Calculus for Business, Economics, Life Sciences and Social Sciences

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

• ISBN13: 9780131432611
• ISBN10: 0131432613
• 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. Coverage concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving. Chapter topics include The Derivative; Graphing and Optimization; Integration; Multivariable Calculus; Trigonometric Functions; and more. 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

(Each chapter concludes with Important Terms, Symbols, and Concepts; Review Exercise; and Group Activities.)

A Library of Elementary Functions

A Beginning Library of Elementary Functions

Functions

Elementary Functions: Graphs and Transformations

Linear Functions and Straight Lines

Quadratic Functions

Introduction to Regression Analysis

Mathematical Modeling in Business

Additional Elementary Functions

Polynomial and Rational Functions

Exponential Functions

Logarithmic Functions

Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions

Comparing Regression Models

Calculus

The Derivative

Introduction to Limits

Limits and Continuity

The Derivative

Derivative of Constants, Power Forms, and Sums

Derivatives of Products and Quotients

Chain Rule: Power Form

Marginal Analysis in Business and Economics

Minimal Average Cost

Numerical Differentiation on a Graphing Utility

Graphing and Optimization

First Derivative and Graphs

Second Derivative and Graphs

Curve Sketching Techniques; Unified and Extended

Optimization; Absolute Maxima and Minima

Maximizing Profit

Minimizing Construction Costs

Additional Derivative Topics

The Constant e and Continuous Compound Interest

Derivatives of Logarithmic and Exponential Functions

Chain Rule: General Form

Implicit Differentiation

Related Rates

Elasticity of Demand

Point of Diminishing Returns

Integration

Antiderivatives and Indefinite Integrals

Integration by Substitution

Differential Equations; Growth and Decay

The Definite Integral

The Fundamental Theorem of Calculus

Simpson's Rule

Bell-Shaped Curves

Additional Integration Topics

Area Between Curves

Applications in Business and Economics

Integration by Parts

Integration Using Tables

Analysis of Income Concentration from Raw Data

Grain Exchange

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

City Planning

Numerical Integration of Multivariable Functions

Trigonometric Functions

Trigonometric Functions Review

Derivatives of Trigonometric Functions

Integrations of Trigonometric Functions

Seasonal Business Cycles

Heating Degree Days

Basic Algebra Review

Special Topics

Tables

Table of Contents provided by Publisher. All Rights Reserved.