Finite Mathematics: An Applied Approach, 11TH ED. Binder Ready Version

by Sullivan

• ISBN13: 9780470876398
• ISBN10: 0470876395
• Edition: 11th
• Format: Loose-leaf
• Copyright: 2010-12-01
• Publisher: Wiley

Summary

Finite Mathematics: An Applied Approach, 11th Edition once again lives up to its reputation as a clearly written, comprehensive finite mathematics book. This Edition builds upon a solid foundation by integrating new features and techniques that further enhance student interest and involvement.  All existing problems have been updated to provide relevance and timeliness. Finite Mathematics contains the same elements such as Step-by-Step Examples, Exercise Sets, and Learning Objectives in every chapter. In an engaging and accessible style, this text demonstrates how mathematics applies to various fields of study. The text is packed with real data and real-life applications to business, economics, social and life sciences.

Author Biography

Michael Sullivan is Professor Emeritus in the Department of Mathematics and Computer Science at Chicago State University where he taught for 35 years before retiring a few years ago. Dr. Sullivan is a member of American Mathematical Society, the Mathematical Association of America, and the American Mathematical Association of Two Year Colleges. He is President of Text and Academic Authors Association and represents that organization on the Authors Coalition of America, Mike has been writing textbooks in mathematics for over 30 years. He currently has 13 books in print: 3 texts with John Wiley & Sons and 10 with Prentice-Hall. Six of these titles are co-authored with his son, Michael Sullivan III. He has four children: Kathleen, who teaches college mathematics; Michael, who teaches college mathematics, Dan who is a Prentice-Hall sales representative, and Colleen, who teaches middle school mathematics. Nine grandchildren round out the family.

Table of Contents

Chapter 1 Linear Equations 1

1.1 Lines 2

1.2 Pairs of Lines 22

1.3 Applications in Business and Economics 30

1.4 Scatter Diagrams; Linear Curve Fitting 35

Chapter Review 42

Chapter Project 45

Chapter 2 Systems of Linear Equations 49

2.1 Systems of Linear Equations: Substitution; Elimination 50

2.2 Systems of Linear Equations: Gaussian Elimination 69

2.3 Systems of m Linear Equations Containing n Variables 88

Chapter Review 98

Chapter Project 101

Chapter 3 Matrices 103

3.1 Matrix Algebra 104

3.2 Multiplication of Matrices 121

3.3 The Inverse of a Matrix 135

3.4 Applications in Economics (the Leontief Model), Accounting, and Statistics (the Method of Least Squares) 152

Chapter Review 170

Chapter Project 172

Chapter 4 Linear Programming with Two Variables 175

4.1 Systems of Linear Inequalities 176

4.2 A Geometric Approach to Linear Programming Problems with Two Variables 191

4.3 Models Utilizing Linear Programming with Two Variables 199

Chapter Review 209

Chapter Project 213

Chapter 5 Linear Programming: Simplex Method 217

5.1 The Simplex Tableau; Pivoting 218

5.2 The Simplex Method: Solving Maximum Problems in Standard Form 236

5.3 Solving Minimum Problems Using the Duality Principle 257

5.4 The Simplex Method for Problems Not in Standard Form 269

Chapter Review 284

Chapter Project 289

Chapter 6 Finance 293

6.1 Interest 294

6.2 Compound Interest 301

6.3 Annuities; Sinking Funds 316

6.4 Present Value of an Annuity; Amortization 329

6.5 Annuities and Amortization Using Recursive Sequences 345

Chapter Review 349

Chapter Project 352

Chapter 7 Probability 355

7.1 Sets 356

7.2 The Number of Elements in a Set 365

7.3 The Multiplication Principle 373

7.4 Sample Spaces and the Assignment of Probabilities 378

7.5 Properties of the Probability of an Event 391

7.6 Expected Value 403

Chapter Review 412

Chapter Project 417

Chapter 8 Additional Probability Topics 421

8.1 Conditional Probability 422

8.2 Independent Events 433

8.3 Bayes’ Theorem 445

8.4 Permutations 457

8.5 Combinations 465

8.6 The Binomial Probability Model 480

Chapter Review 496

Chapter Project 501

Chapter 9 Statistics 505

9.1 Introduction to Statistics: Data and Sampling 506

9.2 Representing Qualitative Data Graphically: Bar Graphs; Pie Charts 509

9.3 Organizing and Displaying Quantitative Data 517

9.4 Measures of Central Tendency 532

9.5 Measures of Dispersion 541

9.6 The Normal Distribution 553

Chapter Review 565

Chapter Project 572

Chapter 10 Markov Chains; Games 575

10.1 Markov Chains and Transition Matrices 576

10.2 Regular Markov Chains 587

10.3 Absorbing Markov Chains 600

10.4 Two-Person Games 611

10.5 Mixed Strategies 615

10.6 Optimal Strategy in Two-Person Zero-Sum Games with 2 x 2 Matrices 620

Chapter Review 627

Chapter Project 631

Chapter 11 Logic 633

11.1 Propositions 634

11.2 Truth Tables 639

11.3 Implications; The Biconditional Connective; Tautologies 648

11.4 Arguments 655

11.5 Logic Circuits 661

Chapter Review 665

Chapter Project 668

Appendix A Review A-1

A.1 Real Numbers A-1

A.2 Algebra Essentials A-16

A.3 Exponents and Logarithms A-28

A.4 Recursively Defined Sequences: Geometric Sequences A-34

A.5 The Binomial Theorem A-42

Appendix B Using Lindo to Solve Linear Programming Problems B-1

Appendix C Graphing Utilities C-1

C.1 The Viewing Rectangle C–1

C.2 Using a Graphing Utility to Graph Equations C–3

C.3 Square Screens C–6

C.4 Using a Graphing Utility to Graph Inequalities C–7

Answers to Odd-Numbered Problems AN-1

Photo Credits PC-1

Subject Index I-1