Discrete Probability

This introductory-level course teaches students the basic concepts of probability and statistics, and the logic of probabilistic reasoning. The course is designed for students with no prior knowledge in probability or statistics, its only prerequisite is basic algebra. We will discuss axioms of probability, random variables, useful distributions, law of large numbers and central limit theorem, confidence intervals, discrete-time Markov chains, Brownian motion, introduction to inference and hypothesis testing.