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.
Type D and Type F activities
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 magistrale in Mathematics - Enrollment from 2025/2026Le attività formative di tipologia D sono a scelta dello studente, quelle di tipologia F sono ulteriori conoscenze utili all’inserimento nel mondo del lavoro (tirocini, competenze trasversali, project works, ecc.). In base al Regolamento Didattico del Corso, alcune attività possono essere scelte e inserite autonomamente a libretto, altre devono essere approvate da apposita commissione per verificarne la coerenza con il piano di studio. Le attività formative di tipologia D o F possono essere ricoperte dalle seguenti attività.
1. Insegnamenti impartiti presso l'Università di Verona
Comprendono gli insegnamenti sotto riportati e/o nel Catalogo degli insegnamenti (che può essere filtrato anche per lingua di erogazione tramite la Ricerca avanzata).
Modalità di inserimento a libretto: se l'insegnamento è compreso tra quelli sottoelencati, lo studente può inserirlo autonomamente durante il periodo in cui il piano di studi è aperto; in caso contrario, lo studente deve fare richiesta alla Segreteria, inviando a carriere.scienze@ateneo.univr.it il modulo nel periodo indicato.
2. Attestato o equipollenza linguistica CLA
Oltre a quelle richieste dal piano di studi, per gli immatricolati dall'A.A. 2021/2022 vengono riconosciute:
- Lingua inglese: vengono riconosciuti 3 CFU per ogni livello di competenza superiore a quello richiesto dal corso di studio (se non già riconosciuto nel ciclo di studi precedente).
- Altre lingue e italiano per stranieri: vengono riconosciuti 3 CFU per ogni livello di competenza a partire da A2 (se non già riconosciuto nel ciclo di studi precedente).
Tali cfu saranno riconosciuti, fino ad un massimo di 6 cfu complessivi, di tipologia F se il piano didattico lo consente, oppure di tipologia D. Ulteriori crediti a scelta per conoscenze linguistiche potranno essere riconosciuti solo se coerenti con il progetto formativo dello studente e se adeguatamente motivati.
Gli immatricolati fino all'A.A. 2020/2021 devono consultare le informazioni che si trovano qui.
Modalità di inserimento a libretto: richiedere l’attestato o l'equipollenza al CLA e inviarlo alla Segreteria Studenti - Carriere per l’inserimento dell’esame in carriera, tramite mail: carriere.scienze@ateneo.univr.it
3. Competenze trasversali
Scopri i percorsi formativi promossi dal TALC - Teaching and learning center dell'Ateneo, destinati agli studenti regolarmente iscritti all'anno accademico di erogazione del corso https://talc.univr.it/it/competenze-trasversali
Modalità di inserimento a libretto: non è previsto l'inserimento dell'insegnamento nel piano di studi. Solo in seguito all'ottenimento dell'Open Badge verranno automaticamente convalidati i CFU a libretto. La registrazione dei CFU in carriera non è istantanea, ma ci saranno da attendere dei tempi tecnici.
4. Periodo di stage/tirocinio
Oltre ai CFU previsti dal piano di studi (verificare attentamente quanto indicato sul Regolamento Didattico): qui informazioni su come attivare lo stage.
Insegnamenti e altre attività che si possono inserire autonomamente a libretto
| years | Modules | TAF | Teacher | |
|---|---|---|---|---|
| 1° | Genetics | D |
Massimo Delledonne
(Coordinator)
|
|
| 1° 2° | Algorithms | D |
Roberto Segala
(Coordinator)
|
|
| years | Modules | TAF | Teacher |
|---|---|---|---|
| 1° 2° | Algorithms | D |
Roberto Segala
(Coordinator)
|
| 1° 2° | LaTeX Language | D |
Enrico Gregorio
(Coordinator)
|
| 1° 2° | Organization Studies | D |
Serena Cubico
(Coordinator)
|
| 1° 2° | History and Didactics of Geology | D |
Guido Gonzato
(Coordinator)
|
| years | Modules | TAF | Teacher | |
|---|---|---|---|---|
| 1° 2° | Advanced topics in financial engineering | F | Not yet assigned | |
| 1° 2° | ECMI modelling week | F | Not yet assigned | |
| 1° 2° | ESA Summer of code in space (SOCIS) | F | Not yet assigned | |
| 1° 2° | Google summer of code (GSOC) | F | Not yet assigned | |
| 1° 2° | Mathematics mini courses |
Sisto Baldo
(Coordinator)
|
||
| 1° 2° 3° | Python programming language | D |
Giulio Mazzi
(Coordinator)
|
|
Optimization (2021/2022)
Teaching code
4S001106
Teacher
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
Period
Primo semestre dal Oct 4, 2021 al Jan 28, 2022.
Learning outcomes
In this course we will provide an introduction to Convex Analysis in finite and infinite-dimensional spaces. We will show also some applications to problems of nonlinear optimizations and control theory arising from physics and economics. At the end of the course, the student should be able to: - understand the deep link between this and the previous courses (in particular, Functional Analysis); - use the main tools of convex analysis to solve convex optimization problems; - formalize and analyze simple control system coming from physical and economics models, in the framework of optimal control theory; - be autonomous in the use of the textbook suggested for the course.
Program
Table of contents
==============
- Review of weak topology on Banach spaces: convex sets, Minkowski functional, linear continuous operators, weak topology, separation of convex sets.
- Convex functions: general properties, lower semicontinuous convex functions, convex conjugate, subdifferential in the sense of Convex Analysis. Introduction to Calculus of Variations.
- Generalizations of convexity: differential calculus in Hilbert and Banach spaces, proximal and limiting subdifferential, the density theorem, sum rule, chain rule, generalized gradient in Banach space.
- Introduction to control theory: multifunctions and trajectories of differential inclusions, viability, equilibria, invariance, stabilization, reachability, Pontryagin Maximum Principle, necessary conditions for optimality.
- Application to optimization problems arising from physical or economic models.
The course amounts to 6 ECTS for a total of 48 hours, which will be held as in-class lectures. Part of the course will consist of exercises.
During the course some cases of study will be assigned to groups of 4-5 student for the discussion discussion.
**************************************
WARNING: DUE TO SANITARY EMERGENCY, ALL THE LECTURES WILL BE RECORDED AND WILL BE AVAILABLE IN THE MOODLE PAGE OF THE COURSE. SOME LECTURES WILL BE HELD IN CLASS (CHECK THE SCHEDULE AND THE GOVERNANCE REGULATIONS FOR FURTHER DETAILS).
Bibliography
Examination Methods
WARNING: THE ASSESSMENT PROCEDURES ARE SUBJECTED TO CHANGES FOLLOWING THE EVOLUTION OF THE COVID-19 EPIDEMY.
Assessment Procedure
===================
The exam is divided into a written and an oral test, the two tests must be passed in the same exam session. There are no difference between the assessment of attending or non-attending students.
There will be also two partial test, one at the mid of the semester (indicatively, end of November), and the other one at the end of the semester. The first part will concern the first part of the program (until the introduction to the Calculus of Variations included), and the second on the remaining part of the program. The students who will pass both the partial tests, can directly access to the oral part in the exam session of February.
After the oral part, the teacher will propose the final mark (on the Italian ranking system from 18 to 30).
Structure of the tests
==================
The written test is concerns three exercise, and each of them will have the same contribute to the final mark. The first two exercises (one on the first part and the other on the second part of the program) will require the solution of specific problems. The third will be composed of questions on the whole of the program or on the material given to the students, asking for short open answers.
Each of the partial test will concern the relative part of the program, and will be made of three exercise. The first two will require the solution of specific problems, and the third one will be composed of questions on the relative part of the program or on the material given to the students, asking for short open answers. It will be mandatory for the student to solve the third exercise and choose one between the first and the second.
The oral part will test the whole of the program of the course.
Targets of the assessment procedure
===============================
- Knowledge and understanding: a part of the written and the oral tests will be devoted to verify the effective knowledge and understanding of the course's contents (mainly, the third exercise of the written test and the oral test).
- Applying knowledge and understanding: both during the written and the oral tests, the student will be required to solve problems based on the course's contents.
- Making judgements: during the tests, the student can be asked to solve problems requiring a contribution basing on the material of the course assigned for personal study.
- Communication skills: during the written and the oral tests, the solutions expressed in a clear, complete and short way will be preferred.
- Learning skills: part of the course's contents will be based on textbook or scientific articles left to the students for personal study.
