	Preface	ix
PART ONE	Preliminaries	1
CHAPTER 1	Basic Algebraic Operations	3
	1-1 Sets	4
	1-2 Algebra and Real Numbers	11
	1-3 Basic Operations on Polynomials	20
	1-4 Factoring Polynomials	28
	1-5 Basic Operations on Rational Expressions	34
	1-6 Integer Exponents and Square Root Radicals	41
	1-7 Rational Exponents and Radicals	49
	Chapter 1 Review	56
CHAPTER 2	Equations, Graphs, and Functions	61
	2-1 Linear Equations and Inequalities in One Variable	62
	2-2 Quadratic Equations	73
	2-3 Cartesian Coordinate System and Straight Lines	81
	2-4 Functions	95
	2-5 Linear and Quadratic Functions	109
	Chapter 2 Review	122
CHAPTER 3	Exponential and Logarithmic Functions	127
	3-1 Exponential Functions	128
	3-2 The Exponential Function with Base e	137
	3-3 Logarithmic Functions	145
	3-4 Chapter Review	158
PART TWO	FINITE MATHEMATICS	163
CHAPTER 4	Mathematics of Finance	165
	3-1 Simple Interest	166
	3-2 Compound Interest	172
	3-3 Future Value of an Annuity; Sinking Funds	184
	3-4 Present Value of an Annuity; Amortization	192
	Chapter 3 Review	205
CHAPTER 5	Systems of Linear Equations; Matrices	211
	5-1 Review: Systems of Linear Equations in Two Variables	212
	5-2 Systems of Linear Equations and Augmented Matrices	225
	5-3 Gauss–Jordan Elimination	234
	5-4 Matrices–Addition and Multiplication by a Number	248
	5-5 Matrix Multiplication	255
	5-6 Inverse of a Square Matrix	265
	5-7 Matrix Equations and Systems of Linear Equations	276
	5-8 Chapter Review	288
CHAPTER 6	Linear Inequalities and Linear Programming	293
	6-1 Systems of Linear Inequalities in Two Variables	294
	6-2 Linear Programming in Two Dimensions—A Geometric Approach	307
	6-3 A Geometric Introduction to the Simplex Method	326
	6-4 The Simplex Method: Maximization with Problem Constraints of the Form ¾	336
	6-5 Chapter Review	358
CHAPTER 7	Probability	363
	7-1 Basic Counting Principles	365
	7-2 Permutations and Combinations	376
	7-3 Sample Spaces, Events	390
	7-4 Empirical Probability	406
	7-5 Random Variable, Probability Distribution, and Expectation	415
	7-6 Chapter Review	426
CHAPTER 8	Additional Topics in Probability	433
	8-1 Union, Intersection, and Complement of Events; Odds	433
	8-2 Conditional Probability, Intersection, and Independence	451
	8-3 Bayes' Formula	470
	8-4 Chapter Review	480
PART THREE	CALCULUS	485
CHAPTER 9	The Derivative	487
	9-1 Limits and Continuity—A Geometric Introduction	489
	9-2 Computation of Limits	508
	9-3 The Derivative	524
	9-4 Derivatives of Constants, Power Forms, and Sums	538
	9-5 Derivatives of Products and Quotients	551
	9-6 Chain Rule: Power Form	560
	9-7 Marginal Analysis in Business and Economics	568
	9-8 Chapter Review	579
CHAPTER 10	Additional Derivative Topics	587
	10-1 First Derivative and Graphs	588
	10-2 Second Derivative and Graphs	605
	10-3 Curve Sketching Techniques: Unified and Extended	619
	10-4 Optimization; Absolute Maxima and Minima	636
	10-5 The Constant e and Continuous Compound Interest	655
	10-6 TDerivatives of Logarithmic and Exponential Functions	664
	10-7 Chain Rule: General Form	675
	10-8 Chapter Review	686
CHAPTER 11	Integration	693
	11-1 Antiderivatives and Indefinite Integrals	694
	11-2 Integration by Substitution	708
	11-3 Definite Integrals	720
	11-4 Area and the Definite Integral	732
	11-5 Definite Integral as a Limit of a Sum	745
	11-6 Consumers' and Producers' Surplus	760
	11-7 Chapter Review	768
APPENDIX A	Special Topics	A1
	A-1 Sequences, Series, and Summation Notation	A2
	A-2 Arithmetic Progressions	A10
	A-3 Geometric Progressions	A14
	A-4 The Binomial Theorem	A20
APPENDIX B	Tables	A25
	Table I Basic Geometric Formulas	A26
	Table II Mathematics of Finance	A28
	Answers	A45
	Index	I1
	Applications Index	Inside front cover

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