Finite Mathematics

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  • Edition: 7th
  • Format: Hardcover
  • Copyright: 1/9/2007
  • Publisher: Cengage
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Get the background you need for future courses and discover the usefulness of mathematical concepts in analyzing and solving problems with FINITE MATHEMATICS, 7th Edition. The author clearly explains concepts, and the computations demonstrate enough detail to allow you to follow-and learn-steps in the problem-solving process. Hundreds of examples, many based on real-world data, illustrate the practical applications of mathematics. The textbook also includes technology guidelines to help you successfully use graphing calculators and Microsoft Excel to solve selected exercises.

Table of Contents

Functions and Lines
Graphs and Lines
Mathematical Models and Applications of Linear Functions
Linear Systems
Systems of Two Equations
Systems with Three Variables: An Introduction to a Matrix Representation of a Linear System of Equations
Gauss-Jordan Method for General Systems of Equations
Matrix Operations
Multiplication of Matrices
The Inverse of a Matrix
Leontief Input-Output Model in Economics
Linear Regression
Linear Programming
Linear Inequalities in Two Variables
Solutions of Systems of Inequalities: A Geometric Picture
Linear Programming: A Geometric Approach
Linear Programming: the Simplex Method
Setting Up the Simplex Methods
The Simplex Method
The Standard Minimum Problem: Duality
Mixed Constraints
Multiple Solutions, Unbounded Solutions, and No Solutions
What's Happening in the Simplex Method? (Optional)
Mathematics of Finance
Simple Interest
Compound Interest
Annuities and Sinking Funds
Present Value of an Annuity and Amortization
Sets and Counting
Counting Elements in a Subset Using a Venn Diagram
Basic Counting Principles
A Mixture of Counting Problems
Partitions (Optional)
Introduction to Probability
Equally Likely Events
Compound Events: Union, Intersection, and Complement
Conditional Probability
Independent Events
Bayes' Rule
Markov Chains
Frequency Distributions
Measures of Central Tendency
Measures of Dispersion: Range, Variance, and Standard Deviation
Random Variables and Probability Distributions of Discrete Random Variables
Expected Value of a Random Variable
Binomial Experiments and Binomial Distribution
Normal Distribution
Estimating Bounds on a Proportion
Game Theory
Two-Person Games
Mixed Strategy Games
Conditional Statements
Equivalent Statements
Valid Arguments
Review Topics
Properties of Real Numbers
Solving Linear Equations
Coordinate Systems
Linear Inequalities and Interval Notation
Using a TI-83 Graphing Calculator
Arithmetic Operations
Evaluating A Function
Finding the Intersection of Two Graphs
Constructing a Table
Using Excel
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