Calculus : For Business, Economics, Life Sciences, and Social Sciences

by Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

• ISBN13: 9780132328180
• ISBN10: 0132328186
• Edition: 11th
• Format: Hardcover
• Copyright: 2008-01-01
• Publisher: Prentice Hall

Summary

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.

Table of Contents

A Library of Elementary Functions

Linear Equations and Graphs

Linear Equations and Inequalities

Graphs and Lines

Linear Regression

Review Review Exercise

Functions and Graphs

Functions

Elementary Functions: Graphs and Transformations

Quadratic Functions

Exponential Functions

Logarithmic Functions

Review Review Exercise

Calculus

Limits and the Derivative

Introduction to Limits

Continuity

Infinite Limits and Limits at Infinity

The Derivative

Basic Differentiation Properties

Differentials

Marginal Analysis in Business and Economics

Review Review Exercise

Additional Derivative Topics

The Constant e and Continuous Compound Interest

Derivatives of Exponential and Logarithmic Functions

Derivatives of Products and Quotients

The Chain Rule

Implicit Differentiation

Related Rates

Elasticity of Demand

Review Review Exercise

Graphing and Optimization

First Derivative and Graphs

Second Derivative and Graphs

LHopitals Rule

Curve-Sketching Techniques

Absolute Maxima and Minima

Optimization

Review Review Exercise

Integration

Antiderivatives and Indefinite Integrals

Integration by Substitution

Differential Equations; Growth and Decay

The Definite Integral

The Fundamental Theorem of Calculus

Review Review Exercise

Additional Integration Topics

Area between Curves

Applications in Business and Economics

Integration by Parts

Integration Using Tables

Review Review Exercise

Multivariable Calculus

Functions of Several Variables

Partial Derivatives

Maxima and Minima

Maxima and Minima Using Lagrange Multipliers

Method of Least Squares

Double Integrals over Rectangular Regions

Double Integrals over More General Regions

Review Review Exercise

Trigonometric Functions

Trigonometric Functions Review

Derivatives of Trigonometric Functions

Integration of Trigonometric Functions

Review Review Exercise

Basic Algebra Review Self-Test on Basic Algebra

Algebra and Real Numbers

Operations on Polynomials

Factoring Polynomials

Operations on Rational Expressions

Integer Exponents and Scientific Notation

Rational Exponents and Radicals

Quadratic Equations

Special Topics

Sequences, Series, and Summation Notation

Arithmetic and Geometric Sequences

Binomial Theorem C Tables Table I Ba

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