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9780470458273

Finite Mathematics An Applied Approach

by
  • ISBN13:

    9780470458273

  • ISBN10:

    0470458275

  • Edition: 11th
  • Format: Hardcover
  • Copyright: 2011-09-06
  • Publisher: Wiley

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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.

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