## Technical Mathematics with CalculusThis version of Technical Mathematics with Calculus, 3E includes formal calculus concepts that are comprehensive in scope to help students prepare for technical, engineering technology, or scientific careers. Thorough coverage of precalculus topics provides a solid base for the presentation of more formal calculus concepts later in the book. This edition retains its easy-to-understand writing style and offers myriad application-oriented exercises and examples that will help students learn to use mathematics and technology in situations related to their future work. A companion web page has additional material for both faculty and students. Benefits: * 12 projects are interspersed throughout and integrate topics from various chapters, giving opportunities for students to get involved in comprehensive group work ? not currently offered in any other technical mathematics book * calculus-specific coverage includes derivatives, integrals, transcendental functions, parametric equations, vectors, polar coordinates, differential equations, and numerical methods and Laplace transforms * integrated calculator usage and all related discussions are up to date to reflect changes in calculator technology, with new calculator screen captures providing visuals for further clarification * more than 1,400 examples and 9,000 exercises -- many of which are application-oriented -- provide opportunities for solving problems and practicing what has been learned, while allowing the use of mathematics in situations like those to be encountered on the job * the companion web page contains additional projects, sample tests, student solutions, directions for using spreadsheets and different models of calculators, and PowerPoint materials |

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Pages à faire: 85, 88, 92, 93, 108, 109, 287, 290 et 292.

### Contents

The Real Number System | 1 |

Algebraic Concepts and Operations | 62 |

Geometry | 111 |

Building Design | 169 |

An Introduction to Trigonometry | 230 |

Chip Away | 270 |

Factoring and Algebraic Fractions | 314 |

Vectors and Trigonometric Functions | 356 |

Trigonometric Formulas Identities and Equations | 855 |

Roller Coasters | 884 |

An Introduction to Calculus | 886 |

The Derivative | 926 |

Applications of Derivatives | 975 |

Integration | 1028 |

Derivatives of Transcendental Functions | 1125 |

Techniques of Integration | 1166 |

Roll Em | 396 |

Graphs of Trigonometric Functions | 449 |

Where Will It Fall? | 503 |

Exponential and Logarithmic Functions | 534 |

Statistics and Empirical Methods | 575 |

Do You Want Fries? | 614 |

An Introduction to Plane Analytic Geometry | 661 |

Higher Degree Equations | 725 |

Systems of Equations and Inequalities | 753 |

Matrices | 786 |

Shaping Up | 817 |

Parametric Equations Vectors | 1218 |

Sound Out | 1254 |

Infinite Series | 1325 |

Lake Levels | 1355 |

HigherOrder Differential Equations | 1398 |

Numerical Methods and Laplace Transforms | 1422 |

APPENDIX A The Metric System | 1452 |

APPENDIX B Table of Integrals | 1462 |

1596 | |

### Common terms and phrases

ac circuit algebraic amplitude angle answer approximate axis box plot chapter circle coefficient common complex number Cont coordinates Cramer's rule denominator derivative determine digits distance domain Electronics ellipse engineering enter EXAMPLE Exercise Set exponential exponential function expression factor formula fraction frequency geometric sequence given graphing calculator height horizontal hyperbola identity indicated inequality inverse length linear equations logarithms matrix method MPLE multiply negative notation ordered pairs parabola parametric equations Plot polar polynomial problem Pythagorean theorem quadratic equation quadratic formula radians radius ratio rational numbers reactance real numbers rectangular result roots rule scientific notation sequence shown in Figure Simplify Simpson's rule sine sketch the graph slope slope-intercept form Solution Solve Exercises square subtract tangent trapezoid triangle trigonometric functions v-axis values variables vector velocity vertex vertical voltage write zero