Text: Calculus Applications and Technology, Third Edition, By Edmond Tomastik

Chapter 1 — Functions | ||

Section | Topic | Suggested Exercises |

1.1 | Functions | 18/ 1,3,5,7,11-31 odd, 35,37,43-55 odd, 65,77,96,98 |

A6 | Lines | 636/ 2,4,10,12,26,31,36,42 |

A7 | Quadratic Functions | 650/ 2,6,19,23 |

1.2 | Mathematical Models | 41/ 1,3,5,7,13,17,19,31,33,35,37,39,40 |

1.3 | Exponential Models | 67/ 1,3,5,9-39 odd, 43,45,47,55,57,59,61,65 |

1.4 | Combinations of Functions | 75/ 1,3,9,15,17,19,21,23,25,31 |

1.5 | Logarithms | 89/ 1-43 odd, 49,53,55,57 |

Chapter 3 — Limits and the Derivative | ||

Section | Topic | Suggested Exercises |

3.1 | Limits | 157/ 1-6,9,11,13,15,17,21,23,27,29,31,33,35,39,43,47,49 |

3.2 | Rates of Change | 179/ 1,3,9,11,13,19,23,27,33,35,39 |

3.3 | The Derivative | 198/ 3,5,9,13(3,5),17,19,21,23,27-32,36,37,39,43 |

3.4 | Local Linearity | 211/ 1,3,5,7,9,11,25,27,29 |

Chapter 4 — Rules for the Derivative | ||

Section | Topic | Suggested Exercises |

4.1 | Derivatives of Powers, Exponents, Sums | 239/ 1,3,5,9,11,15,21,23,27,35,37,39,43,45,55,61,63,65,67,71,73,75 |

4.2 | Derivatives of Products and Quotients | 251/ 3,5,9,11,17,21,23,25,27,33,35 |

4.3 | Chain Rule | 262/ 1,3,9,11,13,19,27,29,33 |

4.4 | Exponential and Logarithmic Functions | 271/ 1,3,5,7,9,15,17,21,31,33,35,39,43,47,53,55,57,61 |

4.5 | Elasticity of Demand | 283/ 1,7,11,13,15,17,21 |

Chapter 5 — Curve Sketching and Optimization | ||

Section | Topic | Suggested Exercises |

5.1 | First Derivative | 307/ 9,11,15,21,23,25,29,35,51 |

5.2 | Second Derivative | 323/ 1,3,7,9,13-31 odd, 41,45,49,51,78,80,81 |

5.3 | Limits at Infinity | 339/ 1,3,5,9,11,17 |

5.4 | Curve Sketching | 347/1,3,11,13,17,29,35 |

5.5 | Absolute Extrema | 356/ 1-17 odd, 29 |

5.6 | Optimization and Modeling | 367/ 1,3,5,7,9,13,15 |

5.8 | Implicit Differentiation and Related Rates | 385/ 1,3,5,9,13,15,17,21,23,37,39,43 |

Chapter 6 — Integration | ||

Section | Topic | Suggested Exercises |

6.1 | Antiderivatives | 406/ 1,3,5,7,11,15,21,25,29,31,35,39,43,45 |

6.2 | Substitution | 414/ 1,3,5,9,11,13,21,25,27,37,39 |

6.3 | Estimating Distance Travelled | 429/ 3,4,5,9,17,19,21 |

6.4 | Definite Integral | 444/ 13,15,17,23,25,27,29,37,43,47 |

6.5 | Fundamental Theorem of Calculus | 457/ 1,3,5,9,13,15,17,19,21,23,35,37,39,41,64 |

7.2 | Integration Using Tables | 498/ 1,5,9,11,15,19,21,23 |

6.6 | Area Between Curves | 469/ 1,5,9,11,15,19,23,25,31,33,35,41,55,59,61 |

6.7 | Additional Applications of Integrals | 481/ 1,5,7,9,13,15,17,21,23,25 |

Chapter 7 — Additional Topics in Integration | ||

Section | Topic | Suggested Exercises |

7.4 | Improper Integrals | 517/ 1,3,7,10,13,31,33,37 |