
Straight Lines and Linear Functions 



The Cartesian Coordinate System 


1  (3) 


4  (8) 

Linear Functions and Mathematical Models 


12  (6) 

Intersection of Straight Lines 


18  (6) 

The Method of Least Squares 


24  (10) 


30  (4) 

Systems of Linear Equations and Matrices 



Systems of Linear EquationsIntroduction 


34  (3) 

Solving Systems of Linear Equations I 


37  (9) 

Solving Systems of Linear Equations II 


46  (6) 


52  (4) 

Multiplication of Matrices 


56  (7) 

The Inverse of a Square Matrix 


63  (12) 

Leontief InputOutput Model 


75  (10) 


78  (7) 

Linear Programming: A Geometric Approach 



Graphing Systems of Linear Inequalities in Two Variables 


85  (4) 

Linear Programming Problems 


89  (5) 

Graphical Solution of Linear Programming Problems 


94  (14) 


104  (4) 

Linear Programming: An Algebraic Approach 



The Simplex Method: Standard Maximization Problems 


108  (17) 

The Simplex Method: Standard Minimization Problems 


125  (15) 

The Simplex Method: Nonstandard Problems 


140  (19) 


151  (8) 




159  (4) 


163  (3) 

Amortization and Sinking Funds 


166  (7) 

Arithmetic and Geometric Progressions 


173  (7) 


176  (4) 




180  (4) 

The Number of Elements in a Finite Set 


184  (5) 

The Multiplication Principle 


189  (1) 

Permutations and Combinations 


190  (9) 


195  (4) 



Experiments, Sample Spaces, and Events 


199  (1) 

Definition of Probability 


200  (3) 


203  (4) 

Use of Counting Techniques in Probability 


207  (4) 

Conditional Probability and Independent Events 


211  (5) 


216  (10) 


222  (4) 

Probability Distributions and Statistics 



Distributions of Random Variables 


226  (3) 


229  (2) 

Variance and Standard Deviation 


231  (4) 

The Binomial Distribution 


235  (4) 


239  (2) 

Applications of the Normal Distribution 


241  (7) 


244  (4) 

Markov Chains and the Theory of Games 




248  (3) 


251  (6) 


257  (6) 

Game Theory and Strictly Determined Games 


263  (5) 

Games with Mixed Strategies 


268  (6) 


274  