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Finite Mathematics: For the Managerial, Life, and Social Sciences

ISBN: 9780534492144 | 0534492142
Edition: 8th
Format: Hardcover
Publisher: Brooks Cole
Pub. Date: 2/17/2005

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SummaryTable of Contents
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 focu... MORE
Prefacex
Straight Lines and Linear Functions
1(70)
The Cartesian Coordinate System
2(8)
... MORE
Straight Lines
10(18)
Using Technology: Graphing a Straight Line
24(4)
Linear Functions and Mathematical Models
28(14)
Using Technology: Evaluating a Function
39(3)
Intersection of Straight Lines
42(12)
Using Technology: Finding the Point(s) of Intersection of Two Graphs
52(2)
The Method of Least Squares
54(17)
Using Technology: Finding an Equation of a Least-Squares Line
63(4)
Chapter 1 Summary of Principal Formulas and Terms
67(1)
Chapter 1 Concept Review Questions
67(1)
Chapter 1 Review Exercises
68(1)
Chapter 1 Before Moving On
69(2)
Systems of Linear Equations and Matrices
71(96)
Systems of Linear Equations: An Introduction
72(8)
Systems of Linear Equations: Unique Solutions
80(17)
Using Technology: Systems of Linear Equations: Unique Solutions
94(3)
Systems of Linear Equations: Underdetermined and Overdetermined Systems
97(11)
Using Technology: Systems of Linear Equations: Underdetermined and Overdetermined Systems
106(2)
Matrices
108(13)
Using Technology: Matrix Operations
118(3)
Multiplication of Matrices
121(15)
Using Technology: Matrix Multiplication
134(2)
The Inverse of a Square Matrix
136(17)
Using Technology: Finding the Inverse of a Square Matrix
150(3)
Leontief Input--Output Model
153(14)
Using Technology: The Leontief Input--Output Model
160(3)
Chapter 2 Summary of Principal Formulas and Terms
163(1)
Chapter 2 Concept Review Questions
163(1)
Chapter 2 Review Exercises
164(2)
Chapter 2 Before Moving On
166(1)
Linear Programming: A Geometric Approach
167(48)
Graphing Systems of Linear Inequalities in Two Variables
168(8)
Linear Programming Problems
176(9)
Graphical Solution of Linear Programming Problems
185(13)
Sensitivity Analysis
198(17)
Portfolio: Morgan Wilson
206(6)
Chapter 3 Summary of Principal Terms
212(1)
Chapter 3 Concept Review Questions
212(1)
Chapter 3 Review Exercises
213(1)
Chapter 3 Before Moving On
214(1)
Linear Programming: An Algebraic Approach
215(62)
The Simplex Method: Standard Maximization Problems
216(27)
Using Technology: The Simplex Method: Solving Maximization Problems
238(5)
The Simplex Method: Standard Minimization Problems
243(17)
Using Technology: The Simplex Method: Solving Minimization Problems
255(5)
The Simplex Method: Nonstandard Problems
260(17)
Chapter 4 Summary of Principal Terms
274(1)
Chapter 4 Concept Review Questions
274(1)
Chapter 4 Review Exercises
274(1)
Chapter 4 Before Moving On
275(2)
Mathematics of Finance
277(58)
Compound Interest
278(18)
Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment
292(4)
Annuities
296(13)
Using Technology: Finding the Amount of an Annuity
306(3)
Amortization and Sinking Funds
309(13)
Portfolio: Mark Weddington
313(6)
Using Technology: Amortizing a Loan
319(3)
Arithmetic and Geometric Progressions
322(13)
Chapter 5 Summary of Principal Formulas and Terms
331(1)
Chapter 5 Concept Review Questions
331(1)
Chapter 5 Review Exercises
332(2)
Chapter 5 Before Moving On
334(1)
Sets and Counting
335(44)
Sets and Set Operations
336(10)
The Number of Elements in a Finite Set
346(7)
The Multiplication Principle
353(6)
Portfolio: Stephanie Molina
356(3)
Permutations and Combinations
359(20)
Using Technology: Evaluating n!, P(n, r), and C(n, r)
373(1)
Chapter 6 Summary of Principal Formulas and Terms
374(1)
Chapter 6 Concept Review Questions
375(1)
Chapter 6 Review Exercises
375(2)
Chapter 6 Before Moving On
377(2)
Probability
379(64)
Experiments, Sample Spaces, and Events
380(8)
Definition of Probability
388(9)
Rules of Probability
397(10)
Portfolio: Todd Good
401(6)
Use of Counting Techniques in Probability
407(7)
Conditional Probability and Independent Events
414(15)
Bayes' Theorem
429(14)
Chapter 7 Summary of Principal Formulas and Terms
438(1)
Chapter 7 Concept Review Questions
439(1)
Chapter 7 Review Exercises
439(2)
Chapter 7 Before Moving On
441(2)
Probability Distributions and Statistics
443(68)
Distributions of Random Variables
444(10)
Using Technology: Graphing a Histogram
451(3)
Expected Value
454(13)
Portfolio: Ann-Marie Martz
461(6)
Variance and Standard Deviation
467(13)
Using Technology: Finding the Mean and Standard Deviation
478(2)
The Binomial Distribution
480(10)
The Normal Distribution
490(9)
Applications of the Normal Distribution
499(12)
Chapter 8 Summary of Principal Formulas and Terms
507(1)
Chapter 8 Concept Review Questions
508(1)
Chapter 8 Review Exercises
508(1)
Chapter 8 Before Moving On
509(2)
Markov Chains and the Theory of Games
511(60)
Markov Chains
512(11)
Using Technology: Finding Distribution Vectors
522(1)
Regular Markov Chains
523(12)
Using Technology: Finding the Long-Term Distribution Vector
533(2)
Absorbing Markov Chains
535(8)
Game Theory and Strictly Determined Games
543(10)
Games with Mixed Strategies
553(18)
Chapter 9 Summary of Principal Formulas and Terms
566(1)
Chapter 9 Concept Review Questions
567(1)
Chapter 9 Review Exercises
567(2)
Chapter 9 Before Moving On
569(2)
APPENDIX A Introduction to Logic
571(27)
Propositions and Connectives
572(4)
Truth Tables
576(3)
The Conditional and Biconditional Connectives
579(5)
Laws of Logic
584(4)
Arguments
588(6)
Applications of Logic to Switching Networks
594(4)
APPENDIX B The System of Real Numbers
598(3)
APPENDIX C Tables
601(8)
Table 1: Binomial Probabilities
602(4)
Table 2: The Standard Normal Distribution
606(3)
Answers to Odd-Numbered Exercises609(34)
Index643

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