
Functions and Linear Models 


2  (68) 

Functions from the Numerical and Algebraic Viewpoints 


3  (12) 

Functions from the Graphical Viewpoint 


15  (12) 


27  (11) 


38  (16) 

Linear Regression (optional) 


54  (16) 

You're the Expert Modeling Spending on Internet Advertising 


63  (4) 


67  (3) 

Systems of Linear Equations and Matrices 


70  (54) 

Systems of Two Linear Equations in Two Unknowns 


71  (14) 

Using Matrices to Solve Systems of Equations 


85  (20) 

Applications of Systems of Linear Equations 


105  (19) 

You're the Expert The Impact of Regulating Sulfur Emissions 


117  (4) 


121  (3) 

Matrix Algebra and Applications 


124  (56) 

Matrix Addition and Scalar Multiplication 


125  (11) 


136  (14) 


150  (11) 


161  (19) 

You're the Expert The Japanese Economy 


175  (2) 


177  (3) 


180  (76) 

Graphing Linear Inequalities 


181  (11) 

Solving Linear Programming Problems Graphically 


192  (17) 

The Simplex Method: Solving Standard Maximization Problems 


209  (18) 

The Simplex Method: Solving General Linear Programming Problems 


227  (13) 

The Simplex Method and Duality (optional) 


240  (16) 

You're the Expert Airline Scheduling 


249  (3) 


252  (4) 

The Mathematics of Finance 


256  (46) 


257  (7) 


264  (12) 

Annuities, Loans, and Bonds 


276  (26) 

You're the Expert Saving for College 


295  (4) 


299  (3) 


302  (46) 


303  (10) 


313  (9) 

The Addition and Multiplication Principles 


322  (9) 

Permutations and Combinations 


331  (17) 

You're the Expert Designing a Puzzle 


343  (2) 


345  (3) 


348  (78) 


349  (13) 


362  (9) 


371  (9) 

Probability and Counting Techniques (optional) 


380  (9) 


389  (8) 

Conditional Probability and Independence 


397  (14) 

Bayes' Theorem and Applications 


411  (15) 

You're the Expert The Monty Hall Problem 


420  (2) 


422  (4) 

Random Variables and Statistics 


426  (60) 

Random Variables and Distributions 


427  (10) 

Bemoulli Trials and Binomial Random Variables 


437  (6) 

Measures of Central Tendency 


443  (12) 


455  (13) 


468  (18) 

You're the Expert Spotting Tax Fraud with Benford's Law 


478  (3) 


481  (5) 


486  (1) 


487  (8) 

Distribution Vectors and Powers of the Transition Matrix 


495  (12) 

LongRange Behavior of Regular Markov Systems 


507  (13) 


520  (12) 

You're the Expert Predicting the Price of Gold 


532  (4) 


536  

Game Theory (Optional Internet Topic) 



TwoPerson Zero Sum Games; Reduction by Dominance 



Strictly Determined Games 





Solving Games using the Simplex Method 



You're the Expert Harvesting Forests 



Introduction to Logic (Optional Internet Topic) 



Statements and Logical Operators 



Logical Equivalence, Tautologies, and Contradictions 



The Conditional and the Biconditional 



Tautological Implications and Tautological Equivalences 






Appendix A Real Numbers 

1  (6) 
Appendix B Table: Area Under a Normal Curve 

7  (2) 
Answers to Selected Exercises 

9  
Index 

1  