Calculus for Business, Economics, Life Sciences, and Social Sciences, 13th edition

  • Raymond A. Barnett
  • Michael R. Ziegler
  • Karl E. Byleen
  • Karl E. Byleen

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Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market–with special emphasis on prerequisites skills–and a host of student-friendly features to help students catch up or learn on their own.


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Table of contents

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 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 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 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 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 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 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 Review

            Review Exercises


8. Trigonometric Functions

8.1 Trigonometric Functions Review

8.2 Derivatives of Trigonometric Functions

8.3 Integration of Trigonometric Functions

            Chapter 8 Review

            Review Exercises



A. Basic Algebra Review

A.1 Algebra and 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


B. Special Topics

B.1 Sequences, Series, and Summation Notation

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem


C. Tables

Table I. Basic Geometric Formulas

Table II Integration Formulas




Applications Index

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Published by Pearson (January 30th 2014) - Copyright © 2015