Prologue: Literacy for the Modern World. I. LOGIC AND PROBLEM SOLVING.
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.
2. Approaches to Problem Solving. 2A The Problem-Solving Power of Units.
2B Standardized Units: More Problem-Solving Power.
2C Problem Solving: General Guidelines and Hints.
II. QUANTITATIVE INFORMATION IN EVERYDAY LIFE.
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.
4. Financial Management. 4A The Power of Compounding.
4B Savings Plans and Investements.
4C Loan Payments, Credit Cards, and Mortgages.
4D Income Taxes.
4E Understanding the Federal Budget.
III. PROBABILITY AND STATISTICS.
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.
6. Putting Statistics to Work. 6A Characterizing Data.
6B Measures of Variation.
6C The Normal Distribution.
6D Statistical Inference.
7. Probability: Living with the Odds. 7A Fundamentals of Probability.
7B Combining Probabilities.
7C The Law of Averages.
7D Assessing Risk.
7E Counting and Probability.
IV. MODELING.
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.
9. Modeling Our World. 9A Functions: The Building Blocks of Mathematical Models.
9B Linear Modeling.
9C Exponential Modeling.
V. FURTHER APPLICATIONS.
10. Mathematics and the Arts. 10A Fundamentals of Geometry.
10B Mathematics and Music.
10C Perspective and Symmetry.
10D Proportion and the Golden Ratio.
10E Fractal Geometry.
11. Mathematics and Politics. 11A Voting: Does the Majority Always Rule?.
11B Theory of Voting.
11C Apportionment: The House of Representatives and Beyond.
12. Mathematics in Business. 12A Network Analysis.
12B The Traveling Salesman Problem.
12C Project Design.