In the market leading Finite Mathematics for the Managerial, Life, and Social Sciences, Soo T. Tan provides an accurate, accessible presentation of finite mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Eighth Edition includes highly interesting, current applications and Microsoft Excel exercises to help stimulate student motivation. An exciting new array of supplements, including Enhanced WebAssign and the Interactive Video Skillbuilder CD-ROM, provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.
Soo T. Tan 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. He has published numerous papers in Optimal Control Theory and Numerical Analysis. He is currently a Professor of Mathematics at Stonehill College.
"By the time I started writing the first of what turned out to be a series of textbooks in mathematics for students in the managerial, life, and social sciences, I had quite a few years of experience teaching mathematics to non-mathematics majors. 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. As you will see, I try to introduce each abstract mathematical concept through an example drawn from a common, real-life experience. Once the idea has been conveyed, I then proceed to make it precise, thereby assuring that no mathematical rigor is lost in this intuitive treatment of the subject. Another lesson I learned from my students is that they have a much greater appreciation of the material if the applications are drawn from their fields of interest and from situations that occur in the real world. This is one reason you will see so many exercises in my texts that are modeled on data gathered from newspapers, magazines, journals, and other media. Whether it be the ups and downs of the stock market, the growth of HMOs in the U.S., the solvency of the social security system, the budget deficit, the AIDS epidemic, or the growth ofthe Internet, I weave topics of current interest into my examples and exercises, to keep the book relevant to all of my readers."
1. STRAIGHT LINES AND LINEAR FUNCTIONS. The Cartesian Coordinate System. Straight Lines. Using Technology: Graphing a Straight Line. Linear Functions and Mathematical Models. Portfolio. Using Technology: Evaluating a Function. Intersection of Straight Lines. Using Technology: Finding the Points of Intersection of Two Graphs. The Method of Least Squares (Optional). Using Technology: Finding an Equation of a Least-Squares Line. Summary of Principal Formulas and Terms. Review Exercises. 2. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Systems of Linear Equations: An Introduction. Systems of Linear Equations: Unique Solutions. Using Technology: Solving Systems of Linear Equations I. Systems of Linear Equations: Underdetermined and Overdetermined Systems. Using Technology: Solving Systems of Linear Equations II. Matrices. Using Technology: Matrix Operations. Multiplication of Matrices. Using Technology: Matrix Multiplication. The Inverse of a Square Matrix. Using Technology: Finding the Inverse of a Square Matrix. Leontief Input-Output Model (Optional). Using Technology: The Leontief Input-Output Model. Summary of Principal Formulas and Terms. Review Exercises. 3. LINEAR PROGRAMMING: A GEOMETRIC APPROACH. Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Portfolio. Graphical Solution of Linear Programming Problems. Sensitivity Analysis (Optional). Summary of Principal Terms. Review Exercises. 4. LINEAR PROGRAMMING: AN ALGEBRAIC APPROACH. The Simplex Method: Standard Maximization Problems. Portfolio. Using Technology: The Simplex Method: Solving Maximization Problems. The SimplexMethod: Standard Minimization Problems. Using Technology: The Simplex Method: Solving. Minimization Problems. The Simplex Method: Nonstandard Problems (Optional). Summary of Principal Terms. Review Exercises. 5. MATHEMATICS OF FINANCE. Compound Interest. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Return, and the Present Value of an Investment. Annuities. Using Technology: Finding the Amount of an Annuity. Amortization and Sinking Funds. Portfolio. Using Technology: Amortizing a Loan. Arithmetic and Geometric Progressions (Optional). Summary of Principal Formulas and Terms. Review Exercises. 6. SETS AND COUNTING. Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Portfolio. Permutations and Combinations. Using Technology: Evaluating n!, P(n, r), and C(n, r). Summary of Principal Formulas and Terms. Review Exercises. 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. Summary of Principal Formulas and Terms. Review Exercises. 8. PROBABILITY DISTRIBUTIONS AND STATISTICS. Distributions of Random Variables. Using Technology: Graphing a Histogram. Expected Value. Portfolio. Variance and Standard Deviation. Using Technology: Finding the Mean and Standard Deviation. The Binomial Distribution. The Normal Distribution. Applications of the Normal Distribution. Summary of Principal Formulas and Terms. Review Exercises. 9. MARKOV CHAINS AND THE THEORY OF GAMES. Markov Chains. Using Technology: Finding Distribution Vectors. Regular Markov Chains. Using Technology: Finding the Long-Term Distribution Vector. Absorbing Markov Chains. Game Theory and Strictly Determined Games. Games with Mixed Strategies. Summary of Principal Formulas and Terms. Review Exercises. Appendix A: Introduction to Logic. Propositions and Connectives. Truth Tables. The Conditional and Biconditional Connectives. Laws of Logic. Arguments. Applications of Logic to Switching Networks. Appendix B: The System of Real Numbers. Appendix C: Tables. Binomial Probabilities. The Standard Normal Distribution. Answers to Odd-Numbered Exercises. Index.