Probability Theory with Applications

The course introduces probability theory, including probability spaces, random variables, conditional probability and independence, limit theorems, and Markov chains, with an introduction to Brownian motion. The course will provide students with a solid theoretical foundation for probability theory, as well as describing some practical applications of probability in information theory and option pricing. The course will provide a sound foundation to progress to MATH3015 (Stochastic Analysis with Financial Applications), as well as other honours and post-graduate courses emphasizing the theory of mathematical finance and stochastic analysis. Note: This is an HPC.