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.

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 2025/2026

The 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.

CURRICULUM TIPO:

2° Year   activated in the A.Y. 2017/2018

ModulesCreditsTAFSSD
6
A
MAT/02
6
B
MAT/03
6
C
SECS-P/01
6
C
SECS-P/01
6
B
MAT/06

3° Year   activated in the A.Y. 2018/2019

ModulesCreditsTAFSSD
6
C
SECS-P/05
activated in the A.Y. 2017/2018
ModulesCreditsTAFSSD
6
A
MAT/02
6
B
MAT/03
6
C
SECS-P/01
6
C
SECS-P/01
6
B
MAT/06
activated in the A.Y. 2018/2019
ModulesCreditsTAFSSD
6
C
SECS-P/05
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
Between the years: 1°- 2°- 3°
Altre attività formative
6
F
-

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.




S Placements in companies, public or private institutions and professional associations

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.

Reference texts
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 .

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE