This class is intended to review some basic definitions and results in Probability, which can be useful to understand some applications of Probability in social sciences, engineering and physics, such as statistics or random process (e.g. Brownian motions) among others. The aim of the course is to give a fast account of the elementary mathematical theory of probability for a general audience, on the basis of the book "Probability, An Introduction", by G Gimmett and D Welsh. If time allows we could discuss some relevant examples and exercises. The class is divided into two parts:
A fast introduction to Probability II
In the second part, we will discuss moments, Chebyshev's inequality and some limit theorems (especially the central limit theorem).