(eBook) (PDF) Using & Understanding Mathematics: A Quantitative Reasoning Approach, 7th edition
$29.90
By
Jeffrey O. Bennett,
William L. Briggs
Description
Overview
With Using & Understanding Mathematics, see the relevance of mathematics in everyday life. From buying groceries to paying taxes, the text will help you develop your critical-thinking and quantitative reasoning skills — so you can master the math you’ll encounter in your college courses, future career, and daily life.
Published by Pearson (July 14th 2021) – Copyright © 2019
ISBN-13: 9780137553334
Subject: Liberal Arts Math
Category: Quantitative Reasoning
- Preface
- Acknowledgments
- Prologue: Literacy for the Modern World
I. LOGIC AND PROBLEM SOLVING
- Thinking Critically
- Activity: Bursting Bubble
- 1A. Living in the Media Age
- In Your World: Fact Checking on the Web
- 1B. Propositions and Truth Values
- 1C. Sets and Venn Diagrams
- Brief Review: Sets of Numbers
- 1D. Analyzing Arguments
- Mathematical Insight: Deductive Proof of the Pythagorean Theorem
- 1E. Critical Thinking in Everyday Life
- In Your World: Beware of “Up to” Deals
- Approaches to Problem Solving
- Activity: Global Melting
- 2A. Understand, Solve, and Explain
- Brief Review: Common Fractions
- Brief Review: Decimal Fractions
- Using Technology: Currency Exchange Rates
- In Your World: Changing Money in Foreign Countries
- 2B. Extending Unit Analysis
- In Your World: Gems and Gold Jewelry
- Brief Review: Powers of 10
- Using Technology: Metric Conversions
- In Your World: Save Money and Save the Earth
- 2C. Problem-Solving Hints
- Mathematical Insight: Zeno’s Paradox
II. QUANTITATIVE INFORMATION IN EVERYDAY LIFE
- Numbers in the Real World
- Activity: Big Numbers
- 3A. Uses and Abuses of Percentages
- Brief Review: Percentages
- Brief Review: What Is a Ratio?
- 3B. Putting Numbers in Perspective
- Brief Review: Working with Scientific Notation
- Using Technology: Scientific Notation
- 3C. Dealing with Uncertainty
- Brief Review: Rounding
- Using Technology: Rounding in Excel
- 3D. Index Numbers: The CPI and Beyond
- Using Technology: The Inflation Calculator
- In Your World: The Chained CPI and the Federal Budget
- 3E. How Numbers Can Deceive: Polygraphs, Mammograms, and More
- Managing Money
- Activity: Student Loans
- 4A. Taking Control of Your Finances
- 4B. The Power of Compounding
- Brief Review: Powers and Roots
- Using Technology: Powers
- Using Technology: The Compound Interest Formula
- Using Technology: The Compound Interest Formula for Interest Paid More Than Once a Year
- Using Technology: APY in Excel
- Using Technology: Powers of e
- Brief Review: Four Basic Rules of Algebra
- In Your World: Effects of Low Interest Rates
- 4C. Savings Plans and Investments
- Mathematical Insight: Derivation of the Savings Plan Formula
- Using Technology: The Savings Plan Formula
- Using Technology: Fractional Powers (Roots)
- In Your World: Building a Portfolio
- 4D. Loan Payments, Credit Cards, and Mortgages
- Using Technology: The Loan Payment Formula (Installment Loans)
- Mathematical Insight: Derivation of the Loan Payment Formula
- Using Technology: Principal and Interest Portions of Loan Payments
- In Your World: Avoiding Credit Card Trouble
- In Your World: Choosing or Refinancing a Loan
- 4E. Income Taxes
- 4F. Understanding the Federal Budget
III. PROBABILITY AND STATISTICS
- Statistical Reasoning
- Activity: Cell Phones and Driving
- 5A. Fundamentals of Statistics
- Using Technology: Random Numbers
- 5B. Should You Believe a Statistical Study?
- In Your World: The Gun Debate: Defensive Gun Use
- 5C. Statistical Tables and Graphs
- Using Technology: Frequency Tables in Excel
- Using Technology: Bar Graphs and Pie Charts in Excel
- Using Technology: Line Charts in Excel
- 5D. Graphics in the Media
- Using Technology: Graphs with Multiple Data Sets
- 5E. Correlation and Causality
- Using Technology: Scatterplots in Excel
- Putting Statistics to Work
- Activity: Are We Smarter Than Our Parents?
- 6A. Characterizing Data
- Using Technology: Mean, Median, and Mode in Excel
- 6B. Measures of Variation
- Using Technology: Standard Deviation in Excel
- 6C. The Normal Distribution
- Using Technology: Standard Scores and Percentiles in Excel
- 6D. Statistical Inference
- In Your World: Is Polling Reliable?
- Probability: Living With The Odds
- Activity: Lotteries
- 7A. Fundamentals of Probability
- Brief Review: The Multiplication Principle
- 7B. Combining Probabilities
- 7C. The Law of Large Numbers
- 7D. Assessing Risk
- In Your World: Terrorism, Risk, and Human Psychology
- 7E. Counting and Probability
- Using Technology: Factorials
- Brief Review: Factorials
- Using Technology: Permutations
- Using Technology: Combinations
IV. MODELING
- Exponential Astonishment
- Activity: Towers of Hanoi
- 8A. Growth: Linear vs. Exponential
- 8B. Doubling Time and Half-Life
- Using Technology: Logarithms
- Brief Review: Logarithms
- 8C. Real Population Growth
- In Your World: Choosing Our Fate
- 8D. Logarithmic Scales: Earthquakes, Sounds, and Acids
- In Your World: Ocean Acidification
- Modeling Our World
- Activity: Climate Modeling
- 9A. Functions: The Building Blocks of Mathematical Models
- Brief Review: The Coordinate Plane
- 9B. Linear Modeling
- Using Technology: Graphing Functions
- In Your World: Algebra’s Baghdad Connection
- 9C. Exponential Modeling
- Brief Review: Algebra with Logarithms
- Mathematical Insight: Doubling Time and Half-Life Formulas
- In Your World: Changing Rates of Change
- Modeling With Geometry
- Activity: Eyes in the Sky
- 10A. Fundamentals of Geometry
- Mathematical Insight: Archimedes and Pi
- In Your World: Plato, Geometry, and Atlantis
- 10B. Problem Solving with Geometry
- 10C. Fractal Geometry
V. FURTHER APPLICATIONS
- Mathematics and The Arts
- Activity: Digital Music Files
- 11A. Mathematics and Music
- In Your World: Music Just for You
- 11B. Perspective and Symmetry
- 11C. Proportion and the Golden Ratio
- Mathematics and Politics
- Activity: Partisan Redistricting
- 12A. Voting: Does the Majority Always Rule?
- In Your World: Counting Votes–Not as Easy as It Sounds
- 12B. Theory of Voting
- In Your World: The Electoral College and the Presidency
- 12C. Apportionment: The House of Representatives and Beyond
- 12D. Dividing the Political Pie
Credits
Answers to Quick Quizzes and Odd-Numbered Exercises
Index
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