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

A.A. 2024/2025 A.A. 2023/2024 A.A. 2022/2023 A.A. 2021/2022 A.A. 2020/2021 A.A. 2019/2020 A.A. 2018/2019 A.A. 2017/2018 A.A. 2016/2017 A.A. 2015/2016 A.A. 2014/2015 A.A. 2013/2014 A.A. 2012/2013 A.A. 2011/2012 A.A. 2010/2011 A.A. 2009/2010

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:

1° Year 

ModulesCreditsTAFSSD
12
A
MAT/02 ,MAT/03
12
A
MAT/05
6
B
MAT/08
12
A
FIS/01
6
B
MAT/01
12
A
INF/01

2° Year   activated in the A.Y. 2019/2020

ModulesCreditsTAFSSD
6
A
MAT/02
12
B
MAT/05
6
B
MAT/08
6
B
MAT/03
6
C
SECS-P/01
6
C
SECS-P/01
6
B
MAT/06
6
B
MAT/05
English B1
6
E
-

3° Year   activated in the A.Y. 2020/2021

ModulesCreditsTAFSSD
6
C
SECS-P/05
12
C
SECS-S/06
6
B
MAT/08
6
B
MAT/09
6
B
MAT/06
Final exam
6
E
-
activated in the A.Y. 2019/2020
ModulesCreditsTAFSSD
6
A
MAT/02
12
B
MAT/05
6
B
MAT/08
6
B
MAT/03
6
C
SECS-P/01
6
C
SECS-P/01
6
B
MAT/06
6
B
MAT/05
English B1
6
E
-
activated in the A.Y. 2020/2021
ModulesCreditsTAFSSD
6
C
SECS-P/05
12
C
SECS-S/06
6
B
MAT/08
6
B
MAT/09
6
B
MAT/06
Final exam
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
12
D
-
Between the years: 1°- 2°- 3°
Other activities
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.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Probability  (2019/2020)

Teaching code

4S02753

Teacher

Paolo Dai Pra

Coordinator

Paolo Dai Pra

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/06 - PROBABILITY AND STATISTICS

Period

II semestre dal Mar 2, 2020 al Jun 12, 2020.

Lessons timetable MoodleMoodle Seminars 0

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.

Program

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.


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

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.

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