| 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] |