
CHAPTER 1 Straight Lines and Linear Functions 


2  (68) 

1.1 The Cartesian Coordinate System 


4  (8) 


12  (18) 

Using Technology: Graphing a Function 


28  (2) 

1.3 Linear Functions and Mathematical Models 


30  (14) 


34  (8) 

Using Technology: Evaluating a Function 


42  (2) 

1.4 Intersection of Straight Lines 


44  (13) 

Using Technology: Finding the Points of Intersection of Two Graphs 


54  (3) 

1.5 The Method of Least Squares (Optional) 


57  (13) 

Using Technology: Finding an Equation of a LeastSquares Line 


64  (3) 

Chapter 1 Summary of Principal Formulas and Terms 


67  (1) 

Chapter 1 Review Exercises 


68  (2) 

CHAPTER 2 Systems of Linear Equations and Matrices 


70  (102) 

2.1 Systems of Linear EquationsIntroduction 


72  (9) 

2.2 Solving Systems of Linear Equations I 


81  (19) 

Using Technology: Solving Systems of Linear Equations I 


96  (4) 

2.3 Solving Systems of Linear Equations II 


100  (13) 

Using Technology: Solving Systems of Linear Equations II 


110  (3) 


113  (12) 

Using Technology: Matrix Addition and Subtraction, Scalar Multiplication, and the Transpose of a Matrix 


122  (3) 

2.5 Multiplication of Matrices 


125  (15) 

Using Technology: Matrix Multiplication 


136  (4) 

2.6 The Inverse of a Square Matrix 


140  (17) 

Using Technology: Finding the Inverse of a Square Matrix 


152  (5) 

*2.7 Leontief InputOutput Model (Optional) 


157  (15) 

Using Technology: The Leontief InputOutput Model 


164  (4) 

Chapter 2 Summary of Principal Formulas and Terms 


168  (1) 

Chapter 2 Review Exercises 


169  (3) 

CHAPTER 3 Linear Programming: A Geometric Approach 


172  (38) 

3.1 Graphing Systems of Linear Inequalities in Two Variables 


174  (9) 

3.2 Linear Programming Problems 


183  (9) 


189  (3) 

3.3 Graphical Solution of Linear Programming Problems 


192  (18) 

Chapter 3 Summary of Principal Terms 


207  (1) 

Chapter 3 Review Exercises 


208  (2) 

CHAPTER 4 Linear Programming: An Algebraic Approach 


210  (62) 

4.1 The Simplex Method: Standard Maximization Problems 


212  (24) 

PORTFOLIO: Harley Lance Kaplan 


231  (1) 

Using Technology: The Simplex Method: Solving Maximization Problems 


232  (4) 

4.2 The Simplex Method: Standard Minimization Problems 


236  (18) 

Using Technology: The Simplex Method: Solving Minimization Problems 


250  (4) 

*4.3 The Simplex Method: Nonstandard Problems (Optional) 


254  (18) 

Chapter 4 Summary of Principal Terms 


270  (1) 

Chapter 4 Review Exercises 


270  (2) 

CHAPTER 5 Mathematics of Finance 


272  (50) 


274  (14) 

Using Technology: Finding the Accumulated Amount of an Investment and Finding the Effective Rate of Interest 


286  (2) 


288  (11) 

Using Technology: Finding the Amount of an Annuity 


296  (3) 

5.3 Amortization and Sinking Funds 


299  (11) 


302  (6) 

Using Technology: Amortizing a Loan 


308  (2) 

*5.4 Arithmetic and Geometric Progressions (Optional) 


310  (12) 

Chapter 5 Summary of Principal Formulas and Terms 


319  (1) 

Chapter 5 Review Exercises 


320  (2) 

CHAPTER 6 Sets and Counting 


322  (48) 

6.1 Sets and Set Operations 


324  (11) 

6.2 The Number of Elements in a Finite Set 


335  (7) 

6.3 The Multiplication Principle 


342  (7) 

PORTFOLIO: John L. Higgins 


346  (3) 

6.4 Permutations and Combinations 


349  (21) 

Using Technology: Evaluating n!, P(n, r), and C(n, r) 


364  (2) 

Chapter 6 Summary of Principal Formulas and Terms 


366  (1) 

Chapter 6 Review Exercises 


367  (3) 


370  (70) 

7.1 Experiments, Sample Spaces, and Events 


372  (10) 

7.2 Definition of Probability 


382  (10) 


392  (9) 

7.4 Use of Counting Techniques in Probability 


401  (9) 

7.5 Conditional Probability and Independent Events 


410  (16) 


426  (14) 

Chapter 7 Summary of Principal Formulas and Terms 


437  (1) 

Chapter 7 Review Exercises 


437  (3) 

CHAPTER 8 Probability Distributions and Statistics 


440  (76) 

8.1 Distributions of Random Variables 


442  (12) 

Using Technology: Graphing a Histogram 


450  (4) 


454  (14) 

PORTFOLIO: Lilli Meiselman 


466  (2) 

8.3 Variance and Standard Deviation 


468  (12) 

Using Technology: Finding the Mean and Standard Deviation 


478  (2) 

8.4 The Binomial Distribution 


480  (12) 

8.5 The Normal Distribution 


492  (11) 

8.6 Applications of the Normal Distribution 


503  (13) 

Chapter 8 Summary of Principal Formulas and Terms 


513  (1) 

Chapter 8 Review Exercises 


514  (2) 

CHAPTER 9 Markov Chains and the Theory of Games 


516  (67) 


518  (13) 

Using Technology: Finding Distribution Vectors 


528  (3) 

9.2 Regular Markov Chains 


531  (13) 

Using Technology: Finding the LongTerm Distribution Vector 


542  (2) 

9.3 Absorbing Markov Chains 


544  (9) 

9.4 Game Theory and Strictly Determined Games 


553  (12) 

9.5 Games with Mixed Strategies 


565  (18) 

Chapter 9 Summary of Principal Formulas and Terms 


578  (2) 

Chapter 9 Review Exercises 


580  (3) 

APPENDIX A Introduction to Logic 


583  (32) 

A.1 Propositions and Connectives 


584  (6) 


590  (2) 

A.3 The Conditional and the Biconditional Connectives 


592  (6) 


598  (4) 


602  (7) 

A.6 Applications of Logic to Switching Networks 


609  (6) 

APPENDIX B The System of Real Numbers 


615  (4) 


619  (1) 

Table I: Compound Amount, Present Value, and Annuity 


620  (16) 

Table II: Binomial Probabilities 


636  (3) 

Table III: The Standard Normal Distribution 


639  (2) 
Answers to OddNumbered Exercises 

641  (30) 
Index 

671  