This will be an introductory course on Probability Theory, with an emphasis on discrete probability. We will cover the basic formalisms of probability, discrete and continuous distributions, combinatorial methods, generating functions, conditioning, Law of Large Numbers and Central Limit Theorem. We will also talk about branching processes of time permits.
David F. Anderson, Timo Seppa ̈la ̈inen, Benedek Valko, Introduction to Probability Cambridge University Press, 2018
Jean Jacod, Philip Protter Probability Essentials Springer