2008 May 29 / E-Mail Me

We largely follow the textbook (Stewart, *Calculus: Early Transcendentals*, 6th edition), but we mix the content of the applications sections (3.7, 3.8, 3.9, 4.7, 8.4, 8.5, etc.) into the rest.

- Questions in
**bold**should be handed in. Do not hand in the other questions, but still do them; that is the*minimum*amount of work that I recommend, to*pass*this course. - Questions marked * benefit from a calculator or computer; do the others by hand, if you can.
- Questions marked ^ have typographical errors. In 2.5 #42, change "2 < x < 3" to "2 <= x < 3".

Day | Topic | Reading | Problems | Hand-In Day |
---|---|---|---|---|

01 M 3/31 | functions | 1.1 | 1.1 #01, 10, 16, 20, 24, 26, 28, 36, 42, 46, 48, 52, 54, 64 | 03 |

tangent lines, velocities | 2.1 | 2.1 #01, 04, 06, 8 | 03 | |

02 W 4/2 | sigma notation, areas | 5.1 | 5.1 #01*, 04, 14*, 16*, 20, 22 | 06 |

03 F 4/4 | common functions | 1.2 | 1.2 #1, 04, 08, 10, 16, 20, 26* | 06 |

exponential functions | 1.5 | 1.5 #16b, 22* | 06 | |

04 M 4/7 | inverse functions, logarithms | 1.6 (omit Inverse Trig) | 1.6 #13, 14, 18, 22, 26, 30, 36, 50, 585.1 # 18 | 06 |

operations on functions | 1.3 | 1.3 #03, 04, 10, 12, 28, 34, 44, 54, 56, 661.5 #08, 12, 14, 181.6 # 46 | 06 | |

05 W 4/9 | limits | 2.2 | 2.2 #06, 10, 12, 16, 24*, 28*, 36*, 40 | 09 |

06 F 4/11 | limit laws | 2.3 | 2.3 #01, 07, 10, 22, 28, 36, 52, 58, 62 | 09 |

07 M 4/14 | continuity | 2.5 | 2.5 #06, 10, 22, 40, 42^, 44, 48, 64c, 65 | 09 |

derivatives | 2.7 | 2.7 #07, 12, 14, 20, 30, 32, 38, 42ab*, 46, 48, 50, 51, 52 | 09 | |

08 W 4/16 | derivative as function | 2.8 | 2.8 #05, 09, 12, 20, 32a, 34*, 44, 48a, 56 | 12 |

derivatives in practice | 3.7 (omit Ex. 6) | 3.7 #05, 12a, 16ab | 12 | |

09 F 4/18 | basic differentiation rules | 3.1 | 3.1 #03, 07, 12, 15, 24, 30, 36, 42*, 50*, 54, 64, 72, 76a | 12 |

product rule | 3.2 | 3.2 #02, 05, 11, 18, 26, 33, 46, 48a, 50a, 54, 56 | 12 | |

10 M 4/21 | exponential growth, decay, cooling | 3.8 | 3.8 #04, 07, 163.4: # 86* | 12 |

11 W 4/23 | trigonometry | Appendix D, 3.3 | 3.3 #02, 10, 15, 20, 24, 28a, 34, 35, 38*, 41, 44, 48, 505.1 # 26 | 14 |

12 F 4/25 | chain rule | 3.4 | 3.4 #08, 13, 20, 48, 61, 66, 76, 82*, 84 | 14 |

13 M 4/28 | related rates | 3.9 | 3.9 #02, 13, 25, 32, 34, 40 | 17 |

14 W 4/30 | catch-up, review | |||

15 F 5/2 | EXAM 1 (DAYS 01-12) | |||

-- M 5/5 | midterm break | |||

16 W 5/7 | implicit differentiation | 3.5 (omit Inverse Trig) | 3.5 #03, 22, 36 | 20 |

inverse functions | 3.6 | 3.6 #05, 12, 19, 24, 26, 30, 33, 48, 50, 54 | 20 | |

17 F 5/9 | optimization | 4.1 | 4.1 #08, 13, 28, 35, 40, 48, 62, 73 | 20 |

18 M 5/12 | mean value theorem | 4.2 | 4.2 #04, 07, 22, 30, 34, 36 | 20 |

horizontal asymptotes | 2.6 | 2.6 #07, 14, 17, 22, 38ac*, 48, 58 | 20 | |

19 W 5/14 | monotonicity, concavity | 4.3 | 4.3 #06, 16, 22, 27, 30ac, 31, 62, 64 | 23 |

curve sketching | 4.5 | 4.5 #37, 40, 54, 56 | 23 | |

20 F 5/16 | optimization in practice | 4.7 | 4.7 #08, 11, 37, 42, 58, 72 | 23 |

21 M 5/19 | Newton's method | 4.8 | 4.8 #04, 07*, 15*, 30*, 33, 42* | 23 |

22 W 5/21 | antiderivatives | 4.9 | 4.9 #03, 10, 14, 23, 32, 44, 48, 49, 52, 62, 69, 72 | 24 |

substitution | 5.5 (stop at Def. Integrals) | 5.5 #03, 06, 10, 12, 24, 30, 46 | 24 | |

23 F 5/23 | integrals | 5.2 | 5.2 #04*, 08*, 12*, 17, 22, 29, 36, 44, 54, 70 | 26 |

24 M 5/26 | catch-up, review | |||

25 W 5/28 | EXAM 2 (DAYS 13-22) | |||

26 F 5/30 | fundamental theorem | 5.3 | 5.3 #02, 05, 14, 22, 32, 36, 40, 43, 58, 60, 64, 655.5 #54, 76, 78 | 28 |

27 M 6/2 | integral as net change | 5.4 | 5.4 #31, 38, 48, 50, 53, 58, 59, 64 | never |

areas between curves | 6.1 | 6.1 #02, 30, 32, 42*, 44, 50 | never | |

28 W 6/4 | volumes by washers | 6.2 | 6.2 #02, 06, 16, 34, 44, 46*, 60 | never ever |

-- M 6/9 | FINAL EXAM (7:00-9:30 PM) |