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 12, but your class might have Exam 1 in Lecture 11. The lecture below shows arc length and surface area in lecture 14 (before Sequences), but your lecturer might cover it in lecture 22 (after Taylor Polynomials and Series).

For each topic covered, the list of official textbook homework problems is shown below. You may use either the 3rd edition or 4th edition of Calculus (Early Transcendentals) by Rogawski, et al. Exercise numbers are listed below for both editions. In some cases, the 3rd and 4th edition offer problems that are similar but not identical; those problems are marked with a dagger symbol (†). All students can see the electronic 4th edition through Sapling, even if they already own the 3rd edition. You should do all the textbook exercises (for your edition of the textbook) for each topic listed below, and you should be able to do any problems like these on an exam.

Lecture | Sections | Topics | Textbook Exercises (3rd ed.) | Textbook Exercises (4th ed.) |
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1 | 5.7 and 6.1 | Substitution method and areas between two curves | 5.7: 15, 19,† 22, 23, 25, 27, 28, 31, 33, 35, 41, 42, 47, 50, 53, 54, 57, 58, 67, 68 6.1: 4, 9, 12, 17, 18, 21, 23, 25 |
5.7: 15, 19,† 22, 23, 25, 27, 28, 31, 33, 35, 43, 44, 49, 52, 55, 56, 59, 60, 69, 70 6.1: 4, 9, 12, 17, 18, 21, 23, 25 |

2 | 6.2 | Setting up integrals, volume, density, average value | 6.2: 4, 5, 6, 7, 9, 10, 11, 15, 25,† 26,† 40, 42, 44, 46, 48† | 6.2: 4, 5, 6, 7, 9, 10, 11, 15, 25,† 26,† 40, 42, 44, 46, 50† |

3 | 6.3 | Volumes of revolution | 6.3: 7, 10, 12, 17, 19, 22, 30, 31, 32 | 6.3: 7, 10, 14, 19, 21, 24, 32, 33, 34 |

4 | 6.4 | The method of cylindrical shells | 6.4: 8, 10, 17, 20, 25, 29, 33, 37, 38 | 6.4: 8, 10, 19, 22, 27, 31, 35, 39, 40 |

5 | 7.1 | Integration by parts | 7.1: 6, 10, 14, 22, 23, 26, 37, 50, 55, 56, 58, 60, 63, 76 | 7.1: 6, 10, 14, 22, 23, 26, 39, 52, 57, 58, 62, 64, 67, 82 |

6 | 7.2 | Trigonometric integrals | 7.2: 1, 2, 3, 16, 18, 20, 34, 37, 40, 49, 55, 62, 67, 71, 72, 75 | 7.2: 1, 2, 3, 12, 30, 33, 36, 47, 53, 60, 67, 68, 71 Also: know how to find the antiderivative (indefinite integral) of sec ^{3} x |

7 | 7.3 | Trigonometric substitution | 7.3: 5, 6, 9, 10, 15, 16, 17, 22, 26, 29, 34,† 35, 40, 43 | 7.3: 5, 6, 9, 10, 15, 16, 17, 22, 26, 29, 36,† 37, 42, 45 |

8 | 7.4 | Integrals involving hyperbolic and inverse hyperbolic functions | 7.4: 11, 12, 24, 25, 31, 32, 35 | 7.4: 11, 12, 24, 25, 31, 32, 35 |

9 | 7.5 | The method of partial fractions | 7.5: 4, 8, 12, 14, 17, 20, 33, 34, 41 | 7.5: 4, 8, 12, 14, 17, 20, 33, 34, 41 |

10 | 7.6 | Strategies for integration | 7.6: 12, 13, 19, 20, 23, 28, 29, 32, 35, 38, 40, 43, 48, 54, 57 | 7.6: 12, 13, 21, 22, 25, 30, 31, 34, 37, 40, 42, 45, 50, 56, 59 |

11 | 7.7 | Improper integrals | 7.7: 8, 11, 12, 16, 23, 29, 35, 36, 37, 41, 44, 53, 54, 57, 59, 67, 68, 71, 73 | 7.7: 8, 11, 12, 16, 23, 29, 35, 36, 37, 41, 44, 53, 54, 57, 59, 67, 68, 71, 73 |

12 | Exam 1 | In classroom where lectures are given (Your lecturer will tell you when Exam 1 is for your class; it may or may not be in lecture 12.) |
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13 | 3rd edition: 7.9 4th edition: 7.8 |
Numerical integration | 7.9: 5, 10, 16, 18, 39, 40, 41, 42, 44, 47, 53 | 7.8: 5, 10, 18, 20, 41, 42, 43, 44, 46, 49, 55 |

14 | 3rd edition: 8.1 4th edition: 8.2 |
Arc length and surface area | 8.1: 3, 4, 7, 9, 10, 17, 27, 29, 36, 38,† 40, 42 | 8.2: 3, 4, 7, 9, 10, 19, 29, 31, 38, 42,† 44, 46 |

15 | 10.1 | Sequences | 10.1: 14, 18, 23, 26, 27, 30, 43, 44, 52, 53 | 10.1: 14, 18, 23, 26, 29, 32, 47, 48, 56, 57 |

16 | 10.2 | Summing an infinite series | 10.2: 4, 6, 8, 11, 12, 14, 17, 20, 21, 24, 26, 27, 30, 31, 38, 40 | 10.2: 4, 6, 8, 11, 12, 14, 17, 20, 21, 24, 28, 29, 32, 33, 40, 42 |

17 | 10.3 | Convergence of series with positive terms | 10.3: 4, 5, 9,† 10, 11, 17, 18, 20, 24, 25, 27, 37, 39, 42, 43, 52, 53,† 55, 60, 62, 69 | 10.3: 4, 5, 9,† 10, 11, 15, 16, 18, 22, 23, 25, 35, 37, 40, 41, 50, 51,† 53, 58, 60, 67 |

18 | 10.4 | Absolute and conditional convergence | 10.4: 3, 8, 10,† 13, 21, 22, 23, 24, 28 | 10.4: 3, 8,† 10, 13, 21, 22, 23, 24, 28 |

19 | 10.5 | The ratio and root test. Strategies for choosing tests. | 10.5: 4, 7, 11, 14, 15, 22, 24, 25, 27, 38, 39, 47, 52, 59 | 10.5: 4, 7, 11, 14, 15, 22, 24, 25, 27, 38, 39, 47, 52, 59 |

20 | 10.6 | Power series | 10.6: 9, 10, 14, 16, 19, 25, 26, 30, 31, 38, 39, 45 | 10.6: 9, 10, 14, 16, 19, 25, 26, 30, 31, 38, 39, 49 |

21 | 3rd edition: 8.4 and 10.7 4th edition: 10.7 and 10.8 |
Taylor polynomials and Taylor series | 8.4: 4, 8, 15, 17, 21, 22, 31, 32, 37, 45, 46 10.7: 4, 12, 18, 20, 21, 30, 31, 32, 39, 41, 42, 48, 53, 54 |
10.7: 4, 10, 19, 21, 25, 28, 37, 38, 43, 51, 52 10.8: 4, 12, 18, 20, 21, 32, 33, 34, 41, 43, 44, 50, 55, 56 |

22 | Exam 2 | In classroom where lectures are given (Your lecturer will tell you when Exam 2 is for your class; it may or may not be in lecture 22.) |
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23 | 11.1 | Parametric Equations | 11.1: 8, 10,† 12, 14,† 18, 20, 21, 22 | 11.1: 8, 9,† 12, 14,† 18, 20, 21, 22 |

24 | 11.2 | Parametric arc length and speed | 11.2: 6, 7, 8, 9, 11, 12, 21, 22 | 11.2: 6, 7, 8, 9, 11, 12, 21, 22 |

25 | 11.3 | Polar coordinates | 11.3: 3, 5, 6, 9, 12, 14,† 16, 20, 27, 28 | 11.3: 3, 5, 6, 11, 12,† 14, 18, 22, 29, 30 |

26 | 11.4 | Area and arc length in polar coordinates | 11.4: 7, 8, 9, 10, 13, 16, 25, 27, 30 | 11.4: 7, 8, 9, 10, 13, 16, 27, 29, 32 |

27 | Packet on complex numbers | Complex numbers | All problems in packet | |

28 | Packet on complex numbers | Complex numbers | All problems in packet |