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Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, this new hybrid edition features the instructional presentation found in the printed text while delivering end-of-section exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online! Full of relevant, diverse, and current real-world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS, Sixth Edition helps your students relate to mathematics. A large number of the applications are based on real, referenced data from business, economics, the life sciences, and the social sciences. Thorough, clearly delineated spreadsheet and TI Graphing Calculator instruction appears throughout the text. The Technology Notes and Technology Guides are optional, allowing you to include any amount of technology instruction in your courses. Acclaimed for accuracy and readability, FINITE MATHEMATICS appeals to, and is appropriate for, all types of teaching and learning styles. Resources, such as the accompanying author website, allow the text to support a range of course formats, from traditional lectures to strictly online courses.
- Current Applications: Many examples and exercises based on dated information have been replaced by more current versions; those based on unique or historically interesting data have been retained. New and updated real data applications reflect topics that are of intense current interest or of general interest to contemporary students. These include Facebook, XBoxes, iPhones, iPads, foreclosure rates, the housing crisis, subprime mortgages, stock market gyrations, shorting the stock market, and travel to Cancun. The inside back cover lists corporations referenced in the applications.
- Connection Between Functions and Equations: Chapter 1 now discusses the common practice of representing functions as equations and vice versa; for instance, a cost equation like C = 10x + 50 can be thought of as defining a cost function C(x) = 10x + 50. The authors encourage students to see this connection and equip them to be able to switch from one interpretation to the other.
- Discussion of Functions in Context: Coverage of functions and models in Section 1.2 now includes a discussion of the algebra of functions presented through the context of important applications rather than as an abstract concept. This allows students to see from the outset why it's important to learn about sums, products, etc. of functions rather than simply how to manipulate them.
- Early Treatment of the Mathematics of Finance: Formerly Chapter 5, "The Mathematics of Finance" is now Chapter 2 because many important finance topics relate directly to the first discussions of compound interest and other mathematical models in Chapter 1. The discussion of the mathematics of finance does not require the use of logarithmic functions to solve for exponents analytically, but instead focuses on numerical solutions using the technologies discussed. The use of logarithms is presented as an option for students and instructors who prefer to use them.
- Updated Case Studies: A number of the Case Studies at the ends of the chapters have been extensively revised with updated real data. These helpful applications continue to reflect topics of current interest, such as subprime mortgages, hybrid car production, and the diet problem (in linear programming).
- Chapter Review Exercises: Chapter review exercise sets have been expanded to be more representative of the material within the chapter. Students will appreciate the applications in these exercises, all of which revolve around the fictitious online bookseller, OHaganBooks.com, and the various (and often amusing) travails of company CEO John O'Hagan and his business associate Marjory Duffin. In addition, numerous new conceptual Communication and Reasoning exercises include many dealing with common student errors and misconceptions.
- More Flexible Technology Guides: End-of-chapter Technology Guides now discuss the use of spreadsheets in general rather than focusing exclusively on Microsoft® Excel®. This enables readers to use any of the several alternatives now available, such as Google's online Google Sheets®, Open Office®, and Apple's Numbers®.
- Quick Examples: Most definition boxes include quick, straightforward examples that students can use to solidify their understanding of each new concept.
- Question-and-Answer Dialogues: The text frequently uses informal question-and-answer dialogues that anticipate the kinds of questions that may occur to students, and guide students through the development of new concepts.
- Marginal Technology Notes: Brief marginal technology notes outline the use of graphing calculator, spreadsheet, and website technology in appropriate examples. When necessary, the reader is referred to more detailed discussion in the end-of-chapter Technology Guides.
- End-of-Chapter Technology Guides: Detailed TI-83/84 Plus and Spreadsheet Guides at the end of each chapter are referenced liberally in marginal technology notes at appropriate points in the chapter, so instructors and students can easily use this material or not, as they prefer. Groups of exercises for which the use of technology is suggested or required appear throughout the exercise sets.
- Communication and Reasoning Exercises for Writing and Discussion: These exercises, which often have no single correct answer, are designed to broaden students' grasp of the mathematical concepts and develop modeling skills. They include exercises in which the student is asked to provide his or her own examples to illustrate a point or design an application with a given solution. They also include "fill-in-the-blank" type exercises, exercises that invite discussion and debate, and exercises in which the student must identify common errors.
- Author Website: The authors' website has been evolving for more than a decade and provides students with a personalized study resource that includes interactive tutorials, games, detailed chapter summaries, Excel tutorials, online utilities, chapter true-false quizzes, and supplemental topics. In addition, chapter summaries and many of the tutorials, game tutorials, and utilities are available in Spanish.
- Case Studies: Each chapter ends with a Case Study, an extended application that uses and illustrates the central ideas of the chapter, focusing on the development of mathematical models appropriate to the topics. Ideal for assignment as projects, these applications conclude with groups of exercises.
- Before We Go On: Most examples are followed by supplementary discussions, which may include a check on the answer, a discussion of the feasibility and significance of a solution, or an in-depth look at what the solution means.
Real Numbers. Exponents and Radicals. Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. The Coordinate Plane.
1. FUNCTIONS AND APPLICATIONS.
Functions from the Numerical, Algebraic, and Graphical Viewpoints. Functions and Models. Linear Functions and Models. Linear Regression.
2. THE MATHEMATICS OF FINANCE.
Simple Interest. Compound Interest. Annuities, Loans, and Bonds.
3. SYSTEMS OF LINEAR EQUATIONS AND MATRICES.
Systems of Two Equations in Two Unknowns. Using Matrices to Solve Systems of Equations. Applications of Systems of Linear Equations.
4. MATRIX ALGEBRA AND APPLICATIONS.
Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Game Theory. Input-Output Models.
5. LINEAR PROGRAMMING.
Graphing Linear Inequalities. Solving Linear Programming Problems Graphically. The Simplex Method: Solving Standard Maximization Problems. The Simplex Method: Solving General Linear Programming Problems. The Simplex Method and Duality.
6. SETS AND COUNTING.
Sets and Set Operations. Cardinality. The Addition and Multiplication Principles. Permutations and Combinations.
Sample Spaces and Events. Relative Frequency. Probability and Probability Models. Probability and Counting Techniques. Conditional Probability and Independence. Bayes' Theorem and Applications. Markov Systems.
8. RANDOM VARIABLES AND STATISTICS.
Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions.