Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences

by Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

• ISBN13: 9780321945525
• ISBN10: 0321945522
• Edition: 13th
• Format: Hardcover
• Copyright: 2014-01-06
• Publisher: Pearson

Summary

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Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10: 0321947622 /ISBN-13: 9780321947628.

That package includes ISBN-10: 0321431308 /ISBN-13: 9780321431301,  ISBN-10: 0321654064/ISBN-13:978032165406, and ISBN-10: 0321945522/ISBN-13: 9780321945525.

MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.

Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market–with special emphasis on prerequisites skills–and a host of student-friendly features to help students catch up or learn on their own.

 

 

Author Biography

Raymond A. Barnett, a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Raymond Barnett has authored or co-authored eighteen textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish.

 

Michael R. Ziegler (late) received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing post doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and co-authored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.

 

Karl E. Byleen received his B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups.

Table of Contents

Diagnostic Prerequisite Test

 

PART ONE: A LIBRARY OF ELEMENTARY FUNCTIONS

 

1. Linear Equations and Graphs

1.1 Linear Equations and Inequalities

1.2 Graphs and Lines

1.3 Linear Regression

            Chapter 1 Review

            Review Exercises

 

2. Functions and Graphs

2.1 Functions

2.2 Elementary Functions: Graphs and Transformations

2.3 Quadratic Functions

2.4 Polynomial and Rational Functions

2.5 Exponential Functions

2.6 Logarithmic Functions

            Chapter 2 Review

            Review Exercises

 

PART TWO: FINITE MATHEMATICS

 

3. Mathematics of Finance

3.1 Simple Interest

3.2 Compound and Continuous Compound Interest

3.3 Future Value of an Annuity; Sinking Funds

3.4 Present Value of an Annuity; Amortization

            Chapter 3 Review

            Review Exercises

 

4. Systems of Linear Equations; Matrices

4.1 Review: Systems of Linear Equations in Two Variables

4.2 Systems of Linear Equations and Augmented Matrices

4.3 Gauss-Jordan Elimination

4.4 Matrices: Basic Operations

4.5 Inverse of a Square Matrix

4.6 Matrix Equations and Systems of Linear Equations

4.7 Leontief Input-Output Analysis

            Chapter 4 Review

            Review Exercises

 

5. Linear Inequalities and Linear Programming

5.1 Linear Inequalities in Two Variables

5.2 Systems of Linear Inequalities in Two Variables

5.3 Linear Programming in Two Dimensions: A Geometric Approach

            Chapter 5 Review

            Review Exercises

 

6. Linear Programming: The Simplex Method

6.1 the Table Method: An Introduction to the Simplex Method

6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤

6.3 The Dual; Minimization with Problem Constraints of the form ≥

6.4 Maximization and Minimization with Mixed Problem Constraints

            Chapter 6 Review

            Review Exercises

 

7. Logic, Sets, and Counting

7.1 Logic

7.2 Sets

7.3 Basic Counting Principles

7.4 Permutations and Combinations

            Chapter 7 Review

            Review Exercises

 

8. Probability

8.1 Sample Spaces, Events, and Probability

8.2 Union, Intersection, and Complement of Events; Odds

8.3 Conditional Probability, Intersection, and Independence

8.4 Bayes' Formula

8.5 Random Variables, Probability Distribution, and Expected Value

            Chapter 8 Review

            Review Exercises

 

9. Markov Chains

9.1 Properties of Markov Chains

9.2 Regular Markov Chains

9.3 Absorbing Markov Chains

            Chapter 9 Review

            Review Exercises

 

10. Games and Decisions

10.1 Strictly Determined Games

10.2 Mixed Strategy Games

10.3 Linear Programming and 2 x 2 Games—Geometric Approach

10.4 Linear Programming and m x n Games—Simplex Method and the Dual

            Chapter 10 Review

            Review Exercises

 

11. Data Description and Probability Distributions

11.1 Graphing Data

11.2 Measures of Central Tendency

11.3 Measures of Dispersion

11.4 Bernoulli Trials and Binomial Distributions

11.5 Normal Distributions

            Chapter 11 Review

            Review Exercises

 

APPENDICES

A. Basic Algebra Review

A.1 Algebra and Real Numbers

A.2 Operations on Polynomials

A.3 Factoring Polynomials

A.4 Operations on Rational Expressions

A.5 Integer Exponents and Scientific Notation

A.6 Rational Exponents and Radicals

A.7 Quadratic Equations

 

B. Special Topics

B.1 Sequences, Series, and Summation Notation

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem

 

C. Tables

Table I. Area Under the Standard Normal Curve

Table II. Basic Geometric Formulas

 

Answers

Index

Applications Index