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MAT 134 Mathematics of Uncertainty: Counting Rules and Probability (3 credits)

This course provides students with an in-depth introduction to probability and its many real-life applications. Students will study counting techniques including permutations, combinations, binomial coefficients, occupancy problems and runs within random orderings and will prove combinatorial identities. Students will study topics in probability including sample spaces, DeMorgan’s Laws, conditional probability, independent events, Bayes Theorem, random variables and expected value. Students will examine many of the classical problems in probability theory including Prisoner’s Dilema, Gambler’s Ruin and the Birthday Problem as well as lotteries, card games and random walks.

Course fulfills the GEP and GER Mathematics Requirement.