** Course information and learning outcomes: **

Calculus is a beautiful subject dating back to Newton, Leibniz, and Gauss. A student who completes Math 141 will master concepts and gain skills related to functions and graphs, limits, derivatives, and integrals, and applications related to all of the above. The successful student will also refine his/her abilities in problem solving, abstract reasoning, and mathematical writing. Finally, although this will not be an emphasis of the course, the student will gain introductory exposure to theorems, proofs, and the rigorous side of mathematics.

**Calculus is difficult**, but we have every confidence in your ability to succeed.
You **must** spend subsantial effort outside of class in order to learn the subject well.
**We are here to help you**. Please come to office hours as often as you wish; no appointment is necessary. I will also hang around
before and after class to answer questions. You may also e-mail me at thornef [at] mailbox.sc.edu, to
set up an appointment or to ask questions over e-mail. I will try to respond within 24 hours.

** Homework assignments: **

Homework 1, due August 26, 2011.

Homework 2, due September 2, 2011.

Homework 3, due September 9, 2011.

Homework 4, due September 16, 2011.

Homework 5, due September 23, 2011.

Homework 6, due September 30, 2011.

Homework 7, due October 7, 2011.

Homework 8, due October 14, 2011.

Homework 9, due October 19, 2011 (Wednesday!).

Homework 10, due October 28, 2011.

Homework 11, due November 4, 2011.

Homework 12, due November 11, 2011.

Homework 13, due November 18, 2011.

Homework 14, due December 2, 2011.

Bonus Homework,
due December 9, 2011 **for extra credit** (optional!).

The bonus homework is good for extra credit equivalent to two homeworks. It is extremely long and lets you review virtually everything you have learned in the course. If you do part of it, you will get partial extra credit.

**Doing this assignment
thoroughly, without looking at your book or notes except when you really need to,
will be the best thing you can do to prepare for the final exam.**

As with all things in life, subject to minor changes. No changes will be made within a week before any exam.

Lectures |
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Dates |
Sections |
Topics |
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Aug | 19 | F | 1.1 | Introduction |

22 | M | 1.2-3 | Cast of Characters I: Trigonometric and composite functions | |

24 | W | 1.4-5 | Cast of Characters II: Exponential and logarithmic functions | |

26 | F | 2.1 | The tangent and velocity problems | |

29 | M | 2.2-2.3 | Introduction to limits | |

31 | W | 2.4-2.5 | The Limits Game (defend against any enemy!) | |

Sept | 2 | F | 2.6 | Limits at infinity |

7 | W | 2.7 | Introduction to the derivative | |

9 | F | 2.8 | The derivative as a function | |

12 | M | Review | ||

14 | W | Exam 1 |
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16 | F | 3.1 | Computing Derivatives I | |

19 | M | 3.2 | Computing Derivatives II | |

21 | W | 3.3 | Derivatives of trigonometric functions | |

23 | F | 3.4 | The Chain Rule | |

26 | M | 3.5 | Implicit differentiation | |

28 | W | 3.6 | Derivatives of logarithmic functions | |

30 | F | Differentiation rules: review and practice | ||

Oct | 3 | M | 3.9 | Related rates |

5 | W | 4.1 | Maxima and minima | |

7 | F | 4.2 | The mean value theorem (and what not to tell a traffic judge) | |

10 | M | Review | ||

12 | W | Exam 2 |
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14 | F | 4.3 | Derivatives and the shape of a graph | |

17 | M | 4.4 | Indeterminate forms and l'Hopital's rule | |

19 | W | 4.5 | Calculus and curve sketching | |

24 | M | 4.5 | Curve sketching (cont.) | |

26 | W | 4.7 | Optimization Problems | |

28 | F | Optimization Problems II (the dog who mastered calculus) | ||

30 | M | 4.9 | Antiderivatives | |

Nov | 2 | W | 5.1 | Areas and distances |

4 | F | 5.2 | The definite integral | |

7 | M | 5.3 | The Fundamental Theorem of Calculus | |

9 | W | 5.4 | Indefinite integrals and the net change theorem | |

11 | F | 5.5 | Integration by substitution | |

14 | M | Integration by substitution | ||

16 | W | Substitution (cont'd) | ||

18 | F | Exam 3 |
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21 | M | Area between curves | ||

28 | M | 6.2 | Volumes: Disks and washers | |

30 | W | Volumes (cont'd) | ||

Dec | 2 | F | Review | |

(TBA) | (TBA) | Final Exam |
Date, time, and room TBA. |