Finite Mathematics Non-Infotrac Version

by Waner, Stefan; Costenoble, Steven R.

• ISBN13: 9780534419578
• ISBN10: 0534419577
• Format: Hardcover
• Copyright: 2003-12-01
• Publisher: Cengage Learning

Summary

Capturing student interest with a wealth of relevant, real world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS, Fourth Edition makes the material come alive for students! Providing maximum flexibility with the use of technology, the book integrates the use of spreadsheets and graphing calculators with instructions for Microsoft Excel and the TI-83. This technology material is clearly delineated so instructors can use as much or as little as they would like for their course. The popular accompanying website also provides a wealth of interactive tutorials, exercises, and online support. Connecting with all types of teaching and learning styles, Waner/Costenoble supports a wide range of instructional paradigms: from traditional lecture to a hybrid course to distance learning.

Table of Contents

Functions and Linear Models

Functions from the Numerical and Algebraic Viewpoints

Functions from the Graphical Viewpoint

Linear Functions

Linear Models

Linear Regression

Modeling Spending on Internet Advertising

Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions

Systems of Linear Equations and Matrices

Systems of Two Equations in Two Unknowns

Using Matrices to Solve Systems of Equations

Applications of Systems of Linear Equations

The Impact of Regulating Sulfur Emissions

Matrix Algebra and Applications

Matrix Addition and Scalar Multiplication

Matrix Multiplication

Matrix Inversion

Input-Output Models

Chapter Project: The Japanese Economy

Linear Programming

Graphing Linear Inequalities

Solving Linear Programming Problems Graphically

The Simplex Method: Solving Standard Maximization Problems

The Simplex Method: Solving General Linear Programming Problems

The Simplex Method and Duality (Optional)

Chapter Project: Airline Scheduling

The Mathematics of Finanace

Simple Interest

Compound Interest

Annuities, Loans, and Bonds

Chapter Project: Saving for College

Sets and Counting

Set Operations

Cardinality

The Addition and Multiplication Principles

Permutations and Combinations

Designing a Puzzle

Probability

Sample Spaces and Events

Estimated Probability

Empirical Probability

Probability and Counting Techniques

Probability Distributions

Conditional Probability and Independence

Bayes' Theorem and Applications

Chapter Project: The Monty Hall Problem

Random Variables and Statistics

Random Variables and Distributions

Bernoulli Trials and Binomial Random Variables

Measures of Central Tendency

Measures of Dispersion

Normal Distributions

Chapter Project: Spotting Tax Fraud with Benford's Law

Optional Internet Topics: Sampling Distributions and the Central Limit Theorem

Confidence Intervals

Hypothesis Testing

Markov Systems

Markov Systems

Distribution Vectors and Powers of the Transition Matrix

Long-Range Behavior of Regular Markov Systems

Absorbing Markov Systems

Chapter Project: Predicting the Price of Gold

AppendiceS

Real Numbers

Table: Area Under a Normal Curve

Optional Internet Chapters

G. Game Theory

Two-Person Zero Sum Games

Reduction by Dominance

Strictly Determined Games

Solving Games using the Simplex Method

Expert Opinion--Harvesting Forests

L. Introduction to Logic

Statements and Logical Operators

Logical Equivalence, Tautologies and Contradictions

The Conditional and the Biconditional

Tautological Implications and Tautological Equivalences

Rules of Inference

Arguments and Proofs

Table of Contents provided by Publisher. All Rights Reserved.