Topics Covered and Homework Assignments

Course: Mth 227 Calculus III

Text: *Calculus, Early Transcendentals, 6 ^{th} Edition*, by James Stewart

Lecture |
Topic |
Sections for Reference and Homework Problems |

1.1 |
Rectangular Coordinates in 3-Space |
§12.1: Odd 1-35, §12.6: All 1-7 |

1.2 |
Vectors |
§12.2: Odd 1-29 |

1.3 |
Dot Product and Projections |
§12.3: Odd 1-49 |

1.4 |
Cross Product |
§12.4: Odd 1-43 |

1.5 |
Parametric Equations of Lines |
§12.5: Odd 1-19 |

1.6 |
Planes in 3-Space |
§12.5: Odd 1, 23-59, 69, 71 |

1.7 |
Quadric Surfaces |
§12.6: Odd 9-35, 41 |

1.8 |
Cylindrical and Spherical Coordinates |
§15.7: Odd 1-13 |

2.1 |
Vector Valued Functions |
§13.1: 1, 2, Odd 7-13, 19-27, 37-41 |

2.2 |
Calculus of Vector Valued Functions |
§13.1: All 3-6, 43, §13.2: Odd 1-15, 27-39 |

2.3 |
Change of Parameter and Arc Length |
§13.3: Odd 1-19 |

2.4 |
Unit Tangent, Unit Normal, and Unit Binormal |
§13.2: Odd 17-23, § 13.3: 43-59 |

2.5 |
Curvature |
§13.3: Odd 21-41 |

2.6 |
Motion Along a Curve |
§13.4: Odd 1-41 |

3.1 |
Functions of Two or More Variables |
§14.1: Odd 7-63 |

3.2 |
Limits and Continuity |
§14.2: Odd 1-41 |

3.3 |
Partial Derivatives |
§14.3: Odd 5-77 |

3.4 |
Differentiability, Differentials, and Local Linearity |
§14.4: Odd 1-21, 25-37 |

3.5 |
The Chain Rule |
§14.5: 1-33, 49 |

3.6 |
Directional Derivatives and the Gradient |
§14.6: Odd 3-27 |

3.7 |
Tangent Planes and Normal Vectors |
§14.6: Odd 39-44 |

3.8 |
Maxima and Minima of Multivariable Functions |
§14.7: Odd 1-35 |

3.9 |
Lagrange Multipliers |
§14.8:Odd 1-45 |

4.1 |
Double Integrals |
§15.2: Odd 1-31 |

4.2 |
Double Integrals over Nonrectangular Regions |
§15.3: Odd 1-55 |

4.3 |
Double Integrals in Polar Coordinates |
§15.4: Odd 1-35 |

4.4 |
Parametric Surfaces and Surface Area |
§16.6: Odd 1-25 |

4.5 |
Triple Integrals |
§15.6: Odd 1-21, 27-39 |

4.6 |
Center of Gravity |
§15.5: Odd 1-11 |

4.7 |
Triple Integrals in Cylindrical and Spherical Coordinates |
§15.7: Odd 15-29, §15.8: Odd 21-39 |

5.1 |
Vector Fields |
§16.1: Odd 1-35, §16.5: Odd 1-31 |

5.2 |
Line Integrals |
§16.2: Odd 1-25, 29-37 |

5.3 |
Conservative Vector Fields |
§16.3: Odd 1-27 |

5.4 |
Green’s Theorem |
§16.4: Odd 1-19 |

5.5 |
Surface Integrals |
§16.6: Odd 37-47, §16.7: Odd 5-25 |

5.6 |
Stokes’ Theorem |
§16.8: Odd 1-15 |

5.7 |
The Divergence Theorem |
§16.9: Odd 1-19 |

- Last Updated: Oct 25, 2022 9:09 AM
- URL: https://library.jeffersonstate.edu/RobertWallace-Mth227
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