§12 Vectors and the geometry of space |

Wed Sep 8, 2021 |
§12.1 Three-Dimensional Coordinate Systems |

Fri Sep 10, 2021 |
§12.2 Vectors |

Mon Sep 13, 2021 |
§12.3 The Dot Product |

Wed Sep 15, 2021 |
§12.4 The Cross Product |

Fri Sep 17, 2021 |
§12.5 Lines and Planes in Space |

§13 Vector-Valued Functions and Motion in Space |

Mon Sep 20, 2021 |
§13.1 Curves in Space and Their Tangents |

Wed Sep 22, 2021 |
§13.2 Integrals of Vector Functions; Projectile Motion |

Fri Sep 24, 2021 |
§13.3 Arc Length in Space |

§14 Partial Derivatives |

Mon Sep 27, 2021 |
§14.1 Functions of Several Variables |

Wed Sep 29, 2021 |
§14.2 Limits and Continuity in Higher Dimensions |

Fri Oct 1, 2021 |
§14.3 Partial Derivatives |

Mon Oct 4, 2021 |
§14.4 The Chain Rule |

Wed Oct 6, 2021 |
§14.5 Directional Derivatives and Gradient Vectors |

Fri Oct 8, 2021 |
§14.6 Tangent Planes and Differentials |

Mon Oct 11, 2021 |
Indigenous Peoples' Day |

Wed Oct 13, 2021 |
§14.7 Extreme Values and Saddle Points |

Fri Oct 15, 2021 |
§14.8 Lagrange Multipliers |

§15 Multiple Integrals |

Mon Oct 18, 2021 |
§15.1 Double and Iterated Integrals over Rectangles |

Wed Oct 20, 2021 |
§15.2 Double Integrals over General Regions |

Fri Oct 22, 2021 |
§15.3 Area by Double Integration |

Mon Oct 25, 2021 |
§15.4 Double Integrals in Polar Form |

Wed Oct 27, 2021 |
§15.5 Triple Integrals in Rectangular Coordinates |

Fri Oct 29, 2021 |
§15.7 Triple Integrals in Cylindrical and Spherical Coordinates |

Mon Nov 1, 2021 |
§15.6 Applications |

Wed Nov 3, 2021 |
§15.8 Substitutions in Multiple Integrals |

§16 Integrals and Vector Fields |

Mon Nov 8, 2021 |
§16.1 Line Integrals of Scalar Functions |

Fri Nov 12, 2021 |
§16.2 Vector Fields and Line Integrals |

Wed Nov 15, 2021 |
§16.3 Path Independence, Conservative Fields, and Potential Functions |

Fri Nov 19, 2021 |
§16.4 Green’s Theorem in the Plane |

Mon Nov 29, 2021 |
§16.5 Surfaces and Area |

Wed Dec 1, 2021 |
§16.6 Surface Integrals |

Mon Dec 6, 2021 |
§16.7 Stokes’ Theorem |