# Problems

Below are problems for each topic that can be used to support in-class problem-solving and discussion, or can be assigned for homework.

These problems should be available by August 17th.

Topic | LaTeX File (Compressed archive including .tex files and images) | PDF File |
---|---|---|

Constant Rates of Change | LaTeX Files | PDF File |

Graphing Constant Rate of Change | LaTeX Files | PDF File |

Varying Rates of Change | LaTeX Files | PDF File |

Graphing Varying Rates of Change | LaTeX Files | PDF File |

Average Rates of Change | LaTeX Files | PDF File |

Approximating Instantaneous Rates of Change | LaTeX Files | PDF File |

Continuity | LaTeX Files | PDF File |

Differentiability and Local Linearity | LaTeX Files | PDF File |

Limit at a Point | LaTeX Files | PDF File |

Limit Laws | LaTeX File | PDF File |

Limit Definition of Derivative | LaTeX File | PDF File |

Using the Limit Definition of Derivative | LaTeX File | PDF File |

Interpreting Derivatives | LaTeX File | PDF File |

Slopes of Secant and Tangent Lines | LaTeX Files | PDF File |

Graphing Derivatives | LaTeX Files | PDF File |

Basic Derivative Rules | LaTeX File | PDF File |

The Product Rule | LaTeX Files | PDF File |

The Quotient Rule | --- | -- |

The Chain Rule | LaTeX File | PDF File |

l'Hopital's Rule | LaTeX File | PDF File |

Mean Value Theorem | LaTeX File | PDF File |

Related Rates | LaTeX Files | PDF File |

Implicit Differentiation | LaTeX File | PDF File |

Introduction to Optimization | LaTeX Files | PDF File |

Optimization: Algebraic Modeling | LaTeX Files | PDF File |

Introduction to Riemann Sums | LaTeX Files | PDF File |

Riemann Sum Notation | LaTeX File | PDF File |

Definite Integrals | LaTeX Files | PDF File |

Antiderivatives | LaTeX File | PDF File |

The Fundamental Theorem of Calculus, Part 1 | LaTeX File | PDF File |

The Fundamental Theorem of Calculus, Part 2 | LaTeX Files | PDF File |

U-Substitution | LaTeX File | PDF File |