This course will provide an introduction to probability theory, including the classical limit theorems of probability & statistics. It will cover fundamental theory, models and methods in probability whilst providing a solid mathematical foundation for research or advanced work in probability, statistical theory, statistical physics, or stochastic modelling in business, finance, economics, mathematical biology, computer science and engineering. Students taking this course may also take related courses such as STATS 320 and 325. This course will also provide good preparation for more advanced courses in probability such as STATS720 or 723.