Preface
To the Student
For All Practical Purposes, Tenth Edition, continues our effort to bring the excitement of contemporary mathematical thinking to the nonspecialist. In science and industry, mathematical models are the main tools for analyzing and solving problems that arise. In this book, our goal is to convey the power of mathematics by showing you the wide variety of problems that can be modeled and solved by quantitative means. An extensive package of supplements designed to make study time supremely effective complements the tenth edition. Highlights of the supplements package include the Student Study Guide and Student Solutions Manual. Between the text and the available resources, For All Practical Purposes offers you the tools to succeed in the course and apply your new knowledge to daily life experiences.
There are many ways to talk about why mathematics and its applications matter. You will hear expressions such as “mathematical literacy” or “quantitative literacy.” They mean, essentially, that math is important. It is important because knowing it can make your life easier. In other words, it can help explain how your world works. We created this course and this book because we know that not everyone looks at mathematics in this way.
In school, you spent a great deal of time learning the tools of mathematics—how to manipulate symbols and how to solve equations. In this course, you will spend time learning about the power of mathematics, which helps us understand many different parts of our everyday lives and the world itself. We hope this exploration will give you a broader sense of the subject and why we wanted you to take a math course every year you were in school. It’s “for all practical purposes” because, in a sense, you’ve learned to hammer nails and saw wood—and now we’re going to build houses.
Enjoy!
To the Instructor
Because For All Practical Purposes stresses the connections between contemporary mathematics and modern society, our text must be flexible enough to accommodate new ideas in mathematics and their new applications to our daily lives. We maintain this flexibility in the tenth edition.
Our primary goal for this edition was to further improve the ease of use for instructors and students alike. An extensive supplements package is available within LaunchPad, W. H. Freeman’s new online homework system. LaunchPad offers content that has been curated and organized for easy assignability in a simple but powerful interface. Assets integrated into LaunchPad include an interactive e-Book, LearningCurve, practice quizzes, exercise solutions, interactive applets, flashcards, video clips, and much more.
New to the Tenth Edition
New Algebra Review Appendix
An all-new Algebra Review Appendix offers reviews on basic concepts used in the text and includes straightforward examples, technology tips, and practice exercises. Answers to all practice exercises are also included. References to relevant sections of the Algebra Review Appendix appear throughout the text in the margins.
New Self Check Exercises
Self Check exercises have been added throughout the text, with answers at the end of each chapter, allowing students to check their understanding of new concepts as the material is being taught. Instructors can also use these exercises in class as part of their lectures.
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New Examples
New and updated examples are included throughout the text to address new topics and changes to the material. Examples provide new topics for class discussion and new ways of relating to essential concepts.
New Exercises
- Exercise sets, including Skills Check questions, have been updated and refreshed.
- Over 200 Self Check exercises have been added throughout the chapters.
- The new Algebra Review Appendix includes over 200 practice exercises.
- New Chapter Review exercises have been added to the exercise sets. These exercises are not organized by section and test student understanding of the chapter material as a whole.
Part-Specific content changes
Part I: Management Science
- New discussion of the importance of operations research for improving health care (Chapters 1, 3, and 4).
- Revised example illustrating how to cut the costs of installing a local cable TV network (Chapter 2).
- A new case study, which closes Part I, offers a discussion of the ideas behind Alvin Roth and Lloyd Shapley’s Nobel Prize-winning work about stable allocations, such as pairing hospitals and medical school graduates for residencies and pairing schoolchildren with schools they want to attend (school choice).
Part II: Statistics: The Science of Data
- Throughout Part II, more graphic displays have been added to help students visualize the material.
- SPOTLIGHT features have been added about the use of technology (TI-84 graphing calculator, Excel) for calculations, creation of graphic displays, and selection of simple random samples (Chapters 5–8).
- Expanded directions for constructing histograms and stemplots, along with examples on changing histogram class intervals and expanding stemplot stems (Chapter 5).
- Addition of an example showing computation of correlation from a formula (Chapter 6, Example 7).
- Explanation of least-squares criterion (Chapter 6). Addition of an example showing the dangers of extrapolation (Chapter 6, Example 10).
- Discussion of how the Pew Research Center modifies its telephone survey plans to correct for undercoverage (SPOTLIGHT 7.2).
- Expanded instructions on selecting a simple random sample (Chapter 7).
- Expanded discussion of ethics in experiments (SPOTLIGHT 7.3).
- Expanded discussion of the basic rules of probability (Chapter 8).
- Inclusion of estimation of probabilities based on survey data (Chapter 8).
- Coverage of conditional probability and Bayes’ Rule (Section 8.2).
Part III: Voting and Social Choice
- Simplified coverage of the Banzhaf Power Index (Chapter 11).
- New section on the use of apportionment in presidential primaries, including an example with real data from the 2008 Democratic primary (Section 12.1).
- Improved presentation of spatial modeling by introducing discrete models first and using them to analyze the Electoral College (Chapter 12).
Part IV: Fairness and Game Theory
- Expanded coverage of the history of the apportionment of seats in the U.S. House of Representatives (Chapter 14).
- New section highlights mechanism design— designing a game to achieve a particular outcome (Section 15.4).
- New examples model a work location versus schedule decision, as well as the goalie/kicker interaction in a soccer penalty kick (Chapter 15).
Part V: The Digital Revolution
- New examples of check-digit schemes (Chapter 16).
- Expanded summary of error-detection schemes (Chapter 16).
- Expanded SPOTLIGHT on history of bar codes (Chapter 16).
- New title for Chapter 17 to more accurately describe the content.
- New SPOTLIGHT features, covering facts about social security numbers, enigma machines, Mavis Batey, Alan Turing, and smart cards (Chapter 17).
- Added coverage of permutation, Playfair, and Jefferson wheel ciphers (Chapter 17).
- New website and video suggestions added (Chapter 17).
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Part VI: On Size and Growth
- Revised exercises that consider production of solar energy, consumption by electric cars, and units for measuring water use (Chapter 18).
- New SPOTLIGHT featuring an award-winning young mathematician whose interest was prompted by rhythms that he learned from playing drums and reading Sanskrit poetry (SPOTLIGHT 19.2).
- New SPOTLIGHT on the use of Fibonacci numbers in optimizing the design of a solar power plant (SPOTLIGHT 19.3).
- New examples of patterns on ancient and modern pottery (Chapter 19).
- New illustration of a Penrose pattern in San Francisco architecture, and new figures and exercises about the inflation of patterns, as well as a discussion of the Nobel Prize awarded for the discovery of quasicrystals (Chapter 20).
- New SPOTLIGHT on mathematics and autism (SPOTLIGHT 20.5).
Part VII: Your Money and Resources
- Incorporation of current student loan interest rates into examples (Chapter 22).
- New section on discounted and add-on loans, with exercises about payday loans (Chapter 22).
- Example showing details of costs at a real estate closing (Chapter 22).
- New SPOTLIGHT on how minimum-size catch limits manipulate fish genetics (SPOTLIGHT 23.4).
- New exercises on radioactive isotopes, including those used in medicine and those released in the meltdown of Japanese reactors (Chapter 23).
Focus on Accuracy
For this edition, we once again implemented a detailed accuracy-checking plan to sustain the quality of the exercises and solutions. To this end, we are very grateful to Dennis Evans of Concordia University- Wisconsin and Paul McCombs of Rock Valley College.
Custom Options
In addition to the extensive topics covered in the text, more traditional chapters (including Problem Solving, Sets, Logic, Geometry, Counting and Probability, Numeration Systems, and Personal Finance) are available with For All Practical Purposes through custom publishing. For more information, please contact your W. H. Freeman representative or go to www. macmillanhighered.com/fapp10e. Restrictions apply.
Media and Supplements
The media and supplements package for the tenth edition has been updated to reflect changes in the book. Both instructors and students will benefit from the innovative materials available to them.
W. H. Freeman’s new online homework system, LaunchPad, offers quality content that has been curated and organized for easy assignability in a simple but powerful interface. We have taken what we have learned from thousands of instructors and hundreds of thousands of students to create a new generation of W. H. Freeman/ Macmillan technology.
Curated units. Combining a curated collection of videos, homework sets, tutorials, applets, and e-Book content, LaunchPad’s interactive units give instructors a building block to use as is or as a starting point for customized learning units. A majority of exercises from the text can be assigned as online homework, including an abundance of algorithmic exercises. An entire unit’s worth of work can be assigned in seconds, drastically reducing the amount of time it takes for instructors to have their course up and running.
Easily customizable. Instructors can customize the LaunchPad units by adding quizzes and other activities from our vast wealth of resources. They can also add a discussion board, a drop box, and an RSS feed, with just a few clicks. LaunchPad allows instructors to customize students’ experiences as much or as little as desired.
Useful analytics. The gradebook quickly and easily allows instructors to look up performance metrics for classes, individual students, and individual assignments.
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Intuitive interface and design. The student experience is simplified. Students’ navigation options and expectations are clearly laid out at all times, ensuring they can never get lost in the system.
Assets integrated into LaunchPad include the following:
Interactive e-Book. Every LaunchPad e-Book comes with powerful study tools for students, video and multimedia content, and easy customization for instructors. Students can search, highlight, and bookmark, making it easier to study and access key content. And teachers can ensure that their classes get just the book they want to deliver by customizing and rearranging chapters; adding and sharing notes and discussions; and linking to quizzes, activities, and other resources.
LearningCurve provides students and instructors with powerful adaptive quizzing, a game-like format, direct links to the e-Book, and instant feedback. The quizzing system features questions tailored specifically to the text, and it adapts to students’ responses, providing material at different difficulty levels and topics based on student performance.
SolutionMaster offers an easy-to-use web-based version of the instructor’s solutions, allowing instructors to generate a solution file for any set of homework exercises.
Other online homework options include:
WebAssign integrates the text exercises from For All Practical Purposes, Tenth Edition, into a popular and trusted online homework system, making it easy to assign algorithmically generated homework and quizzes.
Student Resources
- Student Solutions Manual provides solutions to the odd-numbered exercises, with step-by- step solutions to select problems.
- Student Study Guide offers study tips and tools to help students gain a better understanding of course material, including key ideas for each section and additional examples and practice exercises.
- Interactive applets help students master key mathematical concepts and work exercises.
- Math Clips are animated whiteboard videos that illuminate key concepts in the text by showing students step-by-step solutions to selected exercises.
- Self-quizzes, flash cards, and other projects offer additional study help.
Instructor Resources
- Instructor’s Guide with Full Solutions includes teaching suggestions, chapter comments, and detailed solutions to all exercises.
- Teaching Guide for First-Time Instructors helps instructors, adjuncts, and teaching assistants plan their course more easily and effectively. This guide also offers fresh perspectives and ideas to experienced instructors.
- Test Bank offers thousands of multiple-choice questions.
- Lecture slides offer a detailed lecture presentation of concepts covered in each chapter of For All Practical Purposes, Tenth Edition.
- Clicker Questions are available for each chapter.
Companion Website
www.macmillanhighered.com/fapp10e This open-access website provides students with access to the applets referenced throughout the text.
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