Professional

College Algebra, 11th Edition

  • R. David Gustafson Rock Valley College (Emeritus)
  • Jeff Hughes Hinds Community College
  • ISBN-10: 1111990905  |  ISBN-13: 9781111990909
  • 848 Pages
  • Previous Editions: 2010, 2007, 2004
  • © 2013 | Published
  • List Price = $ 308.95
  • For quantity discounts, Contact your Representative
  • For single copy purchases, visit CengageBrain.com
  • Newer Edition Available

About

Overview

Clearly written and comprehensive, the eleventh edition of Gustafson and Hughes' popular book, COLLEGE ALGEBRA, provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors combine carefully selected pedagogical features and patient explanations to give readers a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help learners quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life. Retaining the mathematical precision instructors have come to expect, the authors have focused on making this new edition more modern to better illustrate the importance of math in our world.

Features and Benefits

  • STUDENT-FRIENDLY WRITING STYLE: Clear, concise, and friendly exposition helps to alleviate student anxiety about reading a mathematics textbook. The writing is informal yet accurate. Students and instructors alike should find the reading both interesting and inviting.
  • CAREERS IN MATHEMATICS CHAPTER OPENERS: To encourage students to explore careers that use mathematics and make a connection between math and real life, each chapter opens with Careers in Mathematics. New, exciting careers are showcased in this edition. Featuring information taken primarily from the Occupational Outlook Handbook, these snapshots include information on how professionals use math in their work and who employs them. A web address is provided, allowing students to learn more about the career.
  • SECTION OPENERS: To pique interest and motivate students to read the material, each section begins with a contemporary photo and a real-life application that will appeal to students of varied interests.
  • NUMBERED OBJECTIVES: Numbered learning objectives, which are listed at the beginning of each section and appear as subheadings in the section, keep students focused.
  • EXAMPLE STRUCTURE: To help students gain a deeper understanding of how to solve each problem, solutions to examples begin with a stated approach. The examples are engaging, and step-by-step solutions with annotations are provided.
  • APPLICATION EXAMPLES: Applications from a wide range of disciplines demonstrate how mathematics is used to solve real problems, answering the student question, "When will I ever use this math?" These applications, many accompanied by an eye-catching photo, motivate the material and help students become better problem solvers.
  • SELF CHECKS: Each example is followed immediately by a Self Check exercise that actively reinforces student understanding of concepts and example solutions. The answers for students are offered at the end of each section. To assist instructors, the answers appear next to the problem in the Annotated Instructor's Edition, printed in blue.
  • COMMENTS: Comment boxes appear throughout the textbook, providing additional insights; for instance, clarification on a specific step or concept in an example, or a tip for studying the material.
  • ACCENTS ON TECHNOLOGY AND CALCULATORS: Accents on Technology appear throughout the textbook to encourage students to become intelligent users of technology and grasp concepts graphically. They illustrate and guide the use of a TI-84 graphing calculator for specific problems. Although graphing calculators are incorporated into the book, their use is not required. All graphing topics are fully discussed in traditional ways.
  • GETTING READY EXERCISES: Each problem set begins with Getting Ready exercises, which test students' understanding of concepts and proper use of mathematical vocabulary. Students should be able to answer these fill-in-the blank questions before moving on to the Practice exercises.
  • COMPREHENSIVE EXERCISE SETS: The book contains more than 4,000 exercises, many new, to improve mathematical skills and cement understanding. The exercise sets--which include Getting Ready, Practice, Application, Discovery and Writing, and Review problems--progress from routine to more challenging. The mathematics in each exercise set is sound, but not so rigorous that it will confuse students.
  • INTERESTING AND CONTEMPORARY APPLICATION EXERCISES: To continue the emphasis on solving problems through realistic applications, new application exercises have been added and others updated. All application problems have titles.
  • CHAPTER REVIEWS AND CHAPTER TESTS: Each chapter closes with a Chapter Review and Chapter Test, giving students the best opportunity for study and exam preparation. Chapter Reviews are comprehensive and consist of three parts: definitions and concepts, examples, and review exercises. Chapter Tests cover all the important topics and yet are brief enough to emulate a "real-time" test, so students can practice not only the math but also their test-taking aptitude. As an additional quick reference, endpapers offer the important formulas and graphs developed in the book.
  • CUMULATIVE REVIEWS: To reinforce student learning and improve student retention of concepts, Cumulative Review Exercises appear after every two chapters. These comprehensive reviews revisit all the essential topics covered in prior chapters.

Table of Contents

0. A REVIEW OF BASIC ALGEBRA.
Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials. Factoring Polynomials. Rational Expressions. Chapter Review. Chapter Test.
1. EQUATIONS AND INEQUALITIES.
Linear Equations and Rational Equations. Applications of Linear Equations. Quadratic Equations. Applications of Quadratic Equations. Complex Numbers. Polynomial and Radical Equations. Inequalities. Absolute Value. Chapter Review. Chapter Test. Cumulative Review Exercises.
2. THE RECTANGULAR COORDINATE SYSTEM AND GRAPHS OF EQUATIONS.
The Rectangular Coordinate System. The Slope of a Nonvertical Line. Writing Equations of Lines. Graphs of Equations. Proportion and Variation. Chapter Review. Chapter Test.
3. FUNCTIONS.
Functions and Function Notation. Quadratic Functions. Polynomial and Other Functions. Transformation of Functions. Rational Functions. Operations on Functions. Inverse Functions.
Chapter Review. Chapter Test. Cumulative Review Exercises.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Applications of Exponential Functions. Logarithmic Functions and Their Graphs. Applications of Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Review. Chapter Test.
5. SOLVING POLYNOMIAL EQUATIONS.
The Remainder and Factor Theorems; Synthetic Division. Descartes' Rule of Signs and Bounds on Roots. Roots of Polynomial Equations. Approximating Irrational Roots of Polynomial Equations. Chapter Review. Chapter Test. Cumulative Review Exercises.
6. LINEAR SYSTEMS.
Systems of Linear Equations. Gaussian Elimination and Matrix Methods. Matrix Algebra. Matrix Inversion. Determinants. Partial Fractions. Graphs of Linear Inequalities. Linear Programming. Chapter Review. Chapter Test.
7. CONIC SECTIONS AND QUADRATIC SYSTEMS.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Problems Using Nonlinear Systems of Equations. Chapter Review. Chapter Test. Cumulative Review Exercises.
8. NATURAL NUMBER FUNCTIONS AND PROBABILITY.
The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability. Chapter Review. Chapter Test.
9. MATHEMATICS OF FINANCE (online).
Interest. Annuities and Future Value. Present Value of an Annuity; Amortization. Linear Programming. Chapter Review. Chapter Test. Cumulative Review Exercises.
Appendix I: A PROOF OF THE BINOMIAL THEOREM.
Appendix II: TABLES.
Powers and Roots. Base-10 Logarithms. Base-e Logarithms.
Appendix III: ANSWERS TO SELECTED EXERCISES (in Student Edition only).

What's New

  • STRATEGY BOXES: To enable students to build on their mathematical reasoning and approach problems with confidence, Strategy boxes offer problem-solving techniques and steps at appropriate points in the material.
  • CAUTION BOXES: Caution boxes appear throughout the text to alert students to common errors and misunderstandings, and reinforce correct mathematics.
  • NOW TRY EXERCISES: A reference to a Now Try exercise follows all Examples and Self Check problems, providing students an additional opportunity to assess their understanding of the concept related to each worked example. These references also show students a correspondence between the examples in the book and the exercise sets.
  • TITLED EXAMPLES: Descriptive titles have been added to clearly identify the topic and purpose of each example.
  • DESIGN: Color is used to highlight and differentiate definition boxes, property and theorem boxes, and strategy boxes--helping to categorize information for students and making it easier to absorb and remember.

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

ePack: Text + Enhanced WebAssign 1-Term Instant Access for Math and Science

ISBN-10: 1285728343  | ISBN-13: 9781285728346

List Price = $315.95  | CengageBrain Price = $315.95


Bundle: Text + Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses

ISBN-10:  1133537405  | ISBN-13:  9781133537403

List Price = $315.95


Bundle: Text + Student Solutions Manual

ISBN-10:  1133615430 | ISBN-13:  9781133615439

List Price = $420.95  | CengageBrain Price = $420.95


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

College Algebra, 11th: Complete Solutions Manual  (ISBN-10: 1133103421 | ISBN-13: 9781133103424)

This manual contains solutions to all exercises from the text, including Chapter Review Exercises, Chapter Tests, and Cumulative Review Exercises.

College Algebra, 11th: Test Bank  (ISBN-10: 113310343X | ISBN-13: 9781133103431)

The test bank includes six tests per chapter as well as three final exams. The tests are made up of a combination of multiple-choice, free-response, true/false, and fill-in-the-blank questions.

Text-Specific DVDs  (ISBN-10: 1133103448 | ISBN-13: 9781133103448)

These text-specific instructional videos provide students with visual reinforcement of concepts and explanations, in easy-to-understand terms with detailed examples and sample problems. A flexible format offers versatility for quickly accessing topics or catering lectures to self-paced, online, or hybrid courses. Closed captioning is provided for the hearing impaired.

List Price = $265.95  | College Bookstore Wholesale Price = $200.00

College Algebra, 11th: PowerLecture CD-ROM with ExamView Test Generator  (ISBN-10: 1133103456 | ISBN-13: 9781133103455)

This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching, including Microsoft® PowerPoint® lecture slides and figures from the book. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams by using the link to Solution Builder's online solutions manual.

Student Solutions Manual  (ISBN-10: 1133103472 | ISBN-13: 9781133103479)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

List Price = $111.95  | CengageBrain Price = $111.95  | College Bookstore Wholesale Price = $84.00

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. 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.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Student Supplements

Text-Specific DVDs  (ISBN-10: 1133103448 | ISBN-13: 9781133103448)

These text-specific instructional videos provide you with visual reinforcement of concepts and explanations, in easy-to-understand terms with detailed examples and sample problems. A flexible format offers versatility for quickly accessing topics. Closed captioning is provided.

List Price = $265.95  | College Bookstore Wholesale Price = $200.00

Student Solutions Manual  (ISBN-10: 1133103472 | ISBN-13: 9781133103479)

Go beyond the answers--see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text, giving you the information you need to truly understand how these problems are solved.

List Price = $111.95  | CengageBrain Price = $111.95  | College Bookstore Wholesale Price = $84.00

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. 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.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Meet the Author

Author Bio

R. David Gustafson

R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.

Jeff Hughes

Jeff Hughes has taught the college algebra course continually for the past 20 years, and his firsthand experience with students lends itself to the innovative ideas he has brought to the text. He has led the way for the addition of the new features and the revised content in COLLEGE ALGEBRA, 10E. He teaches at Hinds Community College in Mississippi.