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Finite Math and Applied Calculus, Hybrid, 6th Edition

  • includes Enhanced WebAssign with eBook LOE Printed Access Card for One-Term Math and Science.
  • Stefan Waner Hofstra University
  • Steven Costenoble Hofstra University
  • ISBN-10: 1285056361  |  ISBN-13: 9781285056364
  • 952 Pages
  • © 2014 | Published
  • List Price = $ 178.95
  • For quantity discounts, Contact your Representative
  • For single copy purchases, visit CengageBrain.com

About

Overview

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 AND APPLIED CALCULUS, Sixth Edition helps you 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 book. Acclaimed for its readability and supported by the authors' popular website, this book will help you grasp and understand mathematics--whatever your learning style may be.

Features and Benefits

  • 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.
  • 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.

Table of Contents

0. PRECALCULUS REVIEW.
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.
7. PROBABILITY.
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.
9. NONLINEAR FUNCTIONS AND MODELS.
Quadratic Functions and Models. Exponential Functions and Models. Logarithmic Functions and Models. Logistic Functions and Models.
10. INTRODUCTION TO THE DERIVATIVE.
Limits: Numerical and Graphical Approaches. Limits and Continuity. Limits: Algebraic Approach. Average Rate of Change. Derivatives: Numerical and Graphical Viewpoints. Derivatives: Algebraic Viewpoint.
11. TECHNIQUES OF DIFFERENTIATION.
Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginal Analysis. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation.
12. APPLICATIONS OF THE DERIVATIVE.
Maxima and Minima. Applications of Maxima and Minima. Higher Order Derivatives: Acceleration and Concavity. Analyzing Graphs. Related Rates. Elasticity.
13. THE INTEGRAL.
The Indefinite Integral. Substitution. The Definite Integral: Numerical and Graphical Approaches. The Definite Integral: Algebraic Approach and the Fundamental Theorem of.
14. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL.
Integration by Parts. Area Between Two Curves and Applications. Averages and Moving Averages. Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams. Improper Integrals and Applications. Differential Equations and Applications.
15. FUNCTIONS OF SEVERAL VARIABLES.
Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints. Partial Derivatives. Maxima and Minima. Constrained Maxima and Minima and Applications. Double Integrals and Applications.
16. TRIGONOMETRIC MODELS.
Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications.

What's New

  • Updated Examples and Exercises: 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.
  • Current Topics in Applications: 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, Androids, iPads, foreclosure rates, the housing crisis, subprime mortgages, travel to Cancun, the BP 2011 Gulf oil spill, and the U.S. stock market "flash crash" of May 6, 2010. 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. 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.
  • 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.
  • Chapter 10: The material on limits now discusses extensively when, and why, substitution can be used to obtain a limit. The text now also follows the usual convention of allowing only one-sided limits at endpoints of domains. This approach also applies to derivatives, where the book now disallows derivatives at endpoints of domains, as is the normal convention.
  • Chapter 11: The closed-form formula for the derivative of
  • x
  • , introduced in Section 11.1, is now more fully integrated into the text, as is that for its antiderivative (in Chapter 13).
  • Chapter 13: The sections on antiderivatives and substitution have been reorganized and streamlined, and now include discussion of the closed-form antiderivative of
  • x
  • and well as new exercises featuring absolute values. The definite integral is now introduced in the realistic context of the volume of oil released in an oil spill comparable in size to the BP 2011 Gulf oil spill.
  • Chapter 15: The discussion of level curves in Section 15.1 is now more extensive, and includes added examples and exercises.
  • 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, the diet problem (in linear programming), spending on housing construction, modeling tax revenues, and pollution control.
  • 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®.

Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Solutions Builder  (ISBN-10: 128508568X | ISBN-13: 9781285085685)

This time-saving resource offers fully worked instructor solutions to all exercises in the text in customizable online format. Adopting instructors can sign up for access at www.cengage.com/solutionbuilder.

PowerLecture with Examview  (ISBN-10: 1285085701 | ISBN-13: 9781285085708)

This CD-ROM provides the instructor with dynamic media tools for teaching, including Microsoft® PowerPoint® lecture slides, figures from the book, and the Test Bank. You can create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing, which includes Test Bank items in electronic format. In addition, you can easily build solution sets for homework or exams by linking to Solution Builder's online solutions manual.

Complete Solutions Manual  (ISBN-10: 1285085671 | ISBN-13: 9781285085678)

Complete solutions to all the problems in the text.

Student Solutions Manua  (ISBN-10: 1285085663 | ISBN-13: 9781285085661)

Check your work and reinforce your understanding with this manual, which contains complete solutions for all odd-numbered exercises in the text. You will also find problem-solving strategies plus additional algebra steps and review for selected problems.

List Price = $72.95  | CengageBrain Price = $72.95  | College Bookstore Wholesale Price = $55.00

Student Supplements

Student Solutions Manua  (ISBN-10: 1285085663 | ISBN-13: 9781285085661)

Check your work and reinforce your understanding with this manual, which contains complete solutions for all odd-numbered exercises in the text. You will also find problem-solving strategies plus additional algebra steps and review for selected problems.

List Price = $72.95  | CengageBrain Price = $72.95  | College Bookstore Wholesale Price = $55.00

Meet the Author

Author Bio

Stefan Waner

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 18 research papers as well as a research-level monograph in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day, they continue to work together on their textbook projects, their research in algebraic topology, and their teaching.

Steven Costenoble

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 18 research papers as well as a research-level monograph in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day, they continue to work together on their textbook projects, their research in algebraic topology, and their teaching.