## MAT 131: Calculus I, LO1
## Stony Brook Fall 2005 |
---|

If you did not pick up the
*Final Exam Information* handout,
please download it now. It includes my end-of-term office hours.
The locations for the final exam will be posted on
the main website for MAT 131.

If the weighted average of your scores on the early exam and the two midterms
is **below 60**, you are in considerable danger of failing this class.
However, as the final exam and the problem sets are worth half of the total grade,
there is probably still a good chance of your passing the course if you put in
the necessary effort.
**Whatever** your weighted average is,
the final exam will have a huge impact on your grade,
which could be positive or negative.
The pace in the final third of the semester will be higher than in the second,
as we cover the rest of Chapter 4 in addition to Chapter 5.
So, please do not fall behind.

*Name:*
Aleksey Zinger
*E-mail:* azinger@math
*Phone:* 432-8618

*Office:* Math Tower 3-117
*Office Hours:* Mon. 2^{30}-4 and Wed 1^{30}-3

MLC provides one-on-one tutoring in mathematics courses. It is staffed by mathematics students and faculty. All recitation instructors for this course will hold at least some of their office hours at MLC, but please feel free to stop by at any time it is open. For more information, visit MLC's website.

Please read the sections assigned *before* the lecture.

Date |
Topic |
Reading Assignment |

Aug 29 | Functions and Graphs | 1.1-1.3 |

Aug 31 | Exponential and Trigonometric Functions | 1.5, Appendix C |

Sep 2 | Inverse Functions and Logarithms | 1.6 |

Sep 5 | No Class | |

Sep 7 | Tangents and Velocity | 2.1 |

Sep 9 | Limits of Functions | 2.2 |

Sep 12 | Computing Limits | 2.3 |

Sep 14 | Continuous Functions | 2.4 |

Sep 16 | Limits Involving Infinity | 2.5 |

Sep 19 | Rates of Change | 2.6 |

Sep 21 | Derivatives | 2.7 |

Sep 23 | Derivatives as Functions | 2.8 |

Sep 26 | Functions and Their Derivatives | 2.9 |

Sep 28 | Derivatives of Polynomials and Exponentials | 3.1 |

Sep 30 | Product and Quotient Rules | 3.2 |

Oct 3,5 | No Class | |

Oct 7,10 | Review | 1.1-2.9 |

Oct 12 | Derivatives of Trig Functions | 3.4 |

Oct 14 | Chain Rule | 3.5 |

Oct 17 | Derivatives of Inverse Functions | 3.5,3.6 |

Oct 19 | Implicit Differentiation | 3.6,3.7 |

Oct 21 | Logarithmic Differentiation | 3.7 |

Oct 24 | Linear Approximations | 3.8 |

Oct 26 | Differentials | 3.8 |

Oct 28 | Related Rates of Change | 4.1 |

Oct 31 | Maximum and Minimum Values | 4.2 |

Nov 2 | Maximum and Minimum Values (cont'd) | 4.2 |

Nov 2,4,7 | Review | 1.1-4.1 |

Nov 9 | Using Derivatives to Sketch Graphs | 4.3 |

Nov 11 | Using Derivatives to Sketch Graphs | 4.3 |

Nov 14 | Optimization Problems | 4.6 |

Nov 16 | L'Hospital's Rule | 4.5 |

Nov 18 | Newton's Method | 4.8 |

Nov 21 | Anti-Derivatives | 4.9 |

Nov 23 | Areas and Distances | 5.1 |

Nov 25 | No Class | |

Nov 28 | Definition of Definite Integrals | 5.2 |

Nov 30 | Computing Definite Integrals | 5.3 |

Dec 2 | Fundamental Theorems of Calculus | 5.4 |

Dec 5 | Substitution Rule | 5.5 |

Dec 7,9,12 | Review | 1.1-5.5 |

This page is maintained by Aleksey Zinger.