Finite Mathematics

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  • Edition: 9th
  • Format: Hardcover
  • Copyright: 1/1/2008
  • Publisher: Addison Wesley
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Widely known for incorporating interesting, relevant, and realistic applications, this text offers many real applications citing current data sources. There are a wide variety of opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. MyMathLab, a complete online course, will be available with this text. For the first time, a comprehensive series of lectures on video will be available.

Table of Contents

R. Algebra Reference
Rational Expressions
Linear Functions
Slope and Equations of a Line
Linear Functions
Linear Mathematical Models
Constructing a Mathematical Model
Review Exercises
Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants
Extended Application: Depreciation
Systems of Linear Equations and Matrices
Solution of Linear Systems by the Echelon Method
Solution of Linear Systems by the Gauss-Jordan Method
Addition and Subtraction of Matrices
Multiplication of Matrices
Matrix Inverses
Input-Output Models
Review Exercises
Extended Application: Contagion
Linear Programming: The Graphical Method
Graphing Linear Inequalities
Solving Linear Programming Problems Graphically
Applications of Linear Programming
Review Exercises
Linear Programming: The Simplex Method
Slack Variables and the Pivot
Maximization Problems
Minimization Problems; Duality
Nonstandard Problems
Review Exercises
Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix
Mathematics of Finance
Simple and Compound Interest
Future Value of an Annuity
Present Value of an Annuity; Amortization
A Strategy for Solving Finance Problems
Review Exercises
Extended Application: Time, Money, and Polynomials
Sets and Probability
Applications of Venn Diagrams
Introduction to Probability
Basic Concepts of Probability
Conditional Probability; Independent Events
Bayes' Theorem
Probability Summary
Review Exercises
Extended Application: Medical Diagnosis
Counting Principles; Further Probability Topics
The Multiplication Principle; Permutations
Probability Applications of Counting Principles
Binomial Probability
Probability Distributions; Expected Value
Review Exercises
Extended Application: Optimal Inventory for a Service Truck
Frequency Distributions; Measures of Central Tendency
Measures of Variation
The Normal Distribution
Normal Approximation to the Binomial Distribution
Review Exercises
Markov Chains
Basic Properties of Markov Chains
Regular Markov Chains
Absorbing Markov Chains
Review Exercises
Extended Application: Cavities and Restoration
Game Theory
Strictly Determined Games
Mixed Strategies
Game Theory and Linear Programming
Review Exercises
Extended Application: Decision Making in the Military
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