
Straight Lines and Linear Functions 


2  (70) 

The Cartesian Coordinate System 


3  (8) 


11  (19) 

Using Technology: Graphing a Straight Line 


24  (6) 

Linear Functions and Mathematical Models 


30  (15) 


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 LeastSquares 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) 


110  (13) 

Using Technology: Matrix Operations 


118  (5) 


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 InputOutput Model 


156  (14) 

Using Technology: The Leontief InputOutput 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) 


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) 


280  (54) 


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) 


297  (12) 

Using Technology: Finding the Amount of an Annuity 


306  (3) 

Amortization and Sinking Funds 


309  (13) 


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) 


334  (45) 


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) 


379  (61) 

Experiments, Sample Spaces, and Events 


380  (9) 

Definition of Probability 


389  (9) 


398  (8) 

Use of Counting Techniques in Probability 


406  (8) 

Conditional Probability and Independent Events 


414  (14) 


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) 


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) 


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) 


507  (12) 

Using Technology: Finding Distribution Vectors 


516  (3) 


519  (12) 

Using Technology: Finding the LongTerm Distribution Vector 


528  (3) 


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) 


571  (2) 

A.3 The Conditional and the Biconditional Connectives 


573  (6) 


579  (4) 


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 OddNumbered Exercises 

603  (32) 
Index 

635  