Cover image for Calculus for business, economics, life sciences, and social sciences
Calculus for business, economics, life sciences, and social sciences
Barnett, Raymond A.
Personal Author:
Eighth edition.
Publication Information:
Upper Saddle River, N.J. : Prentice Hall, [1999]

Physical Description:
xvi, 676 pages, 66 pages, 7 pages : illustrations (some color) ; 26 cm
General Note:
Includes indexes.
Format :


Call Number
Material Type
Home Location
Item Holds
QA303 .B2828 1999 Adult Non-Fiction Central Closed Stacks

On Order



This text covers calculus with an emphasis on cross-discipline principles and practices. Designed to be both student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on concepts and ideas, followed immediately by the development of computational skills and problem-solving.* NEW - Contains over 250 numbered worked examples, many with lettered parts, significantly increasing the total number of worked examples. * Illustrates each concept with one or more examples and follows each example with a parallel or matched problem and answer, allowing immediate self-assessment and reinforcement. * NEW - Strengthens emphasis on exploration and discussion in all drill problems and application exercises. * NEW - Features optional examples and exercises illustrating the use of regression techniques to analyze real data, including both graphing calculator and spreadsheet output. * NEW - Contains more optional technology examples and exercises, especially those using real data. * NEW - Closes chapters with two group activities, one of the two involving technology. * NEW - R

Table of Contents

(Each chapter concludes with Important Terms, Symbols, and Concepts; Review Exercise; and Group Activities.)
Part One A Library of Elementary Functions
Chapter 1 A Beginning Library of Elementary Functions
1-1 Functions
1-2 Elementary Functions: Graphs and Transformations
1-3 Linear Functions and Straight Lines
1-4 Quadratic Functions
Group Activity 1 Introduction to Regression Analysis
Group Activity 2 Mathematical Modeling in Business
Chapter 2 Additional Elementary Functions
2-1 Polynomial and Rational Functions
2-2 Exponential Functions
2-3 Logarithmic Functions
Group Activity 1 Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions
Group Activity 2 Comparing Regression Models
Part Two Calculus
Chapter 3 The Derivative
3-1 Introduction to Limits
3-2 Limits and Continuity
3-3 The Derivative
3-4 Derivative of Constants, Power Forms, and Sums
3-5 Derivatives of Products and Quotients
3-6 Chain Rule: Power Form
3-7 Marginal Analysis in Business and Economics
Group Activity 1 Minimal Average Cost
Group Activity 2 Numerical Differentiation on a Graphing Utility
Chapter 4 Graphing and Optimization
4-1 First Derivative and Graphs
4-2 Second Derivative and Graphs
4-3 Curve Sketching Techniques; Unified and Extended
4-4 Optimization; Absolute Maxima and Minima
Group Activity 1 Maximizing Profit
Group Activity 2 Minimizing Construction Costs
Chapter 5 Additional Derivative Topics
5-1 The Constant e and Continuous Compound Interest
5-2 Derivatives of Logarithmic and Exponential Functions
5-3 Chain Rule: General Form
5-4 Implicit Differentiation
5-5 Related Rates
Group Activity 1 Elasticity of Demand
Group Activity 2 Point of Diminishing Returns
Chapter 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
Group Activity 1 Simpson's Rule
Group Activity 2 Bell-Shaped Curves
Chapter 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
Group Activity 1 Analysis of Income Concentration from Raw Data
Group Activity 2 Grain Exchange
Chapter 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
Group Activity 1 City Planning
Group Activity 2 Numerical Integration of Multivariable Functions
Chapter 9 Trigonometric Functions
9-1 Trigonometric Functions Review
9-2 Derivatives of Trigonometric Functions
9-3 Integrations of Trigonometric Functions
Group Activity 1 Seasonal Business Cycles
Group Activity 2 Heating Degree Days
Appendix A Basic Algebra Review
Appendix B Special Topics
Appendix C Tables