DOC PREVIEW
TAMU MATH 166 - Applied Finite Mathematics

This preview shows page 1-2-3-4-5-6-44-45-46-47-48-49-50-89-90-91-92-93-94 out of 94 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 94 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

Applied Finite MathematicsTomastik/EpsteinApplied Finite Mathematics, Second EditionEdmond C. Tomastik, University of ConnecticutJanice L. Epstein, Texas A&M UniversityEditor: Carolyn CrockettEditorial Assistant: Rebecca DashiellMarketing Manager: Myriah FitzgibbonTechnical Editor: Mary KanableIllustrator: Jennifer TribblePhotographs: Janice Epstein©1994, 2008 Brooks/Cole, Cengage LearningALL RIGHTS RESERVED. No part of this work covered by the copyrightherein may be reproduced, transmitted, stored, or used in any form or by anymeans graphic, electronic, or mechanical, including but not limited to photo-copying, recording, scanning, digitizing, taping, Web distribution, informationnetworks, or information storage and retrieval systems, except as permittedunder Section 107 or 108 of the 1976 United States Copyright Act, withoutthe prior written permission of the publisher.For product information and technology assistance, contact us atCengage Learning Customer & Sales Support, 1-800-354-9706.For permission to use material from this text or product, submit allrequests online at cengage.com/permissions.Further permissions questions can be e-mailed [email protected] of Congress Control Number: 2008927157ISBN-13: 978-0-495-55533-9ISBN-10: 0-495-55533-9Brooks/Cole10 Davis DriveBelmont, CA 94002-3098USACengage Learning is a leading provider of customized learning solutions withoffice locations around the globe, including Singapore, the United Kingdom,Australia, Mexico, Brazil, and Japan. Locate your local office at: interna-tional.cengage.com/region.Cengage Learning products are represented in Canada byNelson Education, Ltd.For your course and learning solutions, visit academic.cengage.com.Purchase any of our products at your local college bookstore or at ourpreferred online store www.ichapters.com.Printed in the United States of America12345671211100908ContentsPreface ivL Logic 2L.1 Introduction to Logic . . . .................... 3L.2 Truth Tables ............................ 81 Sets and Probability 121.1 Introduction to Sets ........................ 131.2 The Number of Elements in a Set ................. 221.3 Sample Spaces and Events . ................... 291.4 Basics of Probability . . . . ................... 371.5 Rules for Probability . . . .................... 441.6 Conditional Probability . . . ................... 531.7 Bayes’ Theorem .......................... 66Review .............................. 742 Counting and Probability 822.1 The Multiplication Principle and Permutations . . . ....... 832.2 Combinations . .......................... 932.3 Probability Applications of Counting Principles . . ....... 1002.4 Bernoulli Trials . . ........................ 1062.5 Binomial Theorem . . . . .................... 112Review .............................. 1163 Probability Distributions and Statistics 1183.1 Random Variables and Histograms ................ 1193.2 Measures of Central Tendency . . . ............... 1313.3 Measures of Spread ........................ 1443.4 The Normal Distribution . . ................... 1573.5 Normal Approximation to the Binomial Distribution . . .... 1673.6 The Poisson Distribution . .................... 175Review .............................. 1834 Systems of Linear Equations and Models 1884.1 Mathematical Models . . . .................... 1894.2 Systems of Linear Equations . .................. 2064.3 Gauss Elimination for Systems of Linear Equations ....... 2174.4 Systems of Linear Equations With Non-Unique Solutions . . . . 2364.5 Method of Least Squares . .................... 254Review .............................. 2665 Matrices 2725.1 Introduction to Matrices . .................... 2735.2 Matrix Multiplication . . . .................... 2835.3 Inverse of a Square Matrix .................... 3005.4 Additional Matrix Applications .................. 312Review .............................. 325M Markov Chains 328M.1 Markov Processes ......................... 329M.2 Regular Markov Processes .................... 339M.3 Absorbing Markov Processes ................... 345Review .............................. 357G Game Theory 360G.1 Decision Making ......................... 361G.2 Mixed Strategy Games . . . ................... 368G.3 Linear Programming and Game Theory ............. 379Review .............................. 388F Finance 392F.1 Simple Interest and Discount ................... 393F.2 Compound Interest ........................ 399F.3 Annuities and Sinking Funds . .................. 408F.4 Present Value of Annuities and Amortization . . . ....... 416Review .............................. 426Area Under a Normal Curve 430Answers to Selected Exercises 432Bibliography 447Index 450PrefaceApplied Finite Mathematics is designed for a finite mathematics course aimedat students majoring in business, management, economics, or the life or socialsciences. The text can be understood by the average student with one year ofhigh school algebra. A wide range of topics is included, giving the instructorconsiderable flexibility in designing a course. Optional technology material isavailable where relevant.Applications truly play a central and prominent role in the text. This is be-cause the text is written for users of mathematics. Thus, for example, a concreteapplied problem is presented first as a motivation before developing a neededmathematical topic. After the mathematical topic has been developed, furtherapplications are given so that the student understands the practical need for themathematics. This is done so consistently and thoroughly that after going com-pleting some chapters, the student should come to believe that mathematics iseverywhere. Indeed, countless applications are drawn from actual referenced ex-amples extracted from journals and other professional texts and papers.No other skill is more important than the ability to translate a real-life prob-lem into an appropriate mathematical format for finding the solution. Studentsoften refer to this process as “word problems.” Whereas linear systems of equa-tions, linear programming problems, and financial problems, for example, caneasily be solved using modern technology, no calculator or computer, now or inthe foreseeable future, can translate these applied problems into the necessarymathematical language. Thus students, in their jobs, will most likely use theirmathematical knowledge to translate applied problems into necessary mathemat-ical models for solution by


View Full Document

TAMU MATH 166 - Applied Finite Mathematics

Download Applied Finite Mathematics
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view Applied Finite Mathematics and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Applied Finite Mathematics 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?