Development of mathematical reasoning skills for problems that
involve uncertainty. Each concept will be illustrated by real-world
examples and demonstrated through in-class and homework exercises.
Counting and probability -- basic counting problems, probability
definitions, mean, variance, binomial distribution, discrete random
variables, continuous random variables, Markov and Chebyshev bounds,
Laws of large number, and central limit theorem. Probabilistic reasoning
-- conditional probability and odds, Bayes' Law, Markov Chains, Bayesian
Network, Markov Decision Processes.
Prerequisites: COMPSCI 187 (or E&C-ENG 242) and MATH 132 or consent of instructor. 4 credits.