This book, 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. The book features exercises based on data form the World Wide Web, technology options for those who wish to use a graphing calculator, review boxes, strategic checkpoints, interactive activities, section summaries and projects, and chapter openers and reviews. For anyone who wants to see and understand how mathematics are used in everyday life.
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
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