The required background is a first course in probability. Some familiarity with basic notions of analysis is expected, knowledge in measure theory is an advantage.
The course will discuss basic elements of probability theory: probability spaces, convergence of random variables, laws of large numbers, central limit theorem, Brownian motion. The required background is a first course in probability. Some familiarity with basic notions of analysis is expected, knowledge in measure theory is an advantage.
Upon successful completion of the course, the students will be familiar with basic notions in probability theory.