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Essentials of College Algebra

Essentials of College Algebra - 06 edition

ISBN13: 978-0618480968

Cover of Essentials of College Algebra 06 (ISBN 978-0618480968)
ISBN13: 978-0618480968
ISBN10: 061848096X
Cover type: Hardback
Edition/Copyright: 06
Publisher: Houghton Mifflin Harcourt
Published: 2006
International: No

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Essentials of College Algebra - 06 edition

ISBN13: 978-0618480968

Richard N. Aufmann and Richard D. Nation

ISBN13: 978-0618480968
ISBN10: 061848096X
Cover type: Hardback
Edition/Copyright: 06
Publisher: Houghton Mifflin Harcourt

Published: 2006
International: No
Summary

This new text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success.

In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Review Notes next to examples and Prepare for the Next Section exercises provide point-of-use review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.

  • Prepare for the Next Section Exercises appear at the end of exercises and are specifically written to review prerequisite skills the student will need in the next section. Answers at the end of the text and a reference section help students review if they get a wrong answer.
  • Review Notes cover prerequisite skills to help students without the necessary knowledge to understand important concepts. These example-specific notes direct students to the appropriate pages where they can practice and review the skill, thus decreasing frustration and increasing success.
  • Interactive Reading Support Questions engage students in learning mathematics and encourage them to think critically.
  • Visualize the Solution graphics are often paired with Algebraic Solutions to assist visual learners in understanding concepts.
  • Focus on Problem Solving features at the beginning of each chapter review then demonstrate various strategies used by successful problem solvers. This builds students' comfort level with problem solving and leaves them with a collection of tips and strategies to refer to throughout the course.
  • Eduspace, Houghton Mifflin's online learning tool powered by Blackboard, is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content.

Table of Contents

Note: Each chapter includes a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 1-6 include Cumulative Review Exercises.

Preliminary Concepts

P.1 The Real Number System
P.2 Integer and Rational Number Exponents
P.3 Polynomials
P.4 Rational Expressions
P.5 Complex Numbers

Exploring Concepts with Technology: Can You Trust Your Calculator?

1. Equations and Inequalities
1.1 Linear and Absolute Value Equations
1.2 Formulas and Applications
1.3 Quadratic Equations
1.4 Other Types of Equations
1.5 Inequalities

Exploring Concepts with Technology: Use a Graphing Calculator to Solve Equations

2. Functions and Graphs
2.1 A Two-Dimensional Coordinate System and Graphs
2.2 Introduction to Functions
2.3 Linear Functions
2.4 Quadratic Functions
2.5 Properties of Graphs
2.6 The Algebra of Functions

Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator

3. Polynomial and Rational Functions
3.1 The Remainder Theorem and the Factor Theorem
3.2 Polynomial Functions of Higher Degree
3.3 Zeros of Polynomial Functions
3.4 The Fundamental Theorem of Algebra
3.5 Graphs of Rational Functions and Their Applications

Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica

4. Exponential and Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions and Their Applications
4.3 Logarithmic Functions and Their Applications
4.4 Logarithms and Logarithmic Scales
4.5 Exponential and Logarithmic Equations
4.6 Exponential Growth and Decay

Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay

5. Systems Of Equations
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in More Than Two Variables
5.3 Inequalities in Two Variables and Systems of Inequalities

Exploring Concepts with Technology: Ill-Conditioned Systems of Equations