# Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences,14th edition

• Raymond A. Barnett Merritt College
• Michael R. Ziegler Marquette University
• Karl E. Byleen Marquette University
• Christopher J. Stocker Marquette University
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Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences offers you more built-in guidance than any other text on the subject. Its coverage of the construction of mathematical models helps you develop critical tools for solving application problems. Technology coverage is optional, but discussions on using graphing calculators and spreadsheets are included where appropriate.

The 14th Edition features a brand-new, full-color redesign and updated layout to help you navigate more easily as you put in the work to learn the math. Throughout, data is updated in examples and exercises. New features include Reminder margin notes; all graphing calculator screens are updated to the TI-84 Plus CD; and much more.

### I. A LIBRARY OF ELEMENTARY FUNCTIONS

• 1. Linear Equations and Graphs
• 1.1 Linear Equations and Inequalities
• 1.2 Graphs and Lines
• 1.3 Linear Regression
• Chapter 1 Summary and Review
• Review Exercises
• 2. Functions and Graphs
• 2.1 Functions
• 2.2 Elementary Functions: Graphs and Transformations
• 2.4 Polynomial and Rational Functions
• 2.5 Exponential Functions
• 2.6 Logarithmic Functions
• Chapter 2 Summary and Review
• Review Exercises

### II. FINITE MATHEMATICS

• 3. Mathematics of Finance
• 3.1 Simple Interest
• 3.2 Compound and Continuous Compound Interest
• 3.3 Future Value of an Annuity; Sinking Funds
• 3.4 Present Value of an Annuity; Amortization
• Chapter 3 Summary and Review
• Review Exercises
• 4. Systems of Linear Equations; Matrices
• 4.1 Review: Systems of Linear Equations in Two Variables
• 4.2 Systems of Linear Equations and Augmented Matrices
• 4.3 Gauss - Jordan Elimination
• 4.4 Matrices: Basic Operations
• 4.5 Inverse of a Square Matrix
• 4.6 Matrix Equations and Systems of Linear Equations
• 4.7 Leontief Input - Output Analysis
• Chapter 4 Summary and Review
• Review Exercises
• 5. Linear Inequalities and Linear Programming
• 5.1 Linear Inequalities in Two Variables
• 5.2 Systems of Linear Inequalities in Two Variables
• 5.3 Linear Programming in Two Dimensions: A Geometric Approach
• Chapter 5 Summary and Review
• Review Exercises
• 6. Linear Programming: The Simplex Method
• 6.1 The Table Method: An Introduction to the Simplex Method
• 6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤
• 6.3 The Dual Problem: Minimization with Problem Constraints of the Form ≥
• 6.4 Maximization and Minimization with Mixed Problem Constraints
• Chapter 6 Summary and Review
• Review Exercises
• 7. Logic, Sets, and Counting
• 7.1 Logic
• 7.2 Sets
• 7.3 Basic Counting Principles
• 7.4 Permutations and Combinations
• Chapter 7 Summary and Review
• Review Exercises
• 8. Probability
• 8.1 Sample Spaces, Events, and Probability
• 8.2 Union, Intersection, and Complement of Events; Odds
• 8.3 Conditional Probability, Intersection, and Independence
• 8.4 Bayes' Formula
• 8.5 Random Variable, Probability Distribution, and Expected Value
• Chapter 8 Summary and Review
• Review Exercises
• 9. Markov Chains
• 9.1 Properties of Markov Chains
• 9.2 Regular Markov Chains
• 9.3 Absorbing Markov Chains
• Chapter 9 Summary and Review
• Review Exercises
• 10. Data Description and Probability Distributions
• 10.1 Graphing Data
• 10.2 Measures of Central Tendency
• 10.3 Measures of Dispersion
• 10.4 Bernoulli Trials and Binomial Distributions
• 10.5 Normal Distributions
• Chapter 10 Summary and Review
• Review Exercises
• 11. Games and Decisions (online at goo.gl/6VBjkQ)
• 11.1 Strictly Determined Games
• 11.2 Mixed-Strategy Games
• 11.3 Linear Programming and 2 x 2 Games: A Geometric Approach
• 11.4 Linear Programming and m x n Games: Simplex Method and the Dual Problem
• Chapter 11 Summary and Review
• Review Exercises

### Appendix A: Basic Algebra Review

• A.1 Real Numbers
• A.2 Operations on Polynomials
• A.3 Factoring Polynomials
• A.4 Operations on Rational Expressions
• A.5 Integer Exponents and Scientific Notation
• A.6 Rational Exponents and Radicals

### Appendix B: Special Topics (online at goo.gl/mjbXrG)

• B.1 Sequences, Series, and Summation Notation
• B.2 Arithmetic and Geometric Sequences
• B.3 Binomial Theorem