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Preface 1. Linear Equations and Straight Lines 1.1 Coordinate Systems and Graphs 1.2 The Slope of a Straight Line 1.3 The Intersection Point of a Pair of Lines 1.4 The Method of Least Squares Chapter Project: Break-Even Analysis 2. Matrices 2.1 Systems of Linear Equations with Unique Solutions 2.2 General Systems of Linear Equations 2.3 Arithmetic Operations on Matrices 2.4 The Inverse of a Matrix 2.5 The Gauss-Jordan Method for Calculating Inverses 2.6 Input-Output Analysis Chapter Project: Population Dynamics 3. Linear Programming, A Geometric Approach 3.1 Linear Inequalities 3.2 A Linear Programming Problem 3.3 Fundamental Theorem of Linear Programming 3.4 Linear Programming Chapter Project: Shadow Prices 4. The Simplex Method 4.1 Slack Variables and the Simplex Tableau 4.2 The Simplex Method I: Maximum Problems 4.3 The Simplex Method II: Nonstandard and Minimum Problems 4.4 Sensitivity Analysis and Matrix Formulations of Linear Programming Problems 4.5 Duality Chapter Project: Shadow Prices 5. Sets and Counting 5.1 Sets 5.2 A Fundamental Principle of Counting 5.3 Venn Diagrams and Counting 5.4 The Multiplication Principle 5.5 Permutations and Combinations 5.6 Further Counting Techniques 5.7 The Binomial Theorem 5.8 Multinomial Coefficients and Partitions Chapter Project: Pascal's Triangle 6. Probability 6.1 Experiments, Outcomes, Sample Spaces, and Events 6.2 Assignment of Probabilities 6.3 Calculating Probabilities of Events 6.4 Conditional Probability and Independence 6.5 Tree Diagrams 6.6 Bayes' Theorem, Natural Frequencies 6.7 Simulation Chapter Project: Two Paradoxes 7. Probability and Statistics 7.1 Visual Representations of Data 7.2 Frequency and Probability Distributions 7.3 Binomial Trials 7.4 The Mean 7.5 The Variance and Standard Deviation 7.6 The Normal Distribution 7.7 Normal Approximation to the Binomial Distribution Chapter Project: An Unexpected Expected Value 8. Markov Processes 8.1 The Transition Matrix 8.2 Regular Stochastic Matrices 8.3 Absorbing Stochastic Matrices Chapter Project: Doubly Stochastic Matrices 9. The Theory of Games 9.1 Games and Strategies 9.2 Mixed Strategies 9.3 Determining Optimal Mixed Strategies Chapter Project: Simulating The Outcomes of Mixed-Strategy Games 10. The Mathematics of Finance 10.1 Interest 10.2 Annuities 10.3 Amortization of Loans 10.4 Personal Financial Decisions 10.5 A Unifying Equation Chapter Project: Two Items of Interest 11. Logic 11.1 Introduction to Logic 11.2 Truth Tables 11.3 Implication 11.4 Logical Implication and Equivalence 11.5 Valid Argument 11.6 Predicate Calculus 11.7 Logic Circuits Chapter Project: A Logic Puzzle 12. Difference Equations and Mathematical Models (Online at www.pearsonhighered.com/mathstatsresources) 12.1 Introduction to Difference Equations 12.2 Difference Equations and Interest 12.3 Graphing Difference Equations 12.4 Mathematics of Personal Finance 12.5 Modeling with Difference Equations Chapter Project: Connections to Markov Processes Appendix A. Areas Under the Standard Normal Curve Appendix B. The TI-83/84 Plus Graphing Calculators Appendix C. Spreadsheet Fundamentals Appendix D. Wolfram Alpha Answers to Odd-Numbered Exercises Index Table of Contents
Get Finite Mathematics & Its Applications, 12th Edition by Larry J. Goldstein, Goldstein Educational Technologies David I. Schneider, University of Maryland Martha J. Siegel, Towson State University Steven Hair, The Pennsylvania State University
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