Higher Education

College Algebra: Real Mathematics, Real People, 7th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • ISBN-10: 1305071727  |  ISBN-13: 9781305071728
  • 744 Pages
  • Previous Editions: 2012, 2010
  • © 2016 | Published
  • College Bookstore Wholesale Price = $230.25
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About

Overview

COLLEGE ALGEBRA: REAL MATHEMATICS, REAL PEOPLE is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Retaining the series' emphasis on student support, selected examples throughout the text include notations directing students to previous sections to review concepts and skills needed to master the material at hand. The book also achieves accessibility through careful writing and design—including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its subtitle, this significant revision focuses more than ever on showing students the relevance of mathematics in their lives and future careers.

Features and Benefits

  • Side-By-Side Examples. Throughout the text, we present solutions to many examples from multiple perspectives-algebraically, graphically, and numerically. The side-by-side format of this pedagogical feature helps students to see a problem can be solved in more than one way and to see different methods yield the same result. The side-by-side format also addresses many different learning styles.
  • Why You Should Learn It Exercise. An engaging, real-life application of the concepts in the section, this exercise is typically described in the section opener as a motivator for the section.
  • Library of Parent Functions. Several elementary and non-elementary functions have been compiled as a Library of Parent Functions to facilitate familiarity with the basic functions. Each function is introduced at the first point of use in the text with a definition and description of basic characteristics. The Library of Parent Functions examples are identified in the title of the example and there is a Review of Library of Parent Functions after Chapter 4. A summary of functions is presented on the inside cover of this text.
  • Make a Decision Exercises. The Make a Decision exercises at the end of selected sections involve in-depth applied exercises in which students work with large, real-life data sets, often creating or analyzing models. These exercises are offered online at LarsonPrecalculus.com.
  • Explore the Concept. Each Explore the Concept engages students in active discovery of mathematical concepts, strengthens critical thinking skills, and helps build intuition.
  • What's Wrong? Each What's Wrong points out common errors made using graphing utilities.
  • Technology Tip. Technology Tips provide graphing calculator tips or provide alternate methods of solving a problem using a graphing utility.
  • Algebra of Calculus. Throughout the text, special emphasis is given to the algebraic techniques used in calculus. Algebra of calculus examples and exercises are integrated throughout the text.
  • Algebraic-Graphical-Numerical Exercises. These exercises allow students to solve a problem using multiple approaches—algebraic, graphical, and numerical. This helps students to see that a problem can be solved in more than one way and to see that different methods yield the same result.
  • Modeling Data Exercises. These multi-part applications that involve real-life data offer students the opportunity to generate and analyze mathematical models.
  • Vocabulary and Concept Check. The Vocabulary and Concept Check appears at the beginning of the exercise set for each section. Each of these checks asks fill-in-the-blank, matching, and non-computational questions designed to help students learn mathematical terminology and to test basic understanding of that section's concepts.
  • What You Should Learn/Why You Should Learn It. These summarize important topics in the section and why they are important in math and life.
  • Chapter Summaries. The Chapter Summary includes explanations and examples of the objectives taught in the chapter.
  • Error Analysis. This exercise presents a sample solution that contains a common error, which the students are asked to identify.
  • Enhanced WebAssign. Enhanced WebAssign combines exceptional college algebra content you know and love with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages you with immediate feedback, rich tutorial content and interactive, fully customizable eBooks (YouBook) helping you to develop a deeper conceptual understanding of the subject matter.

Table of Contents

CHAPTER P PREREQUISITES.
P.1 Real Numbers. P.2 Exponents and Radicals. P.3 Polynomials and Factoring. P.4 Rational Expressions. P.5 The Cartesian Plane. P.6 Representing Data Graphically. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.
1. FUNCTIONS AND THEIR GRAPHS.
Introduction to Library of Functions. 1.1 Graphs of Equations. 1.2 Lines in the Plane.
1.3 Functions. 1.4 Graphs of Functions. 1.5 Shifting, Reflecting, and Stretching Graphs. 1.6 Combinations of Functions. 1.7 Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.
2. SOLVING EQUATIONS AND INEQUALITIES.
2.1 Linear Equations and Problem Solving. 2.2 Solving Equations Graphically. 2.3 Complex Numbers. 2.4 Solving Quadratic Equations Algebraically. 2.5 Solving Other Types of Equations Algebraically. 2.6 Solving Inequalities Algebraically and Graphically. 2.7 Linear Models and Scatter Plots. Chapter Summary. Review Exercises.
Chapter Test. Cumulative Test: Chapters P−2. Proofs in Mathematics.
Progressive Summary (Ch P−2).
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
3.1 Quadratic Functions. 3.2 Polynomial Functions of Higher Degree. 3.3 Real Zeros of Polynomial Functions. 3.4 The Fundamental Theorem of Algebra. 3.5 Rational Functions and Asymptotes. 3.6 Graphs of Rational Functions. 3.7 Quadratic Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
4.1 Exponential Functions and Their Graphs. 4.2 Logarithmic Functions and Their Graphs. 4.3 Properties of Logarithms. 4.4 Solving Exponential and Logarithmic Equations. 4.5 Exponential and Logarithmic Models. 4.6 Nonlinear Models. Chapter Summary. Review Exercises. Chapter Test. Library of Parent Functions Review. Proofs in Mathematics. Progressive Summary (Ch P−4).
5. LINEAR SYSTEMS AND MATRICES.
5.1 Solving Systems of Equations. 5.2 Systems of Linear Equations in Two Variables.
5.3 Multivariable Linear Systems. 5.4 Matrices and Systems of Equations. 5.5 Operations with Matrices. 5.6 The Inverse of a Square Matrix. 5.7 The Determinant of a Square Matrix. 5.8 Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 3−5. Proofs in Mathematics.
6. SEQUENCES, SERIES, AND PROBABILITY.
6.1 Sequences and Series. 6.2 Arithmetic Sequences and Partial Sums. 6.3 Geometric Sequences and Series. 6.4 The Binomial Theorem. 6.5 Counting Principles. 6.6 Probability. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 7. CONICS AND PARAMETRIC EQUATIONS.
7.1 Circles and Parabolas. 7.2 Ellipses. 7.3 Hyperbolas. 7.4 Parametric Equations.
Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 6−7.
Proofs in Mathematics. Progressive Summary (Ch P−7).
Appendix A: Technology Support Guide.
Appendix B: Concepts in Statistics (WEB only).
B.1 Measures of Central Tendency and Dispersion. B.2 Least Squares Regression.
Appendix C: Variation (WEB only).
Appendix D: Solving Linear Equations and Inequalities (WEB only).
Appendix E: Systems of Inequalities (WEB only).
E.1 Solving Systems of Inequalities. E.2 Linear Programming.
Appendix F: Mathematical Induction (WEB only).

What's New

  • New LarsonPrecalculus.com. This free companion website offers multiple tools and resources to supplement your students' learning. Students can view and listen to worked-out solutions of Checkpoint problems in English or Spanish, download data sets, explore examples, watch lesson videos, and much more.
  • New Chapter Opener. Each Chapter Opener highlights real-life applications used in the examples and exercises.
  • New How Do You See It? The How Do You See It? feature in each section presents a real-life exercise students solve by visual inspection using the concepts learned in the lesson. This exercise is excellent for classroom discussion or test preparation.
  • New Checkpoints. Accompanying every example, the Checkpoint problems encourage immediate practice and check students' understanding of the concepts presented in the example. Students can view and listen to worked-out solutions of the Checkpoint problems in English or Spanish at LarsonPrecalculus.com.
  • New Data Spreadsheets. Downloadable, editable spreadsheets from LarsonPrecalculus.com that help students use the data to solve exercises.
  • Revised Exercise Sets. The exercise sets have been carefully and extensively examined to ensure they are rigorous and relevant and to include all topics our users have suggested. The exercises have been reorganized and titled so students can better see the connections between examples and exercises. Multi-step, real-life exercises reinforce problem-solving skills and mastery of concepts by giving students the opportunity to apply the concepts to real-life situations.
  • Revised Section Objectives. A bulleted list of learning objectives gives students the opportunity to preview what will be presented in the upcoming section.
  • Revised Remark. These hints and tips reinforce or expand upon concepts, help students learn how to study mathematics, address special cases, or show alternative or additional steps to a solution of an example.

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

Online Test Bank  (ISBN-10: 1305117816 | ISBN-13: 9781305117815)

The Electronic Test Bank offers test forms for every chapter of the text, along with an answer key. You may find this on the text's instructor companion site.

Complete Solutions Manual on Instructor's Web Site  (ISBN-10: 1305117840 | ISBN-13: 9781305117846)

This manual, found on the Instructors Companion Site, contains solutions to all exercises from the text, including Chapter Review Exercises, and Chapter Tests.

Web Site with PowerPoint®, Image Library  (ISBN-10: 1305117883 | ISBN-13: 9781305117884)

Everything you need for your course in one place! This collection of book-specific lecture and class tools is available online via www.cengage.com/login. Access and download PowerPoint presentations, images, instructor's manual, and more.

Cengage Learning Testing, powered by Cognero Instant Access  (ISBN-10: 1305258517 | ISBN-13: 9781305258518)

Cengage Learning Testing Powered by Cognero is a flexible, online system that allows you to author, edit, and manage test bank content, create multiple test versions in an instant, and deliver tests from your LMS, your classroom or wherever you want. This is available online via the Instructor Companion Site at www.cengage.com/login

Student Solutions Guide  (ISBN-10: 1305117751 | ISBN-13: 9781305117754)

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 = $95.95  | CengageBrain Price = $95.95  | College Bookstore Wholesale Price = $72.00

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 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.

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

Enhanced WebAssign® International Instant Access Code Homework with e-Book  (ISBN-10: 133729697X | ISBN-13: 9781337296977)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive eBook, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Instant Access Code Homework Only  (ISBN-10: 133729926X | ISBN-13: 9781337299268)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback and rich tutorial content, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Printed Access Card Homework with e-Book  (ISBN-10: 1337296961 | ISBN-13: 9781337296960)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive eBook, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Enhanced WebAssign® International Printed Access Card Homework Only  (ISBN-10: 1337299251 | ISBN-13: 9781337299251)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback and rich tutorial content, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Student Supplements

Student Solutions Guide  (ISBN-10: 1305117751 | ISBN-13: 9781305117754)

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 = $95.95  | CengageBrain Price = $95.95  | College Bookstore Wholesale Price = $72.00

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

Enhanced WebAssign® International Instant Access Code Homework with e-Book  (ISBN-10: 133729697X | ISBN-13: 9781337296977)

Enhanced WebAssign® engages you with immediate feedback, rich tutorial content, and an interactive eBook, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Instant Access Code Homework Only  (ISBN-10: 133729926X | ISBN-13: 9781337299268)

Enhanced WebAssign® engages you with immediate feedback and rich tutorial content, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Printed Access Card Homework with e-Book  (ISBN-10: 1337296961 | ISBN-13: 9781337296960)

Enhanced WebAssign® engages you with immediate feedback, rich tutorial content, and an interactive eBook, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Enhanced WebAssign® International Printed Access Card Homework Only  (ISBN-10: 1337299251 | ISBN-13: 9781337299251)

Enhanced WebAssign® engages you with immediate feedback and rich tutorial content, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Meet the Author

Author Bio

Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.