Note: You can ignore the section numbers in the videos as they were created for a previous version of the text – the topics are still consistent. You can find more electronic resources such as flashcards and clicker questions under the Online Resources tab.

Section | Topic | Learning Activities |
---|---|---|

Review | Algebra Worksheet | |

2.1 | The Tangent and Velocity Problems | Video, Slides to Accompany Video, Worksheet |

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

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

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

2.5 | Continuity | Video, Worksheet |

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

2.7 | Derivatives and Rates of Change | Video, Worksheet |

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

Midterm 1 (Sections 2.1 to 2.8) | Practice Exam | |

3.1 | Derivatives of Polynomials and Exponential Functions | Worksheet |

3.2 | The Product and Quotient Rules | Video, Worksheet |

3.3 | Derivatives of Trigonometric Functions | Video, Worksheet |

3.4 | The Chain Rule | Video, Worksheet |

3.5 | Implicit Differentiation | Video, Worksheet |

3.6 | Derivatives of Logarithmic Functions | Worksheet |

3.8 | Exponential Growth and Decay | Worksheet |

3.9 | Related Rates | Worksheet |

3.10 | Linear Approximations and Differentials | Worksheet |

4.8 | Newton’s Method | Worksheet |

Midterm 2 (Sections 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.8, 3.9, 3.10, 4.8) | Practice Exam and Solutions | |

4.1 | Maximum and Minimum Values | Video, Worksheet |

4.2 | Mean Value Theorem | Video, Worksheet |

4.3 | How Derivatives Affect the Shape of a Graph | Video A, Video B, Worksheet |

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

4.7 | Optimization Problems | Video, Worksheet |

4.9 | Antiderivatives | Worksheet |

5.1 | Areas and Distances | Video Worksheet |

5.2 | The Definite Integral | Video, Worksheet |

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

Midterm 3 (Sections 4.1, 4.2, 4.3, 4.4, 4.7, 4.9, 5.1, 5.2, 5.3) | Practice Exam and Solutions | |

5.4 | Indefinite Integrals and the Net Change Theorem | Worksheet |

5.5 | The Substitution Rule | Video, Worksheet |

6.1 | Areas Between Curves | Video, Worksheet |

6.2 | Volumes | Video A, Video B, Worksheet |

Finals Week |
Practice Questions for Final and Solutions |