Calculus for Business, Econonmics, Life Sciences & Social Sciences / Edition 11

Calculus for Business, Econonmics, Life Sciences & Social Sciences / Edition 11

by Raymond A. Barnett
     
 

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ISBN-10: 0132328186

ISBN-13: 2900132328189

Pub. Date: 04/02/2007

Publisher: Prentice Hall

Designed to be accessible, this book develops a thorough, functional understanding of calculus in preparation for its application in other areas. Concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving.

Covers calculus with an emphasis on cross-discipline principles and

Overview

Designed to be accessible, this book develops a thorough, functional understanding of calculus in preparation for its application in other areas. Concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving.

Covers calculus with an emphasis on cross-discipline principles and practices.

For the professional who wants to acquire a knowledge of calculus for application in business, economics, and the life and social sciences.

Product Details

ISBN-13:
2900132328189
Publisher:
Prentice Hall
Publication date:
04/02/2007
Edition description:
Older Edition
Pages:
704

Table of Contents

PART 1 A LIBRARY OF ELEMENTARY FUNCTIONS

1 Linear Equations and Graphs

1-1 Linear Equations and Inequalities

1-2 Graphs and Lines

1-3 Linear Regression

Chapter 1 Review

Review Exercise

2 Functions and Graphs

2-1 Functions

2-2 Elementary Functions: Graphs and Transformations

2-3 Quadratic Functions

2-4 Exponential Functions

2-5 Logarithmic Functions

Chapter 2 Review

Review Exercise

PART 2 CALCULUS

3 Limits and the Derivative

3-1 Introduction to Limits

3-2 Continuity

3-3 Infinite Limits and Limits at Infinity

3-4 The Derivative

3-5 Basic Differentiation Properties

3-6 Differentials

3-7 Marginal Analysis in Business and Economics

Chapter 3 Review

Review Exercise

4 Additional Derivative Topics

4-1 The Constant e and Continuous Compound Interest

4-2 Derivatives of Exponential and Logarithmic Functions

4-3 Derivatives of Products and Quotients

4-4 The Chain Rule

4-5 Implicit Differentiation

4-6 Related Rates

4-7 Elasticity of Demand

Chapter 4 Review

Review Exercise

5 Graphing and Optimization

5-1 First Derivative and Graphs

5-2 Second Derivative and Graphs

5-3 L’Hôpital’s Rule

5-4 Curve-Sketching Techniques

5-5 Absolute Maxima and Minima

5-6 Optimization

Chapter 5 Review

Review Exercise

6 Integration

6-1 Antiderivatives and Indefinite Integrals

6-2 Integration by Substitution

6-3 Differential Equations; Growth and Decay

6-4 The Definite Integral

6-5 The Fundamental Theorem of Calculus

Chapter 6 Review

Review Exercise

7 Additional Integration Topics

7-1 Area between Curves

7-2 Applications in Business and Economics

7-3 Integration by Parts

7-4 Integration Using Tables

Chapter 7 Review

Review Exercise

8 Multivariable Calculus

8-1 Functions of Several Variables

8-2 Partial Derivatives

8-3 Maxima and Minima

8-4 Maxima and Minima Using Lagrange Multipliers

8-5 Method of Least Squares

8-6 Double Integrals over Rectangular Regions

8-7 Double Integrals over More General Regions

Chapter 8 Review

Review Exercise

9 Trigonometric Functions

9-1 Trigonometric Functions Review

9-2 Derivatives of Trigonometric Functions

9-3 Integration of Trigonometric Functions

Chapter 9 Review

Review Exercise

A Basic Algebra Review

Self-Test on Basic Algebra

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

Answers

Index

Applications Index

A Library of Elementary Functions

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