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

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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.

Christopher Stocker received his B.S. in mathematics and computer science from St. John’s University in Minnesota and his M.A. and Ph.D. degrees in mathematics from the University of Illinois in Urbana-Champaign.  He is currently an Adjunct Assistant Professor in the Department of Mathematics, Statistics, and Computer Science of Marquette University.  He has published eight research articles in the areas of graph theory and combinatorics.

I. 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 Summary and 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 Summary and Review 

Review Exercises 

II. 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 Summary and 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 Summary and 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 Summary and 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 Problem: Minimization with Problem Constraints of the Form ≥ 

6.4 Maximization and Minimization with Mixed Problem Constraints 

Chapter 6 Summary and 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 Summary and 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 Variable, Probability Distribution, and Expected Value 

Chapter 8 Summary and Review 

Review Exercises 

9. Markov Chains 

9.1 Properties of Markov Chains 

9.2 Regular Markov Chains 

9.3 Absorbing Markov Chains 

Chapter 9 Summary and Review

Review Exercises 

10. Data Description and Probability Distributions 

10.1 Graphing Data 

10.2 Measures of Central Tendency

10.3 Measures of Dispersion 

10.4 Bernoulli Trials and Binomial Distributions 

10.5 Normal Distributions

Chapter 10 Summary and Review 

Review Exercises

11. Games and Decisions (online at goo.gl/6VBjkQ) 

11.1 Strictly Determined Games 

11.2 Mixed-Strategy Games 

11.3 Linear Programming and 2 x 2 Games: A Geometric Approach 

11.4 Linear Programming and m x n Games: Simplex Method and the Dual Problem

Chapter 11 Summary and Review 

Review Exercises 

Appendix A: Basic Algebra Review 

A.1 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 

Appendix B:  Special Topics (online at goo.gl/mjbXrG)  

B.1 Sequences, Series, and Summation Notation 

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem 

Appendix C: Area under the Standard Normal Curve 

Answers

Index

Index of Applications 

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