Cover image for Finite mathematics for the managerial, life, and social sciences
Title:
Finite mathematics for the managerial, life, and social sciences
Personal Author:
Edition:
7th ed.
Publication Information:
Pacific Grove, CA. : Brooks Cole, 2003
ISBN:
9780534394202
General Note:
Rev. ed. : Applied finite mathematics
Subject Term:

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30000010059889 QA39.2 T37 2003 Open Access Book Book
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Summary

Summary

In the market-leading FINITE MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accurate, accessible presentation of mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Seventh Edition includes highly interesting current applications and Microsoft Excel exercises to help stimulate student motivation. An exciting new array of supplements provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.


Table of Contents

1 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
2 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 I
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
3 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
4 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
5 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
6 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
7 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
8 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
9 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
Appendix A Introduction to Logic
Propositions and Connectives
Truth Tables
The Conditional and Biconditional Connectives
Laws of Logic
Arguments
Applications of Logic to Switching Networks
Appendix B The System of Real Numbers
Appendix C Tables
Binomial Probabilities
The Standard Normal Distribution
Answers to Odd-Numbered Exercises
Index