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. 2022/2023

ModulesCreditsTAFSSD
6
A
MAT/02
6
B
MAT/03
6
C
SECS-P/01
6
C
SECS-P/01
6
E
L-LIN/12

3° Year   activated in the A.Y. 2023/2024

ModulesCreditsTAFSSD
6
C
SECS-P/05
Final exam
6
E
-
activated in the A.Y. 2022/2023
ModulesCreditsTAFSSD
6
A
MAT/02
6
B
MAT/03
6
C
SECS-P/01
6
C
SECS-P/01
6
E
L-LIN/12
activated in the A.Y. 2023/2024
ModulesCreditsTAFSSD
6
C
SECS-P/05
Final exam
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
Further activities
6
F
-
Between the years: 1°- 2°- 3°

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

6

Also offered in courses:

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

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/06 - PROBABILITY AND STATISTICS

Period

Semester 2 dal Mar 6, 2023 al Jun 16, 2023.

To show the organization of the course that includes this module, follow this link:  Course organization

Program

1. Discrete probability spaces. Elements of combinatorial calculus. Conditional probability and independence.
Applications: random permutations, percolation.
2. 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 coupon collector's problem.
3. 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.
4. The law of large numbers. The central limit theorem and the normal approximation.
5. Elements of stochastic simulation.

Bibliography

Visualizza la bibliografia con Leganto, strumento che il Sistema Bibliotecario mette a disposizione per recuperare i testi in programma d'esame in modo semplice e innovativo.

Didactic methods

All the topics will be illustrated in class. Additional material, as exercises, lecture notes and further references, will be available on Moodle page of the course.
The rights of students will be preserved in situations of travel limitation or confinement due to national provisions to combat COVID or in particular situations of fragile health. In these cases, you are invited to contact the teacher directly to organize the most appropriate remedial strategies.

Learning assessment procedures

The exam consists of a 180-minute written test. It includes exercises and theoretical questions, with at least one proof of those marked in the course program required.

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

Evaluation criteria

To pass the exam, the student must demonstrate:
-- to have understood the theoretical notions, showing detailed knowledge of definitions and statements, as well as of some proofs;
-- to be able to apply theory to problem-solving.

Exam language

Italiano