MATH 451

Probability

Units: 1.5

Hours: 3-0

Language of formal probability, laws of large numbers and applications (Weierstrass approximation), central limit theorem, Borel-Cantelli laws, large deviations estimates, Chernoff bounds, number-theoretic applications, coupling of random variables, the probabilistic method (first and second moment methods), combinatorial applications. Additional topics may include: Martingales in discrete probability and applications.

Prerequisites:

Undergraduate course in Mathematics offered by the Department of Mathematics and Statistics in the Faculty of Science.

Schedules:
Fall 2017 Spring 2018 Summer 2018

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