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Tables of Contents for Finite Mathematics Forthe Managerial, Life, and Social Sciences
Chapter/Section Title
Page #
Page Count
Straight Lines and Linear Functions
The Cartesian Coordinate System
1
3
Straight Lines
4
12
Linear Functions and Mathematical Models
16
6
Intersection of Straight Lines
22
7
The Method of Least Squares
29
11
Review Exercises
36
4
Systems of Linear Equations and Matrices
Systems of Linear Equations--Introduction
40
4
Systems of Equations - Unique Solutions
44
10
Systems of Equations - Undetermined and Overdetermined Systems
54
6
Matrices
60
4
Multiplication of Matrices
64
6
The Inverse of a Square Matrix
70
11
Leontief Input-Output Model
81
10
Review Exercises
85
6
Linear Programming: A Geometric Approach
Graphing Systems of Linear Inequalities in Two Variables
91
5
Linear Programming Problems
96
6
Graphical Solution of Linear Programming Problems
102
13
Sensitivity Analysis
115
13
Review Exercises
124
4
Linear Programming: An Algebraic Approach
The Simplex Method: Standard Maximization Problems
128
22
The Simplex Method: Standard Minimization Problems
150
16
The Simplex Method: Nonstandard Problems
166
18
Review Exercises
176
8
Mathematics of Finance
Compound Interest
184
4
Annuities
188
4
Amortization and Sinking Funds
192
8
Arithmetic and Geometric Progressions
200
7
Review Exercises
203
4
Sets and Counting
Sets and Set Operations
207
4
The Number of Elements in a Finite Set
211
5
The Multiplication Principle
216
1
Permutations and Combinations
217
9
Review Exercises
222
4
Probability
Experiments, Sample Spaces, and Events
226
1
Definition of Probability
227
3
Rules of Probability
230
4
Use of Counting Techniques in Probability
234
3
Conditional Probability and Independent Events
237
7
Bayes' Theorem
244
10
Review Exercises
251
3
Probability Distributions and Statistics
Distributions of Random Variables
254
2
Expected Value
256
3
Variance and Standard Deviation
259
4
The Binomial Distribution
263
3
The Normal Distribution
266
1
Applications of the Normal Distribution
267
7
Review Exercises
271
3
Markov Chains and the Theory of Games
Markov Chains
274
3
Regular Markov Chains
277
6
Absorbing Markov Chains
283
6
Game Theory and Strictly Determined Games
289
5
Games with Mixed Strategies
294
 
Review Exercises
300