CMSC 27400 - Honors Combinatorics and Probability

Institution:

University of Chicago

Subject:

Description:

PQ: MATH 25000 or 25400, or CMSC 27100, or consent of instructor. Experience with mathematical proofs. Methods of enumeration, construction, and proof of existence of discrete structures are discussed in conjunction with the basic concepts of probability theory over a finite sample space. Enumeration techniques are applied to the calculation of probabilities, and, conversely, probabilistic arguments are used in the analysis of combinatorial structures. Other topics include basic counting, linear recurrences, generating functions, Latin squares, finite projective planes, graph theory, Ramsey theory, coloring graphs and set systems, random variables, independence, expected value, standard deviation, and Chebyshev's and Chernoff' s inequalities . L. Babai. Spring.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

WWW.UCHICAGO.EDU

Phone Number:

(773) 702-1234

Regional Accreditation:

North Central Association of Colleges and Schools

Calendar System:

Quarter

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