Includes index.

Front Cover; Mathematics with Applications for the Management, Life, and Social Sciences; Copyright Page; Table of Contents; PREFACE; NEW FEATURES IN THE SECOND EDITION; ACKNOWLEDGMENTS; CHAPTER ONE. SET THEORY; 1.1 INTRODUCTION TO SETS; 1.2 UNION AND INTERSECTION OF SETS; 1.3 COMPLEMENTATION AND CARTESIAN PRODUCT OF SETS; KEY IDEAS FOR REVIEW; CHAPTER TWO. COORDINATE SYSTEMS AND GRAPHS; 2.1 COORDINATE SYSTEMS; 2.2 THE STRAIGHT LINE; 2.3 LINEAR SYSTEMS OF TWO EQUATIONS IN TWO UNKNOWNS; 2.4 APPLICATIONS OF LINEAR EQUATIONS; 2.5 LINEAR INEQUALITIES AND THEIR GRAPHS; KEY IDEAS FOR REVIEW. CHAPTER THREE. LINEAR PROGRAMMING (A GEOMETRIC APPROACH)3.1 WHAT IS LINEAR PROGRAMMING?; 3.2 SOLVING LINEAR PROGRAMMING PROBLEMS GEOMETRICALLY; KEY IDEAS FOR REVIEW; CHAPTER FOUR. MATRICES AND LINEAR SYSTEMS; 4.1 LINEAR SYSTEMS; 4.2 GAUSS-JORDAN ELIMINATION; 4.3 MATRICES; MATRIX ADDITION AND SCALAR MULTIPLICATION; 4.4 MATRIX MULTIPLICATION; 4.5 INVERSE OF MATRICES; KEY IDEAS FOR REVIEW; CHAPTER FIVE. LINEAR PROGRAMMING (AN ALGEBRAIC APPROACH); 5.1 INTRODUCTION; SLACK VARIABLES; 5.2 THE KEY IDEAS OF THE SIMPLEX METHOD; 5.3 THE SIMPLEX METHOD; 5.4 NONSTANDARD LINEAR PROGRAMMING PROBLEMS. DUALITY (OPTIONAL)KEY IDEAS FOR REVIEW; CHAPTER SIX. COUNTING TECHNIQUES; PERMUTATIONS AND COMBINATIONS; 6.1 COUNTING ELEMENTS IN SETS; 6.2 PERMUTATIONS AND COMBINATIONS; KEY IDEAS FOR REVIEW; CHAPTER SEVEN. PROBABILITY; 7.1 INTRODUCTION; SAMPLE SPACE AND EVENTS; 7.2 PROBABILITY MODELS FOR FINITE SAMPLE SPACES; 7.3 BASIC THEOREMS OF PROBABILITY; 7.4 SOLVING PROBABILITY PROBLEMS; 7.5 CONDITIONAL PROBABILITY; INDEPENDENCE; 7.6 BAYES' FORMULA (OPTIONAL); KEY IDEAS FOR REVIEW; CHAPTER EIGHT. STATISTICS; 8.1 INTRODUCTION; RANDOM VARIABLES; 8.2 EXPECTED VALUE OF A RANDOM VARIABLE. 8.3 VARIANCE OF A RANDOM VARIABLE8.4 CHEBYSHEV'S INEQUALITY; APPLICATIONS OF MEAN AND VARIANCE (OPTIONAL); 8.5 BINOMIAL RANDOM VARIABLES; 8.6 THE NORMAL APPROXIMATION TO THE BINOMIAL; 8.7 HYPOTHESIS TESTING; THE CHI-SQUARE TEST; KEY IDEAS FOR REVIEW; CHAPTER NINE. APPLICATIONS; 9.1 APPLICATIONS OF PROBABILITY AND EXPECTED VALUE TO LIFE INSURANCE AND MORTALITY; 9.2 INTRODUCTION TO GAME THEORY AND APPLICATIONS; 9.3 GAMES WITH MIXED STRATEGIES; 9.4 AN APPLICATION OF PROBABILITY TO GENETICS; THE HARDY-WEINBERG STABILITY PRINCIPLE. 9.5 AN APPLICATION OF CONDITIONAL PROBABILITY TO MEDICAL DIAGNOSIS9.6 MARKOV CHAINS AND APPLICATIONS; KEY IDEAS FOR REVIEW; CHAPTER 10. MATHEMATICS OF FINANCE; 10.1 SIMPLE AND COMPOUND INTEREST; 10.2 EFFECTIVE RATE OF INTEREST; SIMPLE DISCOUNT; 10.3 ANNUITIES AND SINKING FUNDS; 10.4 PRESENT VALUE; 10.5 MORTGAGES AND AMORTIZATION SCHEDULES ; KEY IDEAS FOR REVIEW; CHAPTER 11. FUNCTIONS, LIMITS, AND RATES OF CHANGE; 11.1 INTRODUCTION; 11.2 FUNCTIONS; 11.3 LIMITS; 11.4 CONTINUITY; 11.6 AVERAGE AND INSTANTANEOUS RATE OF CHANGE; KEY IDEAS FOR REVIEW; CHAPTER 12. THE DERIVATIVE; 12.1 THE DERIVATIVE.