Finite Mathematics

Michael Sullivan is Professor Emeritus in the Department of Mathematics and Computer Science at Chicago State University where he taught for 35 years before retiring a few years ago. Dr. Sullivan is a member of American Mathematical Society, the Mathematical Association of America, and the American Mathematical Association of Two Year Colleges. He is President of Text and Academic Authors Association and represents that organization on the Authors Coalition of America, Mike has been writing textbooks in mathematics for over 30 years. He currently has 13 books in print: 3 texts with John Wiley & Sons and 10 with Prentice-Hall. Six of these titles are co-authored with his son, Michael Sullivan III. He has four children: Kathleen, who teaches college mathematics; Michael, who teaches college mathematics, Dan who is a Prentice-Hall sales representative, and Colleen, who teaches middle school mathematics. Nine grandchildren round out the family.

• Chapter 1: Linear Equations 1.1.   Lines1.2.   Pairs of Lines1.3.   Applications to Business and Economics1.4.   Scatter Diagrams; Linear Curve FittingChapter ReviewChapter ProjectChapter 2: Systems of Linear Equations2.1 Systems of Linear Equations: Substitution; Elimination2.2 Systems of Linear Equations: Gauss-Jordan Method2.3 Systems of m Linear Equations Containing n VariablesChapter ReviewChapter ProjectChapter 3: Matrices3.1 Matrix Algebra3.2 Multiplication of Matrices3.3 The Inverse of a Matrix3.4 Applications in Economics (the Leontief Model), Accounting, and Statistics (the Method of Least Squares)Chapter ReviewChapter ProjectChapter 4: Linear Programming with Two Variables4.1 Systems of Linear Inequalities4.2 A Geometric Approach to Linear Programming ProblemsChapter ReviewChapter ProjectChapter 5: Linear Programming: Simplex Method5.1 The Simplex Tableau; Pivoting5.2 The Simplex Method; Solving Maximum Problems in Standard Form5.3 Solving Minimum Problems Using the Daily Principle5.4 The Simplex Method for Problems Not in Standard FormChapter ReviewChapter ProjectChapter 6: Finance6.1 Interest6.2 Compound Interest6.3 Annuities; Sinking Funds6.4 Present Value of an Annuity; Amortization6.5 Annuities and Amortization Using Recursive SequencesChapter ReviewChapter ProjectChapter 7: Probability7.1 Sets7.2 The Number of Elements in a Set7.3 The Multiplication Principle7.4 Sample Spaces and the Assignment of Probabilities7.5 Properties of the Probability of an Event7.6 Expected ValueChapter ReviewChapter ProjectChapter 8: Bayes' Theorem; The Binomial Probability Model8.1 Conditional Probability8.2 Independent Events8.3 Bayes' Theorem8.4 Permutations8.5 Combinations8.6 The Binomial Probability ModelChapter ReviewChapter ProjectChapter 9: Statistics9.1 Introduction to Statistics: Data and Sampling9.2 Representing Qualitative Data Graphically: Bar Graphs; Pie Charts9.3 Organizing and Displaying Quantitative Data9.4 Measures of Central Tendency9.5 Measures of Dispersion9.6 The Normal DistributionChapter ReviewChapter ProjectChapter 10: Markov Chains; Games10.1 Markov Chains and Transition Matrices10.2 Regular Markov Chains10.3 Absorbing Markov Chains10.4 Two-Person Games10.5 Mixed Strategies10.6 Optimal Strategy in Two-Person Zero-Sum Games with 2 X 2 MatricesChapter ReviewChapter ProjectChapter 11: Logic11.1 Propositions11.2 Truth Tables11.3 Implications; The Biconditional Connective; Tautologies11.4 Arguments11.5 Logic CircuitsChapter ReviewChapter ProjectAppendix A: ReviewA.1 Real NumbersA.2 Algebra EssentialsA.3 Exponents and LogarithmsA.4 Recursive Defined Sequences: Geometric SequencesAppendix B: Using LINDO to Solve Linear Programming ProblemsAppendix C: Graphing UtilitiesC.1 The Viewing RectangleC.2 Using a Graphing Utility to Graph EquationsC.3 Square ScreensC.4 Using a Graphing Utility to Graph InequalitiesAnswers to Odd-Numbered ProblemsPhoto CreditsIndex