Module | Topic | PowerPoint [.PDF] | Lecture [.MP4] |
---|---|---|---|

1 | domain/range intro | Slides | Video [8:49] |

2 | function basics | Slides | Video [4:54] |

3 | function evaluation | Slides | Video [10:19] |

4 | vertical line test | Slides | Video [3:24] |

5 | difference quotient | Slides | Video [15:21] |

6 | domain, range from a graph | Slides | Video [10:16] |

7 | more domain | Slides | Video [13:16] |

8 | domain practice | see above | Video [12:48] |

9 | composition of function | Slides | Video [19:39] |

10 | linear functions | Slides | Video [24:56] |

11 | inverse functions | Slides | Video [18:46] |

12 | transformations | Slides | Video [15:33] |

13 | linear applications | Slides | Video [11:49] |

14 | quadratic function | Slides | Video [21:17] |

15 | polynomial function | Slides | Video [7:29] |

16 | exponential function | Slides | Video [25:45] |

17 | logarithmic function | Slides | Video [30:43] |

18 | introduction to limits | Slides | Video [25:46] |

19 | limits - continued | Slides | Video [14:34] |

20 | continuity | Slides | Video [7:14] |

21 | rate of change | Slides | Video [21:00] |

22 | meaning of the derivative | Slides | Video [11:40] |

23 | definition of the derivative | Slides | Video [27:11] |

24 | Power Rule and e^x derivative | Slides | Video [26:42] |

25 | Product Rule | Slides | Video [22:00] |

26 | Quotient Rule | Slides | Video [28:22] |

27 | Chain Rule | Slides | Video [23:53] |

28 | other exponential derivatives | Slides | Video [1:33] |

29a | logarithmic derivatives - part I | Slides | Video [13:27] |

29b | logarithmic derivatives - part II | Slides | Video [16:10] |

30 | extrema | Slides | Video [25:24] |

31 | optimization - part I | Slides | Video [21:38] |

31a | optimization - part II | see above | Video [10:40] |

32 | antiderivatives | Slides | Video [13:21] |

32a | indefinite integrals | Slides | Video [6:31] |

33 | area under standard shapes | Slides | Video [13:03] |

34 | area under the curve - part I | Slides | Video [12:03] |

34a | area under the curve - part II | Slides | Video [14:55] |

35 | definite integral | Slides | Video [21:35] |

36 | Fundamental Theorem of Calculus | Slides | Video [25:57] |

37 | area between the curves | Slides | Video [21:32] |

37a | area between the curves - application | Slides | Video [5:25] |

38 | average change | Slides | Video [22:27] |

38a | marginal cost | Slides | Video [14:20] |

39 | integration by substitution - part I | Slides | Video [14:22] |

39a | integration by substitution - part II | see above | Video [19:23] |

40 | integration by parts (IBP) | Slides | Video [16:21] |

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