Applied Finite Mathematics

PrefaceAcknowledgments1 Set Theory 1.1. Introduction to Sets 1.2. Union and Intersection of Sets 1.3. Complementation and Cartesian Product of Sets 1.4. Counting Elements in Sets2 Coordinate Systems and Graphs 2.1. Coordinate Systems 2.2. The Straight Line 2.3. Applications of Linear Equations 2.4. Linear Inequalities and Their Graphs3 Linear Programming (A Geometric Approach) 3.1. What Is Linear Programming? 3.2. Solving Linear Programming Problems Geometrically4 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. Inverses of Matrices5 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 ; Duality6 Probability 6.1. Introduction; Sample Space and Events 6.2. Probability Models for Finite Sample Spaces 6.3. Basic Theorems of Probability 6.4. Counting Techniques; Permutations and Combinations 6.5. Conditional Probability; Independence 6.6. Bayes' Formula7 Statistics 7.1. Introduction; Random Variables 7.2. Expected Value of a Random Variable 7.3. Variance of a Random Variable 7.4. Chebyshev's Inequality; Applications of Mean and Variance 7.5. Binomial Random Variables 7.6. The Normal Approximation to the Binomial 7.7. Hypothesis Testing; The Chi-Square Test8 Applications 8.1. An Application of Conditional Probability to Medical Diagnosis 8.2. An Application of Probability to Genetics; The Hardy-Weinberg Stability Principle 8.3. Applications of Probability and Expected Value to Life Insurance and Mortality 8.4. Introduction to Game Theory and Applications 8.5. Games with Mixed Strategies 8.6. Markov Chains and Applications9 Mathematics of Finance 9.1. Exponents and Logarithms-A Review 9.2. Mathematics of Finance10 Computers 10.1. What is a Computer? 10.2. Communicating with the Computer 10.3. BASIC, A Programming Language 10.4. BASIC Continued (Print and Data Instructions) 10.5. BASIC Continued (Loops and Decisions) 10.6. Flow Charts 10.7. Other Programming LanguagesAppendix/TablesAnswers to Odd-Numbered ExercisesIndex