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Course Criteria
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4.00 Credits
See course description under Middle Eastern and Islamic Studies.
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4.00 Credits
See course description under Middle Eastern and Islamic Studies.
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4.00 Credits
Offered every semester.
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4.00 Credits
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-why things are the size they are; the cosmic distance ladder; and the meaning of "infinity." Calculator-based and designed to help you use mathematics with some confidence in applications.
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4.00 Credits
Understanding and use of statistical methods. Mathematical theory is minimized. Actual survey and experimental data are analyzed. Computations are done with desk or pocket calculators. Topics: description of data, elementary probability, random sampling, mean, variance, standard deviation, statistical tests, and estimation.
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4.00 Credits
Elementary probability theory from the point of view of games and gambling. Topics include probability, expectation, introduction to game theory, gambler's ruin, gambling systems, and optimal strategies. Examples are taken from games of chance, including backgammon, blackjack, craps, and poker.
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4.00 Credits
Teaches mathematical concepts using the Python programming language. Introduces students to use the basic features of Python operations with numbers and strings, variables, Boolean logic, control structures, loops, and functions. These operations are then applied to the mathematical principles of growth and decay, geometric progressions, compound interest, exponentials, permutations, and probability.
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4.00 Credits
A variety of topics chosen from the following broad categories. A survey of pure mathematics: What do mathematicians do and what questions inspire them? Great works: What are some of the historically big ideas in the field? Who were the mathematicians that came up with them? Mathematics as a reflection of the world we live in: How does our understanding of the natural world affect mathematics (and vice versa). Computations, proof, and mathematical reasoning: Quantitative skills are crucial for dealing with the sheer amount of information available in modern society. Mathematics as a liberal art: Historically, some of the greatest mathematicians have also been poets, artists, and philosophers. How is mathematics a natural result of humanity's interest in the nature of truth, beauty, and understanding? Natural Science I Note that the prerequisite for all Natural Science I courses is completion of (or exemption from) Quantitative Reasoning (MAP-UA 1XX).
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4.00 Credits
Uses the principles of chemistry to analyze the environmental implications of energy usage and policy decisions concerning energy and the environment. Topics include the composition of the atmosphere, the ozone layer and its depletion, global warming and public policy, and acid rain. Finally, the basis of our need for energy, fossil fuels and their supplies, and the available alternatives are discussed.
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4.00 Credits
Addresses the science and life of Einstein in the context of 20th-century physics, beginning with 19th-century ideas about light, space, and time to understand why Einstein's work was so innovative. Einstein's most influential ideas are contained in his theories of special relativity, which reformulated conceptions of space and time, and general relativity, which extended these ideas to gravitation. Both these theories are quantitatively explored, together with wide-ranging applications of these ideas, from the nuclear energy that powers the sun to black holes and the big bang theory of the birth of the universe.
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