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Institution:
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University of Chicago
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Subject:
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Description:
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PQ: CMSC 15300, or placement into MATH 15100 or equivalent. This is a directed course in mathematical topics and techniques that is a prerequisite for courses such as CMSC 2720 and 27400. We emphasize mathematical discovery and rigorous proof, which are illustrated on a refreshing variety of accessible and useful topics. Basic counting is a recurring theme and provides the most important source for sequences, which is another recurring theme. Further topics include proof by induction; recurrences and Fibonacci numbers; graph theory and trees; number theory, congruences, and Fermat's little theorem; counting, factorials, and binomial coefficients; combinatorial probability; random variables, expected value, and variance; and limits of sequences, asymtotic equality, and rates of growth. Autumn.
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Credits:
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3.00
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Credit Hours:
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Prerequisites:
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Corequisites:
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Exclusions:
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Level:
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Instructional Type:
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Lecture
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Notes:
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Additional Information:
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Historical Version(s):
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Institution Website:
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Phone Number:
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(773) 702-1234
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Regional Accreditation:
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North Central Association of Colleges and Schools
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Calendar System:
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Quarter
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