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

by Tan, Soo T.

• ISBN13: 9780534419868
• ISBN10: 0534419860
• Edition: 7th
• Format: Hardcover
• Copyright: 2005-01-03
• Publisher: Brooks Cole

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

Preface	x
Preliminaries	1	(48)
Precalculus Review I	2	(9)
Precalculus Review II	11	(12)
The Cartesian Coordinate System	23	(8)
Straight Lines	31	(18)
Chapter 1 Summary of Principal Formulas and Terms	46	(1)
Chapter 1 Concept Review Questions	46	(1)
Chapter 1 Review Exercises	47	(1)
Chapter 1 Before Moving On	48	(1)
Functions, Limits, and the Derivative	49	(110)
Functions and Their Graphs	50	(18)
Using Technology: Graphing a Function	64	(4)
The Algebra of Functions	68	(8)
Functions and Mathematical Models	76	(21)
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling	93	(4)
Limits	97	(22)
Using Technology: Finding the Limit of a Function	116	(3)
One-Sided Limits and Continuity	119	(16)
Using Technology: Finding the Points of Discontinuity of a Function	132	(3)
Derivative	135	(24)
Using Technology: Graphing a Function and Its Tangent Line	152	(3)
Chapter 2 Summary of Principal Formulas and Terms	155	(1)
Chapter 2 Concept Review Questions	155	(1)
Chapter 2 Review Exercises	156	(2)
Chapter 2 Before Moving On	158	(1)
Differentiation	159	(88)
Basic Rules of Differentiation	160	(14)
Using Technology: Finding the Rate of Change of a Function	171	(3)
The Product and Quotient Rules	174	(11)
Using Technology: The Product and Quotient Rules	183	(2)
The Chain Rule	185	(12)
Using Technology: Finding the Derivative of a Composite Function	196	(1)
Marginal Functions in Economics	197	(15)
Higher-Order Derivatives	212	(9)
Portfolio: Steve Regenstreif	213	(8)
Using Technology: Finding the Second Derivative of a Function at a Given Point
Implicit Differentiation and Related Rates	221	(11)
Differentials	232	(15)
Using Technology: Finding the Differential of a Function	240	(2)
Chapter 3 Summary of Principal Formulas and Terms	242	(1)
Chapter 3 Concept Review Questions	243	(1)
Chapter 3 Review Exercises	243	(2)
Chapter 3 Before Moving On	245	(2)
Applications of the Derivative	247	(84)
Applications of the First Derivative	248	(19)
Using Technology: Using the First Derivative to Analyze a Function	264	(3)
Applications of the Second Derivative	267	(18)
Using Technology: Finding the Inflection Points of a Function	283	(2)
Curve Sketching	285	(15)
Using Technology: Analyzing the Properties of a Function	298	(2)
Optimization I	300	(15)
Using Technology: Finding the Absolute Extrema of a Function	313	(2)
Optimization II	315	(16)
Chapter 4 Summary of Principal Terms	327	(1)
Chapter 4 Concept Review Questions	327	(1)
Chapter 4 Review Exercises	328	(2)
Chapter 4 Before Moving On	330	(1)
Exponential and Logarithmic Functions	331	(64)
Exponential Functions	332	(7)
Using Technology	338	(1)
Logarithmic Functions	339	(8)
Compound Interest	347	(13)
Differentiation of Exponential Functions	360	(10)
Portfolio: Robert Derbenti	361	(9)
Using Technology	370	(1)
Differentiation of Logarithmic Functions	371	(8)
Exponential Functions as Mathematical Models	379	(16)
Using Technology: Analyzing Mathematical Models	389	(3)
Chapter 5 Summary of Principal Formulas and Terms	392	(1)
Chapter 5 Concept Review Questions	392	(1)
Chapter 5 Review Exercises	393	(1)
Chapter 5 Before Moving On	394	(1)
Integration	395	(88)
Antiderivatives and the Rules of Integration	396	(14)
Integration by Substitution	410	(10)
Area and the Definite Integral	420	(9)
The Fundamental Theorem of Calculus	429	(12)
Using Technology: Evaluating Definite Integrals	440	(1)
Evaluating Definite Integrals	441	(11)
Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions	450	(2)
Area between Two Curves	452	(12)
Using Technology: Finding the Area between Two Curves	463	(1)
Applications of the Definite Integral to Business and Economics	464	(19)
Using Technology: Business and Economic Applications	476	(2)
Chapter 6 Summary of Principal Formulas and Terms	478	(1)
Chapter 6 Concept Review Questions	479	(1)
Chapter 6 Review Exercises	479	(3)
Chapter 6 Before Moving On	482	(1)
Additional Topics in Integration	483	(54)
Integration by Parts	484	(7)
Integration Using Tables of Integrals	491	(7)
Numerical Integration	498	(15)
Improper Integrals	513	(9)
Applications of Calculus to Probability	522	(15)
Portfolio: Gary Li	530	(3)
Chapter 7 Summary of Principal Formulas and Terms	533	(1)
Chapter 7 Concept Review Questions	534	(1)
Chapter 7 Review Exercises	534	(2)
Chapter 7 Before Moving On	536	(1)
Calculus of Several Variables	537	(74)
Functions of Several Variables	538	(9)
Partial Derivatives	547	(14)
Using Technology: Finding Partial Derivatives at a Given Point	560	(1)
Maxima and Minima of Functions of Several Variables	561	(11)
Portfolio: Kirk Hoiberg	564	(8)
The Method of Least Squares	572	(11)
Using Technology: Finding an Equation of a Least-Squares Line	581	(2)
Constrained Maxima and Minima and the Method of Lagrange Multipliers	583	(11)
Double Integrals	594	(17)
Chapter 8 Summary of Principal Formulas and Terms	608	(1)
Chapter 8 Concept Review Questions	608	(1)
Chapter 8 Review Exercises	609	(1)
Chapter 8 Before Moving On	610	(1)
Appendix Inverse Functions	611	(8)
Answers to Odd-Numbered Exercises	619	(42)
Index	661