Using & Understanding Mathematics: A Quantitative Reasoning Approach, 8th edition

I. LOGIC AND PROBLEM SOLVING

• GETTING STARTED: LITERACY FOR THE MODERN WORLD
• Activity: Job Satisfaction
• What is Quantitative Reasoning?
• Quantitative Reasoning and Culture
• Quantitative Reasoning in the Work Force
• Misconceptions About Mathematics
• What Is Mathematics?
• How to Succeed in Mathematics

1. Thinking Critically
   • Activity: Pandemic Math
   • 1A. Living in the Media Age 
   • 1B. Propositions and Truth Values
   • 1C. Sets and Venn Diagrams
   • 1D. Analyzing Arguments
   • 1E. Critical Thinking in Everyday Life
   • Chapter 1 Summary
   • Chapter 1 Review Questions
2. Approaches to Problem Solving
   • Activity: Global Melting
   • 2A. Understand, Solve, and Explain
   • Using Technology: Currency Exchange Rates
   • 2B. Extending Unit Analysis
   • Using Technology: Metric Conversions 
   • 2C. Problem-Solving Hints
   • Chapter 2 Summary
   • Chapter 2 Review Questions

II. QUANTITATIVE INFORMATION IN EVERYDAY LIFE

3. Numbers in the Real World
   • Activity: More Pandemic Math: Is 90% Good Enough?
   • 3A. Uses and Abuses of Percentages
   • 3B. Putting Numbers in Perspective 
   • Using Technology: Scientific Notation
   • 3C. Dealing with Uncertainty 
   • Using Technology: Rounding in Excel
   • 3D. Index Numbers: The CPI and Beyond  
   • 3E. Numerical Surprises: Polygraphs, Mammograms, and More
   • Chapter 3 Summary
   • Chapter 3 Review Questions
4. Managing Money
   • Activity: Student Loans
   • 4A. Taking Control of Your Finances
   • 4B. The Power of Compounding
   • 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 
   • 4C. Savings Plans and Investments
   • Using Technology: The Savings Plan Formula 
   • Using Technology: Fractional Powers (Roots) 
   • 4D. Loan Payments, Credit Cards, and Mortgages
   • Using Technology: The Loan Payment Formula (Installment Loans) 
   • Using Technology: Principal and Interest Portions of Loan Payments 
   • 4E. Income Taxes
   • 4F. Understanding the Federal Budget
   • Chapter 4 Summary
   • Chapter 4 Review Questions

III. STATISTICS AND PROBABILITY

5. Statistical Reasoning
   • Activity: Cell Phones and Driving
   • 5A. Fundamentals of Statistics
   • Using Technology: Random Numbers
   • 5B. Should You Believe a Statistical Study?
   • 5C. Statistical Tables and Graphs
   • Using Technology: Frequency Tables in Spreadsheets
   • Using Technology: Bar Graphs and Pie Charts
   • Using Technology: Line Charts
   • 5D. Graphics in the Media
   • Using Technology: Graphs with Multiple Data Sets
   • 5E. Correlation and Causality
   • Using Technology: Scatterplots
   • Chapter 5 Summary
   • Chapter 5 Review Questions
6. Putting Statistics to Work
   • Activity: Are We Smarter Than Our Parents?
   • 6A. Characterizing Data
   • Using Technology: Mean, Median, and Mode
   • 6B. Measures of Variation
   • Using Technology: Standard Deviation
   • 6C. The Normal Distribution
   • Using Technology: Standard Scores and Percentiles
   • 6D. Statistical Inference
   • Chapter 6 Summary
   • Chapter 6 Review Questions
7. Probability: Living With The Odds
   • Activity: Lotteries
   • 7A. Fundamentals of Probability
   • 7B. Combining Probabilities
   • 7C. The Law of Large Numbers
   • 7D. Assessing Risk
   • 7E. Counting and Probability
   • Using Technology: Factorials 
   • Using Technology: Permutations 
   • Using Technology: Combinations
   • Chapter 7 Summary
   • Chapter 7 Review Questions

IV. MODELING

8. Exponential Astonishment
   • Activity: Towers of Hanoi
   • 8A. Growth: Linear vs. Exponential
   • 8B. Doubling Time and Half-Life
   • Using Technology: Logarithms 
   • 8C. Real Population Growth
   • 8D. Logarithmic Scales: Earthquakes, Sounds, and Acids
   • Chapter 8 Summary
   • Chapter 8 Review Questions
9. Modeling Our World
   • Activity: Climate Modeling
   • 9A. Functions: The Building Blocks of Mathematical Models
   • 9B. Linear Modeling
   • Using Technology: Graphing Functions 
   • 9C. Exponential Modeling
   • Chapter 9 Summary
   • Chapter 9 Review Questions
10. Modeling With Geometry
    • Activity: Eyes in the Sky
    • 10A. Fundamentals of Geometry
    • 10B. Problem Solving with Geometry
    • 10C. Fractal Geometry
    • Chapter 10 Summary
    • Chapter 10 Review Questions

V. FURTHER APPLICATIONS

11. Mathematics and The Arts
    • Activity: Digital Music Files
    • 11A. Mathematics and Music
    • 11B. Perspective and Symmetry
    • 11C. Proportion and the Golden Ratio
    • Chapter 11 Summary
    • Chapter 11 Review Questions
12. Mathematics and Politics
    • Activity: Partisan Redistricting
    • 12A. Voting: Does the Majority Always Rule?
    • 12B. Theory of Voting
    • 12C. Apportionment: The House of Representatives and Beyond
    • 12D. Dividing the Political Pie
    • Chapter 12 Summary
    • Chapter 12 Review Questions
13. Mathematics and Business (online only)
    • 13A. Network Analysis
    • 13B. The Traveling Salesperson Problem
    • 13C. Scheduling Problems
    • Chapter 13 Summary