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Discovering Mathematics
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Table of Contents

MODULE 1: VALIDITY STUDIES. 1. An Introduction to Problem Solving. Inductive and Deductive Reasoning. Estimation of Graphs. Problem-Solving Strategies. Fair Division. 2. Sets and Logic. Sets, Set Operations, and Applications. Categorical Logic. Prepositional Logic. 3. Measurement, Proportions, and Variation. Ratio and Rates. Measurement. Proportions. Percent. Variation. MODULE 2: FINANCIAL LITERACY. 4. Financial Models. Simple Interest. Compound Interest. Future and Present Value of an Annuity. Credit Cards. Student Loans. Financial Considerations of Car Ownership. Home Ownership. Stocks, Bonds, and Mutual Funds. MODULE 3: MODELING. 5. Linear Functions as Models. Rectangular Coordinates and Functions. Properties of Linear Functions. Finding Linear Models. Linear Regression. 6. Nonlinear Functions as Models. Exponential Models. Logarithmic Functions. Quadratic Functions. APPENDICES (*AVAILABLE ONLINE). Integers and Rational Expressions*. Variable Expressions*. Solving First-Degree Equations in One Variable*. Basics of Rectangular Coordinates and Graphs*. Selected Answers. ADDITIONAL CHAPTERS (AVAILABLE UPON REQUEST). 7. Introduction to Probability. 8. Introduction to Statistics. 9. Voting and Apportionment. 10. Circuits and Networks.

About the Author

Richard Aufmann is the lead author of two best-selling Developmental Math series and a best-selling College Algebra and Trigonometry series, as well as several derivative math texts. He received a Bachelor of Arts in Mathematics from the University of California, Irvine, and a Master of Arts degree in Mathematics from California State University, Long Beach. Mr. Aufmann taught Math, Computer Science, and Physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.

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