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

  • Raymond A. Barnett, 
  • Michael R. Ziegler, 
  • Karl E. Byleen, 
  • Christopher J. Stocker

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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 — and a host of user-friendly features to help you catch up or learn on your own.

Published by Pearson (December 11th 2020) - Copyright © 2019

ISBN-13: 9780137400126

Subject: Finite Math & Applied Calculus

Category: Applied Calculus

Table of contents

Table of Contents

  • 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

  • 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



Index of Applications

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