Catalog Description: Permutations, combinations, principle of inclusion and exclusion, generating functions, Ramsey theory. Expectation and variance, Chebychev's inequality, Chernov bounds. Birthday paradox, coupon collector's problem, Markov chains and entropy computations, universal hashing, random number generation, random graphs and probabilistic existence bounds.

Units: 4

Related Areas:

• Security (SEC)
• Theory (THY)

Prerequisites: COMPSCI 170

Formats:
Fall: 3.0 hours of lecture and 1.0 hours of discussion per week
Spring: 3.0 hours of lecture and 1.0 hours of discussion per week

Grading Basis: letter

Final Exam Status: Written final exam conducted during the scheduled final exam period

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Class Schedule (Spring 2025):
CS 174 – TuTh 09:30-10:59, Soda 310 – Alistair J Sinclair

Class homepage on inst.eecs

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