Applied Calculus for the Managerial, Life, and Social Sciences A Brief Approach

by Tan, Soo T.

• ISBN13: 9780538498906
• ISBN10: 0538498900
• Edition: 9th
• Format: Hardcover
• Copyright: 2011-01-01
• Publisher: Brooks Cole

Summary

Market-leading APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES: A BRIEF APPROACH, Ninth Edition, applies math to your world in fun and interesting ways. It delivers just the right balance of teaching, technology, and enlightening real-life examples. And when it comes to study time, the Ninth Edition offers an exciting array of supplements that maximize your efforts and improve your results.

Table of Contents

Preface

Preliminaries

Precalculus Review

PrecalculusReview II

The Cartesian Coordinate System

Straight Lines

Summary of Principal Formulas and Terms

Concept Review Questions

Review Exercises

Before Moving On

Functions, Limits, And The Derivative

Functions and Their Graphs

The Algebra of Functions

Functions and Mathematical Models

Portfolio

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

Concept Review Questions

Review Exercises

Before Moving On

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

Using Technology: Finding the Differential of a Function

Summary of Principal Formulas and Terms

Concept Review Questions

Review Exercises

Before Moving On

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 Optimization

UsingTechnology: Finding the Absolute Extrema of a Function

Optimization II

Summary of Principal Terms

Concept Review Questions

Review Exercises

Before Moving On

Exponential And Logarithmic Functions

Exponential Functions

Using Technology

Logarithmic Functions

Compound IntereSt. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment

Differentiation of Exponential Functions

Using Technology

Differentiation of Logarithmic Functions

Exponential Functions as Mathematical Models

Portfolio

Using Technology: Analyzing Mathematical Models

Summary of Principal Formulas and Terms

Concept Review Questions

Review Exercises

Before Moving On

Integration

Antiderivatives and the Rules of Integration

Integration by Substitution

Area and the Definite Integral

The Fundamental Theorem of Calculus

Portfolio

Using Technology: Evaluating Definite Integrals

Evaluating Definite Integrals

Using Technology: Evaluating 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: Business and Economic Applications/Technology Exercises

Summary of Principal Formulas and Terms

Concept Review Questions

Review Exercises

Before Moving On

Additional Topics In Integration

Integration by Parts

Integration Using Tables of Integrals

Numerical Integration

Improper Integrals

Applications of Calculus to Probability

Summary of Principal Formulas and Terms

Concept Review Questions

Review Exercises

Before Moving On

Calculus Of Several Variables

Functions of Several Variables

Partial Derivatives

Portfolio

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 Least-Squares Line

Constrained Maxima and Minima and the Method of Lagrange Multipliers

Double Integrals

Summary of Principal Formulas and Terms

Concept Review Questions

Review Exercises

Before Moving On

The Inverse of a Function

The Graphs of Inverse Functions

Functions That Have Inverses

Finding the Inverse of a Function

Indeterminant Forms and l'H?pital's Rule

The Indeterminant Forms 0/0 and 8/8

Index

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