Finite Mathematics An Applied Approach

by Sullivan, Michael

• ISBN13: 9780470458273
• ISBN10: 0470458275
• eBook ISBN(s): 9780470914069
• Edition: 11th
• Format: Hardcover
• Copyright: 2011-09-06
• Publisher: Wiley
• More Book Details

Summary

ü Chapter Opening and Chapter Project: Each chapter begins with a situation and ends with a related project.ü A Look Back… A Look Forward: Each chapter begins with a discussion of the relationship between what has been learned earlier and what is coming next.ü Objectives: Each section begins with a list of learning objectives. The objectives also appear in the text where the objective is covered and are repeated in the Chapter Review along with Review Exercises that relate to the objective.ü Preparing For This Section: Most sections begin with a list of key concepts to review in preparation for the section. Page references are provided for easy access. Related "Are You Prepared?" problems are given at the beginning of the exercise set to help students assess their understanding of these concepts. ü Now Work Problems:

Author Biography

Michael Sullivan is Professor Emeritus in the Department of Mathematics and Computer Science at Chicago State University where he taught for 35 years before retiring a few years ago. Dr. Sullivan is a member of American Mathematical Society, the Mathematical Association of America, and the American Mathematical Association of Two Year Colleges. He is President of Text and Academic Authors Association and represents that organization on the Authors Coalition of America, Mike has been writing textbooks in mathematics for over 30 years. He currently has 13 books in print: 3 texts with John Wiley & Sons and 10 with Prentice-Hall. Six of these titles are co-authored with his son, Michael Sullivan III. He has four children: Kathleen, who teaches college mathematics; Michael, who teaches college mathematics, Dan who is a Prentice-Hall sales representative, and Colleen, who teaches middle school mathematics. Nine grandchildren round out the family.

Table of Contents

Linear Equations

Lines

Pairs of Lines

Applications to Business and Economics

Scatter Diagrams; Linear Curve Fitting

Chapter Review

Chapter Project

Systems of Linear Equations

Systems of Linear Equations: Substitution; Elimination

Systems of Linear Equations: Gauss-Jordan Method

Systems of m Linear Equations Containing n Variables

Chapter Review

Chapter Project

Matrices

Matrix Algebra

Multiplication of Matrices

The Inverse of a Matrix

Applications in Economics (the Leontief Model), Accounting, and

Statistics (the Method of Least Squares)

Chapter Review

Chapter Project

Linear Programming with Two Variables

Systems of Linear Inequalities

A Geometric Approach to Linear Programming Problems

Chapter Review

Chapter Project

Linear Programming: Simplex Method

The Simplex Tableau; Pivoting

The Simplex Method; Solving Maximum Problems in Standard Form

Solving Minimum Problems Using the Daily Principle

The Simplex Method for Problems Not in Standard Form

Chapter Review

Chapter Project

Finance

Interest

Compound Interest

Annuities; Sinking Funds

Present Value of an Annuity; Amortization

Annuities and Amortization Using Recursive Sequences

Chapter Review

Chapter Project

Probability

Sets

The Number of Elements in a Set

The Multiplication Principle

Sample Spaces and the Assignment of Probabilities

Properties of the Probability of an Event

Expected Value

Chapter Review

Chapter Project

Bayes' Theorem; The Binomial Probability Model

Conditional Probability

Independent Events

Bayes' Theorem

Permutations

Combinations

The Binomial Probability Model

Chapter Review

Chapter Project

Statistics

Introduction to Statistics: Data and Sampling

Representing Qualitative Data Graphically: Bar Graphs; Pie Charts

Organizing and Displaying Quantitative Data

Measures of Central Tendency

Measures of Dispersion

The Normal Distribution

Chapter Review

Chapter Project

Markov Chains; Games

Markov Chains and Transition Matrices

Regular Markov Chains

Absorbing Markov Chains

Two-Person Games

Mixed Strategies

Optimal Strategy in Two-Person Zero-Sum Games with 2 X 2 Matrices

Chapter Review

Chapter Project

Logic

Propositions

Truth Tables

Implications; The Biconditional Connective; Tautologies

Arguments

Logic Circuits

Chapter Review

Chapter Project

Review

Real Numbers

Algebra Essentials

Exponents and Logarithms

Recursive Defined Sequences: Geometric Sequences

Using LINDO to Solve Linear Programming Problems

Graphing Utilities

The Viewing Rectangle

Using a Graphing Utility to Graph Equations

Square Screens

Using a Graphing Utility to Graph Inequalities

Answers to Odd-Numbered Problems

Photo Credits

Index

Table of Contents provided by Publisher. All Rights Reserved.