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# Algebra For College Students

**by**Dugopolski, Mark

4th

### 9780072934823

0072934824

Hardcover

12/1/2004

McGraw-Hill College

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## Summary

The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems. Every section ending in the text begins with six simple writing exercises. These exercises are designed to get students to review the definitions and rules of the section before doing more traditional exercises.

## Table of Contents

The Real Numbers | |

Sets | |

The Real Numbers | |

Operations on the Set of Real Numbers | |

Evaluating Expressions | |

Properties of the Real Numbers | |

Using the Properties | |

Linear Equations and Inequalities in One Variable | |

Linear Equations in One Variable | |

Formulas | |

Applications | |

Inequalities | |

Compound Inequalities | |

Absolute Value Equations and Inequalities | |

Linear Equations and Inequalities in Two Variables | |

Graphing Lines in the Coordinate Plane | |

Slope of a Line | |

Three Forms for the Equation of a Line | |

Linear Inequalities and Their Graphs | |

Functions and Relations | |

Systems of Linear Equations | |

Solving Systems by Graphing and Substitution | |

The Addition Method | |

Systems of Linear Equations in Three Variables | |

Solving Linear Systems Using Matrices | |

Determinants and Cramer's Rule | |

Linear Programming | |

Exponents and Polynomials | |

Integral Exponents and Scientific Notation | |

The Power Rules | |

Polynomials and Polynomial Functions | |

Multiplying Binomials | |

Factoring Polynomials | |

Factoring ax^2 + bx + c | |

Factoring Strategy | |

Solving Equations by Factoring | |

Rational Expressions and Functions | |

Properties of Rational Expressions and Functions | |

Multiplication and Division | |

Addition and Subtraction | |

Complex Fractions | |

Division of Polynomials | |

Solving Equations Involving Rational Expressions | |

Applications | |

Radicals and Rational Exponents | |

Radicals | |

Rational Exponents | |

Operations with Radicals | |

Quotients, Powers, and Rationalizing Denominators | |

Solving Equations with Radicals and Exponents | |

Complex Numbers | |

Quadratic Equations, Functions, and Inequalities | |

Factoring and Completing the Square | |

The Quadratic Formula | |

Quadratic Functions and Their Graphs | |

More on Quadratic Equations | |

Quadratic and Rational Inequalities | |

Additional Function Topics | |

Graphs of Functions and Relations | |

Transformations of Graphs | |

Combining Functions | |

Inverse Functions | |

Variation Chapter | |

Polynomial and Rational Functions | |

The Factor Theorem | |

Zeros of a Polynomial Function | |

The Theory of Equations | |

Graphs of Polynomial Functions | |

Graphs of Rational Functions | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Applications | |

Logarithmic Functions and Their Applications | |

Properties of Logarithms | |

Solving Equations and Applications | |

Nonlinear Systems and the Conic Sections | |

Nonlinear Systems of Equations | |

The Parabola | |

The Circle | |

The Ellipse and Hyperbola | |

Second-Degree Inequalities | |

Sequences and Series | |

Sequences | |

Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Binomial Expansions | |

Counting and Probability | |

Counting and Permutations | |

Combinations | |

Probability | |

Geometry Review Exercises | |

Sets | |

Final Exam Review | |

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