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Finite Mathematics

ISBN: 9780030213144 | 0030213142
Edition: 4th
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 10/6/1998

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Table of Contents
1 Functions and Lines
1(42)
1.1 Functions
1(7)
1.2 Graphs and Lines
... MORE(17)
1.3 Mathematical Models and Applications of Linear Functions
25(14)
Important Terms
39(1)
Review Exercises
40(3)
2 Linear Systems
43(104)
2.1 Systems of Two Equations
44(15)
2.2 Systems with Three Variables: An Introduction to a Matrix Representation of a Linear System of Equations
59(20)
2.3 Gauss-Jordan Method for General Systems of Equations
79(17)
2.4 Matrix Operations
96(9)
2.5 Multiplication of Matrices
105(14)
2.6 The Inverse of a Matrix
119(15)
2.7 Leontief Input-Output Model in Economics
134(10)
Important Terms
144(1)
Review Exercises
145(2)
3 Linear Programming
147(50)
3.1 Linear Inequalities in Two Variables
148(8)
3.2 Solutions of Systems of Inequalities: A Geometric Picture
156(8)
3.3 Linear Programming: A Geometric Approach
164(23)
3.4 Applications
187(7)
Important Terms
194(1)
Review Exercises
195(2)
4 Linear Programming: The Simplex Method
197(81)
4.1 Setting Up the Simplex Method
198(11)
4.2 The Simplex Method
209(18)
4.3 The Standard Minimum Problem: Duality
227(8)
4.4 Mixed Constraints
235(22)
4.5 Multiple Solutions, Unbounded Solutions, and No Solutions
257(9)
4.6 What's Happening in the Simplex Method? (Optional)
266(8)
Important Terms
274(1)
Review Exercises
274(4)
5 Sets and Counting
278(64)
5.1 Sets
279(8)
5.2 Counting Elements in a Subset
287(8)
5.3 Fundamental Counting Principles
295(11)
5.4 Permutations
306(10)
5.5 Combinations
316(12)
5.6 A Mixture of Counting Problems
328(3)
5.7 Partitions (Optional)
331(7)
Important Terms
338(1)
Review Exercises
338(4)
6 Probability
342(102)
6.1 Introduction to Probability
343(10)
6.2 Equally Likely Events
353(9)
6.3 Compound Events: Union, Intersection, and Complement
362(13)
6.4 Conditional Probability
375(14)
6.5 Independent Events
389(17)
6.6 Bayes' Rule
406(10)
6.7 Bernoulli Experiments
416(9)
6.8 Markov Chains
425(15)
Important Terms
440(1)
Review Exercises
440(4)
7 Statistics
444(111)
7.1 Frequency Distributions
445(13)
7.2 Measures of Central Tendency
458(11)
7.3 Measures of Dispersion: Range, Variance, and Standard Deviation
469(12)
7.4 Random Variables and Probability Distributions of Discrete Random Variables
481(11)
7.5 Expected Value
492(10)
7.6 Normal Distribution
502(21)
7.7 Binomial Distribution
523(14)
7.8 Estimating Bounds on a Proportion
537(14)
Important Terms
551(1)
Review Exercises
552(3)
8 Mathematics of Finance
555(50)
8.1 Simple Interest
556(8)
8.2 Compound Interest
564(11)
8.3 Annuities and Sinking Funds
575(9)
8.4 Present Value of an Annuity and Amortization
584(18)
Important Terms
602(1)
Review Exercises
602(3)
9 Game Theory
605(21)
9.1 Two-Person Games
605(2)
9.2 Strictly Determined Games
607(7)
9.3 Mixed Strategy Games
614(10)
Important Terms
624(1)
Review Exercises
624(2)
10 Logic
626(23)
10.1 Statements
626(7)
10.2 Conditional Statements
633(5)
10.3 Equivalent Statements
638(2)
10.4 Valid Arguments
640(7)
Important Terms
647(1)
Review Exercises
647(2)
A Review Topics
649(19)
A.1 Properties of Real Numbers
649(4)
A.2 Solving Linear Equations
653(5)
A.3 Coordinate Systems
658(3)
A.4 Linear Inequalities and Interval Notation
661(6)
Important Terms
667(1)
B Using a TI Graphing Calculator
668(16)
Notation
668(1)
Arithmetic Operations
668(1)
Graphing
669(2)
Evaluating a Function
671(1)
Zoom
671(2)
Matrices
673(5)
Statistics
678(6)
Answers to Odd-Numbered Exercises684
IndexI-1

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