Calculus for the Managerial, Life, and Social Sciences, Enhanced Review Edition (with CD-ROM and iLrn™ Tutorial, Personal Tutor Printed Access Card)

by Tan, Soo T.

• ISBN13: 9780495384304
• ISBN10: 0495384305
• Additional ISBN(s): 9780495387541, 9780534419868
• Edition: 7th
• Format: Paperback
• Copyright: 2007-05-16
• Publisher: Brooks Cole
• More Book Details
• Purchase Benefits

Summary

In the market-leading CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accurate, accessible presentation of calculus combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Seventh Edition includes highly interesting current applications and exercises to help stimulate student motivation. An exciting new array of supplements, including iLrn Tutorial and the Interactive Video Skillbuilder CD-ROM, provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.

Table of Contents

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

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