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NATURE Letters to Editor from Gibbs and Tait regarding vectors 1893: Tait on Gibbs Vector Analysis , Gibbs' Reply to Tait , Tait , History of Math: Gibbs

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The Million Dollar PDE

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FALL 2010 HOMEWORK

Points and Vectors (which we treat as the same thing mathematically):
13.1: 10,11,16,34,36 13.2: 6,14,22,30,34 Dot/Scalar Products: 13.3: 2,22,24,26,32,38 |
homework 1 solutions |

Cross/Vector Products: 13.4: 10,14,16,22,43 Lines and Planes: 13.5: 4,13,29,38,40,46,48 |
homework 2 solutions |

Other Surfaces: 13.6: 8,18,36,41,44 Vector Functions and Parametric Curves: 14.1: 8,10,16,41,42,43 |
homework 3 solutions |

Derivatives and Integrals of Vector Valued Functions 14.2: 1,4,12,26,30,32,36 Applications of Vector Valued Functions 14.4: 2,12,19,24,30,40 |
homework 4 solutions |

Arc Length (updated 9/23/10): 14.3: 2,14,16 Functions of Several Variables: 15.1:2,12,16,30,32,34,44,54 Continuity in Several Variables: 15.2:2,6,8,18,32,40 |
homework 5 solutions |

Partial Derivatives and Tangent Planes: 15.3: 18,20,22,44,50,62 15.4: 2,5,6,12,16 15.5: 8,12,22,26,44,53 |
homework 6 solutions |

Directional Derivatives: 15.6: 2,8,22,30,32,34,36,42,49 |
homework 7 solutions |

Maxima and Minima of Functions 15.7: 6,8,37,45,32,34 Lagrange multipliers 15.8: 1,2 (use wolfram alpha or some other graphing utility),4,6,16,32 |
homework 8 solutions |

Double Integrals 16.1: 6,12,14 Iterated Integrals 16.2: 8,17,24,27 Double Integrals over General Regions 16.3: 11,14,15,20,28 Double integrals in polar coordinates 16.4: 8,22,25,30,35 |
homework98 solutions |

Applications and review. Only mass, center of mass, centroid 16.5: 2,12 Triple integrals 16.6: 9,14,16,22,25,31 Triple integrals in cylindrical coordinates. 16.7: 15,21,26,28 |
homework 10 solutions |

Triple integrals in spherical coordinates 16.8: 22,25,30,39 Change of Variables 16.9: 8,12,14 |
homework 11 solutions |

17.1: 5,6,7 17.2: 4,8,10,18,20,40,104 17.3: 1,4,16,20,22,26,34 17.4: 2,8,10,12,14,17 17.5: 5,10,12,15,22,25,30,31 |
Homework 12 and 13 solutions |

quiz 1 solutions |

quiz 2 solutions |

quiz 3 solutions |

quiz 4 solutions |

quiz 5 solutions |

quiz 6 solutions |

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