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Copyright, iv
Preface, xi
Part 1. A Library of Elementary Functions, 1
1. Linear Equations and Graphs, 2
1-1. Linear Equations and Inequalities, 3
1-2. Graphs and Lines, 13
1-3. Linear Regression, 29
Chapter 1 Review, 42
Review Exercise, 43
2. Functions and Graphs, 46
2-1. Functions, 47
2-2. Elementary Functions: Graphs and Transformations, 63
2-3. Quadratic Functions, 76
2-4. Exponential Functions, 93
2-5. Logarithmic Functions, 105
Chapter 2 Review, 119
Review Exercise, 121
Part 2. Finite Mathematics, 126-a
3. Mathematics of Finance, 127
3-1. Simple Interest, 128
3-2. Compound and Continuous Compound Interest, 134
3-3. Future Value of an Annuity; Sinking Funds, 149
3-4. Present Value of an Annuity; Amortization, 158
Chapter 3 Review, 170
Review Exercise, 171
4. Systems of Linear Equations; Matrices, 175
4-1. Review: Systems of Linear Equations in Two Variables, 176
4-2. Systems of Linear Equations and Augmented Matrices, 188
4-3. Gauss–Jordan Elimination, 197
4-4. Matrices: Basic Operations, 211
4-5. Inverse of a Square Matrix, 225
4-6. Matrix Equations and Systems of Linear Equations, 236
4-7. Leontief Input–Output Analysis, 245
Chapter 4 Review, 253
Review Exercise, 254
5. Linear Inequalities and Linear Programming, 258
5-1. Inequalities in Two Variables, 259
5-2. Systems of Linear Inequalities in Two Variables, 267
5-3. Linear Programming in Two Dimensions: A Geometric Approach, 275
Chapter 5 Review, 289
Review Exercise, 289
6. Linear Programming: The Simplex Method, 291
6-1. A Geometric Introduction to the Simplex Method, 292
6-2. The Simplex Method: Maximization with Problem Constraints of the Form ≤, 298
6-3. The Dual Problem: Minimization with Problem Constraints of the Form ≥, 315
6-4. Maximization and Minimization with Mixed Problem Constraints, 330
Chapter 6 Review, 346
Review Exercise, 347
7. Logic, Sets, and Counting, 350
7-1. Logic, 351
7-2. Sets, 360
7-3. Basic Counting Principles, 366
7-4. Permutations and Combinations, 375
Chapter 7 Review, 387
Review Exercise, 388
8. Probability, 391
8-1. Sample Spaces, Events, and Probability, 392
8-2. Union, Intersection, and Complement of Events; Odds, 405
8-3. Conditional Probability, Intersection, and Independence, 418
8-4. Bayes’ Formula, 432
8-5. Random Variable, Probability Distribution, and Expected Value, 440
Chapter 8 Review, 448
Review Exercise, 450
9. Markov Chains, 454
9-1. Properties of Markov Chains, 455
9-2. Regular Markov Chains, 466
9-3. Absorbing Markov Chains, 476
Chapter 9 Review, 491
Review Exercise, 492
10. Games and Decisions, 497
10-1. Strictly Determined Games, 498
10-2. Mixed Strategy Games, 504
10-3. Linear Programming and 2 × 2 Games: Geometric Approach, 515
10-4. Linear Programming and m × n Games: Simplex Method and the Dual Problem, 522
Chapter 10 Review, 527
Review Exercise, 528
11. Data Description and Probability Distributions, 531
11-1. Graphing Data, 532
11-2. Measures of Central Tendency, 544
11-3. Measures of Dispersion, 554
11-4. Bernoulli Trials and Binomial Distributions, 562
11-5. Normal Distributions, 572
Chapter 11 Review, 583
Review Exercise, 584
A. Basic Algebra Review, 587
Self-Test on Basic Algebra, 587
A-1. Algebra and Real Numbers, 588
A-2. Operations on Polynomials, 594
A-3. Factoring Polynomials, 601
A-4. Operations on Rational Expressions, 608
A-5. Integer Exponents and Scientific Notation, 614
A-6. Rational Exponents and Radicals, 620
A-7. Quadratic Equations, 627
B. Special Topics, 637
B-1. Sequences, Series, and Summation Notation, 637
B-2. Arithmetic and Geometric Sequences, 643
B-3. The Binomial Theorem, 650
C. Tables, 655
Table I. Area Under the Standard Normal Curve, 655
Table II. Basic Geometric Formulas, 656
Answers, A-1
Index, I-1

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