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by Bill Armstrong and Don Davis

Edition: 03Copyright: 2003

Publisher: Prentice Hall, Inc.

Published: 2003

International: No

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For courses in Mathematics for Business, Finite Mathematics, and Applied Calculus.

This text, modern in its writing style as well as in its applications, contains numerous exercises--both skill oriented and applications--, real data problems, and a problem solving method. Its exercises are based on data from the World Wide Web, and allow students to see for themselves how mathematics is used in everyday life.

**Features :**

- Problem solving method--Occurs in worked out examples throughout the entire text in the steps entitled Understand the Situation and Interpret the Solution.
- Provides students with the necessary preliminary thought processes needed when attacking a problem.
- Real data modeling--Features problems based on data culled from the WWW.
- Impresses upon students that mathematics can be used to solve a multitude of rich real world problems. Serves instructors with an abundance of examples and exercises enabling students to see where they could use this mathematics in the real world.
- Technology options--Follows worked examples for students and instructors who wish to use graphing calculator technology.
- Shows students how the graphing calculator may be used to solve the example just presented.
- Flashbacks--Revisits an example from a prior section and extends the content to introduce new topics.
- Allows students to concentrate on a new topic using familiar applications. Enables instructors to use students' prior knowledge and extend it naturally to new material.
- From Your Toolbox boxes--Reviews a previously introduced key definition, theorem, or property required in the development of a new topic.
- Allows students to stay on a task with the material being presented without having to flip back several pages.
- Notes feature follows definitions, theorems, and properties.
- Provides students with additional insight by clarifying the just presented mathematical idea verbally.
- Checkpoints--Reinforce the topics, skill, or concept at hand.
- Helps students take ownership of their learning and the course material, and gives them confidence in their ability to do so.
- Interactive activities.
- Gives students further mathematical insight by extending complete examples, solving worked examples using another method, discovering patterns, and exploring additional properties of recently introduced topics. Supplies instructors with material for critical thinking exercises, classroom discussion, or collaborative learning.
- Chapter openers--Includes photos, graphs, What We Know, and Where Do We Go sections.
- Guides students through the text by highlighting what the have already learned and what they are about to cover.
- Chapter-end narratives--Features Why We Learned It sections, extensive review exercises, and a chapter project.
- Outlines the major chapter topics and how they are used in various careers, and offers students the chance to test their understanding of the material they have learned--and their understanding of it.

**Armstrong, Bill : Lakeland Community College**

Davis, Don : Lakeland Community College

1. Linear Models and Systems of Linear Equations

Problem Solving: Linear Equations

Linear Functions

Linear Models

Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations Algebraically

2. Systems of Linear Equations and Matrices

Matrices and Gauss-Jordan Elimination

Matrices and Operations

Matrix Multiplication

Matrix Inverses and Solving Systems of Linear Equations

Leontief Input-Output Models

3. Linear Programming: The Graphical Method

Problem Solving: Linear Inequalities

Graphing Systems of Linear Inequalities

Solving Linear Programming Problems Graphically

Applications of Linear Programming

4. Linear Programming: The Simplex Method

Introduction to The Simplex Method

Simplex Method: Standard Maximum Form Problems

Simplex Method: Standard Minimum Form Problems and Duality

Simplex Method: Nonstandard Problems

5. Mathematics of Finance

Simple Interest

Compound Interest

Future Value of an Annuity

Present Value of an Annuity

6. Sets and the Fundamentals of Probability

Problem Solving: Probability and Statistics

Sets and Set Operations

Principles of Counting

Introduction to Probability

Computing Probability using the Addition Rule

Computing Probability using the Multiplication Rule

Bayes' Theorem and Its Applications

7. Graphical Data Description

Graphing Qualitative Data

Graphing Quantitative Data

Measures of Centrality

Measures of Dispersion

8. Probability Distributions

Discrete Random Variables

Expected Value and Standard Deviation of a Discrete Random Variable

The Binomial Distribution

The Normal Distribution

9. Markov Chains

Introduction to Markov Chains

Regular Markov Chains

Absorbing Markov Chains

Chapter 10 Game Theory

Strictly Determined Games

Mixed Strategies

Game Theory and Linear Programming

APPENDICES

Appendix A. Prerequisites for Finite Mathematics

Percents, Decimals and Fractions

Evaluating Expressions and Order of Operations

Properties of Integer Exponents

Rational Exponents and Radicals

Appendix B. Algebra Review

Multiplying Polynomial Expressions

Factoring Trinomials

Solving Linear Equations

Solving Quadratic Equations

Properties of Logarithms

Geometric Sequence and Series

Appendix C. Calculator Programs

Appendix D. Standard Normal Table

Summary

For courses in Mathematics for Business, Finite Mathematics, and Applied Calculus.

This text, modern in its writing style as well as in its applications, contains numerous exercises--both skill oriented and applications--, real data problems, and a problem solving method. Its exercises are based on data from the World Wide Web, and allow students to see for themselves how mathematics is used in everyday life.

**Features :**

- Problem solving method--Occurs in worked out examples throughout the entire text in the steps entitled Understand the Situation and Interpret the Solution.
- Provides students with the necessary preliminary thought processes needed when attacking a problem.
- Real data modeling--Features problems based on data culled from the WWW.
- Impresses upon students that mathematics can be used to solve a multitude of rich real world problems. Serves instructors with an abundance of examples and exercises enabling students to see where they could use this mathematics in the real world.
- Technology options--Follows worked examples for students and instructors who wish to use graphing calculator technology.
- Shows students how the graphing calculator may be used to solve the example just presented.
- Flashbacks--Revisits an example from a prior section and extends the content to introduce new topics.
- Allows students to concentrate on a new topic using familiar applications. Enables instructors to use students' prior knowledge and extend it naturally to new material.
- From Your Toolbox boxes--Reviews a previously introduced key definition, theorem, or property required in the development of a new topic.
- Allows students to stay on a task with the material being presented without having to flip back several pages.
- Notes feature follows definitions, theorems, and properties.
- Provides students with additional insight by clarifying the just presented mathematical idea verbally.
- Checkpoints--Reinforce the topics, skill, or concept at hand.
- Helps students take ownership of their learning and the course material, and gives them confidence in their ability to do so.
- Interactive activities.
- Gives students further mathematical insight by extending complete examples, solving worked examples using another method, discovering patterns, and exploring additional properties of recently introduced topics. Supplies instructors with material for critical thinking exercises, classroom discussion, or collaborative learning.
- Chapter openers--Includes photos, graphs, What We Know, and Where Do We Go sections.
- Guides students through the text by highlighting what the have already learned and what they are about to cover.
- Chapter-end narratives--Features Why We Learned It sections, extensive review exercises, and a chapter project.
- Outlines the major chapter topics and how they are used in various careers, and offers students the chance to test their understanding of the material they have learned--and their understanding of it.

Author Bio

**Armstrong, Bill : Lakeland Community College**

Davis, Don : Lakeland Community College

Table of Contents

1. Linear Models and Systems of Linear Equations

Problem Solving: Linear Equations

Linear Functions

Linear Models

Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations Algebraically

2. Systems of Linear Equations and Matrices

Matrices and Gauss-Jordan Elimination

Matrices and Operations

Matrix Multiplication

Matrix Inverses and Solving Systems of Linear Equations

Leontief Input-Output Models

3. Linear Programming: The Graphical Method

Problem Solving: Linear Inequalities

Graphing Systems of Linear Inequalities

Solving Linear Programming Problems Graphically

Applications of Linear Programming

4. Linear Programming: The Simplex Method

Introduction to The Simplex Method

Simplex Method: Standard Maximum Form Problems

Simplex Method: Standard Minimum Form Problems and Duality

Simplex Method: Nonstandard Problems

5. Mathematics of Finance

Simple Interest

Compound Interest

Future Value of an Annuity

Present Value of an Annuity

6. Sets and the Fundamentals of Probability

Problem Solving: Probability and Statistics

Sets and Set Operations

Principles of Counting

Introduction to Probability

Computing Probability using the Addition Rule

Computing Probability using the Multiplication Rule

Bayes' Theorem and Its Applications

7. Graphical Data Description

Graphing Qualitative Data

Graphing Quantitative Data

Measures of Centrality

Measures of Dispersion

8. Probability Distributions

Discrete Random Variables

Expected Value and Standard Deviation of a Discrete Random Variable

The Binomial Distribution

The Normal Distribution

9. Markov Chains

Introduction to Markov Chains

Regular Markov Chains

Absorbing Markov Chains

Chapter 10 Game Theory

Strictly Determined Games

Mixed Strategies

Game Theory and Linear Programming

APPENDICES

Appendix A. Prerequisites for Finite Mathematics

Percents, Decimals and Fractions

Evaluating Expressions and Order of Operations

Properties of Integer Exponents

Rational Exponents and Radicals

Appendix B. Algebra Review

Multiplying Polynomial Expressions

Factoring Trinomials

Solving Linear Equations

Solving Quadratic Equations

Properties of Logarithms

Geometric Sequence and Series

Appendix C. Calculator Programs

Appendix D. Standard Normal Table

Publisher Info

Publisher: Prentice Hall, Inc.

Published: 2003

International: No

Published: 2003

International: No

For courses in Mathematics for Business, Finite Mathematics, and Applied Calculus.

This text, modern in its writing style as well as in its applications, contains numerous exercises--both skill oriented and applications--, real data problems, and a problem solving method. Its exercises are based on data from the World Wide Web, and allow students to see for themselves how mathematics is used in everyday life.

**Features :**

- Problem solving method--Occurs in worked out examples throughout the entire text in the steps entitled Understand the Situation and Interpret the Solution.
- Provides students with the necessary preliminary thought processes needed when attacking a problem.
- Real data modeling--Features problems based on data culled from the WWW.
- Impresses upon students that mathematics can be used to solve a multitude of rich real world problems. Serves instructors with an abundance of examples and exercises enabling students to see where they could use this mathematics in the real world.
- Technology options--Follows worked examples for students and instructors who wish to use graphing calculator technology.
- Shows students how the graphing calculator may be used to solve the example just presented.
- Flashbacks--Revisits an example from a prior section and extends the content to introduce new topics.
- Allows students to concentrate on a new topic using familiar applications. Enables instructors to use students' prior knowledge and extend it naturally to new material.
- From Your Toolbox boxes--Reviews a previously introduced key definition, theorem, or property required in the development of a new topic.
- Allows students to stay on a task with the material being presented without having to flip back several pages.
- Notes feature follows definitions, theorems, and properties.
- Provides students with additional insight by clarifying the just presented mathematical idea verbally.
- Checkpoints--Reinforce the topics, skill, or concept at hand.
- Helps students take ownership of their learning and the course material, and gives them confidence in their ability to do so.
- Interactive activities.
- Gives students further mathematical insight by extending complete examples, solving worked examples using another method, discovering patterns, and exploring additional properties of recently introduced topics. Supplies instructors with material for critical thinking exercises, classroom discussion, or collaborative learning.
- Chapter openers--Includes photos, graphs, What We Know, and Where Do We Go sections.
- Guides students through the text by highlighting what the have already learned and what they are about to cover.
- Chapter-end narratives--Features Why We Learned It sections, extensive review exercises, and a chapter project.
- Outlines the major chapter topics and how they are used in various careers, and offers students the chance to test their understanding of the material they have learned--and their understanding of it.

**Armstrong, Bill : Lakeland Community College**

Davis, Don : Lakeland Community College

1. Linear Models and Systems of Linear Equations

Problem Solving: Linear Equations

Linear Functions

Linear Models

Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations Algebraically

2. Systems of Linear Equations and Matrices

Matrices and Gauss-Jordan Elimination

Matrices and Operations

Matrix Multiplication

Matrix Inverses and Solving Systems of Linear Equations

Leontief Input-Output Models

3. Linear Programming: The Graphical Method

Problem Solving: Linear Inequalities

Graphing Systems of Linear Inequalities

Solving Linear Programming Problems Graphically

Applications of Linear Programming

4. Linear Programming: The Simplex Method

Introduction to The Simplex Method

Simplex Method: Standard Maximum Form Problems

Simplex Method: Standard Minimum Form Problems and Duality

Simplex Method: Nonstandard Problems

5. Mathematics of Finance

Simple Interest

Compound Interest

Future Value of an Annuity

Present Value of an Annuity

6. Sets and the Fundamentals of Probability

Problem Solving: Probability and Statistics

Sets and Set Operations

Principles of Counting

Introduction to Probability

Computing Probability using the Addition Rule

Computing Probability using the Multiplication Rule

Bayes' Theorem and Its Applications

7. Graphical Data Description

Graphing Qualitative Data

Graphing Quantitative Data

Measures of Centrality

Measures of Dispersion

8. Probability Distributions

Discrete Random Variables

Expected Value and Standard Deviation of a Discrete Random Variable

The Binomial Distribution

The Normal Distribution

9. Markov Chains

Introduction to Markov Chains

Regular Markov Chains

Absorbing Markov Chains

Chapter 10 Game Theory

Strictly Determined Games

Mixed Strategies

Game Theory and Linear Programming

APPENDICES

Appendix A. Prerequisites for Finite Mathematics

Percents, Decimals and Fractions

Evaluating Expressions and Order of Operations

Properties of Integer Exponents

Rational Exponents and Radicals

Appendix B. Algebra Review

Multiplying Polynomial Expressions

Factoring Trinomials

Solving Linear Equations

Solving Quadratic Equations

Properties of Logarithms

Geometric Sequence and Series

Appendix C. Calculator Programs

Appendix D. Standard Normal Table