It looks like you're using Internet Explorer 11 or older. This website works best with modern browsers such as the latest versions of Chrome, Firefox, Safari, and Edge. If you continue with this browser, you may see unexpected results.

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: Jan 26, 2022 12:15 PM
- URL: https://library.jeffersonstate.edu/RobertWallace-Mth227
- Print Page