Interactive Finite Mathematics -- MyLab Math with Pearson eText Access Code

About our authors Nathan P. Ritchey earned a B.A. in Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned an M.S. in Applied Mathematics and a Ph.D. in Mathematics from Carnegie Mellon University. He is former chair of the Department of Mathematics and Statistics at Youngstown State University and is currently a professor in the Department of Mathematics at Kent State University. He has published articles in economics, honors education, medicine, mathematics, operations research and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations. In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's "People Who Make a Difference Award," the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program. Brian Rickard earned a B.S. in Mathematics, ME.d. in Higher Education, and a Ph.D. in Educational Statistics and Research Methods at the University of Arkansas. He joined the faculty of the J. William Fulbright College of Arts and Sciences at the University of Arkansas in 2009 where he is currently a Teaching Assistant Professor in the Department of Mathematical Sciences. In 2013 he was chosen to coordinate and overhaul the Finite Mathematics course into a flipped course and later an online course. He has created over 170 mathematics videos currently in use in Pearson products and conducts research in competing risks analysis, retention and graduation, and university tutoring centers. Roneet Merkin earned a B.A. in Mathematics from Barnard College and a Master’s degree in Mathematics from City College of New York. She joined the faculty at Florida International University in 2014, where she is currently an Instructor in the Department of Mathematics and Statistics as well as Program Director for the Mastery Math Lab. In 2015 she redesigned FIU's online Finite Math course, and in 2016 she co-designed their hybrid Finite Math course. Additionally, Roneet has helped transform several of FIU's 1000-level courses into inquiry-based, active learning courses. She has written over 100 conceptual questions currently in use in the Pearson Finite MyLab Math course by Lial/Greenwell/Ritchey. Roneet's passion is not just teaching math but making math more teachable.

1. Linear Functions

1-1 Slopes and Equations of Lines
1-2 Linear Functions and Applications
1-3 The Least Squares Line
Chapter Review
Extended Application: Using Extrapolation to Predict Life Expectancy

2. Systems of Linear Equations and Matrices

2-1 Solution of Linear Systems by the Echelon Method 2-2 Solution of Linear Systems by the Gauss-Jordan Method
2-3 Addition and Subtraction of Matrices
2-4 Multiplication of Matrices
2-5 Matrix Inverses
2-6 Input-Output Models
Chapter Review
Extended Application: Contagion

3. Linear Programming: The Graphical Method

3-1 Graphing Linear Inequalities
3-2 Solving Linear Programming Problems Graphically
3-3 Applications of Linear Programming
Chapter Review

4. Linear Programming: The Simplex Method

4-1 Slack Variables and the Pivot
4-2 Maximization Problems
4-3 Minimization Problems; Duality
4-4 Nonstandard Problems
Chapter Review
Extended Application: Using Integer Programming in the Stock-Cutting Problem

5. Mathematics of Finance

5-1 Simple and Compound Interest
5-2 Future Value of an Annuity
5-3 Present Value of an Annuity; Amortization
Chapter Review
Extended Application: Time, Money, and Polynomials

6. Logic

6-1 Statements
6-2 Truth Tables and Equivalent Statements
6-3 The Conditional and Circuits
6-4 More on the Conditional
6-5 Analyzing Arguments and Proofs
6-6 Analyzing Arguments with Quantifiers
Chapter Review
Extended Application: Logic Puzzles

7. Sets and Probability

7-1 Sets
7-2 Applications of Venn Diagrams
7-3 Introduction to Probability
7-4 Basic Concepts of Probability
7-5 Conditional Probability; Independent Events
7-6 Bayes' Theorem
Chapter Review
Extended Application: Medical Diagnosis

8. Counting Principles: Further Probability Topics

8-1 The Multiplication Principle; Permutations
8-2 Combinations
8-3 Probability Applications of Counting Principles
8-4 Binomial Probability
8-5 Probability Distributions; Expected Value
Chapter Review
Extended Application: Optimal Inventory for a Service Truck

9. Statistics

9-1 Frequency Distributions; Measures of Central Tendency
9-2 Measures of Variation
9-3 The Normal Distribution
9-4 Normal Approximation to the Binomial
Distribution
Chapter Review
Extended Application: Statistics in the Law - The Castaneda Decision

10. Markov Chains

10-1 Basic Properties of Markov Chains
10-2 Regular Markov Chains
10-3 Absorbing Markov Chains
Chapter Review
Extended Application: A Markov Chain Model for Teacher Retention

11. Game Theory

11.1 Strictly Determined Games
11.2 Mixed Strategies
11.3 Game Theory and Linear Programming
Chapter Review
Extended Application: The Prisoner's Dilemma - Non-Zero-Sum Games in Economics

R. Algebra Reference

R-1 Polynomials
R-2 Factoring
R-3 Rational Expressions
R-4 Equations
R-5 Inequalities
R-6 Exponents
R-7 RadicalsArea Under a Normal CurveAnswers to Selected ExercisesPhoto AcknowledgementsIndex