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Using and Understanding Mathematics: A Quantitative Reasoning Approach, 5/E
Jeffrey O. BennettUniversity of Colorado at Boulder
William BriggsUniversity of Colorado at Denver

ISBN-10: 0321652797
ISBN-13:  9780321652799

Publisher:  Pearson
Copyright:  2011
Format:  Cloth; 744 pp
Published:  01/21/2010
Status: Instock


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Using and Understanding Mathematics: A Quantitative Reasoning Approach increases students‘ mathematical literacy so that they better understand the mathematics used in their daily lives.

 

Ideal for courses that emphasize quantitative reasoning, Bennett and Briggs prepare students to use math effectively to make better decisions throughout their lives. Contents are organized with that in mind, with engaging coverage in sections like Taking Control of Your Finances, Dividing the Political Pie, and a full chapter about Mathematics and the Arts.

 

This Fifth Edition offers new hands-on Activities for use with students in class, new ways for students to check their understanding through Quick Quizzes, and a new question type in MyMathLab that applies math to recent events in the news. In addition, the authors increase their coverage of consumer math, and provide a stronger emphasis on technology through new Using Technology features and exercises. The new Insider's Guide provides instructors with tips and ideas for effective use of the text in teaching the course.

 


Features

  • The real-world focus turns students’ attention to the math they will need for their daily lives, and keeps them engaged during the course.
    • The table of contents is organized by real-world context, not by mathematical content. Interesting, applicable coverage appears throughout, like Unit 4A: Taking Control of Your Finances, Chapter 11: Mathematics and the Arts, and Unit 12D: Dividing the Political Pie.
    • The modular organization makes the text flexible, allowing instructors to teach the topics they want to teach. Chapters are divided into self-contained units that can be rearranged if desired.
    • NEW! A hands-on Activity begins each chapter so that students are engaged from page one. Activities ask students to step through practical applications of the math, for example, using dice to simulate the chances of spreading disease in a population.
    • Using Technology boxes demonstrate how to use a graphing calculator, Excel®, or other software when applying math concepts. For example, students use their calculators to build a savings plan and see its effect over time.
    • Practical Matters focus on common-sense applications and daily occurrences when math is applied, such as avoiding credit card trouble and spotting a bad cell phone deal.
    • Notes in the margin–By the Way, Historical Notes, and Take Note–appear beside key concepts to show their relevance to aspects of daily life and additional mathematical detail.
  • Study and review features in every chapter are designed to help students use their time effectively.
    • A Brief Review summarizes key mathematical skills that students should have learned previously. These appear wherever a particular skill is first needed, with exercises based on the review boxes can be found at the end of the unit. These can be skipped if students already have a firm grasp of the requisite skill.
    • Now Try exercise references appear at the end of every example and direct students to a specific exercise, immediately testing their comprehension of the material.
    • Time Out to Think appears throughout the book and poses short conceptual questions designed to help students reflect on important new ideas. These also serve as excellent starting points for classroom discussions.
    • Thinking About features build on the main narrative and are designed to encourage a deeper level of mathematical understanding. Examples include the proof of the Pythagorean Theorem and Zeno's paradox.
  • A wide range of exercises and problem types end each unit, making it easy for instructors to create assignments to fit their course goals.
    • Quick Quizzes appear before the problem sets, offering ten questions for students to briefly check their understanding of the unit’s concepts before attempting the homework.
    • Does It Make Sense? questions are qualitative exercise questions that test conceptual understanding by asking whether given statements are sensible, and then asking students to explain why or why not.
    • Basic Skills and Concepts cover concepts from the unit and provide exercises that can be used for homework assignments or for self-study. Answers to most odd-numbered exercises appear in the back of the book.
    • Web Projects require students to search for data or other information online. These can be used for extended projects, discussions, group activities, or essays.
    • Using Technology exercises provide students an opportunity to practice skills with a graphing calculator, Excel®, or other software they might normally use.
    • In Your World exercises challenge students to find examples of unit concepts in the news or in their daily lives. These questions may be assigned as homework or used for class discussions.
    • Applications Exercises include updated current data for increased relevance for students.
  • Art Annotations enhance the figures, improving their effectiveness as learning tools.
  • MyMathLab® provides students with a personalized interactive learning environment, where they can learn at their own pace and gain immediate feedback and help. MyMathLab engages students in active learning–it’s modular, self-paced, accessible anywhere with Web access, and adaptable to each student’s learning style. In addition, MyMathLab provides instructors with a rich and flexible set of text-specific resources, including course management tools, to support online, hybrid, or traditional courses. MyMathLab is available to qualified adopters. For more information, visit our website at www.mymathlab.com or contact your Pearson representative.

 


New To This Edition

  • A hands-on activity now begins each chapter, encouraging students to engage with math in a meaningful way, for example, using dice to simulate the chances of spreading disease in a population.
  • A full online Activity Manual now appears in MyMathLab, for those who wish to do more activities in the course. The contents of the Activity Manual are correlated to the textbook, making them easier to assign.
  • Using Technology boxes include content from Using Your Calculator boxes in the previous edition as well as new information on Excel®, graphing calculators, and other interesting technology applications and software programs.
  • Using Technology exercises have been added to select units and include questions that use Excel, calculators, or other technology applications.
  • Approximately 30% of the exercises are new or updated.
  • Select examples are now displayed in two columns, so that multi-step problems can be stepped out for students in a way that helps them learn how to solve the problem type.
  • New content has been added to Chapter 4, Managing Your Money. This includes new coverage of stocks, bonds, taxes, credit card interest, payday loans, and sub-prime mortgages.
  • Quick Quizzes now end each unit to test students’ conceptual understanding before they begin the exercises. These multiple choice questions are designed to be answered with an explanation on why a particular answer was selected, and will help students prepare for the rest of the exercise set. Answers are included in the text so students can check their answers.
  • Insider’s Guide is written by instructors, for instructors. With teaching ideas, sample syllabi, tips for student success in each chapter, this guide will be invaluable for both new and experienced instructors who want to enliven their course.
  • New to the MyMathLab course:
    • A new problem type presents an excerpt from a current news article or video clip and asks students to apply math concepts to a real-world situation.
    • Live RSS feeds from news sources such as ABC News are available in MyMathLab for the new edition, so that instructors and students have access to regular news updates. These articles can be used in class discussions and projects as appropriate.
    • Increased exercise coverage in MathXL and MyMathLab gives students more problems to practice the skills.
    • The Image library contains all art from the text for instructors to use in their own presentations and handouts.

 


Table of Contents

Preface

Prologue: Literacy for the Modern World

 

Part 1 Logic and Problem Solving

Chapter 1 Thinking Critically

1A Recognizing Fallacies

1B Propositions and Truth Values

1C Sets and Venn Diagrams

1D Analyzing Arguments

1E Critical Thinking in Everyday Life

 

Chapter 2 Approaches to Problem Solving

2A The Problem-Solving Power of Units

2B Standardized Units: More Problem-Solving Power

2C Problem-Solving Guidelines and Hints

 

Part 2 Quantitative Information in Everyday Life

Chapter 3 Numbers in the Real World

3A Uses and Abuses of Percentages

3B Putting Numbers in Perspective

3C Dealing with Uncertainty

3D Index Numbers: The CPI and Beyond

3E How Numbers Deceive: Polygraphs, Mammograms, and More

 

Chapter 4 Managing Money

4A Taking Control of Your Finances

4B The Power of Compounding

4C Savings Plans and Investments

4D Loan Payments, Credit Cards, and Mortgages

4E Income Taxes

4F Understanding the Federal Budget

 

Part 3 Probability and Statistics

Chapter 5 Statistical Reasoning

5A Fundamentals of Statistics

5B Should You Believe a Statistical Study?

5C Statistical Tables and Graphs

5D Graphics in the Media

5E Correlation and Causality

 

Chapter 6 Putting Statistics to Work

6A Characterizing Data

6B Measures of Variation

6C The Normal Distribution

6D Statistical Inference

 

Chapter 7 Probability: Living with the Odds

7A Fundamentals of Probability

7B Combining Probabilities

7C The Law of Large Numbers

7D Assessing Risk

7E Counting and Probability

 

Part 4 Modeling

Chapter 8 Exponential Astonishment

8A Growth: Linear versus Exponential

8B Doubling Time and Half-Life

8C Real Population Growth

8D Logarithmic Scales: Earthquakes, Sounds, and Acids

 

Chapter 9 Modeling Our World

9A Functions: The Building Blocks of Mathematical Models

9B Linear Modeling

9C Exponential Modeling

 

Chapter 10 Modeling with Geometry

10A Fundamentals of Geometry

10B Problem Solving with Geometry

10C Fractal Geometry

 

Part 5 Further Applications

Chapter 11 Mathematics and the Arts

11A Mathematics and Music

11B Perspective and Symmetry

11C Proportion and the Golden Ratio

 

Chapter 12 Mathematics and Politics

12A Voting: Does the Majority Always Rule?

12B Theory of Voting

12C Apportionment: The House of Representatives and Beyond

12D Dividing the Political Pie

 

Credits

Answers

Index


Previous Edition(s)

  • Using and Understanding Mathematics: A Quantitative Reasoning Approach, 4/E
    Bennett & Briggs
    ©2008  |  Pearson  |  Cloth; 848 pp  |  Out of Print
    ISBN-10: 0321458206  |  ISBN-13: 9780321458209
    Brief Description  |  More Info



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Author Bios

Jeffrey Bennett specializes in mathematics and science education. He has taught at every level from pre-school through graduate school, including more than 50 college courses in mathematics, physics, astronomy, and education. His work on Using and Understanding Mathematics began in 1987, when he helped create a new mathematics course for the University of Colorado’s core curriculum. Variations on this course, with its quantitative reasoning approach, are now taught at hundreds of colleges nationwide. In addition to his work in mathematics, Dr. Bennett (whose PhD is in astrophysics) has written leading college-level textbooks in astronomy, statistics, and the new science of astrobiology, as well as books for the general public. He also proposed and developed both the Colorado Scale Model Solar System on the University of Colorado at Boulder campus and the Voyage Scale Model Solar System, a permanent, outdoor exhibit on the National Mall in Washington, DC. He has recently begun writing science books for children, including the award-winning Max Goes to the Moon and Max Goes to Mars. When not working, he enjoys swimming as well as hiking the trails of Boulder, Colorado with his family.

 

William L. Briggs has been on the mathematics faculty at the University of Colorado at Denver for 22 years. He teaches numerous courses within the undergraduate and graduate curriculum, and has special interest in teaching calculus, differential equations, and mathematical modeling. He developed the quantitative reasoning course for liberal arts students at University of Colorado at Denver supported by his textbook Using and Understanding Mathematics. He has written two other tutorial monographs, The Multigrid Tutorial and The DFT: An Owner's Manual for the Discrete Fourier Transform, as well as Ants, Bikes, Clocks, a mathematical problem solving text for undergraduates. He is a University of Colorado President's Teaching Scholar, an Outstanding Teacher awardee of the Rocky Mountain Section of the MAA, and the recipient of a Fulbright Fellowship to Ireland. Bill lives with his wife, Julie, and their Gordon setter, Seamus, in Boulder, Colorado. He loves to bake bread, run trails, and rock climb in the mountains near his home.

 

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MathXL -- Instant Access -- for Using and Understanding Mathematics, 5/E
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©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0321653106  |  ISBN-13: 9780321653109
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Activities Manual (Download only) for Using and Understanding Mathematics: A Quantitative Reasoning Approach, 5/E
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ISBN-10: 0321664167  |  ISBN-13: 9780321664167

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Insider's Guide for Using and Understanding Mathematics: A Quantitative Reasoning Approach, 5/E
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ISBN-10: 0321664175  |  ISBN-13: 9780321664174

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Instructor's Solutions Manual for Using and Understanding Mathematics, 5/E
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ISBN-10: 0321652932  |  ISBN-13: 9780321652935

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Instructor's Testing Manual (Download only) for Using and Understanding Mathematics, 5/E
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TestGen® Computerized Test Bank for Using and Understanding Mathematics, 5/E
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Annotated Instructor's Edition for Using and Understanding Mathematics, 5/E
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ISBN-10: 0321652940  |  ISBN-13: 9780321652942
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ISBN-10: 0321653092  |  ISBN-13: 9780321653093
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MathXL -- Instant Access -- for Using and Understanding Mathematics, 5/E
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Student Study Guide and Solutions Manual for Using and Understanding Mathematics, 5/E
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©2011  |  Pearson  |  Paper; 192 pp  |  Instock
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MathXL -- Instant Access -- for Using and Understanding Mathematics, 5/E
Bennett & Briggs
©2011  |  Pearson  |  Website  |  Live
ISBN-10: 0321653106  |  ISBN-13: 9780321653109
More Info

MyMathLab with eBook -- Instant Access -- for Using and Understanding Mathematics, 5/E
Bennett & Briggs
©2011  |  On-line Supplement; 744 pp  |  Access Code Required  |  Live
ISBN-10: 0321653092  |  ISBN-13: 9780321653093
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