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Tables of Contents for Finite Mathematics
Chapter/Section Title
Page #
Page Count
1 Functions and Lines
1
42
1.1 Functions
1
7
1.2 Graphs and Lines
8
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 Exercises
684
Index
I-1