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Finite Mathematics

Finite Mathematics - 03 edition

ISBN13: 978-0130199584

Cover of Finite Mathematics 03 (ISBN 978-0130199584)
ISBN13: 978-0130199584
ISBN10: 0130199583
Cover type:
Edition/Copyright: 03
Publisher: Prentice Hall, Inc.
Published: 2003
International: No

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Finite Mathematics - 03 edition

ISBN13: 978-0130199584

Bill Armstrong and Don Davis

ISBN13: 978-0130199584
ISBN10: 0130199583
Cover type:
Edition/Copyright: 03
Publisher: Prentice Hall, Inc.

Published: 2003
International: No
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

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