Calculus of one and several variables

Lectures | Sections in Text | Brief Description |
---|---|---|

Day 1: | 6.1 |
Areas between curves; |

Day 2: | 6.2 | Volumes of Revolution |

Day 3: | 8.1 | Integration by parts |

Day 4: | 8.2, 8.3 | Trignometric Integrals and substitution |

Day 5: | 8.3, 8.4 | Partial Fractions |

Day 6: | 8.7 | Numeric Integration |

Day 7: | 8.8 | Improper Integrals |

Day 8: | 12.1, 12.2 | Sequences and Series |

Day 9: | 12.3, 12.4 | Integral and Comparison Tests |

Day 11: | 12.8, 12.9 | Power Series |

Day 12: | 12.9, 12.10 | Taylor Series |

Day 13: | 12.10, 12.12 | Taylor Series |

Day 14: | 13.1, 13.2 | Coordinates and Vectors |

Day 15: | 15.3, 13.4 | Scalar and Vector products |

Day 16: | 13.4, 13.5 | Lines |

Day 17: | 13.5 | Planes |

Day 18: | 14.1 | Curves in space |

Day 19: | 14.2, 14.3 | Arclength, velocity, acceleration |

Day 20: | 15.1 | Functions of several variables |

Day 21: | 15.3 | Partial derivatives |

Day 22: | 15.6 | The Gradient Vector |

Day 23: | 15.4, 15.5 | Chain-rule and directional derivatives |

Day 24: | 15.4, 15.5 | Linear approximation, tangent planes |

Day 25: | 15.7 | Maxima and Minima |

Day 26: | 15.7, 15.8 | Extreme Values |

Day 27: | 15.7, 15.8 | Lagrange Multipliers |

Day 28: | Wrap up and review | |

Day 29: | Review |