Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences
PART ONE A LIBRARY OF ELEMENTARY FUNCTIONS CHAPTER 1 Linear Equations and Graphs 1-1 Linear Equations and Inequalities 1-2 Graphs and Lines 1-3 Linear Regression Chapter 1 Review Review Exercise CHAPTER 2 Functions and Graphs 2-1 Functions 2-2 Elementary Functions: Graphs and Transformations 2-3 Quadratic Functions 2-4 Exponential Functions 2-5 Logarithmic Functions Chapter 2 Review Review Exercise PART TWO FINITE MATHEMATICS CHAPTER 3 Mathematics of Finance 3-1 Simple Interest 3-2 Compound and Continuous Compound Interest 3-3 Future Value of an Annuity; Sinking Funds 3-4 Present Value of an Annuity; Amortization Chapter 3 Review Review Exercise CHAPTER 4 Systems of Linear Equations; Matrices 4-1 Review: Systems of Linear Equations in Two Variables 4-2 Systems of Linear Equations and Augmented Matrices 4-3 Gauss-Jordan Elimination 4-4 Matrices: Basic Operations 4-5 Inverse of a Square Matrix 4-6 Matrix Equations and Systems of Linear Equations 4-7 Leontief Input-Output Analysis Chapter 4 Review Review Exercise CHAPTER 5 Linear Inequalities and Linear Programming 5-1 Inequalities in Two Variables 5-2 Systems ofLinear Inequalities in Two Variables 5-3 Linear Programming in Two Dimensions: A Geometric Approach Chapter 5 Review Review Exercise CHAPTER 6 Linear Programming: Simplex Method 6-1 A Geometric Introduction to the Simplex Method 6-2 The Simplex Method: Maximization with Problem Constraints of the Form d"br> 6-3 The Dual; Minimization with Problem Constraints of the Form e"br> 6-4 Maximization and Minimization with Mixed Problem Constraints Chapter 6 Review Review Exercise CHAPTER 7 Logic, Sets, and Counting 7-1 Logic 7-2 Sets 7-3 Basic Counting Principles 7-4 Permutations and Combinations Chapter 7 Review Review Exercise CHAPTER 8 Probability 8-1 Sample Spaces, Events, and Probability 8-2 Union, Intersection, and Complement of Events; Odds 8-3 Conditional Probability, Intersection, and Independence 8-4 Bayes' Formula 8-5 Random Variable, Probability Distribution, and Expected Value Chapter 8 Review Review Exercise CHAPTER 9 Markov Chains 9-1 Properties of Markov Chains 9-2 Regular Markov Chains 9-3 Absorbing Markov Chains Chapter 9 Review Review Exercise CHAPTER 10 Games and Decisions 10-1 Strictly Determined Games 10-2 Mixed Strategy Games 10-3 Linear Programming and 2 Æ 2 Games: Geometric Approach 10-4 Linear Programming and m Æ n Games: Simplex Method and the Dual Problem Chapter 10 Review Review Exercise CHAPTER 11 Data Description and Probability Distributions 11-1 Graphing Data 11-2 Measures of Central Tendency 11-3 Measures of Dispersion 11-4 Bernoulli Trials and Binomial Distributions 11-5 Normal Distributions Chapter 11 Review Review Exercise APPENDIX A Basic Algebra Review Self-Test on Basic Algebra A-1 Algebra and Real Numbers A-2 Operations on Polynomials A-3 Factoring Polynomials A-4 Operations on Rational Expressions A-5 Integer Exponents and Scientific Notation A-6 Rational Exponents and Radicals A-7 Quadratic Equations APPENDIX B Special Topics B-1 Sequences, Series, and Summation Notation B-2 Arithmetic and Geometric Sequences B-3 The Binomial Theorem APPENDIX C Tables Table I Area Under the Standard Normal Curve Table II Basic Geometric Formulas.
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Additional Elementary Functions
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annuity Answers to Matched augmented matrix average axis binomial binomial distribution coefficient column compound interest compounded annually compounded monthly Compute coordinate system data set decimal places deposit Discuss distribution dollars domain earned element Example expected value Explore-Discuss exponential function Figure Find formula frequency Gauss–Jordan elimination geometric given graphically graphing calculator graphing utility horizontal indicated inequality integer intercepts inverse invested linear programming linear programming problem loan logarithmic logº Markov chain Matched Problem mathematical matrix game Maximize million Minimize month monthly payments multiplication nearest optimal solution output percentage pivot player polynomial pounds price-demand probability problem constraints produce quadratic function real numbers regression sample space sequence simple events simple interest simplex method Sketch a graph slope Solve standard deviation strategy subject to x1 Theorem tion transition matrix units unpaid balance vertical Write