Synopses & Reviews
Market-leading APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, 5th EDITION, is a traditional text with a slightly modern feel. This new edition incorporates technology in such a way that both traditional and modern practitioners find the support they need to teach effectively. Continuing its tradition of mathematical accuracy, the new fifth edition teaches by application and uses real and realistic examples to motivate students. It combines solid theory with innovative learning tools, includes a robust supplement package, and offers unmatched flexibility that makes the course easy to teach. Accessible for majors and non-majors alike, the book uses an intuitive approach that introduces abstract concepts through examples drawn from common, real-life experiences to which students can relate. It also draws applications from readers' fields of interest. In addition, insightful Portfolios highlight the careers of real people and discuss how they incorporate math into their professional lives. Numerous exercises ensure students have a solid understanding of text concepts before advancing to the next topic. Bringing powerful resources to students' fingertips, the text's exciting array of supplements?including Enhanced WebAssign, Solution Videos, and Personal Tutor?equips students with extensive learning support to help them maximize their study time.
Synopsis
In the market-leading APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accurate, accessible presentation of finite mathematics and applied calculus combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Fourth Edition includes highly interesting current applications and Microsoft Excel exercises to help stimulate student motivation. An exciting new array of supplements, including iLrn™ Mathematics 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.
About the Author
Soo T. Tan, Professor of Mathematics at Stonehill College, 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. "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 why 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 of the Internet, I weave topics of current interest into my examples and exercises, to keep the book relevant to all of my readers."
Table of Contents
1. FUNDAMENTALS OF ALGEBRA. Real Numbers. Polynomials. Factoring Polynomials. Rational Expressions. Integral Exponents. Solving Equations. Rational Exponents and Radicals. Quadratic Equations. Inequalities and Absolute Value. 2. FUNCTIONS AND THEIR GRAPHS. The Cartesian Coordinate System and Straight Lines. Equations of Lines. Functions and Their Graphs. The Algebra of Functions. Linear Functions. Quadratic Functions. Functions and Mathematical Models. 3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Exponential Functions as Mathematical Models. 4. MATHEMATICS OF FINANCE. Compound Interest. Annuities. Amortization and Sinking Funds. Arithmetic and Geometric Progressions (Optional). 5. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Systems of Linear Equations: An Introduction. Systems of Linear Equations: Unique Solutions. Systems of Linear Equations: Undetermined and Overdetermined Systems. Matrices. Multiplication of Matrices. The Inverse of a Square Matrix. 6. LINEAR PROGRAMMING. Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Graphical Solution of Linear Programming Problems. The Simplex Method: Standard Maximization Problems. The Simplex Method: Standard Minimization Problems. 7. SETS AND PROBABILITY. Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Permutations and Combinations. Experiments, Sample Spaces, and Events. Probability. Rules of Probability. 8. ADDITIONAL TOPICS IN PROBABILITY. Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes' Theorem. Distributions of Random Variables. Expected Value. Variance and Standard Deviation. 9. THE DERIVATIVE. Limits. Continuity. The Derivative. Basic Rules of Differentiation. The Product and Quotient Rules: Higher-Order Derivatives. The Chain Rule. Differentiation of Exponential and Logarithmic Functions. Marginal Functions in Economics. 10. APPLICATIONS OF THE DERIVATIVE. Applications of the First Derivative. Applications of the Second Derivative. Curve Sketching. Optimization I. Optimization II. 11. INTEGRATION. Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Evaluating Definite Integrals. Area between Two Curves. Applications of the Definite Integral to Business and Economics. 12. CALCULUS OF SEVERAL VARIABLES. Functions of Several Variables. Partial Derivatives. Maxima and Minima of Functions of Several Variables.