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Finite Mathematics for the Managerial, Life, and Social Sciences With Infotrac

ISBN: 9780534394202 | 0534394205
Edition: 7th
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 7/30/2002

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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 focus on teaching the core concepts.
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Straight Lines and Linear Functions
2(70)
The Cartesian Coordinate System
3(8)
Straight Lines
11(19)
Using Technology: Graphing a Straight Line
24(6)
Linear Functions and Mathematical Models
30(15)
Portfolio: Carol Busa
36(4)
Using Technology: Evaluating a Function
40(5)
Intersection of Straight Lines
45(11)
Using Technology: Finding the Points of Intersection of Two Graphs
52(4)
The Method of Least Squares
56(16)
Using Technology: Finding an Equation of a Least-Squares Line
64(5)
Chapter 1 Summary of Principal Formulas and Terms
69(1)
Chapter 1 Review Exercises
69(3)
Systems of Linear Equations and Matrices
72(98)
Systems of Linear Equations: An Introduction
73(8)
Systems of Linear Equations: Unique Solutions
81(17)
Using Technology: Systems of Linear Equations: Unique Solutions
94(4)
Systems of Linear Equations: Underdetermined and Overdetermined System
98(12)
Using Technology: Systems of Linear Equations: Underdetermined and Overdetermined systems
108(2)
Matrices
110(13)
Using Technology: Matrix Operations
118(5)
Multiplication of Matrix
123(16)
Using Technology: Matrix Multiplication
134(5)
The Inverse of a Square Matrix
139(17)
Using Technology: Finding the Inverse of a Square Matrix
152(4)
Leontief Input-Output Model
156(14)
Using Technology: The Leontief Input-Output Model
164(3)
Chapter 2 Summary of Principal Formulas and Terms
167(1)
Chapter 2 Review Exercises
168(2)
Linear Programming: A Geometric Approach
170(48)
Graphing Systems of Linear Inequalities in Two Variables
171(8)
Linear Programming Problems
179(10)
Portfolio: Leanne Jenkins
184(5)
Graphical Solution of Linear Programming Problems
189(13)
Sensitivity Analysis
202(16)
Chapter 3 Summary of Principal Terms
216(1)
Chapter 3 Review Exercises
216(2)
Linear Programming: An Algebraic Approach
218(62)
The Simplex Method: Standard Maximization Problems
219(28)
Portfolio: Harley Lance Kaplan
235(7)
Using Technology: The Simplex Method: Solving Maximization Problems
242(5)
The Simplex Method: Standard Minimization Problems
247(18)
Using Technology: The Simplex Method: Solving Minimization Problems
260(5)
The Simplex Method: Nonstandard Problems
265(15)
Chapter 4 Summary of Principal Terms
278(1)
Chapter 4 Review Exercises
279(1)
Mathematics of Finance
280(54)
Compound Interest
281(16)
Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment
292(5)
Annuities
297(12)
Using Technology: Finding the Amount of an Annuity
306(3)
Amortization and Sinking Funds
309(13)
Portfolio: John Decker
314(4)
Using Technology: Amortizing a Loan
318(4)
Arithmetic and Geometric Progressions
322(12)
Chapter 5 Summary of Principal Formulas and Terms
331(1)
Chapter 5 Review Exercises
331(3)
Sets and Counting
334(45)
Sets and Set Operations
335(11)
The Number of Elements in a Finite Set
346(7)
The Multiplication Principle
353(7)
Portfolio: John L. Higgins
358(2)
Permutations and Combinations
360(19)
Using Technology: Evaluating n!, P(n, r), and C(n, r)
372(4)
Chapter 6 Summary of Principal Formulas and Terms
376(1)
Chapter 6 Review Exercises
376(3)
Probability
379(61)
Experiments, Sample Spaces, and Events
380(9)
Definition of Probability
389(9)
Rules of Probability
398(8)
Use of Counting Techniques in Probability
406(8)
Conditional Probability and Independent Events
414(14)
Bayes' Theorem
428(12)
Chapter 7 Summary of Principal Formulas and Terms
437(1)
Chapter 7 Review Exercises
438(2)
Probability Distributions and Statistics
440(66)
Distributions of Random Variables
441(11)
Using Technology: Graphing a Histogram
448(4)
Expected Value
452(13)
Portfolio: Lilli Meiselman
464(1)
Variance and Standard Deviation
465(12)
Using Technology: Finding the Mean and Standard Deviation
474(3)
The Binomial Distribution
477(10)
The Normal Distribution
487(9)
Applications of the Normal Distribution
496(10)
Chapter 8 Summary of Principal Formulas and Terms
504(1)
Chapter 8 Review Exercises
505(1)
Markov Chains and the Theory of Games
506(59)
Markov Chains
507(12)
Using Technology: Finding Distribution Vectors
516(3)
Regular Markov Chains
519(12)
Using Technology: Finding the Long-Term Distribution Vector
528(3)
Absorbing Markov Chains
531(8)
Game Theory and Strictly Determined Games
539(10)
Games with Mixed Strategies
549(16)
Chapter 9 Summary of Principal Formulas and Terms
561(1)
Chapter 9 Review Exercises
562(3)
APPENDIX A Introduction to Logic565(28)
A.1 Propositions and Connectives
566(5)
A.2 Truth Tables
571(2)
A.3 The Conditional and the Biconditional Connectives
573(6)
A.4 Laws of Logic
579(4)
A.5 Arguments
583(6)
A.6 Applications of Logic to Switching Networks
589(4)
APPENDIX B The System of Real Numbers593(3)
APPENDIX C Tables596(7)
Table 1: Binomial Probabilities
597(4)
Table 2: The Standard Normal Distribution
601(2)
Answers to Odd-Numbered Exercises603(32)
Index635

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