Bruce Crauder; Benny Evans; Jerry Johnson; Alan Noell
"I finally understand why I need to learn some math!" says a student after finishing a course that used Quantitative Literacy. That enthusiastic response gets to the heart of how this remarkable textbook works.Quantitative Literacy shows students that they use math in their everyday lives more than they realize, and that learning math in real-world contexts not only makes it easier to get better grades, but prepares them for decisions they’ll face about money, voting and politics, health issues, and much more. The authors draw on a wide range of examples to give students basic mathematical tools— from sports to personal finance to sociopolitical action to medical tests to the arts—with coverage that neatly balances discussions of ideas with computational practice.
Get the e-book, do assignments, take quizzes, prepare for exams and more, to help you achieve success in class.Learn More
Table of Contents
CHAPTER 1 CRITICAL THINKING
1.1 Public policy and Simpson’s paradox: Is “average” always average?
1.2 Logic and informal fallacies: Does that argument hold water?
1.3 Formal logic and truth tables: Do computers think?
1.4 Sets and Venn diagrams: Pictorial logic
1.5 Critical thinking and number sense: What do these figures mean?
CHAPTER 2 ANALYSIS OF GROWTH
2.1 Measurements of growth: How fast is it changing?
2.2 Graphs: Picturing growth
2.3 Misleading graphs: Should I believe my eyes?
CHAPTER 3 LINEAR AND EXPONENTIAL CHANGE: COMPARING GROWTH RATES
3.1 Lines and linear growth: What does a constant rate mean?
3.2 Exponential growth and decay: Constant percentage rates
3.3 Logarithmic phenomena: Compressed scales
3.4 Quadratics and parabolas: Foci, vertices, and optimization
CHAPTER 4 PERSONAL FINANCE
4.1 Saving money: The power of compounding
4.2 Borrowing: How much car can you afford?
4.3 Saving for the long term: Build that nest egg
4.4 Credit cards: Paying off consumer debt
4.5 Inflation, taxes, and stocks: Managing your money
CHAPTER 5 INTRODUCTION TO PROBABILITY
5.1 Calculating probabilities: How likely is it?
5.2 Medical testing and conditional probability: Ill or not?
5.3 Counting and theoretical probabilities: How many?
5.4 More ways of counting: Permuting and combining
5.5 Expected value and the law of large numbers: Don’t bet on it
CHAPTER 6 STATISTICS
6.1 Data summary and presentation: Boiling down the numbers
6.2 The normal distribution: Why the bell curve?
6.3 The statistics of polling: Can we believe the polls?
6.4 Statistical inference and clinical trials: Effective drugs?
CHAPTER 7 GRAPH THEORY
7.1 Modeling with graphs and Euler circuits: Finding efficient routes
7.2 Hamilton circuits and traveling salesmen: Efficient routes
7.3 Trees: Viral e-mails and spell checkers
CHAPTER 8 VOTING AND SOCIAL CHOICE
8.1 Measuring voting power: Does my vote count?
8.2 Voting systems: How do we choose a winner?
8.3 Fair division: What is a fair share?
8.4 Apportionment: Am I represented?
CHAPTER 9 GEOMETRY
9.1 Perimeter, area, and volume: How do I measure?
9.2 Proportionality and similarity: Changing the scale
9.3 Symmetries and tilings: Form and patterns
APPENDIX 1 Unit Conversion
APPENDIX 2 Exponents and Scientific Notation
APPENDIX 3 Calculators, Parentheses, and Rounding
APPENDIX 4 Basic Math
APPENDIX 5 Problem Solving