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

Published by Pearson (January 24, 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 1-2 semester or 1-3 quarter courses covering calculus for majors in business, economics, social sciences or life sciences.

Built-in tools for students to help themselves succeed

Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th Edition addresses the challenges of teaching and learning when prerequisite knowledge varies greatly among learners. It offers more built-in guidance than any other text available, with emphasis on prerequisite skills and a host of student-friendly features that help learners catch up or learn on their own. Emphasis on the construction of mathematical models gives students critical tools for solving application problems.

Hallmark features of this title

  • More than 4400 exercises are carefully selected and graded by difficulty.
  • Prerequisite skills are assessed at the start of the text and revisited before each exercise set.
  • Paired exercises of the same type/difficulty level allow control over student use of answers (odd answers are at the back of the text).
  • Ample, current applications show the relevance of math and enable students to create and interpret mathematical models.
  • Optional graphing-utility and spreadsheet examples and exercises encourage deeper understanding of concepts and prompt students to practice using tools they will likely use in the workplace.
  • Calculus coverage features early treatment of exponential and logarithmic functions plus more in-depth coverage of topics than other texts.

New and updated features of this title

  • NEW: A full-color redesign with a modern layout helps students navigate more easily and motivate them as they put in the hard work to learn the mathematics.
  • REVISED: All graphing calculator screens have been updated to TI-84 Plus CE (color) format.
  • NEW: Reminder features in the side 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.
  • REVISED: All 3-dimensional figures in the text have been revised using the latest software; the difference is very striking in most cases, and makes the figures more effective for teaching and learning.
  • UPDATED: Updated data in examples and exercises throughout; Many modern and student-centered applications have been added to help students see the relevance of the content.
  • NEW: 625 new exercises have been added throughout the text.

Highlights of the DIGITAL UPDATE for MyLab Math (available for Spring 2023 classes)

Instructors, contact your sales rep to ensure you have the most recent version of the course.

  • All example videos are updated, with nearly 400 high-quality and fully accessible videos added to the MyLab course and eText.
  • A set of new Assignable Projects has been added under Instructor Resources. The projects have associated rubrics, and their results report automatically to the MyLab Math Gradebook; projects are built into MediaShare, which allows students to submit many formats for their submission. Projects and rubrics are editable with the program.

Features of MyLab Math for the 14th Edition

  • 4430 assignable exercises include Additional Conceptual Questions and Setup & Solve exercises.
  • An Integrated Review version of the MyLab Math course contains premade quizzes to assess the prerequisite skills needed for each chapter, plus personalized remediation for any skills gaps.
  • The Note-Taking Guide provides definitions, theorems and statements of examples with blank space for students to write solutions to examples and sample problems. It corresponds to the text's Lecture PowerPoints and can be downloaded in PDF or Word format.
  • Interactive Figures illustrate key concepts and allow manipulation. Study Skills Modules help students with the life skills that promote success. MathTalk videos apply the course content to business, supported by assignable exercises.

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

8. Trigonometric Functions

  • 8.1 Right Triangle Trigonometry
  • 8.2 Trigonometric Functions
  • 8.3 Derivatives of Trigonometric Functions
  • 8.4 Integration of Trigonometric Functions
  • Chapter 8 Summary and Review
  • Review Exercises

9. Differential Equations

  • 9.1 Basic Concepts
  • 9.2 Separation of Variables
  • 9.3 First-Order Linear Differential Equations
  • Chapter 9 Summary and Review
  • Review Exercises

10. Taylor Polynomials and Infinite Series

  • 10.1 Taylor Polynomials
  • 10.2 Taylor Series
  • 10.3 Operations on Taylor Series
  • 10.4 Approximations Using Taylor Series
  • Chapter 10 Summary and Review
  • Review Exercises

11. Probability and Calculus

  • 11.1 Improper Integrals
  • 11.2 Continuous Random Variables
  • 11.3 Expected Value, Standard Deviation, and Median
  • 11.4 Special Probability Distributions
  • Chapter 11 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 postdoctoral 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, 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 J. 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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