# Finite Mathematics, 12th edition

• Margaret L. Lial,
• Raymond N. Greenwell,
• Nathan P Ritchey,

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## Overview

Finite Mathematics, 12th Edition prepares you for career success with timely applications throughout. Known for using real data in their examples and exercises, the authors make mathematics meaningful and relevant in the narrative, examples, exercise sets and supplementary resources. You'll have ample opportunity to relate what you're learning to career situations through the Apply It question at the beginning of sections, the applied examples and exercises, and the Extended Application at the end of each chapter.

ISBN-13: 9780137423804

Subject: Finite Math & Applied Calculus

Category: Finite Math

## Overview

Preface

Prerequisite Skills Diagnostic Test

R. Algebra Reference
R.1 Polynomials
R.2 Factoring
R.3 Rational Expressions
R.4 Equations
R.5 Inequalities
R.6 Exponents

1. Linear Functions
1.1 Slopes and Equations of Lines
1.2 Linear Functions and Applications
1.3 The Least Squares Line
Chapter 1 Review
Extended Application: Predicting 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 2 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 3 Review
Extended Application: Sensitivity Analysis

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 4 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 5 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 6 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 7 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 8 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 9 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 10 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 11 Review
Extended Application: The Prisoner's Dilemma--Non-Zero-Sum Games in Economics

Appendix
A. Solutions to Prerequisite Skills Diagnostic Test
B. Logarithms
C. Area Under a Normal Curve
Credits
Index of Applications
Index
Sources

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