But du cours
Consolidate essential probability knowledge required to solve problems modeled by random experiments, frequently encountered in computer science.
Acquis d'apprentissage visés
- Select cryptographic tools suited to a project specification
- Design, from conception to production deployment, a company’s IT network while addressing QoS and security issues
- Perform exploratory data analysis
Prérequis
Probability learned in high school followed by CPGE/L1-L3/IUT/BTS
Programme
- Probability space: sample space, sigma-algebra, probability measure
- Conditional probability
- Discrete and continuous random variables: common distributions, expectation, variance
- Convergence of sequences of random vectors: law of large numbers, central limit theorem
- Estimation (point estimation, confidence intervals), hypothesis testing
Modalités d'évaluation
Continuous assessment: two written evaluations.
Bibliographie
J.P. Ramis and A. Warusfel (edited by) - Mathématiques : tout-en-un pour la Licence, Niveau L2 - Éditions Dunod
Supports
Slides and guided exercise handouts.