The following is an ** approximate** schedule of lectures. Each lecturer decides the schedule for his or her class, and the actual schedule of your class may vary. For example, the schedule below shows Exam 1 in Lecture 8, but your class might have Exam 1 in Lecture 7 or 9. The schedule below shows the rates of change being covered in lecture 13, but your lecturer might cover this topic in lecture 10. See your lecturer for the actual order of topics and dates of exam in your class.

For each topic covered, the list of official textbook homework problems is shown below. You should do all the textbook exercises for each topic listed below, and you should be able to do any problems like these on an exam.

Lecture | Sections | Topics | Textbook Exercises (4th ed.) |
---|---|---|---|

1 | 1.1, 1.2, 1.3, 1.4 | Review of function basics; trigonometric functions | 1.1: 1, 2, 5, 26, 27, 29, 32, 36, 39, 41, 55, 59, 63, 64, 66, 72, 73, 78, 79, 82, 851.2: 3, 24, 26, 37, 39, 43, 46, 491.3: 12, 26, 37, 38, 41, 421.4: 6, 8, 11, 13, 17, 18, 19, 21, 26, 31, 32, 33, 46, 48 |

2 | 1.5, 1.6, 1.7, 2.1 | Inverse functions; exponential and logarithmic functions; introduction to limits | 1.5: 2, 3, 4, 5, 11, 12, 15, 18, 19, 22, 23, 24, 25, 26, 33, 46, 48, 49, 521.6: 8, 16, 21, 25, 26, 37, 38, 391.7: 5, 18, 202.1: 4, 5, 6, 23, 24, 31 |

3 | 2.1 (con't), 2.2, 2.3 |
Limits and limit laws; discussion of error and tolerance | 2.2: 1, 3, 9, 13, 15, 19, 21, 23, 25, 31, 33, 47, 50, 622.3: 2, 4, 7, 10, 12, 15, 18, 20, 21, 23, 25, 30, 31, 32 |

4 | 2.4, 2.8 | Limits and continuity; Intermediate Value Theorem (IVT); (also see video lecture on IVT) |
2.4: 4, 6, 7, 10, 11, 17, 19, 25, 30, 53, 57, 58, 59, 60, 61, 65, 67, 75, 77, 78, 82, 832.8: 1, 2, 3, 4, 5, 7, 11, 12, 13, 14, 15, 16, 18, 19, 20, 23 |

5 | 2.5, 2.6 | Indeterminate forms; the Squeeze Theorem and Trigonometric Limits; (also see video lecture on the Squeeze Theorem) |
2.5: 2, 3, 5, 8, 9, 10, 12, 15, 17, 18, 21, 24, 32, 46, 49, 51, 562.6: 1, 4, 5, 7, 9, 12, 13, 15, 17, 21, 22, 23, 24, 27, 28, 30, 33, 34, 40, 47, 54 |

6 | 2.7, 3.1 | Limits and Infinity; definition of the derivative | 2.7: 1, 7, 8, 9, 10, 11, 12, 17, 18, 19, 21, 28, 29, 39, 39, 41, 433.1: 1, 2, 5, 17, 18, 19, 20, 21, 27, 32, 38, 66, 68 |

7 | Review | ||

8 | EXAM 1 |
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9 | 3.2, 3.3 | Derivative as a function; product and quotient rules | 3.2: 1, 2, 3, 4, 5, 6, 8, 10, 16, 18, 20, 22, 26, 27, 30, 32, 40, 54, 56, 58, 68, 803.3: 4, 5, 7, 8, 9, 10, 11, 12, 18, 28, 29, 33, 35, 37, 44, 46, 48 |

10 | 3.5, 3.6 | Higher derivatives and derivatives of trigonometric functions | 3.5: 4, 6, 8, 10, 12, 14, 16, 18, 22, 25, 26, 28, 29, 32, 36, 38, 46, 493.6: 2, 4, 10, 14, 18, 20, 24, 28, 30, 32, 35, 36, 37, 38, 40, 42, 54 |

11 | 3.7 | The chain rule | 3.7: 5, 6, 15, 19, 30, 34, 43, 47, 48, 56, 61, 67, 73, 75, 77 |

12 | 3.8, 3.9 | Implicit differentiation, derivatives of general exponential and logarithmic functions; logarithmic differentiation (also see video lecture on logarithmic differentiation) |
3.8: 12, 16, 22, 28, 30, 32, 38, 42, 50, 54, 623.9: 8, 12, 16, 18, 24, 34, 40, 48, 54, 58, 66, 68, 72 |

13 | 3.4, 3.10 | Rates of change; related rates | 3.4: 2, 6, 8, 10, 22, 28, 32, 38, 443.10: 6, 8, 12, 14, 16, 18, 26 |

14 | 4.5 | L’Hopital’s rule (also see video lecture on exponential indeterminate forms) |
4.5: 2, 6, 10, 14, 16, 18, 22, 26, 28, 32, 36, 44, 50 |

15 | 4.1 | Linear approximation | 4.1: 6, 8, 10, 12, 18, 24, 28, 32, 46 |

16 | 4.2, 4.3 | Mean Value Theorem and Rolle’s Theorem | 4.3: 4, 12, 14, 16, 24, 26, 30, 36, 40, 44, 52, 564.2 (Rolle's Theorem): 70 |

17 | 4.2 (con’t), 4.4 | Extreme values; second derivative and concavity | 4.2: 6, 10, 16, 20, 22, 24, 26, 30, 38, 42, 52, 664.4: 6, 10, 12, 16, 22, 34, 38, 48, 50, 54, 60 |

18 | 4.6 | Shape of a graph | 4.6: 12, 14, 18, 24, 32, 36, 38, 56, 62, 68 |

19 | 4.7 | Applied Optimization | 4.7: 4, 6, 8, 10, 14, 16, 18, 24, 26, 28, 30 |

20 | EXAM 2 |
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21 | 5.1, 5.2 | Approximating and computing area, the definite integral | 5.1: 4, 6, 10, 18, 20, 22, 24, 32, 40, 46, 545.2: 2, 7, 8, 12, 16, 28, 38, 46, 60, 64 |

22 | 5.3, 5.8 | Indefinite integrals | 5.3: 16, 22, 25, 30, 33, 36, 40, 52, 56, 60, 645.8: 12, 18, 20, 22, 24, 30, 44, 46, 58, 62, 68, 74 |

23 | 5.4, 5.5 | The Fundamental Theorem of Calculus (Parts I and II) | 5.4: 10, 16, 24, 29, 32, 40, 48, 52, 56, 605.5: 16, 18, 28, 40 |

24 | 5.7 | u-substitution |
5.7: 8, 11, 12, 14, 16, 19, 20, 28, 33, 34, 43, 44, 60, 69, 75, 78 |

25 | 5.6 | Net change, and the integral of a rate of change; review | 5.6: 4, 6, 10, 16, 23 |

26 | EXAM 3 |
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27 | 6.1 | Area between curves, and review | 6.1: 4, 10, 12, 24, 35, 44 |

28 | Review | ||

FINAL EXAM (during final exam period, at the date and time set by the University exam schedule) |