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Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version, 14th edition

Published by Pearson (January 12, 2018) © 2019

  • Raymond A. Barnett Merritt College
  • Michael R. Ziegler Marquette University
  • Karl E. Byleen Marquette University
  • Christopher J. Stocker Marquette University

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For 1-semester courses in Calculus.

Helps students “get the idea.”

Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version offers more built-in guidance than any other text in its field, with special emphasis on applications and prerequisite skills. A host of features help students catch up or learn on their own. The 14th Edition is enhanced by a design refresh, updated data and applications, and more. It includes Chapters 1-7 and is generally used for a 1-semester course. An expanded version of this text is available that contains Chapters 1-11 and is designed for a 2-term course in Applied Calculus. 

Hallmark features of this title

  • A Diagnostic Prerequisite Test assesses prerequisite skills prior to the course and provides a Basic Algebra Review to help students remediate where necessary.
  • Over 300 worked examples introduce concepts and demonstrate problem-solving techniques.
  • Matched Problems with each of the worked examples reinforce basic topics and help students assess their understanding.
  • Exercise sets after each section include Skills Warm-up problems that review prerequisite knowledge, followed by problems categorized by difficulty (A, B, and C), followed by Applications. 
  • Applications give students substantial experience in modeling and solving real-world problems.
  • Chapter Reviews summarize important terms, symbols, and concepts and are followed by Review Exercises. 

New and updated features of this title

  • New full-color design helps students navigate the text and enhances its pedagogical features. The revised design is free of potentially distracting elements. 
    • Figures have been re-rendered using the latest software and re-conceived to take advantage of a full color palette in order to maximize their instructional potential.
  • Reminder features in the margin either remind students of a concept that is needed at that point in the book or direct the student back to the section in which it was covered earlier.
  • The chapter on Trigonometry now only appears in the longer version of this text. 
  • Section 4.5 includes rewritten Theorem 3 on using the second-derivative test to find absolute extrema, making it applicable to more general intervals.
  • Section 6.2 includes rewritten material on the future value of a continuous income stream to provide a more intuitive and less technical treatment.

Features of MyLab Math for the 14th Edition

  • More exercises (approx. 4200 total): Most new questions are application oriented. New Setup & Solve exercises require students to show how they set up a problem as well as the solution, better mirroring what is required of students on tests.
  • Additional Conceptual Questions provide support for assessing concepts and vocabulary. Many of these questions are application oriented.
  • Enhanced Sample Assignments include just-in-time prerequisite review, help keep skills fresh with spaced practice of key concepts, and provide opportunities to work exercises without learning aids so students check their understanding. These assignments are editable in MyLab Math.
  • A full suite of Interactive Figures has been added to support teaching and learning. The figures illustrate key concepts and allow manipulation. They have been designed to be used in lecture as well as by students independently.
  • Study skills modules help students with the life skills that can make the difference between passing and failing. MathTalk videos highlight business applications and are supported by assignable exercises.
  • AnIntegrated Reviewversion of the MyLab Math course is also available. It contains pre-made, assignable quizzes to assess the prerequisite skills needed for each chapter, plus personalized remediation for identified gaps.
  • Preface
  • Diagnostic Prerequisite Test

1. Functions and Graphs

  • 1.1 Functions
  • 1.2 Elementary Functions: Graphs and Transformations
  • 1.3 Linear and Quadratic Functions
  • 1.4 Polynomial and Rational Functions
  • 1.5 Exponential Functions
  • 1.6 Logarithmic Functions
  • Chapter 1 Summary and Review
  • Review Exercises

2. Limits and the Derivative

  • 2.1 Introduction to Limits
  • 2.2 Infinite Limits and Limits at Infinity
  • 2.3 Continuity
  • 2.4 The Derivative
  • 2.5 Basic Differentiation Properties
  • 2.6 Differentials
  • 2.7 Marginal Analysis in Business and Economics
  • Chapter 2 Summary and Review
  • Review Exercises

3. Additional Derivative Topics

  • 3.1 The Constant e and Continuous Compound Interest
  • 3.2 Derivatives of Exponential and Logarithmic Functions
  • 3.3 Derivatives of Products and Quotients
  • 3.4 The Chain Rule
  • 3.5 Implicit Differentiation
  • 3.6 Related Rates
  • 3.7 Elasticity of Demand
  • Chapter 3 Summary and Review
  • Review Exercises

4. Graphing and Optimization

  • 4.1 First Derivative and Graphs
  • 4.2 Second Derivative and Graphs
  • 4.3 L'Hôpital's Rule
  • 4.4 Curve-Sketching Techniques
  • 4.5 Absolute Maxima and Minima
  • 4.6 Optimization
  • Chapter 4 Summary and Review
  • Review Exercises

5. Integration

  • 5.1 Antiderivatives and Indefinite Integrals
  • 5.2 Integration by Substitution
  • 5.3 Differential Equations; Growth and Decay
  • 5.4 The Definite Integral
  • 5.5 The Fundamental Theorem of Calculus
  • Chapter 5 Summary and Review
  • Review Exercises

6. Additional Integration Topics

  • 6.1 Area Between Curves
  • 6.2 Applications in Business and Economics
  • 6.3 Integration by Parts
  • 6.4 Other Integration Methods
  • Chapter 6 Summary and Review
  • Review Exercises

7. Multivariable Calculus

  • 7.1 Functions of Several Variables
  • 7.2 Partial Derivatives
  • 7.3 Maxima and Minima
  • 7.4 Maxima and Minima Using Lagrange Multipliers
  • 7.5 Method of Least Squares
  • 7.6 Double Integrals over Rectangular Regions
  • 7.7 Double Integrals over More General Regions
  • Chapter 7 Summary and Review
  • Review Exercises

Appendix A: Basic Algebra Review

  • A.1 Real Numbers
  • A.2 Operations on Polynomials
  • A.3 Factoring Polynomials
  • A.4 Operations on Rational Expressions
  • A.5 Integer Exponents and Scientific Notation
  • A.6 Rational Exponents and Radicals
  • A.7 Quadratic Equations

Appendix B: Special Topics (online at goo.gl/mjbXrG)

  • B.1 Sequences, Series, and Summation Notation
  • B.2 Arithmetic and Geometric Sequences
  • B.3 Binomial Theorem
  • B.4 Interpolating Polynomials and Divided Differences

Appendix C: Integration Using Tables

Answers

Index

Index of Applications

About our authors

Raymond A. Barnett,  a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department and was chairman of the department for 4 years. Raymond Barnett has authored or co-authored 18 textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish.

The late Michael R. Ziegler received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing post-doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and co-authored 11 undergraduate mathematics textbooks with Raymond A. Barnett, and more recently with Karl E. Byleen.

Karl E. Byleen received his B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups.

Christopher Stocker received his B.S. in mathematics and computer science from St. John's University in Minnesota and his M.A. and Ph.D. degrees in mathematics from the University of Illinois in Urbana-Champaign.  He is currently an Adjunct Assistant Professor in the Department of Mathematics, Statistics, and Computer Science of Marquette University.  He has published 8 research articles in the areas of graph theory and combinatorics.

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