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Tables of Contents for Finite Mathematics for the Managerial, Life, and Social Sciences With Infotrac
Chapter/Section Title
Page #
Page Count
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 Logic
565
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 Numbers
593
3
APPENDIX C Tables
596
7
Table 1: Binomial Probabilities
597
4
Table 2: The Standard Normal Distribution
601
2
Answers to Odd-Numbered Exercises
603
32
Index
635