Calculus for Business, Economics, Life Sciences, and Social Sciences

Calculus for Business, Economics, Life Sciences, and Social Sciences

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Description

  • 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

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.

Calculus for Business, Economics, Life Sciences, and Social Sciences offers you more built-in guidance than any other applied calculus text available. Its coverage of the construction of mathematical models helps you develop critical tools for solving application problems. Technology coverage is optional, but discussions on using graphing calculators and spreadsheets are included where appropriate.

The 14th Edition features a brand-new, full-color redesign and updated layout to help you navigate more easily as you put in the work to learn the math. Throughout, data is updated in examples and exercises. New features include Reminder margin notes; all graphing calculator screens are updated to the TI-84 Plus CD; and much more.

This print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed.

Details

  • A print text
  • Free shipping

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.

For two-semester courses in Calculus.

Helps students “get the idea.”

Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th Edition offers more built-in guidance than any other text in its field – with special emphasis on applications and prerequisite skills – and a host of student-friendly features to help students catch up or learn on their own. The text’s emphasis on helping students “get the idea” is enhanced in the new edition by a design refresh, updated data and applications, and a robust MyLab™ Math course.

Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th Edition includes Chapters 1-11 and is generally used for a 2-semester course. Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version contains Chapters 1-8 and is designed for a one-term course in Applied Calculus. 

Also available with MyLab Math

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

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.

Additional information

Dimensions 1.40 × 8.30 × 10.60 in
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ISBN-13

ISBN-10

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Subjects

mathematics, higher education, applied calculus, applied math, Calculus, Applied & Advanced Math