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

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  • Edition: 11th
  • Format: Hardcover
  • Copyright: 2008-01-01
  • Publisher: Prentice Hall
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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
Elementary Functions: Graphs and Transformations
Quadratic Functions
Exponential Functions
Logarithmic Functions
Review Review Exercise
Limits and the Derivative
Introduction to Limits
Infinite Limits and Limits at Infinity
The Derivative
Basic Differentiation Properties
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
Review Review Exercise
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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