Algebra: Beginning and Intermediate

  • AUTHORS: Richard N. Aufmann; Joanne S. Lockwood
  • ISBN-13: 9781111579500 
  • Grade(s): 9 | 10 | 11 | 12
  • 912 Pages  Hardcover 
  • 3rd Edition  |  Previous Editions: 2008, 2005
  • ©2013     Published
  • Prices are valid only in the respective region

Overview

About The Product

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.

Features

  • 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.

About the Contributor

AUTHORS
  • Richard N. Aufmann

    Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. 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.

  • 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.

Table of Contents

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.

New to this Edition

  • 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.
  • Projects or Group Activities appear at the end of each set of exercises. These may be assigned to students to complete individually, or they may be assigned as group activities.
  • The end of chapter Summary has been revised. The Key Words and Essential Rules and Procedures are now mapped to specific page numbers, objectives, and examples for review.
  • Easily write, edit and update your syllabus with the Aufmann/Lockwood Syllabus Creator. This software program allows you to create your new syllabus in 6 easy steps: select the required course objectives, add your contact information, course information, student expectations, the grading policy, dates and location, and your course outline. And now you have your syllabus!

Components

Teacher Components

  • Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses  (ISBN-10: 1285857739 | ISBN-13: 9781285857732)
    IMPORTANT: When purchasing this instant access code for Developmental Math, ensure that you are using it in one of the following courses: Basic Math, Prealgebra, Elementary Algebra, Introductory Algebra, Intermediate Algebra or Elementary & Intermediate Algebra. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.
    Price = 82.00

Student Supplements

  • Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses  (ISBN-10: 1285857739 | ISBN-13: 9781285857732)
    IMPORTANT: When purchasing this instant access code for Developmental Math, ensure that you are using it in one of the following courses: Basic Math, Prealgebra, Elementary Algebra, Introductory Algebra, Intermediate Algebra or Elementary & Intermediate Algebra. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.
    Price = 82.00

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    ISBN-10:  1305236084 | ISBN-13:  9781305236080
    Price = $109.00

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Bundle: Algebra: Beginning and Intermediate 3rd Student Edition + Enhanced WebAssign (1-year access)

  • ISBN-10: 1337537500 | ISBN-13: 9781337537506
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