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by Margaret Lial, Thomas Hungerford and John Holcomb

Cover type: HardbackEdition: 9TH 07

Copyright: 2007

Publisher: Addison-Wesley Longman, Inc.

Published: 2007

International: No

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This edition of Finite Mathematics with Applications continues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. This new edition is all that you need and more.

**Features**

- Balanced Approach Multiple representations of a topic (symbolic, numerical, graphical, verbal) are used as appropriate throughout the text.
- Real-Data Examples and Applications have long been popular features of this text, and this edition is no exception. The data has been updated and added to throughout the text.
- Examples allow students to see how different problems are solved using the techniques shown in the book. As in the real world, many of these problems have multi-step questions and solutions.
- Margin Exercises, keyed to the discussion in the text, provide students with an opportunity to practice immediately after learning a new skill. These margin exercises essentially function as a complete, in-text study guide.
- Cautions highlight common student difficulties or warn against frequently made mistakes.
- Technology Tips appear within the text as appropriate to inform students of various features of their graphing calculators or spreadsheet programs and to guide them in using these tools.
- Exercises at the end of each section provide students with a valuable opportunity to practice the material that they have just learned in the chapter. Many of these exercises are tied back into the text, making for a cohesive learning process. In addition to the traditional and application-based exercises, there are also some exercises that require writing, the use of the calculator, skills from earlier sections, or are tied to past CPA exams. Many of the application exercises include real data from cited sources.
- End of Chapter materials include a summary of key terms and symbols and key concepts. Once students feel the understand these, they can complete the review exercises to confirm their comprehension of the material covered in the chapter.
- Case Studies appear at the end of each chapter. These case studies are contemporary, real-world applications of some of the mathematics presented in the chapter, providing at least a partial answer to the question, "When will I ever use this?"
- Pedagogical Use of Color makes this book's art program more effective in enhancing the mathematical exposition and clarifying many graphical presentations.

**New To This Edition**

- Each chapter begins with a brief overview of applications of the mathematics treated in that chapter, together with references to appropriate exercises.
- Approximately 30% of the exercises throughout the book are new or revised from the previous edition.
- There has been a significant increase in real-data examples and exercises in chapters 8, 9, and 10. In particular, many discussions of dice, cards, and marbles have been replaced by more relevant examples such as jury selection.
- In addition, many detailed changes have been made throughout the book to improve clarity and coverage.

**Chapter 1. Algebra and Equations**

1.1 The Real Numbers

1.2 Polynomials

1.3 Factoring

1.4 Rational Expressions

1.5 Exponents and Radicals

1.6 First-Degree Equations

Case 1: Consumers Often Defy Common Sense

**Chapter 2. Graphs, Lines, and Inequalities**

2.1 Graphs

2.2 Equations of Lines

2.3 Linear Models

2.4 Linear Inequalities

2.5 Polynomial and Rational Inequalities

Case 2: Using Extrapolation to Predict Life Expectancy

**Chapter 3. Functions and Graphs**

3.1 Functions

3.2 Graphs of Functions

3.3 Applications of Linear Functions

3.4 Quadratic Functions

3.5 Applications of Quadratic Functions

3.6 Polynomial Functions

3.7 Rational Functions

Case 3: Architectural Arches

**Chapter 4. Exponential and Logarithmic Functions**

4.1 Exponential Functions

4.2 Applications of Exponential Functions

4.3 Logarithmic Functions

4.4 Logarithmic and Exponential Equations

Case 4: Characteristics of the Monkeyface Prickleback

**Chapter 5. Mathematics of Finance**

5.1 Simple Interest and Discount

5.2 Compound Interest

5.3 Future Value of an Annuity and Sinking Funds

5.4 Present Value of an Annuity and Amortization

Case 5: Time, Money, and Polynomials

**Chapter 6. Systems of Linear Equations and Matrices**

6.1 Systems of Linear Equations

6.2 The Gauss-Jordan Method

6.3 Basic Matrix Operations

6.4 Matrix Products and Inverses

6.5 Applications of Matrices

Case 6: Matrix Operations and Airline Route Maps

**Chapter 7. Linear Programming**

7.1 Graphing Linear Inequalities in Two Variables

7.2 Linear Programming: The Graphical Method

7.3 Applications of Linear Programming

7.4 The Simplex Method: Maximization

7.5 Maximization Applications

7.6 The Simplex Method: Duality and Minimization

7.7 The Simplex Method: Nonstandard Problems

Case 7: Cooking with Linear Programming

**Chapter 8. Sets and Probability**

8.1 Sets

8.2 Applications of Venn Diagrams

8.3 Introduction to Probability

8.4 Basic Concepts of Probability

8.5 Conditional Probability and Independent Events

8.6 Bayes' Formula

Case 8: Medical Diagnosis

**Chapter 9. Counting, Probability Distributions, and Further Topics in Probability**

9.1 Probability Distributions and Expected Value

9.2 The Multiplication Principle, Permutations, and Combinations

9.3 Applications of Counting

9.4 Binomial Probability

9.5 Markov Chains

9.6 Decision Making

Case 9: Optimal Inventory for a Service Truck

**Chapter 10. Introduction to Statistics**

10.1 Frequency Distributions and Measures of Central Tendency

10.2 Measures of Variation

10.3 Normal Distributions

10.4 Normal Approximation to the Binomial Distribution

Case 10: Statistics in the Law-The Castaneda Decision

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Summary

This edition of Finite Mathematics with Applications continues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. This new edition is all that you need and more.

**Features**

- Balanced Approach Multiple representations of a topic (symbolic, numerical, graphical, verbal) are used as appropriate throughout the text.
- Real-Data Examples and Applications have long been popular features of this text, and this edition is no exception. The data has been updated and added to throughout the text.
- Examples allow students to see how different problems are solved using the techniques shown in the book. As in the real world, many of these problems have multi-step questions and solutions.
- Margin Exercises, keyed to the discussion in the text, provide students with an opportunity to practice immediately after learning a new skill. These margin exercises essentially function as a complete, in-text study guide.
- Cautions highlight common student difficulties or warn against frequently made mistakes.
- Technology Tips appear within the text as appropriate to inform students of various features of their graphing calculators or spreadsheet programs and to guide them in using these tools.
- Exercises at the end of each section provide students with a valuable opportunity to practice the material that they have just learned in the chapter. Many of these exercises are tied back into the text, making for a cohesive learning process. In addition to the traditional and application-based exercises, there are also some exercises that require writing, the use of the calculator, skills from earlier sections, or are tied to past CPA exams. Many of the application exercises include real data from cited sources.
- End of Chapter materials include a summary of key terms and symbols and key concepts. Once students feel the understand these, they can complete the review exercises to confirm their comprehension of the material covered in the chapter.
- Case Studies appear at the end of each chapter. These case studies are contemporary, real-world applications of some of the mathematics presented in the chapter, providing at least a partial answer to the question, "When will I ever use this?"
- Pedagogical Use of Color makes this book's art program more effective in enhancing the mathematical exposition and clarifying many graphical presentations.

**New To This Edition**

- Each chapter begins with a brief overview of applications of the mathematics treated in that chapter, together with references to appropriate exercises.
- Approximately 30% of the exercises throughout the book are new or revised from the previous edition.
- There has been a significant increase in real-data examples and exercises in chapters 8, 9, and 10. In particular, many discussions of dice, cards, and marbles have been replaced by more relevant examples such as jury selection.
- In addition, many detailed changes have been made throughout the book to improve clarity and coverage.

Table of Contents

**Chapter 1. Algebra and Equations**

1.1 The Real Numbers

1.2 Polynomials

1.3 Factoring

1.4 Rational Expressions

1.5 Exponents and Radicals

1.6 First-Degree Equations

Case 1: Consumers Often Defy Common Sense

**Chapter 2. Graphs, Lines, and Inequalities**

2.1 Graphs

2.2 Equations of Lines

2.3 Linear Models

2.4 Linear Inequalities

2.5 Polynomial and Rational Inequalities

Case 2: Using Extrapolation to Predict Life Expectancy

**Chapter 3. Functions and Graphs**

3.1 Functions

3.2 Graphs of Functions

3.3 Applications of Linear Functions

3.4 Quadratic Functions

3.5 Applications of Quadratic Functions

3.6 Polynomial Functions

3.7 Rational Functions

Case 3: Architectural Arches

**Chapter 4. Exponential and Logarithmic Functions**

4.1 Exponential Functions

4.2 Applications of Exponential Functions

4.3 Logarithmic Functions

4.4 Logarithmic and Exponential Equations

Case 4: Characteristics of the Monkeyface Prickleback

**Chapter 5. Mathematics of Finance**

5.1 Simple Interest and Discount

5.2 Compound Interest

5.3 Future Value of an Annuity and Sinking Funds

5.4 Present Value of an Annuity and Amortization

Case 5: Time, Money, and Polynomials

**Chapter 6. Systems of Linear Equations and Matrices**

6.1 Systems of Linear Equations

6.2 The Gauss-Jordan Method

6.3 Basic Matrix Operations

6.4 Matrix Products and Inverses

6.5 Applications of Matrices

Case 6: Matrix Operations and Airline Route Maps

**Chapter 7. Linear Programming**

7.1 Graphing Linear Inequalities in Two Variables

7.2 Linear Programming: The Graphical Method

7.3 Applications of Linear Programming

7.4 The Simplex Method: Maximization

7.5 Maximization Applications

7.6 The Simplex Method: Duality and Minimization

7.7 The Simplex Method: Nonstandard Problems

Case 7: Cooking with Linear Programming

**Chapter 8. Sets and Probability**

8.1 Sets

8.2 Applications of Venn Diagrams

8.3 Introduction to Probability

8.4 Basic Concepts of Probability

8.5 Conditional Probability and Independent Events

8.6 Bayes' Formula

Case 8: Medical Diagnosis

**Chapter 9. Counting, Probability Distributions, and Further Topics in Probability**

9.1 Probability Distributions and Expected Value

9.2 The Multiplication Principle, Permutations, and Combinations

9.3 Applications of Counting

9.4 Binomial Probability

9.5 Markov Chains

9.6 Decision Making

Case 9: Optimal Inventory for a Service Truck

**Chapter 10. Introduction to Statistics**

10.1 Frequency Distributions and Measures of Central Tendency

10.2 Measures of Variation

10.3 Normal Distributions

10.4 Normal Approximation to the Binomial Distribution

Case 10: Statistics in the Law-The Castaneda Decision

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2007

International: No

Published: 2007

International: No

This edition of Finite Mathematics with Applications continues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. This new edition is all that you need and more.

**Features**

- Balanced Approach Multiple representations of a topic (symbolic, numerical, graphical, verbal) are used as appropriate throughout the text.
- Real-Data Examples and Applications have long been popular features of this text, and this edition is no exception. The data has been updated and added to throughout the text.
- Examples allow students to see how different problems are solved using the techniques shown in the book. As in the real world, many of these problems have multi-step questions and solutions.
- Margin Exercises, keyed to the discussion in the text, provide students with an opportunity to practice immediately after learning a new skill. These margin exercises essentially function as a complete, in-text study guide.
- Cautions highlight common student difficulties or warn against frequently made mistakes.
- Technology Tips appear within the text as appropriate to inform students of various features of their graphing calculators or spreadsheet programs and to guide them in using these tools.
- Exercises at the end of each section provide students with a valuable opportunity to practice the material that they have just learned in the chapter. Many of these exercises are tied back into the text, making for a cohesive learning process. In addition to the traditional and application-based exercises, there are also some exercises that require writing, the use of the calculator, skills from earlier sections, or are tied to past CPA exams. Many of the application exercises include real data from cited sources.
- End of Chapter materials include a summary of key terms and symbols and key concepts. Once students feel the understand these, they can complete the review exercises to confirm their comprehension of the material covered in the chapter.
- Case Studies appear at the end of each chapter. These case studies are contemporary, real-world applications of some of the mathematics presented in the chapter, providing at least a partial answer to the question, "When will I ever use this?"
- Pedagogical Use of Color makes this book's art program more effective in enhancing the mathematical exposition and clarifying many graphical presentations.

**New To This Edition**

- Each chapter begins with a brief overview of applications of the mathematics treated in that chapter, together with references to appropriate exercises.
- Approximately 30% of the exercises throughout the book are new or revised from the previous edition.
- There has been a significant increase in real-data examples and exercises in chapters 8, 9, and 10. In particular, many discussions of dice, cards, and marbles have been replaced by more relevant examples such as jury selection.
- In addition, many detailed changes have been made throughout the book to improve clarity and coverage.

**Chapter 1. Algebra and Equations**

1.1 The Real Numbers

1.2 Polynomials

1.3 Factoring

1.4 Rational Expressions

1.5 Exponents and Radicals

1.6 First-Degree Equations

Case 1: Consumers Often Defy Common Sense

**Chapter 2. Graphs, Lines, and Inequalities**

2.1 Graphs

2.2 Equations of Lines

2.3 Linear Models

2.4 Linear Inequalities

2.5 Polynomial and Rational Inequalities

Case 2: Using Extrapolation to Predict Life Expectancy

**Chapter 3. Functions and Graphs**

3.1 Functions

3.2 Graphs of Functions

3.3 Applications of Linear Functions

3.4 Quadratic Functions

3.5 Applications of Quadratic Functions

3.6 Polynomial Functions

3.7 Rational Functions

Case 3: Architectural Arches

**Chapter 4. Exponential and Logarithmic Functions**

4.1 Exponential Functions

4.2 Applications of Exponential Functions

4.3 Logarithmic Functions

4.4 Logarithmic and Exponential Equations

Case 4: Characteristics of the Monkeyface Prickleback

**Chapter 5. Mathematics of Finance**

5.1 Simple Interest and Discount

5.2 Compound Interest

5.3 Future Value of an Annuity and Sinking Funds

5.4 Present Value of an Annuity and Amortization

Case 5: Time, Money, and Polynomials

**Chapter 6. Systems of Linear Equations and Matrices**

6.1 Systems of Linear Equations

6.2 The Gauss-Jordan Method

6.3 Basic Matrix Operations

6.4 Matrix Products and Inverses

6.5 Applications of Matrices

Case 6: Matrix Operations and Airline Route Maps

**Chapter 7. Linear Programming**

7.1 Graphing Linear Inequalities in Two Variables

7.2 Linear Programming: The Graphical Method

7.3 Applications of Linear Programming

7.4 The Simplex Method: Maximization

7.5 Maximization Applications

7.6 The Simplex Method: Duality and Minimization

7.7 The Simplex Method: Nonstandard Problems

Case 7: Cooking with Linear Programming

**Chapter 8. Sets and Probability**

8.1 Sets

8.2 Applications of Venn Diagrams

8.3 Introduction to Probability

8.4 Basic Concepts of Probability

8.5 Conditional Probability and Independent Events

8.6 Bayes' Formula

Case 8: Medical Diagnosis

**Chapter 9. Counting, Probability Distributions, and Further Topics in Probability**

9.1 Probability Distributions and Expected Value

9.2 The Multiplication Principle, Permutations, and Combinations

9.3 Applications of Counting

9.4 Binomial Probability

9.5 Markov Chains

9.6 Decision Making

Case 9: Optimal Inventory for a Service Truck

**Chapter 10. Introduction to Statistics**

10.1 Frequency Distributions and Measures of Central Tendency

10.2 Measures of Variation

10.3 Normal Distributions

10.4 Normal Approximation to the Binomial Distribution

Case 10: Statistics in the Law-The Castaneda Decision