The programme

Here you can find an overview of the degree programme, including information on its organisation and regulations, as well as a number of useful information. In addition, this section includes an overview of the University’s Quality Assurance system and the Student Orientation services available to prospective students, to help them choose the right course for them.

Student orientation services

The new website of the Student Orientation Office, with new form and content, is the result of a long process aimed at providing a better and more comprehensive service to its many users. Users are mostly secondary school pupils approaching the University for the first time, and schools' University Orientation Services which organise activities to assist their pupils in post-school choices. Making a decision means choosing the best alternative to satisfy one's expectations, preferences and aspirations. 
 
More details: www.univr.it/orientamento (italian page)

sportello telefonico: dal lunedì al venerdì, dalle ore 9:00 alle 13:00.

Find out more

Course of study in brief

The master's degree programme in Mathematics is characterized by a robust and modern approach to mathematics, in line with the best and most up-to-date national and international opportunities in STEM (Science, Technology, Engineering and Mathematics). It is delivered in English and many lectures are given by foreign lecturers from partner institutions at the top of international rankings. The master's degree course is offered within a teaching center of the ECMI (European Consortium for Mathematics in Industry), the only venue in the Northeast. In particular, with appropriate choices in the study plan, it is possible to obtain the ECMI certificate recognised at the European level. The degree courses are designed to broaden the mathematical knowledge acquired in a three-year undergraduate degree course and to allow for specialisation in some specific areas. The degree is structured to provide students with advanced skills in the main mathematical methods used in science, society and economics. The course promotes the acquisition of transversal skills, aimed at offering the student a rounded training that is applicable to the subsequent pathway to employment. In particular those who follow relevant courses specifically offered by the University or other institutions may have a corresponding number of university credits recognised as part of their study programme.   The  course is structured in two curricula. The Applied Mathematics curriculum, which is highly professional, is based on solid modelling and computational preparation covering, for example, industrial and applied mathematics, data and decision science, mathematical finance, code theory and cryptography. The Mathematics for Education curriculum is characterized in particular by teaching the fundamentals of mathematics, computer science and physics, with additional workshops in education. The course of study can be customised by attending some courses at the University of Trento, with whom the University of Verona shares a convention, and by participating in the international mobility programmes with over thirty partner locations in Europe. It is also possible to participate in three double degree programmes: with the Institut Polytechnique de Grenoble (France), with the Université Bourgogne Franche-Comté (France) and with the Universität Stuttgart (Germany). The wide and diverse range of courses on offer allows students to include in their study plan the subjects most suited to their chosen pathway. Here you can find suggestions for possible lecture courses to be included in the study plan. Additional tools are provided to all students to support the in-person lectures, such as bibliographic references, notes, handouts, video lectures or other teaching materials. Internships are possible at companies of national and international importance, e.g. in the banking, insurance and industrial sectors, research laboratories and educational institutions. These features of the course guarantee high competitiveness in the labour market and in scientific and technological research. A graduate of the master's degree in mathematics in Verona can successfully fit into work groups in the research and development sectors of companies and industries, scientific laboratories of public and private institutions (data analysis, software analysis and development, cryptography and security, modelling and simulation in a virtual environment, development of models and analysis of biomedical processes, methodologies and technologies for Industry 4.0...) and in financial and banking institutions or insurance companies, nationally and internationally. A graduate of the master's degree in mathematics can also enter the teaching profession in primary and secondary schools. He/she has the opportunity to fulfil the curricular requirements to enter the following teaching classes: Mathematics and Science in lower secondary schools, Mathematics, Physics, Applied Mathematics and Computer Science in upper secondary schools. He/she can also complete the initial teacher training course required by law to compete for tenured posts in the school. The Master's degree graduate in Mathematics can successfully pursue studies at the PhD level both in Mathematics and in other scientific fields (e.g. Computer Science, Statistics, Economics and Finance, Bioengineering and Biomedical Sciences) in Italy and abroad.
 

L'obiettivo specifico del corso, in armonia con gli obiettivi qualificanti della classe LM-40, è quello di offrire una preparazione avanzata nell'area della matematica, fruibile sia da laureati italiani che stranieri essendo erogato interamente in lingua inglese.

L'offerta formativa si articola in due curricula (curriculum "education" e curriculum "applied") che privilegiano l'uno le problematiche fondazionali e relative alla formazione degli insegnanti della scuola secondaria, e l'altro quelle aree della matematica maggiormente coinvolte nello sviluppo contemporaneo della matematica applicata e che danno le migliori prospettive occupazionali agli studenti.

Il suo ordinamento prevede una approfondita preparazione nei fondamenti della matematica e nelle conoscenze indispensabili per applicazioni avanzate dell'algebra, della geometria, dell'analisi, dell'analisi stocastica, della fisica matematica e dell'analisi numerica.

Il percorso formativo si struttura innanzitutto in un nucleo di base di insegnamenti di tipo tradizionale e di durata consistente, in cui ampio spazio viene dedicato alla soluzione di problemi.
A questi si aggiunge una rosa di insegnamenti più mirati a temi specifici, a seconda del curriculum scelto, la cui rilevanza è documentata dalla loro presenza nelle principali correnti di ricerca internazionali. Per quanto riguarda il curriculum "education", si enfatizza notevolmente la didattica della matematica, dell'informatica e della fisica moderna a livello teorico e di esperienze didattiche di laboratorio, e non si trascura la psicologia dell'educazione.

Nell curriculum "applied" si offrono insegnamenti avanzati sia a carattere teorico (come ad esempio nell'ambito dell'algebra e dell'analisi matematica), ma anche professionalizzante, negli ambiti della finanza matematica, della modellizzazione dei fenomeni fisici e biologici, dell'analisi e dell'elaborazione di dati e di immagini, enfatizzando i metodi computazionali associati ai vari ambiti.

Un'ampia scelta di tirocini presso istituzioni scolastiche e di attività di stage presso aziende, enti e laboratori universitari in Italia e di soggiorni studio all'estero presso sedi partner prestigiose permettono di completare la formazione dello studente migliorandone le capacità professionali.

Osserviamo inoltre che, seppure il corso si proponga come approfondimento naturale della classe L35, è strutturato in modo da consentirne la fruizione e da garantirne l'efficacia formativa a coloro che, provenendo da lauree affini, sono intenzionati a sviluppare i propri studi accentuando gli aspetti matematici che stanno alla base delle scienze applicate.

La verifica dei risultati dell'apprendimento è in generale di tipo tradizionale, ovvero per mezzo di un elaborato scritto e/o un colloquio orale. A seconda dei casi essa potrà essere parzialmente sostituita e/o integrata da altre forme di verifica quali homeworks, relazione su progetti, stages o tirocinii, presentazione sotto forma di seminario.

PROFILI PROFESSIONALI: MATEMATICI, ANALISTI FINANZIARI, STATISTICI, ANALISTI E PROGETTISTI DI SOFTWARE, ANALISTI DI SISTEMA.

Funzione in un contesto di lavoro
Il CdS prepara alle professioni di: Matematici, Analisti finanziari, Statistici, Analisti e progettisti di software, Analisti di sistema.

Competenze associate alla funzione
Il laureato magistrale in Matematica è in grado di inserirsi prontamente nei vari ambienti di lavoro grazie al suo solido bagaglio di competenze teoriche, modellistiche e numeriche. Riesce ad adattarsi a nuove situazioni e problematiche, acquisendo facilmente, con rapidità ed autonomia, eventuali conoscenze specifiche non ancora possedute. È in grado di proseguire con successo gli studi a livello di Dottorato sia in Matematica che in Informatica, Ingegneria, Statistica ed Economia, in Italia e all'estero, o di completare la sua formazione nei percorsi abilitanti per la professione di insegnante nella Scuola Secondaria di primo e secondo grado.

Sbocchi occupazionali
Come testimoniato da studi recenti e dagli esiti dell'indagine AlmaLaurea, il profilo del matematico applicato con una solida base probabilistico-modellistico-computazionale costituisce una risorsa tanto rara quanto preziosa ed estremamente ricercata nel mondo produttivo a livello europeo ed internazionale in genere. Il laureato magistrale in Matematica a Verona può inserirsi con successo in gruppi di lavoro presso istituti finanziari e bancari o compagnie di assicurazione, nonché nei settori di ricerca e sviluppo di aziende ed industrie (analisi e sviluppo del software, crittografia e sicurezza, aziende di servizi per la sperimentazione virtuale, laboratori scientifici di enti pubblici e privati, sviluppo di modelli ed analisi di processi biomedici...) a livello regionale, nazionale ed internazionale. È in grado di svolgere i suoi compiti tecnici o professionali sia in autonomia che in team con esperti di altre discipline scientifiche, fornendo in particolare supporto modellistico e computazionale.
 



Quality Assurance

The quality of a degree programme is the extent to which it achieves its educational objectives and meets the quality requirements of the educational activities offered, which are determined in line with the needs and expectations of students and representatives of the world of work.

This programme has adopted a teaching Quality Assurance system in line with the University’s quality assurance guidelines and based on the e ANVUR national quality assurance guidelines, by carrying out the following activities:
  • periodic consultations with representatives of the world of work to assess the adequacy of the cultural and professional profiles offered in their courses;
  • design of educational contents and planning of resources;
  • organisation of educational activities and teaching services;
  • monitoring the effectiveness of teaching and planning measures to improve teaching and services;
  • provision of complete and up-to-date information on its website, relating to the programme (professional roles, expected learning outcomes, learning activities).
The above activities are scheduled and interrelated, based on the PDCA principles (Plan, Do, Check, Act).
schema_qualita

In a Quality Assurance system, students play a fundamental role: each student can play their part by participating in the Quality Assurance groups of their degree programme and in the Faculty-Student Joint Committees or, more simply, by taking part in the Student Survey on teaching, or questionnaires. It’s in this context that specific workshops for student representatives (‘Laboratori di rappresentanza attiva’) are periodically made available to students by the University and the University’s Quality Assurance Board. To find out more, please see the relevant section.

Il sistema di valutazione universitario e il ruolo dello studente

by Prof. Graziano Pravadelli: a lecture recorded on the occasion of the January 2021 workshop for student representatives.

QA bodies

QA in degree programmes

QA activities

Degree Programme description and regulations

symbol pdf-document

Not yet available

The Degree programme teaching regulations, published on june/july set out the organisational aspects of the degree programme, in line with the University’s teaching regulations. It includes general information about the programme, links to the relevant module web pages and specifies the administrative aspects.

Other Rules

To view other regulations of interest refer to the section: Statute and regulations

The Italian University system

schema_qualita

First-cycle degrees: Bachelor’s degree programme

First-cycle degrees are aimed at enabling students to achieve a command of general scientific methods and content, and to acquire specific professional knowledge.
Admission requirements: secondary school diploma after completing 13 years of study in total and passing the relevant State examination, or equivalent foreign qualification; admission may be subject to further assessment.
Duration: three years.
Graduation: in order to obtain the degree, it is necessary to gain at least 180 CFU; doing an internship and preparing a dissertation/thesis may also be required. Upon completion of a Bachelor’s degree, graduates may continue their studies by enrolling in a Master’s degree or other second-cycle degree programmes and courses.
Academic title: upon completion of a Bachelor’s degree (Laurea), graduates are awarded the title of “Dottore”.

Second-cycle degrees: Master’s degree

Second-cycle degrees aim to provide students with an advanced training and knowledge to take on highly-skilled roles.
Admission requirements: applicants must hold a Bachelor’s degree, or a foreign equivalent qualification; curricular admission requirements for each course may vary depending on each University.
Duration: two years.
Graduation: in order to obtain the degree, it is necessary to gain at least 120 CFU, as well as preparing and presenting a dissertation/thesis.
Academic title: upon completion of a Master’s degree (Laurea Magistrale), graduates are awarded the title of “Dottore magistrale”. Single cycle/Combined Bachelor+Master’s degrees
Some courses (Medicine and Surgery, Veterinary Medicine, Dentistry and Dental Prosthetics, Pharmacy and Industrial Pharmacy, Architecture and Building Engineering-Architecture, Law, Primary Education) are offered as Single cycle/Combined Bachelor+Master’s degrees (Corsi di Laurea Magistrale a Ciclo Unico).
Admission requirements: applicants must hold a secondary school diploma or equivalent foreign qualification; admission is subject to passing an admission test.
Duration: five years (six years and 360 CFU for Medicine and Surgery, and Dentistry and Dental Prosthetics).
Graduation: in order to obtain the degree, it is necessary to gain at least 300 CFU, as well as preparing and presenting a dissertation/thesis. Upon completion of a Single-cycle degree, graduates may continue their studies by applying for a PhD programme (Dottorato di Ricerca) or other third-cycle courses.
Academic title: upon completion of a Master’s degree (Laurea Magistrale), graduates are awarded the title of “Dottore magistrale”.

Third-cycle degrees

PhD programmes: these courses enable students to gain reliable methodologies for advanced scientific research through innovative methodologies and new technologies, and generally include internships abroad and lab activities at research laboratories. Graduates wishing to apply for a PhD programme must have a Master’s degree (or a foreign equivalent qualification) and pass an open competition; PhD programmes have a minimum duration of three years. In order to complete the programme, students must produce a research thesis/dissertation and present it at a final examination.
Academic title: upon completion of a PhD programme, students are awarded the title of “Dottore di ricerca”, or “PhD”.
Postgraduate specialisation courses: these are third-cycle courses aimed at enabling students to develop advanced knowledge and highly-specialised skills, such as in the medical, clinical and surgical fields. To be admitted to these courses, applicants must have a Master’s degree (or a foreign equivalent qualification) and pass an open competition. Postgraduate specialisation courses may last from two (120 CFU) to 6 years (360 CFU) depending on the type. Academic title: upon completion of this programme, graduates are awarded a “Diploma di Specializzazione”.

Professional Master’s programme

1st-level Professional Master’s programmes: these courses enable students to further enhance their scientific knowledge and professional skills. In order to apply, applicants must have a Bachelor’s degree, or foreign equivalent qualification. The minimum duration is one year (60 CFU). Please note that completing this course will not provide you with direct access to a PhD programme (Dottorato di Ricerca), or other third-cycle courses, as these courses are run and managed by each University at the local level. Upon completion of this programme, students are awarded a “Master universitario di primo livello”.
2nd-level Professional Master’s programmes: these courses enable students to further enhance their scientific knowledge and professional skills. In order to apply, applicants must have a Master’s degree, or foreign equivalent qualification. The minimum duration is one year (60 CFU). Please note that completing this course will not provide you with direct access to a PhD programme (Dottorato di Ricerca), or other third-cycle courses, as these courses are run and managed by each University at the local level. Upon completion of this programme, students are awarded a “Master universitario di secondo livello”.

Other useful things

Crediti Formativi Universitari (CFU/ECTS credits): Italian university courses are based on the CFU system. 1 CFU is equal to 25 hours of study. The average annual academic workload for a full-time student is generally assumed to be 60 CFU. CFU and ECTS credits serve the same purpose and generally have the same value.
Degree class: Bachelor's and Master's degree programmes that have the same learning objectives and activities are grouped into “degree classes". The educational content of each programme is set autonomously by each university; however, universities are required to include certain educational activities (and the corresponding number of CFU credits) set at the national level. These requirements are established in relation to each degree class. Degrees in the same class have the same legal value.
Double/Joint degrees: the Italian universities may establish degree programmes in partnership with other Italian or foreign universities. Upon completion of these courses, graduates are awarded a joint or double/multiple degree, one from each Partner University.

Why Verona