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Algebra: Beginning and Intermediate, 3rd Edition

Richard N. Aufmann, Joanne S. Lockwood

  • Copyright 2013
  • {{checkPublicationMessage('Published', '2012-02-14T00:00:00+0000')}}
Starting At £41.99 See pricing and ISBN options
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Algebra: Beginning and Intermediate 3rd Edition by Richard N. Aufmann/Joanne S. Lockwood
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Overview

Intended for combined introductory and intermediate algebra courses, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.

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Meet the Authors

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Richard N. Aufmann

Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. Mr. Aufmann taught math, computer science and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach.

Joanne S. Lockwood

Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.

What's New

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  • Prep Tests now appear at the start of each chapter. The Prep Tests will help students determine those skills in which they may already be proficient versus those skills which may need to be reviewed further before they can successfully complete the work in the upcoming chapter.
  • Review Your Understanding problem sets appear after Chapters 3, 6, 9, and 12 and are an opportunity for students to transition from one segment of the text to the next. Each review allows students the ability to assess their readiness to move on to a new set of topics.
  • Focus on Success appears at the beginning of each chapter and offers practical tips for improving study habits and performance on tests and exams.
  • How It's Used boxes present scenarios from the real world that demonstrate the utility of selected concepts from the text.
  • The Focus On feature alerts students to a specific type of problem they must master to succeed with the homework exercises or a test. These problems are accompanied by detailed explanations for each step of the solution.
  • The definition/key concepts boxes are newly revised. They now contain examples to illustrate how each definition or key concept applies in practice.
  • Try Exercise prompts are given at the end of each Example/Problem pairing and correspond with exercises in the section-ending Exercises. By following the prompts, students can immediately apply techniques presented in worked examples to homework exercises.
  • Concept Check exercises appear at the beginning of each section-ending exercise set. They promote conceptual understanding. Completing these exercises will help students deepen their understanding of the concepts being addressed.
  • In the News exercises are application exercises found throughout most sections of the text. They are based on newsworthy data and facts and are often drawn from current events.

Features

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  • Getting Ready exercises provide students with guided practice on the underlying principles of various objectives.
  • Think About It Exercises are conceptual in nature. They ask students to think about a concept, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
  • Important Points are highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and study more efficiently.

Table of Contents

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1. REAL NUMBERS AND VARIABLE EXPRESSIONS.
Introduction to Integers. Operations with Integers. Rational Numbers. Exponents and the Order of Operations Agreement. Variable Expressions. Translating Verbal Expressions into Variable Expressions.
2. SOLVING EQUATIONS AND INEQUALITIES.
Introduction to Equations. General Equations. Value Mixture and Uniform Motion Problems. Geometry Problems. Markup and Discount Problems. Applications: Problems Involving Percent. Inequalities in One Variable. Absolute Value Equations and Inequalities.
3. LINEAR FUNCTIONS AND INEQUALITIES IN TWO VARIABLES.
The Rectangular Coordinate System. Introduction to Functions. Linear Functions. Slope of a Straight Line. Finding Equations of Lines. Parallel and Perpendicular Lines. Inequalities in Two Variables.
4. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Solving Systems of Linear Equations by Graphing and by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Solving Systems of Equations by Using Determinants and by Using Matrices. Application Problems. Solving Systems of Linear Inequalities.
5. POLYNOMIALS.
Introduction to Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials.
6. FACTORING.
Common Factors. Factoring Polynomials of the Form x^2 + bx + c. Factoring Polynomials of the Form ax^2 + bx + c. Special Factoring. Factor Polynomials Completely. Solving Equations.
7. RATIONAL EXPRESSIONS.
Introduction to Rational Functions. Operations on Rational Expressions. Complex Fractions. Rational Equations. Proportions and Variation. Literal Equations.
8. RATIONAL EXPONENTS AND RADICALS.
Rational Exponents and Radical Expressions. Operations on Radical Expressions. Radical Functions. Solving Equations Containing Radical Expressions. Complex Numbers.
9. QUADRATIC EQUATIONS AND INEQUALITIES.
Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula. Equations that are Reducible to Quadratic Equations. Applications of Quadratic Equations. Properties of Quadratic Functions. Applications of Quadratic Functions. Nonlinear Inequalities.
10. FUNCTIONS AND RELATIONS.
Translations of Graphs. Algebra of Functions. One-to-One and Inverse Functions.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Introduction to Logarithms. Graphs of Logarithmic Functions. Exponential and Logarithmic Equations. Applications of Exponential and Logarithmic Functions.
12. CONIC SECTIONS.
The Parabola. The Circle. The Ellipse and the Hyperbola. Solving Nonlinear Systems of Equations. Quadratic Inequalities and Systems of Inequalities.
Final Exam.
Appendix.

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Traditional eBook and Print Options

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  • ISBN-10: 1133363776
  • ISBN-13: 9781133363774
  • RETAIL £41.99

  • ISBN-10: 1285020146
  • ISBN-13: 9781285020143
  • RETAIL £51.50

  • ISBN-10: 1111579504
  • ISBN-13: 9781111579500
  • RETAIL £296.00
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Supplements

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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

AIM for Success Practice Sheets for Aufmann/Lockwood's Algebra: Beginning and Intermediate, 3rd

ISBN: 9781133363774
Additional practice problems to help your students learn the material.

FOR STUDENTS

AIM for Success Practice Sheets for Aufmann/Lockwood's Algebra: Beginning and Intermediate, 3rd

ISBN: 9781133363774
Additional practice problems to help your students learn the material.