Finite Mathematics, 12th edition

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

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Overview

Finite Mathematics prepares you for success in your future career with timely applications incorporated throughout. Known for using real data in their examples and exercises, the authors make mathematics relevant and accessible throughout the narrative, examples, and exercise sets.

Published by Pearson (July 6th 2021) - Copyright © 2022

ISBN-13: 9780137423804

Subject: Finite Math & Applied Calculus

Category: Finite Math

Table of contents

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
R.7 Radicals

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
Answers to Selected Exercises
Credits
Index of Applications
Index
Sources

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