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Searching... | 30000010106764 | QA152.3 R63 2006 | Open Access Book | Book | Searching... |

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### Summary

### Summary

Gary Rockswold focuses on teaching algebra in context, answering the question, Why am I learning this? and ultimately motivating the students to succeed in this class. In addition, the author's understanding of what instructors need from a text (great 'real' examples and lots of exercises) makes this book fun and easy to teach from. Integrating this textbook into your course will be a worthwhile endeavor.

### Author Notes

Gary Rockswold- 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

Chapter 1 Introduction to Functions and Graphs |

1.1 Numbers, Data, and Problem Solving |

Sets of Numbers |

Scientific Notation |

Problem Solving |

1.2 Visualization of Data |

One-Variable Data |

Two Variable Data |

The Distance Formula |

The Midpoint Formula |

Graphing with a Calculator (Optional) |

Checking Basic Concepts for Sections 1.1 and 1.2 |

1.3 Functions and Their Representations |

Basic Concepts |

Representations of Functions |

Formal Definition of a Function |

Graphing Calculators and Functions (Optional) |

Identifying Functions |

1.4 Types of Functions and Their Rates of Change |

Constant Functions |

Linear Functions |

Slope as a Rate of Change |

Nonlinear Functions |

Average Rate of Change |

The Difference Quotien? |

Checking Basic Concepts for Sections 1.3 and 1.4 |

Chapter 1 Summary |

Chapter 1 Review Exercises |

Chapter 1 Extended and Discovery Exercises |

Chapter 2 Linear Functions and Equations |

2.1 Linear Functions and Models |

Exact and Approximate Models |

Representations of Linear Functions |

Modeling with Linear Functions |

Linear Regression (Optional) |

2.2 Equations of Lines |

Forms for Equations of Lines |

Determining Intercepts |

Horizontal, Vertical, Parallel, and Perpendicular Lines |

Modeling Data (Optional) |

Interpolation and Extrapolation |

Direct Variation Checking Basic Concepts for Sections 2.1 and 2.2 |

2.3 Linear Equations |

Equations |

Symbolic Solutions |

Graphical and Numerical Solutions |

Problem-Solving Strategies |

2.4 Linear Inequalities |

Inequalities |

Interval Notion |

Techniques for Solving Inequalities |

Compound Inequalities Checking Basic Concepts for Sections 2.3 and 2.4 |

2.5 Piecewise-Defined Functions |

Evaluating and Graphing Piecewise-Defined Functions |

The Greatest Integer Function |

The Absolute Value Function |

Equations and Inequalities Involving Absolute Values Checking Basic Concepts for Section 2.5 |

Chapter 2 Summary |

Chapter 2 Review Exercises |

Chapter 2 Extended and Discovery Exercises |

Chapter 1-2 Cumulative Review Exercises |

Chapter 3 Quadratic Functions and Equations |

3.1 Quadratic Functions and Models |