## MATHEMATICS Degree Program Profile

## Basic Information

### Qualification awarded

Master Degree in MATHEMATICS

### Qualification Type/Level

EHEA First Cycle; EQF Level 6

### Number of Years/credits

2 years; 120 ECTS

### Mode of Study

Full-Time/Part-Time*

*All Degree Programmes are planned and organised for full-time students. It is possible, however (without special arrangements), to proceed through the course of study at one's own rhythm. This makes it possible, if necessary, to accommodate employment or other non-university activities or obligations.

### Name of Course Director and other contact information

President of the Degree Course Council:

Prof. MATTEO NOVAGA

Email matteo.novaga@unipi.it

Department of MATEMATICA

Internationalization Coordinator (CAI):

Prof. Giovanni Federico Gronchi

Email international@mail.dm.unipi.it

### Language of Teaching

Italian

## Admission Requirements

### Formal Requirements

Italian First cycle qualification (Laurea) or foreign equivalent in the same or related subject area, with possible extra work if required competences are lacking.

### Possible assessment prior knowledge and competences

Assessment of competences acquired in First Cycle studies in related or un-related subject areas to determine admission by Degree Programme Council with possible assignment of extra work to be done before admission.

### Required knowledge and competences support programmes

Students whose curricula show lacuna may need to take extra first cycle course units before admission.

## General Information

### Programme Profile

The key features of mathematics are its flexibility and its ability to

provide effective responses to problems coming from other scientific subjects,

along with its capacity to vigorously develop under purely internal

motivations. The Laurea Magistrale (Master) Degree in MATHEMATICS is built

around this idea of flexibility, offering educational opportunities

suited to both the internal development needs of mathematics and to

the interaction with other branches of science. The program is

explicitly aimed at attracting graduates not only in Mathematics,

but also in Physics, Computer Science, Engineering, Philosophy, and more.

Through the training curricula offered, the program will forge

graduates with advanced specific knowledge in one or more sectors of

pure or applied mathematics, with strict connections to other fields such

as physics, computing, or teaching.

### Key Learning Outcomes

Graduates of the Master Degree in MATHEMATICS will be able to demonstrate:

- Deep Knowledge of the foundations of algebra, analysis and geometry

and of modern developments of these fields;

- Knowledge of computing tools and computing languages

- Knowledge of classical and modern physics and celestial mechanics

- Understanding and ability to develop original complex deductive

reasonings and data modeling

- Depending on the curriculum they have chosen, deep knowledge

and ability to provide original creative contributions in

either advanced theoretical mathematics or numerical and modeling

methods for natural, industrial or financial phenomena

- Awareness of the importance of team work and leading capacity

- Ability to communicate basic and advanced mathematics to a specialized

and a general public

### Occupational Profile/s of Graduates

Graduates of the Master Degree in MATHEMATICS will belong to one of

the following professional profiles:

1) Applied mathematician, with high responsibility functions in the

development and analysis of mathematical and numerical models in the

following fields: environment and

metereology; banks, insurance, and finance; publishing and scientific

communication; logistics and transportation; biomedical and health.

More generally the Applied mathematician can lead a team employed

in any job function involving computational techniques and data treatment,

handling and analysis.

2) Mathematical teacher and popularizer, who will have high responsibility

functions in the communication of science, either in schools or publishing

houses, newspapers and magazines, radio, TV, websites and more generally

in multimedia communication firms. Key features of this job include

the ability to explain problems, ideas and solutions concerning advanced

topics in mathematics and related fields, both to a general and to a

specialized public.

3) Mathematical researcher, who will master the techniques and ideas

of modern mathematics, with the ability to provide original and creative

contributions to the solution of open problems, also through the

development of new tools. The researcher will continue his studies

with a PhD program in mathematics or in a related field.

### Access to further study

The Laurea Magistrale degree in MATHEMATICS allows the graduate to compete for entry into a Third Cycle programme/doctoral school.

### Assessment methods, examination regulations, and grading

Assessment is normally by means of an oral or written examination; in some cases there are intermediate exams during the course; other elements (participation in discussion, written or oral reports, comment of texts etc. ) are foreseen in specific course units and are described in the Course Unit Profiles.

The grading system for the course units consists of 30 possible points, plus 'lode' (cum laude) in case of excellence. Marks are given by the lecturer on the basis of performance as ascertained in a public examination by a board of at least two teachers. Main exam sessions are held in June/July; September; and January; students may resit exams**.
Actual grading curves differ in different degree programmes. The University of Pisa provides an ECTS Grading Table, which shows the actual distribution, of examination and final grades among students of each degree programme, in order to facilitate comparison with other grading systems. ---> Link to ECTS Grading Table

An overall mark is given on occasion of the 'Final Exam', when a written research text is presented and discussed. The final overall mark is calculated on the results of the marks obtained in the single course units and the final exam, and is based on 110 possible points, with the possible further mention of honours ("lode" or cum laude).

**The exam sessions are organised in sessions (the dates vary according to the Department and are published in the Department's academic calendar). In each session there are a certain number of 'appelli' [calls], or dates on which the examination for each course unit may be taken. The 'appelli' are fixed by the teacher. The student chooses which of the appelli he or she wishes to respond to. In most cases it is obligatory to sign up before the specified date.

### Requirements (regulations) to obtain the qualification

The final written dissertation, to which 30 ECTS are allocated, must

demonstrate ability to fully understand and originally describe

the techiques, motivations and results in an advanced research topic

in modern theoretical mathematics, numerical analys