Finite Mathematics for the Managerial, Life, and Social Sciences

ISBN-10: 0840048149
ISBN-13: 9780840048141
Edition: 10th 2012
Authors: Tan, Soo T. Tan
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Book details

List price: $270.95
Edition: 10th
Copyright year: 2012
Publisher: Brooks/Cole
Publication date: 1/1/2011
Binding: Hardcover
Pages: 656
Size: 8.50" wide x 10.75" long x 1.00" tall
Weight: 3.388
Language: English

Soo T. Tan has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension. This awareness led to the intuitive approach I have adopted in all of my texts."

Preface
Straight Lines and Linear Functions
The Cartesian Coordinate System
Straight Lines
Using Technology: Graphing a Straight Line
Linear Functions and Mathematical Models
Using Technology: Evaluating a Function
Intersection of Straight Lines
Using Technology: Finding the Point(s) of Intersection of Two Graphs
The Method of Least Squares
Portfolio
Using Technology: Finding an Equation of a Least-Squares Line
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Systems Of Linear Equations And Matrices
Systems of Linear Equations: An Introduction
Systems of Linear Equations: Unique Solutions
Using Technology: Systems of Linear Equations
Unique Solutions
Systems of Linear Equations: Underdetermined and Overdetermined Systems
Using Technology: Systems of Linear Equations
Underdetermined and Overdetermined Systems
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
Using Technology: The Leontief Input--Output Model
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Linear Programming: A Geometric Approach
Graphing Systems of Linear Inequalities in Two Variables
Linear Programming Problems
Graphical Solutions of Linear Programming Problems
Sensitivity Analysis
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
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
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Mathematics Of Finance
Compound IntereSt. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment
Annuities
Using Technology: Finding the Amount of an Annuity
Amortization and Sinking Funds
Using Technology: Amortizing a Loan
Arithmetic and Geometric Progressions
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Sets And Counting
Sets and Set Operations
The Number of Elements in a Finite Set
The Multiplication Principle
Permutations and Combinations
Portfolio
Using Technology: Evaluating n!, P (n,r) and C (n,r)
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
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
Concept Review Questions
Review Exercises
Before Moving On
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
Concept Review Questions
Review Exercises
Before Moving On
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
Portfolio
Games with Mixed Strategies
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Introduction to Logic
Propositions and Connectives
Truth Tables
The Conditional and the Biconditional Connectives
Laws of Logic
Arguments
Applications of Logic to Switching Networks
The System of Real Numbers
A Review of Logarithms
Tables
Binomial Probabilities
The Standard Normal Distribution
Answers to Odd-Numbered Exercises
Index

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