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Summary

This text provides a supportive environment to help students successfully learn the content of a standard algebra course. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, focus their studying habits, and obtain greater mathematical success. Many components added to this edition of College Algebra have been designed to help students diagnose and review weak algebra skills. Prerequisite review is include in the textbook (and supporting materials) so that instructors can spend less time covering review material and students can still fill in the gaps in their mathematical knowledge. Integrated Review Notes provided next to examples throughout the text help students see the key prerequisite skills used within the example. For added convenience, these example-specific notes direct students to the page(s) where they can practice and review the skills needed to understand the new concept, thus decreasing students' frustration and increasing their success. Prepare for the Next Section Exercises, found at the end of the exercise sets, have been carefully selected to review the prerequisite skills students will need in the next section. Next to each exercise is a reference to a section of the text where students can go to review topics they don't understand. Answers to all of these exercises are provided in the Answer Appendix to help students better understand what they need to do to prepare for the next section. Additional program components that support students with weak skills include,Eduspace tutorial practice, HM Mathspace Student CD-ROM tutorial practice, SMARTHINKING Live Online Tutoring, and Instructional DVDs and Videos.

Table of Contents

Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 1–8 include Cumulative Review Exercises
Preliminary Concepts
The Real Number System
Integer and Rational Number Exponents
Polynomials
Factoring
Rational Expressions
Complex Numbers Exploring Concepts with Technology: Can You Trust Your Calculator?
Equations and Inequalities
Linear and Absolute Value Equations
Formulas and Applications
Quadratic Equations
Other Types of Equations
Inequalities
Variation and Applications
Exploring Concepts with Technology: Use a Graphing Calculator to Solve Equations
Functions and Graphs
A Two-Dimensional Coordinate System and Graphs
Introduction to Functions
Linear Functions
Quadratic Functions
Properties of Graphs
The Algebra of Functions
Modeling Data Using Regression
Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator
Polynomial and Rational Functions
The Remainder Theorem and the Factor Theorem
Polynomial Functions of Higher Degree
Zeros of Polynomial Functions
The Fundamental Theorem of Algebra
Graphs of Rational Functions and Their Applications
Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica
Exponential and Logarithmic Functions
Inverse Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Logarithms and Logarithmic Scales
Exponential and Logarithmic Equations
Exponential Growth and Decay
Modeling Data with Exponential and Logarithmic Functions
Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay
Topics in Analytic Geometry
Parabolas
Ellipses
Hyperbolas
Exploring Concepts with Technology: Using a Graphing Calculator to Illustrate a Property of Parabolas
Systems of Equations
Systems of Linear Equations in Two Variables
Systems of Linear Equations in More Than Two Variables
Nonlinear Systems of Equations
Partial Fractions
Inequalities in Two Variables and Systems of Inequalities
Linear Programming
Exploring Concepts with Technology: Ill-Conditioned Systems of Equations
Matrices
Gaussian Elimination Method
The Algebra of Matrices
The Inverse of a Matrix
Determinants
Cramer's Rule Exploring Concepts with Technology: Stochastic Matrices
Sequences, Series, and Probability
Infinite Sequences and Summation Notation
Arithmetic Sequences and Series
Geometric Sequences and Series
Mathematical Induction
The Binomial Theorem
Permutations and Combinations
Introduction to Probability
Exploring Concepts with Technology: Mathematical Expectation
Solutions to the Try Exercises
Answers to Selected Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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