Finite Mathematics with Applications

This book presents the content and applications in an accessible manner while maintaining an appropriate level of rigor. The authors proceed from familiar material to new, and from concrete examples to general rules and formulas. This edition retains its focus on real-world problem solving, but has been refreshed with a wealth of new data in the examples and exercises—42% of the 452 examples are new or revised, and 31% of the 3,741 exercises are new or revised.

Table of Contents:
Chapter 1: Algebra and Equations 1.1 The Real Numbers 1.2 Polynomials 1.3 Factoring 1.4 Rational Expressions 1.5 Exponents and Radicals 1.6 First-Degree Equations 1.7 Quadratic Equations Chapter 1 Summary Chapter 1 Review Exercises Case Study 1: Consumers Often Defy Common Sense   Chapter 2: Graphs, Lines, and Inequalities 2.1 Graphs 2.2 Equations of Lines 2.3 Linear Models 2.4 Linear Inequalities 2.5 Polynomial and Rational Inequalities Chapter 2 Summary Chapter 2 Review Exercises Case Study 2: Using Extrapolation to Predict Life Expectancy   Chapter 3: Functions and Graphs 3.1 Functions 3.2 Graphs of Functions 3.3 Applications of Linear Functions 3.4 Quadratic Functions 3.5 Applications of Quadratic Functions 3.6 Polynomial Functions 3.7 Rational Functions Chapter 3 Summary Chapter 3 Review Exercises Case Study 3: Architectural Arches   Chapter 4: Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Applications of Exponential Functions 4.3 Logarithmic Functions 4.4 Logarithmic and Exponential Equations Chapter 4 Summary Chapter 4 Review Exercises Case Study 4: Characteristics of the Monkeyface Prickleback   Chapter 5: Mathematics of Finance 5.1 Simple Interest and Discount 5.2 Compound Interest 5.3 Annuities, Future Value, and Sinking Funds 5.4 Annuities, Present Value, and Amortization Chapter 5 Summary Chapter 5 Review Exercises Case Study 5: Continuous Compounding   Chapter 6: Systems of Linear Equations and Matrices 6.1 Systems of Two Linear Equations in Two Variables 6.2 Larger Systems of Linear Equations 6.3 Applications of Systems of Linear Equations 6.4 Basic Matrix Operations 6.5 Matrix Products and Inverses 6.6 Applications of Matrices Chapter 6 Summary Chapter 6 Review Exercises Case Study 6: Matrix Operations and Airline Route Maps   Chapter 7: Linear Programming 7.1 Graphing Linear Inequalities in two Variables 7.2 Linear Programming: The Graphical Method 7.3 Applications of Linear Programming 7.4 The Simplex Method: Maximization 7.5 Maximization Applications 7.6 The Simplex Method: Duality and Minimization 7.7 The Simplex Method: Nonstandard Problems Chapter 7 Summary Chapter 7 Review Exercises Case Study 7: Cooking with Linear Programming   Chapter 8: Sets and Probability 8.1 Sets 8.2 Applications of Venn Diagrams 8.3 Introduction to Probability 8.4 Basic Concepts of Probability 8.5 Conditional Probability and Independent Events 8.6 Bayes’ Formula Chapter 8 Summary Chapter 8 Review Exercises Case Study 8: Medical Diagnosis   Chapter 9: Counting, Probability Distributions, and Further Topics in Probability 9.1 Probability Distributions and Expected Value 9.2 The Multiplication Principle, Permutations, and Combinations 9.3 Applications of Counting 9.4 Binomial Probability 9.5 Markov Chains 9.6 Decision Making Chapter 9 Summary Chapter 9 Review Exercises Case Study 9: QuickDraw® from the New York State Lottery   Chapter 10: Introduction to Statistics 10.1 Frequency Distributions 10.2 Measures of Central Tendency 10.3 Measures of Variation 10.4 Normal Distributions 10.5 Normal Approximation to the Binomial Distribution Chapter 10 Summary Chapter 10 Review Exercises Case Study 10: Statistics in the Law–The Castañeda Decision   Appendixes Appendix A: Graphing Calculators Appendix B: Tables     Table 1: Formulas from Geometry     Table 2: Areas under the Normal Curve     Table 3: Integrals   Answers to Selected Exercises Index of Applications Index

About the Author :
Marge Lial has always been interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.   Thomas W. Hungerford received his bachelor’s degree from Holy Cross and his Ph.D. from the University of Chicago. He taught for many years at the University of Washington (Seattle) before moving to Cleveland State University in 1980. He has been at St. Louis University since 2003. He has written a number of research articles in algebra and several in mathematics education. Dr. Hungerford is the author or coauthor of more than a dozen mathematics textbooks, ranging from high school to graduate level, several of which are published by Addison-Wesley. He is active in promoting the effective use of technology in mathematics instruction. Dr. Hungerford has also been a referee and reviewer for various mathematical journals and has served on National Science Foundation panels for selecting grant recipients.   John P. Holcomb, Jr. received his bachelor's degree from St. Bonaventure University and his Ph.D. from the University at Albany, State University of New York. He taught for five years at Youngstown State University prior to arriving at Cleveland State University in Fall 2000. He is an associate professor and frequently collaborates with researchers in a variety of disciplines where he provides statistical analysis. Dr. Holcomb has also authored several papers in statistical education and is very active in the American Statistical Association and the Mathematical Association of America. He was named a Carnegie Scholar in 2000 by the Carnegie Foundation for the Advancement of Teaching and Learning and in 2003 received the Waller Award from the American Statistical Association for outstanding teaching of introductory statistics.