## Tentative Outline for Math 1131 – Spring 2017

Week | Date | Section | Topic | Worksheets |
---|---|---|---|---|

1 | 1/16 | MLK day | ||

Administrative Information | ||||

2.1 | The Tangent and Velocity Problems | 2.1 Worksheet | ||

2.2 | The Limit of a Function | 2.2 Worksheet | ||

2.3 | Calculating Limits Using the Limit Laws | 2.3 Worksheet | ||

2 | 1/23 | |||

2.4 | The Precise Definition of a Limit | 2.4 Worksheet | ||

2.5 | Continuity | 2.5 Worksheet | ||

2.6 | Limits at Infinity; Horizontal Asymptotes | 2.6 Worksheet | ||

3 | 1/30 | 2.7 | Derivatives and Rates of Change | 2.7 Worksheet |

2.8 | The Derivative as a Function | 2.8 Worksheet | ||

3.1 | Derivatives of Polynomials and Exponential Functions | 3.1 Worksheet | ||

4 | 2/6 | 3.2 | The Product and Quotient Rules | 3.2 Worksheet |

Midterm 1 1131PracticeExam1(Actual Exam in Discussion) |
Solutions Exam1 | |||

5 | 2/13 | 3.3 | Derivatives of Trigonometric Functions | 3.3 Worksheet |

3.4 | The Chain Rule | 3.4 Worksheet | ||

3.5 | Implicit Differentiation | 3.5 Worksheet | ||

6 | 2/20 | 3.6 | Derivatives of Logarithmic Functions | 3.6 Worksheet |

3.8 | Exponential Growth and Decay | 3.8 Worksheet | ||

7 | 2/27 | 3.9 | Related Rates | 3.9 Worksheet |

3.10 | Linear Approximations and Differentials | 3.10 Worksheet | ||

4.8 | Newton’s Method | 4.8 Worksheet | ||

8 | 3/6 | 4.1 | Maximum and Minimum Values | 4.1 Worksheet |

Midterm 2 Practice Exam (Actual Exam in Discussion) |
Solutions Exam 2 | |||

9 | 3/13 | Spring Break | ||

10 | 3/20 | 4.2 | Mean Value Theorem | 4.2 Worksheet |

4.3 | How Derivatives Affect the Shape of a Graph | 4.3 Worksheet | ||

4.4 | Indeterminate Forms and l’Hospital’s Rule | 4.4 Worksheet | ||

11 | 3/27 | 4.7 | Optimization Problems | 4.7 Worksheet |

4.9 | Antiderivatives | 4.9 Worksheet | ||

12 | 4/3 | 5.1 | Areas and Distances | |

5.2 | The Definite Integral | 5.1/5.2 Worksheet | ||

5.3 | The Fundamental Theorem of Calculus | 5.3 Worksheet | ||

13 | 4/10 | 5.4 | Indefinite Integrals and the Net Change Theorem | 5.4 Worksheet |

Midterm 3 Practice Exam (Actual Exam in Discussion) |
Practice Exam Soln | |||

14 | 4/17 | 5.5 | The Substitution Rule | 5.5 Worksheet |

6.1 | Areas Between Curves | 6.1 Worksheet | ||

15 | 4/24 | 6.2 | Volumes | 6.2 Worksheet |

Review | ||||

16 | 5/1 | Finals Week Sample Final exam |
SampleFinalSoln |