Finite Mathematics for the Managerial, Life, and Social Sciences,
12th Edition

PREFACE.
1. STRAIGHT LINES AND LINEAR FUNCTIONS.
The Cartesian Coordinate System. Straight Lines. Linear Functions and Mathematical. Intersection of Straight Lines. The Method of Least Squares.
2. SYSTEMS OF LINEAR EQUATIONS AND MATRICE.
Systems of Linear Equations: An Introduction. Systems of Linear Equations: Unique Solutions. Systems of Linear Equations: Underdetermined and Overdetermined Systems. Matrices. Multiplication of Matrices. The Inverse of a Square Matrix. Leontief Input–Output Model.
3. LINEAR PROGRAMMING: A GEOMETRIC APPROACH.
Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Graphical Solution of Linear Programming Problems. Sensitivity Analysis.
4. LINEAR PROGRAMMING: AN ALGEBRAIC APPROACH.
The Simplex Method: Standard Maximization Problems. The Simplex Method: Standard Minimization Problems. The Simplex Method: Nonstandard Problems.
5. MATHEMATICS OF FINANCE.
Compound Interest. Annuities. Amortization and Sinking Funds. Arithmetic and Geometric Progressions.
6. SETS AND COUNTING.
Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Permutations and Combinations.
7. PROBABILITY.
Experiments, Sample Spaces, and Events. Definition of Probability. Rules of Probability. Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes’ Theorem.
8. PROBABILITY DISTRIBUTIONS AND STATISTICS.
Distributions of Random Variables. Expected Value. Variance and Standard Deviation. The Binomial Distribution. The Normal Distribution. Applications of the Normal Distribution.
9. MARKOV CHAINS AND THE THEORY OF GAMES.
Markov Chains. Regular Markov Chains. Absorbing Markov Chains. Game Theory and Strictly Determined Games. Games with Mixed Strategies.
APPENDIX A.
Introduction to Logic.
A.1 Propositions and Connectives.
A.2 Truth Tables.
A.3 The Conditional and Biconditional Connectives.
A.4 Laws of Logic.
A.5 Arguments.
A.6 Applications of Logic to Switching Networks
APPENDIX B.
The System of Real Numbers.
APPENDIX C.
Review of Logarithms.
APPENDIX D.
Tables.
Table 1. Binomial Probabilities.
Table 2. The Standard Normal Distribution.

• Soo T. Tan

  Soo T. Tan has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension. This awareness led to the intuitive approach I have adopted in all of my texts."

• MOTIVATING REAL-WORLD APPLICATIONS: Continuing with the theme of previous editions, more than 100 new and up-dated applications have been added to motivate students and to illustrate the relevance of mathematics in everyday life. Topics include: Facebook’s mobile-only users, ad-blocking, income inequality, global warming, terrorism, student loans, ransomware, the Affordable Care Act, Buzz rankings, smartphone dependency, and job preparedness.

• A NEW SECTION ON CRYPTOGRAPHY has been added to the discussion of inverses of matrices. Examples and exercises in this section show how matrices can be used to decode secret messages.

• Many new rote exercises have been added to provide students with extra practice opportunities.

• WEBASSIGN: FINITE MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Twelfth Edition, is fully supported by WebAssign, the powerful online homework and course management system that engages students in learning the math. WebAssign includes new end-of-chapter exercises and pre-built assignments vetted by trusted subject matter experts along with robust course, section, assignment, and question settings and online testing to help instructors foster a deeper understanding of course concepts.

• CAREFULLY-CRAFTED EXERCISE SETS: SECTION EXERCISE SETS include Self-Check Exercises that let students solve problems and check their work against worked-out solutions, Concept Exercises that let students gauge their understanding, and Exercise Sets with a mix of rote and applied problems. CHAPTER REVIEW EXERCISE SETS include Summary of Principal Formulas and Terms for easy reference, fill-in-the-blank Concept Review questions that reinforce chapter terms and concepts, Review Exercises, and Before Moving On Exercises that ensure students have mastered the skills they need in later chapters.

• OPTIONAL TECHNOLOGY: The optional coverage of technology gives instructors different ways to tailor technology to their course needs. The Using Technology sections have a traditional Example-Exercise format with step-by-step procedures and illustrations for ease of use in the classroom or self-study by students. Exploring with Technology questions in the main body of the text enhance students’ understanding by shedding further light on examples in the text through numerical or graphical solutions. The Modeling with Data exercises, found in many of the "Using Technology" subsections, show students how some of the functions found in the applications are constructed.

• PORTFOLIOS highlight the careers of real people and discuss how they incorporate math into their daily professional activities. Among those interviewed are the City Manager of Fanfoto and the Technical Director, Europe, of SpiderCloud Wireless.

• Other pedagogical tools that help students master the material include "Notes" to clarify more mathematical ideas and "Cautions" highlighting common pitfalls.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

Cengage Testing, powered by Cognero® for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences
9781337613149

Cengage Testing, powered by Cognero® for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, Instant Access
9781337613163

Instructor's Website for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 12th
9781337613682