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# Algebra For College Students

**by**Kaufmann, Jerome E.; Schwitters, Karen L.

9th

### 9780538733540

0538733543

Hardcover

1/1/2010

Cengage Learning

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## Summary

Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life.

## Table of Contents

Basic Concepts and Properties | |

Sets, Real Numbers, and Numerical Expressions | |

Operations with Real Numbers | |

Properties of Real Numbers and the Use of Exponents | |

Algebraic Expressions | |

Chapter 1 Summary | |

Chapter 1 Review Problem Set | |

Chapter 1 Test | |

Equations, Inequalities, and Problem Solving | |

Solving First-Degree Equations | |

Equations Involving Fractional Forms | |

Equations Involving Decimals and Problem Solving | |

Formulas | |

Inequalities | |

More on Inequalities and Problem Solving | |

Equations and Inequalities Involving Absolute Value | |

Chapter 2 Summary | |

Chapter 2 Review Problem Set | |

Chapter 2 Test | |

Polynomials | |

Polynomials: Sums and Differences | |

Products and Quotients of Monomials | |

Multiplying Polynomials | |

Factoring: Use of the Distributive Property | |

Factoring: Difference of Two Squares and Sum or Difference of Two Cubes | |

Factoring Trinomials | |

Equations and Problem Solving | |

Chapter 3 Summary | |

Chapter 3 Review Problem Set | |

Chapter 3 Test | |

Cumulative Review Problem Set (Chapters 1-3) | |

Rational Expressions | |

Simplifying Rational Expressions | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting Rational Expressions | |

More on Rational Expressions and Complex Fractions | |

Dividing Polynomials | |

Fractional Equations | |

More Fractional Equations and Applications | |

Chapter 4 Summary | |

Chapter 4 Review Problem Set | |

Chapter 4 Test | |

Exponents and Radicals | |

Using Integers as Exponents | |

Roots and Radicals | |

Combining Radicals and Simplifying Radicals That Contain Variables | |

Products and Quotients Involving Radicals | |

Equations Involving Radicals | |

Merging Exponents and Roots | |

Scientific Notation | |

Chapter 5 Summary | |

Chapter 5 Review Problem Set | |

Chapter 5 Test | |

Quadratic Equations and Inequalities | |

Complex Numbers | |

Quadratic Equations | |

Completing the Square | |

Quadratic Formula | |

More Quadratic Equations and Applications | |

Quadratic and Other Nonlinear Inequalities | |

Chapter 6 Summary | |

Chapter 6 Review Problem Set | |

Chapter 6 Test | |

Cumulative Review Problem Set (Chapters 1- 6) | |

Linear Equations and Inequalities in Two Variables | |

Rectangular Coordinate System and Linear Equations | |

Graphing Nonlinear Equations | |

Linear Inequalities in Two Variables | |

Distance and Slope | |

Determining the Equation of a Line | |

Chapter 7 Summary | |

Chapter 7 Review Problem Set | |

Chapter 7 Test | |

Functions | |

Concept of a Function | |

Linear Functions and Applications | |

Quadratic Functions | |

More Quadratic Functions and Applications | |

Transformations of Some Basic Curves | |

Combining Functions | |

Direct and Inverse Variation | |

Chapter 8 Summary | |

Chapter 8 Review Problem Set | |

Chapter 8 Test | |

Polynomial and Rational Functions | |

Synthetic Division | |

Remainder and Factor Theorems | |

Polynomial Equations | |

Graphing Polynomial Functions | |

Graphing Rational Functions | |

More on Graphing Rational Functions | |

Chapter 9 Summary | |

Chapter 9 Review Problem Set | |

Chapter 9 Test | |

Exponential and Logarithmic Functions | |

Exponents and Exponential Functions | |

Applications of Exponential Functions | |

Inverse Functions | |

Logarithms | |

Logarithmic Functions | |

Exponential Equations, Logarithmic Equations, and Problem Solving | |

Chapter 10 Summary | |

Chapter 10 Review Problem Set | |

Chapter 10 Test | |

Cumulative Review Problem Set (Chapters 1-10) | |

Systems of Equations | |

Systems of Two Linear Equations in Two Variables | |

Systems of Three Linear Equations in Three Variables | |

Matrix Approach to Solving Linear Systems | |

Determinants | |

Cramer's Rule | |

Partial Fractions (optional) | |

Chapter 11 Summary | |

Chapter 11 Review Problem Set | |

Chapter 11 Test | |

Algebra of Matrices | |

Algebra of Matrices | |

Multiplicative Inverses | |

Matrices | |

Systems of Linear Inequalities: Linear Programming | |

Chapter 12 Summary | |

Chapter 12 Review Problem Set | |

Chapter 12 Test | |

Conic Sections | |

Circles | |

Parabolas | |

Ellipses | |

Hyperbolas | |

Systems Involving Nonlinear Equations | |

Chapter 13 Summary | |

Chapter 13 Review Problem Set | |

Chapter 13 Test | |

Sequences and Mathematical Induction | |

Arithmetic Sequences | |

Geometric Sequences | |

Another Look at Problem Solving | |

Mathematical Induction | |

Chapter 14 Summary | |

Chapter 14 Review Problem Set | |

Chapter 14 Test | |

Prime Numbers and Operations with Fractions | |

Binomial Theorem | |

Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix A Problems | |

Answers to Selected Even-Numbered Problems | |

Index I-1 | |

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