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Full Description
Finite Mathematics, Eleventh Edition is a comprehensive, yet flexible, text for students majoring in business, economics, life science, or social sciences. The authors delve into greater mathematical depth than other texts, while motivating students through relevant, up-to-date applications drawn from students' major fields of study. Every chapter includes a large quantity of exceptional exercises-a hallmark of this text-that address skills, applications, concepts, and technology. The Eleventh Edition includes updated applications, exercises, and technology coverage. In addition, modern and relevant topics such as health statistics have been added. The authors have also added more study tools, including a prerequisite skills diagnostic test and a greatly improved end-of-chapter summary, and made content improvements based on user reviews.
Contents
Preface1. Linear Equations and Straight Lines1.1 Coordinate Systems and Graphs1.2 Linear Inequalities1.3 The Intersection Point of a Pair of Lines1.4 The Slope of a Straight Line1.5 The Method of Least SquaresChapter Project: Break-Even Analysis2. MatricesSystems of Linear Equations with Unique Solutions2.1 Systems of Linear Equations with Unique Solutions2.2 General Systems of Linear Equations2.3 Arithmetic Operations on Matrices2.4 The Inverse of a Matrix2.5 The Gauss-Jordan Method for Calculating Inverses2.6 Input-Output AnalysisChapter Project: Population Dynamics3. Linear Programming, A Geometric Approach3.1 A Linear Programming Application3.2 The Fundamental Theorem of Linear Programming3.3 Linear ProgrammingChapter Project: Shadow Prices4. The Simplex Method4.1 Slack Variables and the Simplex Tableau4.2 Maximum Problems4.3 Minimum Problems4.4 Sensitivity Analysis and Matrix Formulations of Linear Programming Problems4.5 DualityChapter Project: Shadow Prices5. Sets and Counting5.1 Sets5.2 A Fundamental Principle of Counting5.3 Venn Diagrams and Counting5.4 The Multiplication Principle5.5 Permutations and Combinations5.6 Further Counting Techniques5.7 The Binomial Theorem5.8 Multinomial Coefficients and PartitionsChapter Project: Pascal's Triangle6. Probability6.1 Experiments, Outcomes, SampleSapces, and Events6.2 Assignment of Probabilities6.3 Calculating Probabilities of Events6.4 Conditional Probability and Independence6.5 Tree Diagrams6.6 Bayes' Theorem, Natural Frequencies6.7 SimulationChapter Project: Two Paradoxes7. Probability and Statistics7.1 Representation of Data7.2 Frequency and Probability Distributions7.3 Binomial Trials7.4 The Mean7.5 The Variance and Standard Deviation7.6 The Normal Distribution7.7 Normal Approximation to the Binomial DistributionChapter Project: An Unexpected Expected Value8. Markov Processes8.1 The Transition Matrix8.2 Regular Stochastic Matrices8.3 Absorbing Stochastic MatricesChapter Project: Doubly Stochastic Matrices9. The Theory of Games9.1 Games and Strategies9.2 Mixed Strategies9.3 Determining Optimal Mixed StrategiesChapter Project: Simulating The Outcomes of Mixed-Strategy Games10. The Mathematics of Finance10.1 Interest10.2 Annuities10.3 Amortization of Loans10.4 Personal Financial DecisionsChapter Project: Two Items of Interest11. Difference Equations and Mathematical Models11.1 Introduction to Difference Equations11.2 Difference Equations and Interest11.3 Graphing Difference Equations11.4 Mathematics of Personal Finance11.5 Modeling with Difference EquationsChapter Project: Connections to Markov Processes12. Logic12.1 Introduction to Logic12.2 Truth Tables12.3 Implication12.4 Logical Implication and Equivalence12.5 Valid Argument12.6 Predicate Calculus12.7 Logic CircuitsChapter Project: A Logic PuzzleAppendix A. Areas Under the Standard Normal CurveAppendix B. The TI-83/84 Plus Graphing CalculatorsAppendix C. Spreadsheet FundamentalsAppendix D. Wolfram AlphaAnswers to Odd-Numbered ExercisesIndex
