**Text **: * Multivariable Calculus, Revised Edition * by James F. Hurley (Saunders Custom Publishing, 1999) ISBN 0-03-074889-5. (Original printing is also usable.)

** Prerequisite:** Math 111, 114, 116, or 121

** Limitation: ** Not open to students with credit for Math 210.

Section | Topic | Homework |

1.1--1.3 | Vectors/lines in 3-space | p. 15: 2a, 3a, 5befgh, 9a, 14, 15, 20ab, 21 |

p. 26: 3, 5, 11, 13, 15-18 | ||

p. 34: 1, 7, 9, 11, 13, 14 | ||

1.4-1.5, 1.8 | Planes/cross product | p. 39: 1, 3, 4, 5, 9, 13, 15, 16 |

p. 47: 1, 2, 4, 5, 7, 9, 20; p. 75: 1, 3 | ||

2.1 | Vector functions | p. 90: 1, 5, 9, 23, 25, 26, 27 |

2.2 | Velocity/arc length | p. 99: 1, 3, 5, 6, 9, 11, 13, 17, 18 |

2.3. | Curvature/unit tangent, normal | p.110: 1, 5, 7, 9, 10, 14, 15; Extra credit: 17 |

3.2 | Limits/continuity | p. 126: 1, 3, 11, 16, 18, 21 |

3.3 | Graphing | p. 137: 1, 7, 11, 13, 16, 19, 23, 25, 27, 31, 33, 34 |

3.4 | Quadric surfaces | p. 145: 3, 5, 7, 9, 11, 13, 15, 17 |

4.1 | Partial derivatives | p. 153: 1, 3, 5, 9, 13, 17, 21, 27 |

4.3 | Differentiable functions | p. 171: 2, 5, 6, 9, 13, 15, 19, 27 |

Exam 1 | ||

4.4 | Directional derivatives | p. 178: 3, 7, 9, 11, 13, 15 |

4.5 | Chain rule | p. 187: 1, 3, 9, 11, 15, 17, 21, 25, 27 |

4.6 | Implicit functions | p. 193: 1, 5, 7 (plot), 15, 17, 19, 21 |

4.7 | Higher derivatives | p. 201: 5, 7 (1st & 2nd partials only), 13, 16, 19 |

4.9 | Extreme values | p. 218: 1, 5, 11, 13, 16, 19, 20, 23, n (see News) |

4.10 | Lagrange multipliers | p. 228: 1, 7, 13, 17, 21 |

5.1 | Double integrals | p. 239: 2, 3, 5, 13, 22, 23 |

5.2 | Iterated integrals | p. 245: 3, 9, 13, 17 |

5.3 | General regions | p. 254: 1, 3, 9, 11, 15, 21, 25, 27, 31, 33 |

5.5 | Polar integrals | p. 270: 3, 5, 9, 13, 15, 17, 23 |

5.6 | Triple integrals | p. 277: 1, 5, 9, 13, 17, 20, 29 |

5.7 | Cylindrical coordinates | p. 286: 1d, 3d, 5c, 7d, 9, 13, 17, 21 |

5.8 | Spherical coordinates | p. 295: 9, 11, 15, 21, 28, 29 |

7.1 | Line integrals | p. 411: 1, 5, 7, 11, 15, 17, 24, 25 |

Exam 2 | ||

7.2 | Green's theorem | p. 424: 3, 5, 7, 21, 26, 27, 28 |

7.4 | Path independence | p. 448: 1, 7, 11 |