# Precalculus with Modeling and Visualization

**by**Rockswold, Gary K.

### 9780321568007

## Questions About This Book?

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## Summary

## Author Biography

**Dr. Gary Rockswold** has been teaching mathematics for 25 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate and graduate students, and adult education classes. He is currently employed at Minnesota State University, Mankato, where he is a full professor of mathematics and the chair of the mathematics department. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. Outside of mathematics, he enjoys spending time with his wife and two children.

## Table of Contents

Introduction to Functions and Graphs | |

Numbers, Data, and Problem Solving | |

Visualizing and Graphing Data | |

Functions and Their Representations | |

Types of Functions | |

Functions and Their Rates of Change | |

Linear Functions and Equations | |

Linear Functions and Models | |

Equations of Lines | |

Linear Equations | |

Linear Inequalities | |

Absolute Value Equations and Inequalities | |

Quadratic Functions and Equations | |

Quadratic Functions and Models | |

Quadratic Equations and Problem Solving | |

Complex Numbers | |

Quadratic Inequalities | |

Transformations of Graphs | |

More Nonlinear Functions and Equations | |

More Nonlinear Functions and Their Graphs | |

Polynomial Functions and Models | |

Division of Polynomials | |

Real Zeros of Polynomial Functions | |

The Fundamental Theorem of Algebra | |

Rational Functions and Models | |

More Equations and Inequalities | |

Radical Equations and Power Functions | |

Exponential and Logarithmic Functions | |

Combining Functions | |

Inverse Functions and Their Representations | |

Exponential Functions and Models | |

Logarithmic Functions and Models | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Constructing Nonlinear Models | |

Trigonometric Functions | |

Angles and Their Measure | |

Right Triangle Trigonometry | |

The Sine and Cosine Functions and Their Graphs | |

Other Trigonometric Functions and Their Graphs | |

Graphing Trigonometric Functions | |

Inverse Trigonometric Functions | |

Trigonometric Identities and Equations | |

Fundamental Identities | |

Verifying Identities | |

Trigonometric Equations | |

Sum and Difference Identities | |

Multiple-Angle Identities | |

Further Topics in Trigonometry | |

Law of Sines | |

Law of Cosines | |

Vectors | |

Parametric Equations | |

Polar Equations | |

Trigonometric Form and Roots of Complex Numbers | |

Systems of Equations and Inequalities | |

Functions and Systems of Equations in Two Variables | |

Systems of Inequalities in Two Variables | |

Systems of Linear Equations in Three Variables | |

Solutions to Linear Systems Using Matrices | |

Table of Contents provided by Publisher. All Rights Reserved. |