College Algebra in Context with Applications for the Managerial, Life, and Social Sciences

Description

Ron Harshbarger received his BS from Shippensburg State and an MST from the University of New Hampshire, did graduate work at Penn State University, and received a PhD from the University of Pittsburgh. During a long and highly successful career at Penn State University, Dr. Harshbarger received both teaching and advising awards. At Georgia Southern University, he taught a wide variety of undergraduate and graduate courses in mathematics, developed five new mathematics courses, and created the mathematics component for a new doctoral degree.

At the University of South Carolina Beaufort, Dr. Harshbarger was named Professor of the Year in 1999. In 2000, Professor Harshbarger was named the Governor’s Professor of the Year for the State of South Carolina. In 2001, the University of South Carolina Board of Trustees named him the Trustee Professor of the Year. In 2002, he received the Mathematical Association of America Southeastern Section Award for Distinguished University Teaching of Mathematics. He was nominated for the 2003 Haimo Award for Distinguished College or University Teaching of Mathematics, a national award given by the Mathematical Association of America. In 2003, he was also named Professor of the Year at the University of South Carolina Beaufort and given the Governor’s Distinguished Professor Award for the state of South Carolina.

Lisa Yocco received her undergraduate degree in mathematics from Augusta State University and her graduate degree in mathematics education from Florida State University. She has taught at both the college level and the high school level for twenty years, with her most recent experience at Georgia Southern University. She has co-authored several manuals in mathematics and graphing calculators and has presented workshops and papers at numerous conferences. In addition to her textbook writing and teaching, she enjoys spending time with her three children, cooking, and working on interior decorating.

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value–this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson’s MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson’s MyLab & Mastering products.

For courses in college algebra. Mathematics from Classroom to Career College Algebra in Context, Fifth Edition is ideal for students majoring in business, social sciences, and life sciences. The authors use modeling, applications, and real-data problems to develop skills, giving students the practice they need to become adept problem solvers in their future courses and careers. This edition offers new sections on conics and the binomial theorem. Also available with MyMathLab MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. For this edition, the MyMathLab course has been expanded to include additional problem types and resources, and to support the authors’ special emphasis on applications. Note: You are purchasing a standalone product; MyLab^TM & Mastering^TM does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab & Mastering, search for: 0134397029 / 9780134397023 College Algebra in Context plus MyMathLab Student Access Kit Package consists of: 0134179021 / 9780134179025 College Algebra in Context with Applications for the Managerial, Life, and Social Sciences 0321431308 / 9780321431301 MyMathLab — Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker

About the Book

• Real-Data Applications, many of which are new or updated in this edition, keep the text up-to-date with recent economic and financial changes. Applications, the hallmark feature of this text, are written to prepare students to solve problems in their future courses and varied careers.
• Each section begins with a motivational problem that presents a real-life scenario. The problem is solved after the necessary skills are presented in that section.
• Special business and finance models are included to demonstrate the applications of functions to the business world.
• Group Activities and Extended Applications encourage communication skills and collaborative learning by asking students to apply their knowledge in creative ways.
• Chapter openers begin with a brief application that shows how the upcoming material relates to the real world. To motivate the students to read the text, each chapter opener also includes a list of applications students will see in each section.
• The Algebra Toolbox at the beginning of every chapter provides a “just in time” review of the algebra needed to learn upcoming material. Each Algebra Toolbox begins with a list of Key Concepts, just like the sections in the book, to make this tool even more useful for students.
• Key Concepts are outlined at the beginning of every section. These lists are consistent with the order and organization of the material in the chapter reviews, providing a helpful cross-reference for exam preparation.
• Skills Check problems precede the exercise sets, allowing students to quickly check if they have read and understood all the concepts needed to complete their homework.
• Exercise sets are designed to test student comprehension by incorporating the algebraic skills covered in the Skills Check with the application problems they will encounter in the real world.
• Chapter review material includes a wealth of resources to help students study efficiently.
• A chapter summary and grid outline Key Concepts and Formulas, which are organized by section and point back to the Key Concepts list at the beginning of each section.
• Skills Check problems and the exercise sets test students’ comprehension of the material in the chapter.

 

Also available with MyMathLab^®

MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

 

For this edition, the MyMathLab course has been expanded to include additional problem types and resources, and to support the authors’ special emphasis on applications.

• The exercise sets are fashioned for students majoring in business, social sciences, and life sciences. The focus is on developing students’ problem-solving skills to prepare them for their future courses and careers. Exercise sets incorporate modeling techniques, application problems, and real data.
• Learning aids in the exercises—Help Me Solve This, View an Example, and wrong-answer feedback—offer extra support for students who need help remembering definitions and explaining processes. These may be turned off at the instructor’s discretion.
• Author-designated sample homework problems are available in MyMathLab to make your start-up time efficient.
• Refresh Skills: Students who need help with prerequisite content are supported when and where they need it. Getting Ready assignments are available at the start of each chapter to refresh the algebra skills needed to learn the new material. Getting Ready assignments are available in both quiz and homework format.
• NEW! Guided Visualizations bring mathematical concepts to life. These animated figures help students visualize the concepts through directed explorations and purposeful manipulation. Guided Visualizations are assignable in MyMathLab and encourage active learning, critical thinking, and conceptual learning.
• NEW! The Note-taking Guide is a workbook that provides a framework for students as they take notes for this course. Students have a guide to help them organize definitions, examples, and processes. The guide is available for download in MyMathLab and also as a print supplement.
• NEW! MyMathLab with Integrated Review is a new course option that includes embedded review of prerequisite topics from previous courses. Bring struggling students up to speed without using valuable class time on review. Resources include skill-check quizzes, personalized homework, review worksheets, and videos.
• Narrated Example Videos have been updated to reflect new content and current real data.
• Introductory Videos contain a brief overview of the topics covered in each section and highlight objectives and key concepts. These videos give context to the Narrated Example videos.

Preface

To the Student

1. Functions, Graphs, and Models; Linear Functions

Algebra Toolbox

1-1 Functions and Models

1-2 Graphs of Functions

1-3 Linear Functions

1-4 Equations of Lines

Summary

Key Concepts and Formulas

Chapter 1 Skills Check

Chapter 1 Review

Group Activities/Extended Applications

2. Linear Models, Equations, and Inequalities

Algebra Toolbox

2-1 Algebraic and Graphical Solution of Linear Equations

2-2 Fitting Lines to Data Points: Modeling Linear Functions

2-3 Systems of Linear Equations in Two Variables

2-4 Solutions of Linear Inequalities

Summary

Key Concepts and Formulas

Chapter 2 Skills Check

Chapter 2 Review

Group Activities/Extended Applications

3. Quadratic, Piecewise-Defined, and Power Functions

Algebra Toolbox

3-1 Quadratic Functions; Parabolas

3-2 Solving Quadratic Equations

3-3 Piecewise-Defined Functions and Power Functions

3-4 Quadratic and Power Models

Summary

Key Concepts and Formulas

Chapter 3 Skills Check

Chapter 3 Review

Group Activities/Extended Applications

4. Additional Topics with Functions

Algebra Toolbox

4-1 Transformations of Graphs and Symmetry

4-2 Combining Functions; Composite Functions

4-3 One-to-One and Inverse Functions

4-4 Additional Equations and Inequalities

Summary

Key Concepts and Formulas

Chapter 4 Skills Check

Chapter 4 Review

Group Activities/Extended Applications

5. Exponential and Logarithmic Functions

Algebra Toolbox

5-1 Exponential Functions

5-2 Logarithmic Functions; Properties of Logarithms

5-3 Exponential and Logarithmic Equations

5-4 Exponential and Logarithmic Models

5-5 Exponential Functions and Investing

5-6 Annuities; Loan Repayment

5-7 Logistic and Gompertz Functions

Summary

Key Concepts and Formulas

Chapter 5 Skills Check

Chapter 5 Review

Group Activities/Extended Applications

6. Higher-Degree Polynomial and Rational Functions

Algebra Toolbox

6-1 Higher-Degree Polynomial Functions

6-2 Modeling with Cubic and Quartic Functions

6-3 Solution of Polynomial Equations

6-4 Polynomial Equations Continued; Fundamental Theorem of Algebra

6-5 Rational Functions and Rational Equations

6-6 Polynomial and Rational Inequalities

Summary

Key Concepts and Formulas

Chapter 6 Skills Check

Chapter 6 Review

Group Activities/Extended Applications

7. Systems of Equations and Matrices

Algebra Toolbox

7-1 Systems of Linear Equations in Three Variables

7-2 Matrix Solution of Systems of Linear Equations

7-3 Matrix Operations

7-4 Inverse Matrices; Matrix Equations

7-5 Determinants and Cramer’s Rule

7-6 Systems of Nonlinear Equations

Summary

Key Concepts and Formulas

Chapter 7 Skills Check

Chapter 7 Review

Group Activities/Extended Applications

8. Special Topics in Algebra

8-1 Systems of Inequalities

8-2 Linear Programming: Graphical Methods

8-3 Sequences and Discrete Functions

8-4 Series

8-5 Preparing for Calculus

8-6 The Binomial Theorem

8-7 Conic Sections: Circles and Parabolas

8-8 Conic Sections: Ellipses and Hyperbolas

Summary

Key Concepts and Formulas

Chapter 8 Skills Check

Chapter 8 Review

Group Activity/ Extended Applications

Appendices

A. Basic Graphing Calculator Guide

B. Basic Guide to Excel 2010 and Excel 2013

Photo Credits

Answers to Selected Exercises

Index

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value–this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson’s MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson’s MyLab & Mastering products.

 

Content Updates

• More than 300 additional algebra skills examples and applied exercises have been added to this edition.
• Real data has been updated or replaced in nearly all of the examples and exercises, keeping the applications current for this edition.
• TI graphing calculator graphics have been updated to the latest format (TI-84 Plus Silver with Color).
• The Excel® coverage and figures have been updated to Excel 2013 throughout the text and in the appendix.
• Appendix B has been updated to include instructions for Excel 2013 and Excel 2010.
• More specific Excel steps are presented within the text, with references to Appendix B for more details.
• Excel 2013 procedures are given to solve additional types of problems, especially in investment applications in Chapter 5.
• Additional modeling problems that involve decision making and critical thinking have been added throughout the text.
• Other updates by chapter:
• Multiplying Monomials and Binomials was moved to the Chapter 1 Algebra Toolbox, and Division of Polynomials by Monomials has been added.
• The discussion of Aligning Data was moved to Section 1.1.
• The discussion of Difference Quotients in Section 1.4 was expanded.
• A new subsection, Rounding Function Coefficients and Constants, which includes a discussion of significant digits, was added to the Chapter 2 Algebra Toolbox.
• A new subsection, Equations in Quadratic Form, was added to Section 4.4.
• A summary table of Transformations of Graphs was added to Section 5.1.
• New graphing calculator and Excel instructions and examples are given for solving investment problems in Section 5.5, Exponential Functions and Investing, and in Section 5.6, Annuities; Loan Repayment.
• A new subsection, Simplifying Complex Fractions, was added to the Chapter 6 Algebra Toolbox.
• Instructions and examples, using Excel 2013 to perform matrix operations, have been added in Section 7.3.
• Instructions and examples, using Excel 2013 to solve systems of linear equations with inverse matrices, have been added in Section 7.4.
• A new Section 7.5, Determinants and Cramer’s Rule, has been added to Chapter 7.
• A new Section 8.6, The Binomial Theorem, has been added to Chapter 8.
• A new Section 8.7, Conic Sections: Circles and Parabolas, has been added to Chapter 8.
• A new Section 8.8, Conic Sections: Ellipses and Hyperbolas, has been added to Chapter 8.

 

Also available with MyMathLab

MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

 

For this edition, the MyMathLab course has been expanded to include additional problem types and resources, and to support the authors’ special emphasis on applications.

• NEW! Guided Visualizations bring mathematical concepts to life. These animated figures help students visualize the concepts through directed explorations and purposeful manipulation. Guided Visualizations are assignable in MyMathLab and encourage active learning, critical thinking, and conceptual learning.
• NEW! The Note-taking Guide is a workbook that provides a framework for students as they take notes for this course. Students have a guide to help them organize definitions, examples, and processes. The guide is available for download in MyMathLab and also as a print supplement.
• NEW! MyMathLab with Integrated Review is a new course option that includes embedded review of prerequisite topics from previous courses. Bring struggling students up to speed without using valuable class time on review. Resources include skill-check quizzes, personalized homework, review worksheets, and videos.
• Narrated Example Videos have been updated to reflect new content and current real data.

Additional information

Dimensions	1.20 × 8.65 × 11.05 in
Imprint	Pearson
Format	gen
ISBN-13	09780134180038
ISBN-10	0134180038
Author	Ronald J. Harshbarger, Lisa S. Yocco
Subjects	mathematics, higher education, Precalculus, College Algebra