The Probability course enables students to develop an understanding of the probability theory. It is designed to equip students with the necessary skills to effectively calculate probabilities. Throughout this course, students will be introduced to various aspects of probability, beginning with combinatorics. They will learn techniques such as combinations, permutations and arrangements. Furthermore, they will explore concepts that enhance the understanding and manipulation of probabilities on a countable set. This includes the monotone convergence theorem, Boole's inequality, conditioning, compound probabilities, total probabilities and Bayes' formula. Additionally, the course will emphasize the study of discrete random variables, enabling students to model and analyze random phenomena by using probability distributions. Finally, Students explore continuous random variables, with a focus on an extensive examination of cumulative distribution functions, expectation and variance.

Temps présentiel : 30 heures

Charge de travail étudiant : 70 heures

Méthode(s) d'évaluation : Examen final, Examen partiel, Participation et assiduité, Travaux pratiques contrôlés