | V3, 2.3 | Dot products and projections, I |

13 | 24 Apr (M) | V3, 2.3 | Dot products and projections, II |

14 | 26 Apr (W) | V3, 2.4 | Cross products and geometry; relation to volume/area |

15 | 28 Apr (F) | V3, 2.5 | Lines in R^3: parametric and symmetric equations |

16 | 1 May (M) | V3, 2.5 | Planes in R^3: vector and scalar equations |

17 | 3 May (W) | V2, 3.1-3.3 | Derivatives and integrals along curves, arc length |

18 | 5 May (F) | V3, 4.1-4.2 | Limits and continuity in 2- and 3-D |

19 | 8 May (M) | Review | |

20 | 10 May (W) | V2, 4.3 | Partial derivatives |

10 May (W) | Midterm 2 (4:00 pm - 6:00 pm) |
||

21 | 12 May (F) | V3, 4.4 | Tangent planes and normal lines |

22 | 15 May (M) | V3, 4.5 | Chain rule |

23 | 17 May (W) | V3, 4.6 | Gradients and directional derivatives, I |

24 | 19 May (F) | V3, 4.6 | Gradients and directional derivatives, II |

25 | 22 May (M) | V3, 4.7 | Extreme values, I |

26 | 24 May (W) | V3 4.7-4.8 | Extreme values, II; Lagrange multipliers, I |

27 | 26 May (F) | V3, 4.8 | Lagrange multipliers, II |

28 | 31 May (W) | Wrap up | |

2 Jun (F) | Final Exam (8:00 am - 11:00 am) |