Quantitative Reasoning courses are intended for first-year and sophomore students. Approved substitute courses are available for other students still needing to satisfy the Quantitative Reasoning component of the MAP.

**FALL 2009 V55.0101 Quantitative Reasoning: Math Patterns in Nature**

Prof. Hanhart (Mathematics) syllabus

This course examines the role of mathematics as the language of science through case studies selected from the natural sciences and economics. Topics include the scale of things in the natural world; the art of making estimates; cross-cultural views of knowledge about the natural world; growth laws, including the growth of money and the concept of "constant dollars"; radioactivity and its role in unraveling the history of the earth and solar system; the notion of randomness and basic ideas from statistics; scaling laws and why things are the size they are; the cosmic distance ladder; and the meaning of "infinity." This calculator-based course is designed to help you use mathematics with some confidence in applications.

**FALL 2009 V55.0105 Quantitative Reasoning: Elementary Statistics**

Prof. Hanhart (Mathematics) syllabus

The purpose of the course is to understand and use statistical methods.

Actual survey and experimental data are analyzed. Topics include the description of data, elementary probability, random sampling, mean, variance, standard deviation, statistical tests, and estimation.

**FALL 2009 V55.0107 Quantitative Reasoning: Probability, Statistics & Decision-Making**

Prof. Hoppensteadt (Mathematics)

This course examines the role in mathematics in making ``correct'' decisions. Special attention is devoted to quantifying the notions of ``correct,'' ``fair,'' and ``best'' and using these ideas to establish optimal decisions and algorithms to problems of incomplete information and uncertain outcomes. The mathematical tools used include topics in statistics, probability, and game theory.

**FALL 2009 V55.0109 Quantitative Reasoning: Math & Computations Using Python**

Prof. Marateck (Computer Science)

This course teaches key mathematical concepts using the new Python programming language. The first part of the course teaches students how to use the basic features of Python: operations with numbers and strings, variables, Boolean logic, control structures, loops and functions. The second part of the course focuses on the phenomena of growth and decay: geometric progressions, compound interest, exponentials and logarithms. The third part of the course introduces three key mathematical concepts: trigonometry, counting problems and probability. Students use Python to explore the mathematical concepts in labs and homework assignments. No prior knowledge of programming is required.

**SPRING 2010 V55.0101 Quantitative Reasoning: Math Patterns in Nature**

Prof. Hanhart (Mathematics) syllabus

This course examines the role of mathematics as the language of science through case studies selected from the natural sciences and economics. Topics include the scale of things in the natural world; the art of making estimates; cross-cultural views of knowledge about the natural world; growth laws, including the growth of money and the concept of "constant dollars"; radioactivity and its role in unraveling the history of the earth and solar system; the notion of randomness and basic ideas from statistics; scaling laws and why things are the size they are; the cosmic distance ladder; and the meaning of "infinity." This calculator-based course is designed to help you use mathematics with some confidence in applications.

**SPRING 2010 V55.0107 Quantitative Reasoning: Probability, Statistics & Decision-Making
**Prof. Hanhart (Mathematics) syllabus

This course examines the role in mathematics in making ``correct''

decisions. Special attention is devoted to quantifying the notions of ``correct,'' ``fair,'' and ``best'' and using these ideas to establish optimal decisions and algorithms to problems of incomplete information

and uncertain outcomes. The mathematical tools used include topics in

statistics, probability, and game theory.

**SPRING 2010 V55.0108 Quantitative Reasoning: Games of Chance
**Prof. Hanhart (Mathematics) syllabus

Elementary probability theory from the point of view of its historical

origin: games and gambling. Topics include probability, expectation, introduction to game theory, gambler's ruin, gambling systems, and optimal strategies. Examples are taken from popular games of chance, including backgammon, blackjack, craps, and poker.