Monday, February 25, 2019

Finite Mathematics & Its Applications, 12th Edition

Finite Mathematics & Its Applications, 12th Edition

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Finite Mathematics & Its Applications, 12th Edition Bank Test , Finite Mathematics & Its Applications, 12th Edition Textbook , Finite Mathematics & Its Applications, 12th Edition PDF , Finite Mathematics & Its Applications, 12th Edition eBook , Larry J. Goldstein, Goldstein Educational Technologies David I. Schneider, University of Maryland Martha J. Siegel, Towson State University Steven Hair, The Pennsylvania State University

Category : Higher Education

Table of Contents

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

Instalant Download 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 ZIP OR PDF

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