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Applied Finite Mathematics

ISBN: 9780534955625 | 0534955622
Edition: 5th
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 1/7/1997

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SummaryTable of Contents
Includes solutions to odd-numbered exercises in the text.
CHAPTER 1 Straight Lines and Linear Functions
2(68)
1.1 The Cartesian Coordinate System
4(8)
... MORE
1.2 Straight Lines
12(18)
Using Technology: Graphing a Function
28(2)
1.3 Linear Functions and Mathematical Models
30(14)
PORTFOLIO: Carol Busa
34(8)
Using Technology: Evaluating a Function
42(2)
1.4 Intersection of Straight Lines
44(13)
Using Technology: Finding the Points of Intersection of Two Graphs
54(3)
1.5 The Method of Least Squares (Optional)
57(13)
Using Technology: Finding an Equation of a Least-Squares Line
64(3)
Chapter 1 Summary of Principal Formulas and Terms
67(1)
Chapter 1 Review Exercises
68(2)
CHAPTER 2 Systems of Linear Equations and Matrices
70(102)
2.1 Systems of Linear Equations--Introduction
72(9)
2.2 Solving Systems of Linear Equations I
81(19)
Using Technology: Solving Systems of Linear Equations I
96(4)
2.3 Solving Systems of Linear Equations II
100(13)
Using Technology: Solving Systems of Linear Equations II
110(3)
2.4 Matrices
113(12)
Using Technology: Matrix Addition and Subtraction, Scalar Multiplication, and the Transpose of a Matrix
122(3)
2.5 Multiplication of Matrices
125(15)
Using Technology: Matrix Multiplication
136(4)
2.6 The Inverse of a Square Matrix
140(17)
Using Technology: Finding the Inverse of a Square Matrix
152(5)
*2.7 Leontief Input-Output Model (Optional)
157(15)
Using Technology: The Leontief Input-Output Model
164(4)
Chapter 2 Summary of Principal Formulas and Terms
168(1)
Chapter 2 Review Exercises
169(3)
CHAPTER 3 Linear Programming: A Geometric Approach
172(38)
3.1 Graphing Systems of Linear Inequalities in Two Variables
174(9)
3.2 Linear Programming Problems
183(9)
PORTFOLIO Leanne Jenkins
189(3)
3.3 Graphical Solution of Linear Programming Problems
192(18)
Chapter 3 Summary of Principal Terms
207(1)
Chapter 3 Review Exercises
208(2)
CHAPTER 4 Linear Programming: An Algebraic Approach
210(62)
4.1 The Simplex Method: Standard Maximization Problems
212(24)
PORTFOLIO: Harley Lance Kaplan
231(1)
Using Technology: The Simplex Method: Solving Maximization Problems
232(4)
4.2 The Simplex Method: Standard Minimization Problems
236(18)
Using Technology: The Simplex Method: Solving Minimization Problems
250(4)
*4.3 The Simplex Method: Nonstandard Problems (Optional)
254(18)
Chapter 4 Summary of Principal Terms
270(1)
Chapter 4 Review Exercises
270(2)
CHAPTER 5 Mathematics of Finance
272(50)
5.1 Compound Interest
274(14)
Using Technology: Finding the Accumulated Amount of an Investment and Finding the Effective Rate of Interest
286(2)
5.2 Annuities
288(11)
Using Technology: Finding the Amount of an Annuity
296(3)
5.3 Amortization and Sinking Funds
299(11)
PORTFOLIO: John Decker
302(6)
Using Technology: Amortizing a Loan
308(2)
*5.4 Arithmetic and Geometric Progressions (Optional)
310(12)
Chapter 5 Summary of Principal Formulas and Terms
319(1)
Chapter 5 Review Exercises
320(2)
CHAPTER 6 Sets and Counting
322(48)
6.1 Sets and Set Operations
324(11)
6.2 The Number of Elements in a Finite Set
335(7)
6.3 The Multiplication Principle
342(7)
PORTFOLIO: John L. Higgins
346(3)
6.4 Permutations and Combinations
349(21)
Using Technology: Evaluating n!, P(n, r), and C(n, r)
364(2)
Chapter 6 Summary of Principal Formulas and Terms
366(1)
Chapter 6 Review Exercises
367(3)
CHAPTER 7 Probability
370(70)
7.1 Experiments, Sample Spaces, and Events
372(10)
7.2 Definition of Probability
382(10)
7.3 Rules of Probability
392(9)
7.4 Use of Counting Techniques in Probability
401(9)
7.5 Conditional Probability and Independent Events
410(16)
7.6 Bayes' Theorem
426(14)
Chapter 7 Summary of Principal Formulas and Terms
437(1)
Chapter 7 Review Exercises
437(3)
CHAPTER 8 Probability Distributions and Statistics
440(76)
8.1 Distributions of Random Variables
442(12)
Using Technology: Graphing a Histogram
450(4)
8.2 Expected Value
454(14)
PORTFOLIO: Lilli Meiselman
466(2)
8.3 Variance and Standard Deviation
468(12)
Using Technology: Finding the Mean and Standard Deviation
478(2)
8.4 The Binomial Distribution
480(12)
8.5 The Normal Distribution
492(11)
8.6 Applications of the Normal Distribution
503(13)
Chapter 8 Summary of Principal Formulas and Terms
513(1)
Chapter 8 Review Exercises
514(2)
CHAPTER 9 Markov Chains and the Theory of Games
516(67)
9.1 Markov Chains
518(13)
Using Technology: Finding Distribution Vectors
528(3)
9.2 Regular Markov Chains
531(13)
Using Technology: Finding the Long-Term Distribution Vector
542(2)
9.3 Absorbing Markov Chains
544(9)
9.4 Game Theory and Strictly Determined Games
553(12)
9.5 Games with Mixed Strategies
565(18)
Chapter 9 Summary of Principal Formulas and Terms
578(2)
Chapter 9 Review Exercises
580(3)
APPENDIX A Introduction to Logic
583(32)
A.1 Propositions and Connectives
584(6)
A.2 Truth Tables
590(2)
A.3 The Conditional and the Biconditional Connectives
592(6)
A.4 Laws of Logic
598(4)
A.5 Arguments
602(7)
A.6 Applications of Logic to Switching Networks
609(6)
APPENDIX B The System of Real Numbers
615(4)
APPENDIX C Tables
619(1)
Table I: Compound Amount, Present Value, and Annuity
620(16)
Table II: Binomial Probabilities
636(3)
Table III: The Standard Normal Distribution
639(2)
Answers to Odd-Numbered Exercises641(30)
Index671

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