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# College Algebra Concepts and Models

**by**Larson, Ron; Hostetler, Robert P.; Edwards, Bruce H.

4th

### 9780618220267

0618220267

Hardcover

6/28/2002

Brooks Cole

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## Summary

College Algebra: Concepts and Models provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage of optional discovery and exploration activities that use technology and are integrated throughout the text. A brief version of this text, College Algebra: A Concise Course, provides a shorter version of the text without the introductory review.

## Table of Contents

Note: Each chapter includes a Mid-Chapter Quiz | |

Summary | |

Review Exercises, and Chapter Test | |

Fundamental Concepts of Algebra | |

Real Numbers: Order and Absolute Value | |

The Basic Rules of Algebra | |

Integer Exponents | |

Radicals and Rational Exponents | |

Polynomials and Special Products | |

Factoring | |

Fractional Expressions Make a Decision Project: Musical Notes and Frequencies | |

Equations and Inequalities | |

Linear Equations | |

Mathematical Modeling | |

Quadratic Equations | |

The Quadratic Formula | |

Other Types of Equations | |

Linear Inequalities | |

Other Types of Inequalities Make a Decision Project: Salaries in Professional Baseball Cumulative Test: Chapters R1–R2 | |

Functions and Graphs | |

Graphs of Equations | |

Lines in the Plane | |

Linear Modeling and Direct Variation | |

Functions | |

Graphs of Functions | |

Transformations of Functions | |

The Algebra of Functions | |

Inverse Functions Make a Decision Project: Demographics | |

Polynomial and Rational Functions | |

Quadratic Functions and Models | |

Polynomial Functions of Higher Degree | |

Polynomial Division | |

Real Zeros of Polynomial Functions | |

Complex Numbers | |

The Fundamental Theorem of Algebra | |

Rational Functions Make a Decision Project: Renewable Energy | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Solving Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models Make a Decision Project: Newton's Law of Cooling Cumulative Test: Chapters 1–3 | |

Systems of Equations and Inequalities | |

Solving Linear Systems Using Substitution | |

Solving Linear Systems Using Elimination | |

Linear Systems in Three or More Variables | |

Systems of Inequalities | |

Linear Programming Make a Decision Project: Newspapers | |

Matrices and Determinants | |

Matrices and Linear Systems | |

Operations with Matrices | |

The Inverse of a Square Matrix | |

The Determinant of a Square Matrix | |

Applications of Matrices and Determinants Make a Decision Project: Market Share | |

Sequences, Series, and Probability | |

Sequences and Summation Notation | |

Arithmetic Sequences and Partial Sums | |

Geometric Sequences and Series | |

The Binomial Theorem | |

Counting Principles | |

Probability | |

Mathematical Induction Make a Decision Project: The Multiplier Effect Cumulative Test: Chapters 4–6 | |

An Introduction to Graphing Utilities | |

Conic Sections | |

Conic Sections | |

Conic Sections and Translations | |

Further Concepts in Statistics (Available on the web/CD only) | |

Data and Linear Modeling | |

Measures of Central Tendency and Dispersion | |

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