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 educational activities of type D are the student's choice, those of type F are additional knowledge useful for entering the world of work (internships, transversal skills, project works, etc.). According to the Didactic Regulations of the Course, some activities can be chosen and entered independently in the booklet, others must be approved by a special committee to verify their consistency with the study plan.

The following activities can cover type D or F training activities.

1. Teachings delivered at the University of Verona.

Include the teachings listed below and/or in the Catalog of Teachings (which can also be filtered by language of delivery through Advanced Search).

Booklet entry mode: if the teaching is included among those listed below, the student can enter it independently during the period in which the curriculum is open; otherwise, the student must make a request to the Secretariat, sending to carriere.scienze@ateneo.univr.it the form in the period indicated.

2. CLA certificate or language equivalency.

In addition to those required by the curriculum, the following are recognized for those matriculated from A.Y. 2021/2022:

English language: 3 CFU are recognized for each level of proficiency above that required by the course of study (if not already recognized in the previous course of study).

Other languages and Italian for foreigners: 3 cfu are recognized for each proficiency level starting from A2 (if not already recognized in the previous study cycle).

These cfu will be recognized, up to a maximum of 6 cfu in total, of type F if the teaching plan allows it, or of type D. Additional elective credits for language knowledge may be recognized only if consistent with the student's educational project and if adequately motivated. Those enrolled until A.Y. 2020/2021 should consult the information found here.

Way of inclusion in the booklet: request the certificate or equivalence from CLA and send it to the Student Secretariat - Careers for the inclusion of the exam in the career, by email: carriere.scienze@ateneo.univr.it

3. Soft skills

Discover the training paths promoted by the University's TALC - Teaching and learning center, intended for students regularly enrolled in the academic year of course delivery https://talc.univr.it/it/competenze-trasversali Booklet entry mode: the teaching is not expected to be included in the curriculum. Only upon obtaining theOpen Badge will the booklet CFUs be automatically validated. The registration of CFUs in career is not instantaneous, but there will be some technical time to wait.

4. Contamination lab

The Contamination Lab Verona (CLab Verona) is an experiential pathway with modules dedicated to innovation and business culture that offers the opportunity to work in teams with students from all courses of study to solve challenges launched by companies and institutions. The pathway allows students to receive 6 CFUs in the D or F area. Find out about the challenges: https://www.univr.it/clabverona

PLEASE NOTE: To be eligible to take any teaching activity, including electives, you must be enrolled in the course year in which it is offered. Therefore, it is recommended that undergraduates in the December and April sessions DO NOT undertake extracurricular activities of the new academic year, in which they are not enrolled, since these degree sessions are valid concerning the previous academic year. Therefore, for activities carried out in an academic year in which they are not enrolled, no recognition of CFU can be given.

5. Internship/internship period

In addition to the CFU stipulated in the curriculum (check carefully what is indicated on the Academic Regulations) here you can find information on how to activate the internship. Check in the regulations which activities can be Type D and which can be Type F.

Please also note that for internships activated from October 1, 2024, it will be possible to recognize excess hours in terms of Type D credits, limited only to internship experiences carried out at host institutions outside the University.

PROCEDURE FOR RECOGNIZING WORK ACTIVITY AS INTERNSHIP CREDITS

As per the resolution of the Teaching College of Mathematics and Data Science No. 4 -24/25, the student who intends to have hours of work activity recognized as internship credits, before the start of the activity, is required to send to the e-mail address of the student secretariat and in copy knowledge to the student practices committee (paolo.daipra@univr.it, luca.dipersio@univr.it, barbara.gaudenzi@univr.it) explicit request.

The request should specify the type of activity, name of the company and place of work, and hours/credits for which recognition is being sought. The activity must have taken place during the years of enrollment in the course of study to be recognizable. Once the student practices committee has ascertained that the current work activity is consistent with the course objectives, the student will be promptly notified, with the secretary's office as a copy.

At the end of the stipulated work period, the student sends the following documentation to the student secretariat: a detailed final report that is forwarded to the committee for final approval (signed by the student and a company contact person); a statement from the legal representative of the company/entity and/or documentation demonstrating the type of professional activity and the hourly commitment to it.

The student secretary's office will forward the documentation received to the student practices committee and record the CFUs (taf F and any additional taf D credits) decided by the committee.

Academic year:
Semester 1  From 10/1/24 To 1/31/25
years Modules TAF Teacher
1° 2° 3° Algorithms D Roberto Segala (Coordinator)
1° 2° 3° Basis of general chemistry D Silvia Ruggieri
1° 2° 3° Genetics D Massimo Delledonne (Coordinator)
1° 2° 3° Introduction to quantum mechanics for quantum computing D Claudia Daffara (Coordinator)
1° 2° 3° Python programming language [English edition] D Carlo Combi (Coordinator)
1° 2° 3° APP REACT PLANNING D Graziano Pravadelli (Coordinator)
Semester 2 From 3/3/25 To 6/13/25
years Modules TAF Teacher
1° 2° 3° Algebraic Geometry F Rosanna Davison Laking (Coordinator)
1° 2° 3° Algorithms D Roberto Segala (Coordinator)
1° 2° 3° LaTeX Language D Enrico Gregorio (Coordinator)
1° 2° 3° Python programming language [Edizione in italiano] D Carlo Combi (Coordinator)
1° 2° 3° Organization Studies D Serena Cubico (Coordinator)
1° 2° 3° Programming Challanges D Romeo Rizzi (Coordinator)
1° 2° 3° Tools for development of applications of virtual reality and mixed D Andrea Giachetti (Coordinator)
1° 2° 3° Protection of intangible assets (SW and invention)between industrial law and copyright D Mila Dalla Preda (Coordinator)
List of courses with unassigned period
years Modules TAF Teacher
Subject requirements: mathematics D Franco Zivcovich (Coordinator)

Teaching code

4S00254

Coordinator

Paolo Dai Pra

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/06 - PROBABILITY AND STATISTICS

Period

Semester 1  dal Oct 1, 2024 al Jan 31, 2025.

Courses Single

Authorized

Learning objectives

The aim of the course is to present some classes of probabilistic models of particular relevance in applications, in particular dynamic models. The emphasis is placed, in addition to mathematical rigor, on developing the ability to grasp the essential aspects of a real phenomenon and translate them into a model whose analysis, analytical or numerical, is accessible.The main topic of the course is the theory of Markov chains, both in discrete and continuous time. Each development of the theory is accompanied by the presentation of examples of applicative interest, motivated by economics, physical and biological sciences, but also by computational problems that emerge in the search for efficient algorithms. In the final part of the course the notions of conditional expectation and martingale will be introduced.At the end of the course, the student will have the tools to use a wide range of probabilistic models in both theoretical and applicative contexts, understanding their limits and effective applicability, also from a computational point of view. He will also be able to have a unifying and abstract vision of classes of problems with similar characteristics, and to face the reading of advanced texts.

Prerequisites and basic notions

Basics in Probability

Program

1. Conditional expectation and conditional distribution. Martingale. Stopping theorem and convergence theorem.
2. Discrete-time Markov chains. Markov property and transition probabilities. Irreducibility, aperiodicity. Stationary distributions. Reversible distributions.
3. Hitting times. One step analysis. Convergence to the stationary distribution. Law of large numbers for Markov chains. Markov Chain Monte Carlo methods: Metropolis algorithm and Gibbs sampler.
4. Reducible Markov chains. Transient and recurrent states. Absorption probabilities.
5. Continuous-time Markov chains. The Poisson process and its properties. Continuous-time Markov property. Semigroup associated with a Markov chain: continuity and differentiability; generator. Kolmogorov equations. Stationary distributions. Dynkin's formula. Probabilistic construction of a continuous-time Markov chain.

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 the Moodle page of the course.
The rights of students will be preserved in situations of travel limitation or confinement due to national provisions 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.

Criteria for the composition of the final grade

The final grade is entirely based on the outcome of the written test

Exam language

Italiano

Sustainable Development Goals - SDGs

This initiative contributes to the achievement of the Sustainable Development Goals of the UN Agenda 2030. More information on sustainability