	preface	xi
PART ONE	A LIBRARY OF ELEMENTARY FUNCTIONS	1
CHAPTER 1	A Beginning Library of Elementary Functions	3
	1-1 Introduction to Graphing Utilities	3
	1-2 Functions	18
	1-3 Elementary Functions: Graphs and Transformations	35
	1-4 Linear Functions and Straight Lines	47
	1-5 Quadratic Functions	64
	Chapter 1 Group Activity: Mathematical Modeling in Business	79
	Chapter 1 Review	80
CHAPTER 2	Additional Elementary Functions	87
	2-1 Polynomial and Rational Functions	87
	2-2 Exponential Functions	102
	2-3 Logarithmic Functions	116
	2-4 Modeling Data Using Regression Techniques	129
	Chapter 2 Group Activity: Profit and Loss Analysis	137
	Chapter 2 Review	138
PART TWO	FINITE MATHEMATICS	143
CHAPTER 3	Mathematics of Finance	145
	3-1 Simple Interest	145
	3-2 Compound Interest	151
	3-3 Future Value of an Annuity; Sinking Funds	165
	3-4 Present Value of an Annuity; Amortization	175
	Chapter 3 Group Activity: Reducing Interest Payments on a Home Mortgage	187
	Chapter 3 Review	187
CHAPTER 4	Systems of Linear Equations; Matrices	191
	4-1 Review: Systems of Linear Equations in Two Variables	191
	4-2 Systems of Linear Equations and Augmented Matrices	206
	4-3 Gauss–Jordan Elimination	215
	4-4 Matrices: Basic Operations	230
	4-5 Inverse of a Square Matrix	244
	4-6 Matrix Equations and Systems of Linear Equations	255
	4-7 Leontief Input–Output Analysis	267
	Chapter 4 Group Activity: Using Matrices to Find Cost, Revenue, and Profit	276
	Chapter 4 Review	277
CHAPTER 5	Linear Inequalities and Linear Programming	281
	5-1 Systems of Linear Inequalities in Two Variables	281
	5-2 Linear Programming in Two Dimensions—A Geometric Approach	296
	5-3 A Geometric Introduction to the Simplex Method	311
	5-4 The Simplex Method: Maximization with Problem Constraints of the Form	320
	5-5 The Dual; Minimization with Problem Constraints of the Form	341
	5-6 Maximization and Minimization with Mixed Problem Constraints	358
	Chapter 5 Group Activity: The Two-Phase Method (An Alternative to the Big M Method)	378
	Chapter 5 Review	381
CHAPTER 6	Probability	385
	6-1 Basic Counting Principles	386
	6-2 Permutations and Combinations	396
	6-3 Sample Spaces, Events, and Probability	410
	6-4 Union, Intersection, and Complement of Events; Odds	424
	6-5 Conditional Probability, Intersection, and Independence	440
	6-6 Bayes' Formula	458
	6-7 Random Variable, Probability Distribution, and Expectation	467
	Chapter 6 Group Activity: Car and Crying Towels	477
	Chapter 6 Review	479
CHAPTER 7	Markov Chains	485
	7-1 Properties of Markov Chains	485
	7-2 Regular Markov Chains	500
	7-3 Absorbing Markov Chains	512
	Chapter 7 Group Activity: Using Markov Chains to Model Games	530
	Chapter 7 Review	531
CHAPTER 8	The Derivative	540
	8-1 Rate of Change and Slope	540
	8-2 Limits	554
	8-3 The Derivative	577
	8-4 Derivatives of Constants, Power Forms, and Sums	593
	8-5 Derivatives of Products and Quotients	608
	8-6 Chain Rule: Power Form	617
	8-7 Marginal Analysis in Business and Economics	627
	Chapter 8 Group Activity: Minimal Average Cost	639
	Chapter 8 Review	641
CHAPTER 9	Graphing and Optimization	647
	9-1 Continuity and Graphs	648
	9-2 First Derivative and Graphs	667
	9-3 Second Derivative and Graphs	687
	9-4 Graphical Analysis: Unified and Extended	704
	9-5 Optimization; Absolute Maxima and Minima	725
	Chapter 9 Group Activity: Maximizing Profit	739
	Chapter 9 Review	740
CHAPTER 10	Additional Derivative Topics	745
	10-1 The Constant e and Continuous Compound Interest	745
	10-2 Derivatives of Logarithmic and Exponential Functions	753
	10-3 Chain Rule: General Form	767
	10-4 Implicit Differentiation	779
	10-5 Related Rates	787
	Chapter 10 Group Activity: Elasticity of Demand	795
	Chapter 10 Review	796
CHAPTER 11	Integration	799
	11-1 Antiderivatives and Indefinite Integrals	799
	11-2 Integration by Substitution	815
	11-3 Differential Equations—Growth and Decay	828
	11-4 A Geometric–Numeric Introduction to the Definite Integral	841
	11-5 Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus	858
	Chapter 11 Group Activity: Simpson's Rule	882
	Chapter 11 Review	886
CHAPTER 12	Additional Integration Topics	893
	12-1 Area between Curves	893
	12-2 Applications in Business and Economics	905
	12-3 Integration by Parts	919
	12-4 Integration Using Tables	926
	Chapter 12 Group Activity: Analysis of Income Concentration from Raw Data	934
	Chapter 12 Review	935
CHAPTER 13	Multivariable Calculus	939
	13-1 Functions of Several Variables	939
	13-2 Partial Derivatives	950
	13-3 Maxima and Minima	959
	13-4 Maxima and Minima Using Lagrange Multipliers	969
	13-5 Method of Least Squares	980
	13-6 Double Integrals Over Rectangular Regions	992
	Chapter 13 Group Activity: Double Integrals Over More General Regions	1003
	Chapter 13 Review	1004
CHAPTER 14	Differential Equations	1009
	14-1 Basic Concepts	1009
	14-2 Separation of Variables	1021
	14-3 First-Order Linear Differential Equations	1034
	Chapter 14 Group Activity: Euler's Method	1047
	Chapter 14 Review	1051
APPENDIX A	Tables	1055
	Table I Basic Geometric Formulas	1055
	Table II Integration Formulas	1058
	Answers	A-1
	Index	I-1
	Applications Index	Inside back cover
	The following material is not included in this book, but is available from the publisher.
CHAPTER A	Data Description and Probability Distributions
	A-1 Graphing Data
	A-2 Graphing Quantitative Data
	A-3 Measures of Central Tendency
	A-4 Measures of Dispersion
	A-5 Bernoulli Trials and Binomial Distributions
	A-6 Normal Distributions
	Chapter A Group Activity: Analysis of Data on Student Lifestyle
	Chapter A Review

Problems or Suggestions?
Order Information
[ Legal Statement ]