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

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. 2020/2021

ModulesCreditsTAFSSD
6
B
MAT/03
6
A
MAT/02
6
C
SECS-P/01
6
C
SECS-P/01
English B1
6
E
-

3° Year   activated in the A.Y. 2021/2022

ModulesCreditsTAFSSD
6
C
SECS-P/05
Final exam
6
E
-
activated in the A.Y. 2020/2021
ModulesCreditsTAFSSD
6
B
MAT/03
6
A
MAT/02
6
C
SECS-P/01
6
C
SECS-P/01
English B1
6
E
-
activated in the A.Y. 2021/2022
ModulesCreditsTAFSSD
6
C
SECS-P/05
Final exam
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
Between the years: 1°- 2°- 3°
Other activitites
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

4S02843

Credits

9

Coordinator

Paolo Dai Pra

Language

Italian

Also offered in courses:

  • Probability of the course Bachelor's degree in Applied Mathematics

The teaching is organized as follows:

PROBABILITA'

Credits

6

Period

II semestre

Academic staff

Paolo Dai Pra

ELEMENTI DI STATISTICA

Credits

3

Period

II semestre

Academic staff

Paolo Dai Pra

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 emphasis will be placed on the formal derivation of the modern Probability Theory starting from the axiomatization of A.N. Kolmogorov. The course aims to provide rigorous probabilistic training which allows the student to master the techniques mathematics at the base of the modern theory of probabilities, and their application in computational-modeling and economic-financial fields. With the same spirit based on mathematical rigor, elements of Descriptive Statistics and Analysis of historical series will also be introduced.

Program

The entire course will be available online. In addition, a number of the lessons/all the lessons (see the course
schedule) will be held in-class.

Discrete probability spaces. Elements of combinatorial calculus. Conditional probability and independence.
Applications: random permutations, percolation.
Discrete random variables and distributions. Independence of random variables. Expectation and inequalities. Notable classes of discrete random variables.
Applications: the law of small numbers, the binomial model in finance, the collector's problem.
Probability spaces and general random variables.
Absolutely continuous random variables. Notable classes of absolutely continuous random variables. Absolutely continuous random vectors. The Poisson process. Normal laws.
The law of large numbers. The central limit theorem and normal approximation.
Elements of stochastic simulation.
Basic notions of inferential statistics: unbiased and efficient estimators. Normal samples. Maximum likelihood estimators.


Textbook: F. Caravenna, P. Dai Pra, Probabilità. Un'introduzione attraverso modelli e applicazioni - UNITEXT - La matematica per il 3+2. Springer-Verlag, 2013.

Bibliography

Reference texts
Author Title Publishing house Year ISBN Notes
Francesca Caravenna, Paolo Dai Pra Probabiltà - Un primo corso attraverso modelli e applicazioni (Edizione 1) Springer-Verlag 2013

Examination Methods

Written exam, with exercises and theoretical questions.

The assessment methods could change according to the academic rules

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