Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea in Matematica applicata - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
Modules | Credits | TAF | SSD |
---|
2° Year activated in the A.Y. 2017/2018
Modules | Credits | TAF | SSD |
---|
3° Year activated in the A.Y. 2018/2019
Modules | Credits | TAF | SSD |
---|
Modules | Credits | TAF | SSD |
---|
Modules | Credits | TAF | SSD |
---|
Modules | Credits | TAF | SSD |
---|
Modules | Credits | TAF | SSD |
---|
Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Probability (2017/2018)
Teaching code
4S02753
Teacher
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/06 - PROBABILITY AND STATISTICS
Period
II sem. dal Mar 1, 2018 al Jun 15, 2018.
Learning outcomes
The course introduces basic concepts of probability theory, with particular emphasis on its formal description starting from its axiomatization due to A. Kolmogorov.
The course aims to provide the notions needed in order to understand and apply in complete autonomy the theory that lies behind probability in various problems of both physics and daily life.
No special notions will be required, the student must have learned the mathematical methodology on which the first year of the bachelor degree is based.
Program
1) Probability spaces: introduction to different notions of probability, probability axiomatization, recalls of measure theory, sample space and events, first consequences of the axioms of probability, conditional probability, Bayes theorem and total probability theorem, independence of events;
2) Discrete random variables: definition and motivation of the notion of random variable, discrete random variables, mean and variance of random variables and functions of random variable, notable random variables and their properties: Bernoulli, binomial, Poisson, geometric and hypergeometric, joint laws and covariance;
3) Continuous random variables: definition of (absolutely) continuous random variables, mean, variance and moments of continuous random variable, notable random variables and their properties: uniform, normal, exponential, Gamma, Beta, Cauchy and Maxwell-Boltzmann , joint density function, conditional expectation and multivariate Gaussian laws;
4) Convergence and approximation: Markov and Chebyshev's inequality, law (weak and strong) of large numbers, convergence in law and probability, central limit theorem.
Author | Title | Publishing house | Year | ISBN | Notes |
---|---|---|---|---|---|
P. Baldi | Calcolo delle Probabilità | McGraw Hill | 2007 | 9788838663659 |
Examination Methods
The final exam consists of a written exam followed, in case the written exam is passed, by an oral examination .