Finite Mathematics for the Managerial, Life, and Social Sciences, Enhanced Review Media Edition (with CD-ROM and CengageNOW, Personal Tutor Printed Access Card)

by Tan, Soo T.

• ISBN13: 9780495387527
• ISBN10: 0495387525
• Edition: 8th
• Format: Hardcover
• Copyright: 2007-05-23
• Publisher: Brooks Cole

Summary

In the market leading Finite Mathematics for the Managerial, Life, and Social Sciences, Soo T. Tan provides an accurate, accessible presentation of finite mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Eighth Edition includes highly interesting, current applications and Microsoft Excel exercises to help stimulate student motivation. An exciting new array of supplements, including Enhanced WebAssign and the Interactive Video Skillbuilder CD-ROM, provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.

Table of Contents

Straight Lines and Linear Functions

The Cartesian Coordinate System

Straight Lines

Using Technology: Graphing a Straight Line

Linear Functions and Mathematical Models

Portfolio

Using Technology: Evaluating a Function

Intersection of Straight Lines

Using Technology: Finding the Points of Intersection of Two Graphs

The Method of Least Squares (Optional)

Using Technology: Finding an Equation of a Least-Squares Line

Summary of Principal Formulas and Terms

Review Exercises

Systems of Linear Equations and Matrices

Systems of Linear Equations: An Introduction

Systems of Linear Equations: Unique Solutions

Using Technology: Solving Systems of Linear Equations

Systems of Linear Equations: Underdetermined and Overdetermined Systems

Using Technology: Solving Systems of Linear Equations II

Matrices

Using Technology: Matrix Operations

Multiplication of Matrices

Using Technology: Matrix Multiplication

The Inverse of a Square Matrix

Using Technology: Finding the Inverse of a Square Matrix

Leontief Input-Output Model (Optional)

Using Technology: The Leontief Input-Output Model

Summary of Principal Formulas and Terms

Review Exercises

Linear Programming: A Geometric Approach

Graphing Systems of Linear Inequalities in Two Variables

Linear Programming Problems

Portfolio

Graphical Solution of Linear Programming Problems

Sensitivity Analysis (Optional)

Summary of Principal Terms

Review Exercises

Linear Programming: An Algebraic Approach

The Simplex Method: Standard Maximization Problems

Portfolio

Using Technology: The Simplex Method: Solving Maximization Problems

The Simplex Method: Standard Minimization Problems

Using Technology: The Simplex Method: Solving

Minimization Problems

The Simplex Method: Nonstandard Problems (Optional)

Summary of Principal Terms

Review Exercises

Mathematics of Finance

Compound Interest

Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Return, and the Present Value of an Investment

Annuities

Using Technology: Finding the Amount of an Annuity

Amortization and Sinking Funds

Portfolio

Using Technology: Amortizing a Loan

Arithmetic and Geometric Progressions (Optional)

Summary of Principal Formulas and Terms

Review Exercises

Sets and Counting

Sets and Set Operations

The Number of Elements in a Finite Set

The Multiplication Principle

Portfolio

Permutations and Combinations

Using Technology: Evaluating n!, P(n, r), and C(n, r)

Summary of Principal Formulas and Terms

Review Exercises

Probability

Experiments, Sample Spaces, and Events

Definition of Probability

Rules of Probability

Use of Counting Techniques in Probability

Conditional Probability and Independent Events

Bayes' Theorem

Summary of Principal Formulas and Terms

Review Exercises

Probability Distributions and Statistics

Distributions of Random Variables

Using Technology: Graphing a Histogram

Expected Value

Portfolio

Variance and Standard Deviation

Using Technology: Finding the Mean and Standard Deviation

The Binomial Distribution

The Normal Distribution

Applications of the Normal Distribution

Summary of Principal Formulas and Terms

Review Exercises

Markov Chains and the Theory of Games

Markov Chains

Using Technology: Finding Distribution Vectors

Regular Markov Chains

Using Technology: Finding the Long-Term Distribution Vector

Absorbing Markov Chains

Game Theory and Strictly Determined Games

Games with Mixed Strategies

Summary of Principal Formulas and Terms

Review Exercises

Introduction to Logic

Propositions and Connectives

Truth Tables

The Conditional and Biconditional Connectives

Laws of Logic

Arguments

Applications of Logic to Switching Networks

The System of Real Numbers

Tables

Binomial Probabilities

The Standard Normal Distribution

Answers to Odd-Numbered Exercises

Index

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