Calculus for the Managerial, Life and Social Sciences

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ISBN: 9780534365868 | 0534365868
Cover: Hardcover
Copyright: 1/24/2000

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In the Fifth Edition of CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, author Soo Tan builds on the features that have made his texts market leaders - a real-life, problem-solving approach coupled with a concise writing style, a wealth of interesting and illustrative applications to help students understand the material, and technology coverage that is integrated, but optional, throughout the text. Tan is well known for his ability to present quantitative techniques in an intuitive and accessible yet accurate manner.

Preliminaries
Precalculus Review I
Precalculus Review II
The Cartesian Coordinate System
Straight Lines
Summary of Principal Formulas and Terms
Review Exercises
Functions, Limits, And The Derivative
Functions and Their Graphs
Using Technology: Graphing a Function
The Algebra of Functions
Portfolio
Functions and Mathematical Models
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling
Limits
Using Technology: Finding the Limit of a Function
One-Sided Limits and Continuity
Using Technology: Finding the Points of Discontinuity of a Function
The Derivative
Using Technology: Graphing a Function and Its Tangent Line
Summary of Principal Formulas and Terms
Review Exercises
Differentiation
Basic Rules of Differentiation
Using Technology: Finding the Rate of Change of a Function
The Product and Quotient Rules
Using Technology: The Product and Quotient Rules
The Chain Rule
Using Technology: Finding the Derivative of a Composite Function
Marginal Functions in Economics
Higher-Order Derivatives
Using Technology: Finding the Second Derivative of a Function at a Given Point
Implicit Differentiation and Related Rates
Differentials
Portfolio
Using Technology: Finding the Differential of a Function
Summary of Principal Formulas and Terms
Review Exercises
Applications Of The Derivative
Applications of the First Derivative
Using Technology: Using the First Derivative to Analyze a Function
Applications of the Second Derivative
Using Technology: Finding the Inflection Points of a Function
Curve Sketching
Using Technology: Analyzing the Properties of a Function
Optimization I
Using Technology: Finding the Absolute Extrema of a Function
Optimization II
Summary of Principal Terms
Review Exercises
Exponential and Logarithmic Functions
Exponential Functions
Using Technology
Logarithmic Functions
Compound Interest
Portfolio
Differentiation of Exponential Functions
Using Technology
Differentiation of Logarithmic Functions
Exponential Functions as Mathematical Models
Using Technology: Analyzing Mathematical Models
Summary of Principal Formulas and Terms
Review Exercises
Integration
Antiderivatives and the Rules of Integration
Integration by Substitution
Area and the Definite Integral
The Fundamental Theorem of Calculus
Using Technology: Evaluating Definite Integrals
Evaluating Definite Integrals
Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions
Area between Two Curves
Using Technology: Finding the Area between Two Curves
Applications of the Definite Integral to Business and Economics
Using Technology: Consumers' Surplus and Producers' Surplus
Summary of Principal Formulas and Terms
Review Exercises
Additional Topics in Integration
Integration by Parts
Integration Using Tables of Integrals
Numerical Integration
Portfolio
Improper Integrals
Applications of Probability to Calculus
Summary of Principal Formulas and Terms
Review Exercises
Calculus of Several Variables
Functions of Several Variables
Partial Derivatives
Using Technology: Finding Partial Derivatives at a Given Point
Maxima and Minima of Functions of Several Variables
The Method of Least Squares
Using Technology: Finding an Equation of a Least-Squares Line
Constrained Maxima and Minima and the Method of Lagrange Multipliers
Double Integrals
Summary of Principal Terms
Review Exercises
Answers to Odd-Numbered Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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Calculus for the Managerial, Life and Social Sciences

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Table of Contents

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