9780131432611

Calculus for Business, Economics, Life Sciences and Social Sciences

by ; ;
  • ISBN13:

    9780131432611

  • ISBN10:

    0131432613

  • Edition: 11th
  • Format: Hardcover
  • Copyright: 1/1/2008
  • Publisher: Prentice Hall
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List Price: $153.33

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.

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