Section | Notes | Supplemental Exercises (from textbook) | Supplemental Solutions |
---|---|---|---|

10.1 | Three Dimensional Coordinate Systems | 3, 4, 7, 10, 11, 13, 15, 19, 23, 26, 29, 30, 32, 34, 35, 37 | Solutions |

10.2 | Vectors | 2, 9, 12, 14, 15, 17, 21, 22, 24, 27, 28, 30, 31, 32, 37, 38 | Solutions |

10.3 | Dot Product | 3, 7, 9, 14, 15, 17, 19, 22, 23, 25, 28, 29, 31, 33, 37, 43, 44 | Solutions |

10.4 | Cross Product | 1, 9-11, 13, 14, 17, 19, 22, 27, 31, 33, 35, 38, 39, 41, 43, 45 | Solutions |

10.5 | EQ's of Lines and Planes | 1, 1-7 odd, 10, 15, 17, 21-35 odd, 39, 41, 47-51 odd | Solutions |

10.6 | Cylinders and Quadric Surfaces | 4, 6, 8, 9, 11, 15, 19, 25, 27, 31, 32 | Solutions |

10.7 | Vector Functions and Space Curves | 3, 4, 8, 9, 12, 17-22, 28, 29, 42-45, 47, 51, 54, 57-65 odd | Solutions |

11.1 | Functions of Several Variables | 5, 7, 9, 13, 15, 22, 23, 24, 28-30 | Solutions |

11.2 | Limits and Continuity | 3-15 odd, 19-31 odd | Solutions |

Exam 1 | Practice Exam (short version) Exam 1 | Sections 10.1-11.2 (i.e. all sections listed above) | Solutions Solutions |

11.3 | Partial Derivatives | 3, 7, 9, 13, 17-19, 23, 26, 29, 41, 42, 45, 59, 60, 63, 66, 67, 69, 75 | Solutions |

Extra Credit | Due 10/10/2017 | Differentiable everywhere with discontinuous derivative | Solution |

11.4 | Tangent Planes and Linear Approximations | 3-6, 11, 17, 19, 20, 25, 27, 29, 30, 33, 34 | Solutions |

11.5 | The Chain Rule | 1-9 odd, 13, 16, 17-31 odd, 36, 37, 39 | Solutions |

11.6 | Directional Derivatives and The Gradient | 1, 3, 5, 8, 12, 14, 16, 18-21, 26, 27, 29, 32, 36, 39, 42 | Solutions |

11.7 | Maximums and Minimums | 3, 7, 11, 13, 23, 25, 31, 35, 37, 41, 44 | Solutions |

12.1 | Double Integrals over Rectangules | 15, 19, 21, 25, 29, 32, 33, 39, 43 | Solutions |

12.2 | Double Integrals over General Regions | 5, 7, 9, 14, 18, 20, 25-31 odd, 39, 41-43, 47, 50 | Solutions |

12.3 | Double Integrals in Polar Coordinates | 1-5, 10-12, 14, 15, 17, 19, 23, 25, 27, 28, 29 | Solutions |

Exam 2 | Practice Exam 2 (short version) | Sections 11.3-11.7, 12.1-12.3 | Solutions |

12.4 | Applications of Double Integrals | 2, 3, 5, 8, 13, 15, 16 | Solutions |

13.6 | Parametric Surfaces (Surface Area) | 33, 35, 36, 38, 39, 40 | Solutions |

12.5 | Triple Integrals | 7, 9, 11, 12, 14, 16, 27, 28, 38, 39, 47, 49 | Solutions |

12.6 | Triple Integrals in Cylindrical Coordinates | 3-6, 12, 15, 21-24, 29 | Solutions |

12.7 | Triple Integrals in Spherical Coordinates | 5, 6, 9, 19, 20, 21, 22, 24, 26, 28, 37 | Solutions |

8.1 | Sequences | 10, 11, 12, 13, 20, 24, 26, 27 | Solutions |

8.2 | Series | 8, 9, 11, 16, 21, 24, 35, 37 | Solutions |

8.3 | The Integral and Comparison Tests | 8, 9, 10, 22, 24, 25, 26 | Solutions |

8.4 | Other Convergence Tests | 3, 7, 8, 19, 27, 29, 33, 35, 36 | Solutions |