Full of relevant and current real-world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS, Fifth Edition helps your students relate to mathematics! Throughout the text is clearly delineated, thorough Microsoft Excel and Graphing Calculator instruction, optional so instructors can include any amount of technology instruction in their courses. Acclaimed for accuracy and readability, FINITE MATHEMATICS, Fifth Edition connects with all types of teaching and learning styles. Resources like the accompanying website allow the text to support a range of course formats, from traditional lectures to strictly online courses.
Author(s): Stefan Waner, Steven Costenoble
Edition: 5th ed
Publisher: Brooks Cole
Year: 2010
Language: English
Pages: 699
Tags: Математика;Высшая математика (основы);
Front Cover......Page 1
Title Page......Page 5
Copyright......Page 6
Brief Contents
......Page 7
CONTENTS......Page 9
CHAPTER 0: Precalculus Review......Page 21
0.1 Real Numbers......Page 22
0.2 Exponents and Radicals......Page 27
0.3 Multiplying and Factoring Algebraic Expressions......Page 37
0.4 Rational Expressions......Page 42
0.5 Solving Polynomial Equations......Page 44
0.6 Solving Miscellaneous Equations......Page 50
0.7 The Coordinate Plane......Page 54
CHAPTER 1: Functions and Linear Models......Page 59
1.1 Functions from the Numerical, Algebraic, and Graphical Viewpoints......Page 60
1.2 Functions and Models......Page 76
1.3 Linear Functions and Models......Page 95
1.4 Linear Regression......Page 114
REVIEW EXERCISES......Page 124
CASE STUDY Modeling Spending on Internet Advertising......Page 126
TECHNOLOGY GUIDES......Page 130
CHAPTER 2: Systems of Linear Equations and Matrices......Page 143
2.1 Systems of Two Equations in Two Unknowns......Page 144
2.2 Using Matrices to Solve Systems of Equations......Page 157
2.3 Applications of Systems of Linear Equations......Page 175
REVIEW EXERCISES......Page 188
CASE STUDY Hybrid Cars—Optimizing the Degree of Hybridization......Page 191
TECHNOLOGY GUIDES......Page 195
CHAPTER 3: Matrix Algebra and Applications......Page 201
3.1 Matrix Addition and Scalar Multiplication......Page 202
3.2 Matrix Multiplication......Page 212
3.3 Matrix Inversion......Page 226
3.4 Game Theory......Page 237
3.5 Input-Output Models......Page 253
REVIEW EXERCISES......Page 266
CASE STUDY Projecting Market Share......Page 269
TECHNOLOGY GUIDES......Page 274
CHAPTER 4: Linear Programming......Page 283
4.1 Graphing Linear Inequalities......Page 284
4.2 Solving Linear Programming Problems Graphically......Page 294
4.3 The Simplex Method: Solving Standard Maximization Problems......Page 310
4.4 The Simplex Method: Solving General Linear Programming Problems......Page 327
4.5 The Simplex Method and Duality......Page 340
REVIEW EXERCISES......Page 355
CASE STUDY The Diet Problem......Page 359
TECHNOLOGY GUIDES......Page 363
CHAPTER 5: The Mathematics of Finance......Page 367
5.1 Simple Interest......Page 368
5.2 Compound Interest......Page 376
5.3 Annuities, Loans, and Bonds......Page 387
REVIEW EXERCISES......Page 400
CASE STUDY Adjustable Rate and Subprime Mortgages......Page 402
TECHNOLOGY GUIDES......Page 408
CHAPTER 6: Sets and Counting......Page 415
6.1 Sets and Set Operations......Page 416
6.2 Cardinality......Page 427
6.3 The Addition and Multiplication Principles......Page 438
6.4 Permutations and Combinations......Page 448
REVIEW EXERCISES......Page 461
CASE STUDY Designing a Puzzle......Page 463
CHAPTER 7: Probability......Page 465
7.1 Sample Spaces and Events......Page 466
7.2 Relative Frequency......Page 480
7.3 Probability and Probability Models......Page 488
7.4 Probability and Counting Techniques......Page 507
7.5 Conditional Probability and Independence......Page 515
7.6 Bayes’ Theorem and Applications......Page 532
7.7 Markov Systems......Page 541
REVIEW EXERCISES......Page 556
CASE STUDY The Monty Hall Problem......Page 559
TECHNOLOGY GUIDES......Page 561
CHAPTER 8: Random Variables and Statistics......Page 567
8.1 Random Variables and Distributions......Page 568
8.2 Bernoulli Trials and Binomial Random Variables......Page 579
8.3 Measures of Central Tendency......Page 587
8.4 Measures of Dispersion......Page 600
8.5 Normal Distributions......Page 614
REVIEW EXERCISES......Page 626
CASE STUDY Spotting Tax Fraud with Benford’s Law......Page 628
TECHNOLOGY GUIDES......Page 632
APPENDIX......Page 639
ANSWERS TO SELECTED EXERCISES......Page 657
INDEX......Page 683
