Calculus for the Managerial, Life, and Social Sciences (with InfoTrac)

by Tan, Soo T.

• ISBN13: 9780534394110
• ISBN10: 0534394116
• Edition: 6th
• Format: Hardcover
• Copyright: 2002-08-21
• 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 mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Sixth Edition includes highly interesting current applications and exercises to help stimulate student motivation. An exciting new array of supplements provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.

Table of Contents

Preface	ix
Preliminaries	2	(47)
Precalculus Review I	3	(9)
Precalculus Review II	12	(12)
The Cartesian Coordinate System	24	(8)
Straight Lines	32	(17)
Chapter 1 Summary of Principal Formulas and Terms	47	(1)
Chapter 1 Review Exercises	47	(2)
Functions, Limits, and the Derivative	49	(111)
Function and Their Graphs	50	(19)
Using Technology: Graphing a Function	64	(5)
The Algebra of Functions	69	(9)
Portfolio: Michael Marchlik	74	(4)
Functions and Mathematical Models	78	(19)
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling	92	(5)
Limits	97	(21)
Using Technology: Finding the Limit of a Function	114	(4)
One-Sided Limits and Continuity	118	(18)
Using Technology: Finding the Points of Discontinuity of a Function	132	(4)
The Derivative	136	(24)
Using Technology: Graphing a Function and Its Tangent Line	152	(5)
Chapter 2 Summary of Principal Formulas and Terms	157	(1)
Chapter 2 Review Exercises	158	(2)
Differentiation	160	(90)
Basic Rules of Differentiation	161	(14)
Using Technology: Finding the Rate of Change of a Function	170	(5)
The Product and Quotient Rules	175	(13)
Using Technology: The Product and Quotient Rules	184	(4)
The Chain Rule	188	(13)
Using Technology: Finding the Derivative of a Composite Function	196	(5)
Marginal Functions in Economics	201	(14)
Higher-Order Derivatives	215	(9)
Using Technology: Finding the Second Derivative of a Function at a Given Point	222	(2)
Implicit Differentiation and Related Rates	224	(10)
Differentials	234	(16)
Portfolio: John Decker	236	(6)
Using Technology: Finding the Differential of a Function	242	(4)
Chapter 3 Summary of Principal Formula and Terms	246	(1)
Chapter 3 Review Exercises	247	(3)
Applications of the Derivative	250	(82)
Applications of the First Derivative	251	(20)
Using Technology: Using the First Derivative to Analyze a Function	266	(5)
Applications of the Second Derivative	271	(17)
Using Technology: Finding the Inflection Points of a Function	284	(4)
Curve Sketching	288	(15)
Using Technology: Analyzing the Properties of a Function	300	(3)
Optimization I	303	(15)
Using Technology: Finding the Absolute Extrema of a Function	314	(4)
Optimization II	318	(14)
Chapter 4 Summary of Principal Terms	329	(1)
Chapter 4 Review Exercises	330	(2)
Exponential and Logarithmic Functions	332	(65)
Exponential Functions	333	(8)
Using Technology	338	(3)
Logarithmic Functions	341	(8)
Compound Interest	349	(14)
Portfolio: Misato Nakazaki	361	(2)
Differentiation of Exponential Functions	363	(11)
Using Technology	370	(4)
Differentiation of Logarithmic Functions	374	(7)
Exponential Functions as Mathematical Models	381	(16)
Using Technology: Analyzing Mathematical Models	390	(5)
Chapter 5 Summary of Principal Formulas and Terms	395	(1)
Chapter 5 Review Exercises	395	(2)
Integration	397	(89)
Antiderivatives and the Rules of Integration	398	(14)
Integration by Substitution	412	(10)
Area and the Definite Integral	422	(10)
The Fundamental Theorem of Calculus	432	(10)
Using Technology: Evaluating Definite Integrals	441	(1)
Evaluating Definite Integrals	442	(12)
Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions	450	(4)
Area between Two Curves	454	(14)
Using Technology: Finding the Area between Two Curves	464	(4)
Applications of the Definite Integral to Business and Economics	468	(18)
Using Technology: Business and Economic Applications	481	(1)
Chapter 6 Summary of Principal Formulas and Terms	482	(1)
Chapter 6 Review Exercises	483	(3)
Additional Topics in Integration	486	(53)
Integration by Parts	487	(7)
Integration Using Tables of Integrals	494	(7)
Numerical Integration	501	(16)
Portfolio: James H. Chesebro	514	(3)
Improper Integrals	517	(9)
Applications of Probability to Calculus	526	(13)
Chapter 7 Summary of Principal Formulas and Terms	536	(1)
Chapter 7 Review Exercises	537	(2)
Calculus of Several Variables	539	(78)
Functions of Several Variables	540	(10)
Partial Derivatives	550	(15)
Using Technology: Finding Partial Derivatives at a Given Point	562	(3)
Maxima and Minima of Functions of Several Variables	565	(11)
The Method of Least Squares	576	(12)
Using Technology: Finding an Equation of a Least-Squares Line	584	(4)
Constrained Maxima and Minima and the Method of Lagrange Multipliers	588	(11)
Double Integrals	599	(18)
Chapter 8 Summary of Principal Formulas and Terms	614	(1)
Chapter 8 Review Exercises	614	(3)
Answers to Odd-Numbered Exercises	617	(38)
Index	655