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Intermediate Algebra: An Applied Approach, 9th Edition

Richard N. Aufmann, Joanne S. Lockwood

  • Copyright 2014
  • {{checkPublicationMessage('Published', '2013-01-07T00:00:00+0000')}}
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Intermediate Algebra: An Applied Approach 9th Edition by Richard N. Aufmann/Joanne S. Lockwood
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Overview

As in previous editions, the focus in INTERMEDIATE ALGEBRA remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. Student engagement is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately solve similar problems, helps them build their confidence and eventually master the concepts.

Simplicity is key in the organization of this edition, as in all other editions. All lessons, exercise sets, tests, and supplements are organized around a carefully constructed hierarchy of objectives. Each exercise mirrors a preceding objective, which helps to reinforce key concepts and promote skill building. This clear, objective-based approach allows students to organize their thoughts around the content, and supports instructors as they work to design syllabi, lesson plans, and other administrative documents.

New features like Focus on Success, Apply the Concept, and Concept Check add an increased emphasis on study skills and conceptual understanding to strengthen the foundation of student success. The Ninth Edition also features a new design, enhancing the Aufmann Interactive Method and making the pages easier for both students and instructors to follow.

Available with InfoTrac® Student Collections http://gocengage.com/infotrac.

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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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  • DIGITAL CONTENT UPDATE 2020: Instructors and students benefit from WebAssign content updates without having to transition to a new edition, including new problem types such as Concept Checks, Learn Its, College Success Modules, an increased number of problems and more.
  • Apply the Concept boxes illustrate how an arithmetic operation is applied to a real-world situation so that students understand a context in which the operation is used.
  • Apply the Basic Concepts is a feature appears when a new application problem type is introduced. These examples illustrate the basic concepts of applications such as work problems and percent mixture problems. Students are then instructed to do specific exercises in the Concept Check exercises for that section.
  • Concept Check exercises promote conceptual understanding. Completing these exercises will deepen a student's understanding of the concepts being addressed and provide the foundation they need to successfully complete the remaining exercises in the exercise set.
  • Focus on Success appears at the start of each chapter. These are designed to help students make the most of the text and their time as they progress through the course and prepare for tests and exams.
  • Check Your Progress exercises appear approximately mid-chapter and test a student's understanding of the concepts presented thus far in the chapter.

Features

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  • Think About It exercises promote conceptual understanding. Completing these exercises will deepen students' understanding of the concepts being addressed.
  • INTERMEDIATE ALGEBRA is organized around a carefully constructed hierarchy of objectives. This objective-based approach provides an integrated learning environment that enables students to find resources such as assessment (both within the text and online), videos, tutorials, and additional exercises.
  • Prep Tests, at the beginning of each chapter, helps students determine which topics they may need to study more carefully, versus those they need only skim over to review. Answers provide a reference to the objective on which the exercise is based.
  • The Example/You Try It matched pairs are designed to actively involve students in learning the techniques presented. The You Try Its are based on the Examples. They are paired to easily refer students to the steps in the Examples as they work through the You Try Its.
  • How To examples provide solutions with detailed explanations for selected topics in each section.
  • Think About It exercises promote conceptual understanding. Completing these exercises will deepen students' understanding of the concepts being addressed.
  • The problem solving approach in the text emphasizes the importance of problem solving strategies. Model strategies are presented as guides to follow as students attempt the parallel You Try It's that accompany each numbered Example.
  • Working through the application exercises that contain real data will help prepare students to answer questions and/or solve problems based on their own experiences, using facts or information they gather.
  • At the end of each chapter, the Chapter Summary with Key Words and Essential Rules and Procedures includes an objective-level reference and a page reference to show where the concept was introduced, as well as an example of the summarized concept.

Table of Contents

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Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-12 include Cumulative Review Exercises.
A. AIM FOR SUCCESS.
1. REVIEW OF REAL NUMBERS.
Introduction to Real Numbers. Operations on Integers. Operations on Rational Numbers. Variable Expressions. Verbal Expressions and Variable Expressions.
2. FIRST-DEGREE EQUATIONS AND INEQUALITIES.
Solving First-Degree Equations. Applications: Mixture and Uniform Motion Problems. First-Degree Inequalities. 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. Application Problems. Solving Systems of Linear Inequalities.
5. POLYNOMIALS.
Exponential Expressions. Introduction to Polynomial Functions. Multiplication of Polynomials. Division of Polynomials. Introduction to Factoring. Factoring Trinomials. Special Factoring. Solving Equations by Factoring.
6. RATIONAL EXPRESSIONS.
Simplify Rational Expressions. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Ratio and Proportion. Rational Equations. Variation.
7. EXPONENTS AND RADICALS.
Rational Exponents and Radical Expressions. Add or Subtract Radical Expressions. Multiply or Divide Radical Expressions. Solving Equations Containing Radical Expressions. Complex Numbers.
8. QUADRATIC EQUATIONS.
Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square and the Quadratic Formula. Solving Equations that are Reducible to Quadratic Equations. Applications of Quadratic Equations. Quadratic Inequalities and Rational Inequalities.
9. FUNCTIONS AND RELATIONS.
Properties of Quadratic Functions. Translating and Reflecting Graphs. Algebra of Functions. One-to-One and Inverse Functions.
10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Introduction to Logarithms. Graphs of Logarithmic Functions. Solving Exponential and Logarithmic Equations. Applications of Exponential and Logarithmic Functions.
11. CONIC SECTIONS.
The Parabola. The Circle. The Ellipse and the Hyperbola. Solving Non-linear Systems of Equations. Quadratic Inequalities and Systems of Inequalities.
12. SEQUENCES AND SERIES.
Introduction to Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. Binomial Expansions.
FINAL EXAM.
APPENDIX.
Keystroke Guide.
Proofs of Logarithmic Properties.
Proof of the Formula for the Sum of n Terms of a Geometric Series.
Proof of the Formula for the Sum of n Terms of an Arithmetic Series.
Table of Symbols.
Table of Measurement Abbreviations.
Solutions to You Try Its.
Answers to Odd-Numbered Exercises.
GLOSSARY.
INDEX.

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  • ISBN-10: 1337763918
  • ISBN-13: 9781337763912
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  • ISBN-10: 035754000X
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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.

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ISBN: 9781337763912
WebAssign for Intermediate Algebra: An Applied Approach is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of instructors, enabling you to deploy assignments, instantly assess individual student and class performance and help your students master the course concepts. Enrich the teaching and learning experience with the superior content within the powerful digital platform of WebAssign. Tailor your course with a wide range of assignment settings, the ability to add your own questions and content, analytics at the individual and course level and student/teacher communication tools. DIGITAL CONTENT UPDATE 2020: Instructors and students benefit from WebAssign content updates without having to transition to a new edition, including new problem types such as Concept Checks, Learn Its, College Success Modules, an increased number of problems and more.