Finite Mathematics

by Rolf, Howard L.

• ISBN13: 9780495118428
• ISBN10: 0495118427
• Edition: 7th
• Format: Hardcover
• Copyright: 2007-01-09
• Publisher: Cengage

Summary

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

Functions

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

Applications

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

Sets

Counting Elements in a Subset Using a Venn Diagram

Basic Counting Principles

Permutations

Combinations

A Mixture of Counting Problems

Partitions (Optional)

Probability

Introduction to Probability

Equally Likely Events

Compound Events: Union, Intersection, and Complement

Conditional Probability

Independent Events

Bayes' Rule

Markov Chains

Statistics

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

Logic

Statements

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

Notation

Arithmetic Operations

Graphing

Evaluating A Function

Finding the Intersection of Two Graphs

Constructing a Table

Matrices

Statistics

Using Excel

Table of Contents provided by Publisher. All Rights Reserved.