Trinity College Dublin

Lecture | Topics covered |
---|---|

1 (16.01) | Parametric equations and vector-valued functions (Section 12.1) |

2 (18.01) | Calculus of vector-valued functions and arc length (Sections 12.2-12.3) |

3 (23.01) | TNB Frames and curvature (Sections 12.4-12.5) |

4 (25.01) | Motion, velocity, acceleration, and physics (Section 12.6) |

5 (30.01) | Multivariable functions, limits, and continuity (Sections 13.1-13.2) |

6 (01.02) | Partial derivatives (Section 13.3) |

7 (06.02) | Tangent planes and linear approximation (Section 13.4) |

8 (08.02) | The Chain Rule (Section 13.5) |

9 (13.02) | Directional derivatives and gradients (Section 13.6) |

10 (15.02) | Tangent planes and normal vectors (Section 13.7) |

11 (20.02) | Maxima and Minima (Section 13.8) |

12 (22.02) | Lagrange Multipliers (Section 13.9) |

13 (06.03) | Double integrals and the volume problem (Section 14.1) |

14 (08.03) | Double integrals over more general regions (Section 14.2) |

15 (13.03) | Double integrals in polar coordinates (Section 14.3) |

16 (15.03) | Surface area (Section 14.4) |

17 (20.03) | Triple integrals (Section 14.5) |

18 (22.03) | Triple integrals in cylindrical and spherical coordinates (Section 14.6) |

19 (27.03) | Changes of variables in multiple integrals (Section 14.7) |

20 (29.03) | Preview of what comes after this class |

Final week | Review days |