Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th Edition
Contents:
Preface vi
Diagnostic Prerequisite Test xvii
Chapter 1 Linear Equations and Graphs 1
1.1 Linear Equations and Inequalities . . . . . . . . . . . . . . . . 2
1.2 Graphs and Lines . . . . . . . . . . . . . . . . . . . . . . . .12
1.3 Linear Regression . . . . . . . . . . . . . . . . . . . . . . . .26
Chapter 1 Summary and Review . . . . . . . . . . . . . . . . . . .37
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . .38
Chapter 2 Functions and Graphs 41
2.1 Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . .42
2.2 Elementary Functions: Graphs and Transformations . . . . . . . .56
2.3 Quadratic Functions . . . . . . . . . . . . . . . . . . . . . .68
2.4 Polynomial and Rational Functions . . . . . . . . . . . . . . . .84
2.5 Exponential Functions . . . . . . . . . . . . . . . . . . . . . .96
2.6 Logarithmic Functions . . . . . . . . . . . . . . . . . . . . . 106
Chapter 2 Summary and Review . . . . . . . . . . . . . . . . . . 118
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 120
Chapter 3 Mathematics of Finance 126
3.1 Simple Interest . . . . . . . . . . . . . . . . . . . . . . . . 127
3.2 Compound and Continuous Compound Interest . . . . . . . . . 134
3.3 Future Value of an Annuity; Sinking Funds. . . . . . . . . . . . 148
3.4 Present Value of an Annuity; Amortization . . . . . . . . . . . 156
Chapter 3 Summary and Review . . . . . . . . . . . . . . . . . . 168
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 170
Chapter 4 Systems of Linear Equations; Matrices 174
4.1 Review: Systems of Linear Equations in Two Variables . . . . . . 175
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 . . . . . . . . . . . . . . . . . . 224
4.6 Matrix Equations and Systems of Linear Equations. . . . . . . . 236
4.7 Leontief Input–Output Analysis . . . . . . . . . . . . . . . . . 244
Chapter 4 Summary and Review . . . . . . . . . . . . . . . . . . 252
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 253
Chapter 5 Linear Inequalities and Linear Programming 257
5.1 Linear Inequalities in Two Variables . . . . . . . . . . . . . . 258
5.2 Systems of Linear Inequalities in Two Variables . . . . . . . . . 266
5.3 Linear Programming in Two Dimensions: A Geometric Approach . 272
Chapter 5 Summary and Review . . . . . . . . . . . . . . . . . . 285
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 285
Chapter 6 Linear Programming: The Simplex Method 287
6.1 The Table Method: An Introduction to the Simplex Method . . . . 288
6.2 The Simplex Method: Maximization with Problem
Constraints of the Form … . . . . . . . . . . . . . . . . . . 299
6.3 The Dual Problem: Minimization with Problem
Constraints of the Form Ú . . . . . . . . . . . . . . . . . . . 316
6.4 Maximization and Minimization with Mixed Problem
Constraints . . . . . . . . . . . . . . . . . . . . . . . . . . 330
Chapter 6 Summary and Review . . . . . . . . . . . . . . . . . . 347
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 348
Chapter 7 Logic, Sets, and Counting 351
7.1 Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . 352
7.2 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361
7.3 Basic Counting Principles . . . . . . . . . . . . . . . . . . . 368
7.4 Permutations and Combinations . . . . . . . . . . . . . . . . 377
Chapter 7 Summary and Review . . . . . . . . . . . . . . . . . . 389
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 391
Chapter 8 Probability 394
8.1 Sample Spaces, Events, and Probability . . . . . . . . . . . . 395
8.2 Union, Intersection, and Complement of Events; Odds . . . . . . 408
8.3 Conditional Probability, Intersection, and Independence . . . . . 421
8.4 Bayes’ Formula . . . . . . . . . . . . . . . . . . . . . . . . 435
8.5 Random Variable, Probability Distribution, and Expected Value . . 443
Chapter 8 Summary and Review . . . . . . . . . . . . . . . . . . 452
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 454
Chapter 9 Markov Chains 458
9.1 Properties of Markov Chains. . . . . . . . . . . . . . . . . . 459
9.2 Regular Markov Chains . . . . . . . . . . . . . . . . . . . . 470
9.3 Absorbing Markov Chains. . . . . . . . . . . . . . . . . . . 481
Chapter 9 Summary and Review . . . . . . . . . . . . . . . . . . 495
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 496
Chapter 10 Data Description and Probability Distributions 500
10.1 Graphing Data . . . . . . . . . . . . . . . . . . . . . . . 501
10.2 Measures of Central Tendency . . . . . . . . . . . . . . . . 512
10.3 Measures of Dispersion . . . . . . . . . . . . . . . . . . . 522
10.4 Bernoulli Trials and Binomial Distributions . . . . . . . . . . . 528
10.5 Normal Distributions. . . . . . . . . . . . . . . . . . . . . 538
Chapter 10 Summary and Review . . . . . . . . . . . . . . . . . 548
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 549
Chapter 11 Games and Decisions (online at goo.gl/6VBjkQ) G1
11.1 Strictly Determined Games . . . . . . . . . . . . . . . . . . G2
11.2 Mixed-Strategy Games. . . . . . . . . . . . . . . . . . . . G8
11.3 Linear Programming and 2 * 2 Games: A Geometric
Approach. . . . . . . . . . . . . . . . . . . . . . . . . .G19
11.4 Linear Programming and m * n Games: Simplex Method
and the Dual Problem . . . . . . . . . . . . . . . . . . . .G25
Chapter 11 Summary and Review . . . . . . . . . . . . . . . . .G31
Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . .G32
Appendix A Basic Algebra Review 552
A.1 Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . 552
A.2 Operations on Polynomials . . . . . . . . . . . . . . . . . . 558
A.3 Factoring Polynomials . . . . . . . . . . . . . . . . . . . . . 564
A.4 Operations on Rational Expressions . . . . . . . . . . . . . . 570
A.5 Integer Exponents and Scientific Notation . . . . . . . . . . . 576
A.6 Rational Exponents and Radicals. . . . . . . . . . . . . . . . 580
A.7 Quadratic Equations . . . . . . . . . . . . . . . . . . . . . 586
Appendix B Special Topics (online at goo.gl/mjbXrG) A1
B.1 Sequences, Series, and Summation Notation . . . . . . . . . . A1
B.2 Arithmetic and Geometric Sequences. . . . . . . . . . . . . . A7
B.3 Binomial Theorem. . . . . . . . . . . . . . . . . . . . . . . A13
Appendix C Area under the Standard Normal Curve 595
Answers A-1
Index I-1
Index of Applications I-11