Degree course in Mathematics [LM-40] D. M. 270/2004
General information
Qualification awarded
Master’s Degree in Mathematics
Level of qualification
Second cycle
Specific admission requirements and specific arrangements for recognition of prior learning
Students who intend to enrol on the Master’s Degree Programme in Mathematics at the Università degli Studi di Perugia must have a three-year University degree or diploma, or another recognizable qualification awarded abroad. The maximum number of students admitted is 60.
Degrees within class 32 or L – 35, or within other three – year degree programmes are pre-requisites, on condition that they allow the acquisition of at least 60 credits in courses of Mathematics, Physics, Computer Science or similar, of which:
at least 35 credits in courses of Mathematics;
at least 18 credits in courses of Physics, Computer Science.
Profile of the programme
The Master’s Degree Programme in Mathematics at the Università degli Studi di Perugia aims to provide students with a solid education, with in-depth knowledge and skills in mathematics and its applications. The curriculum aims to give students the skills of abstraction and reasoning, an aptitude for mathematical modelling and mental flexibility, essential for tackling the study of complex problems both from a theoretical and applicative point of view. On the basis of the culture previously acquired during the three – year degree programme, the student will be able to extend his/her skills in similar fields and to complete his/her mathematical education on not yet acquired basic subjects.
Qualification requirements and regulations
The Degree Programme in Mathematics has a duration of two years, during which the student must obtain 120 credits. The formative activities, organized on a six-monthly basis, take place through means of face to face classes, exercises, practical and seminarian activities and a final examination. The curriculum of each student is oriented upon enrolment and ongoing assessment by the staff of the didactic secretary’s office and by designated tutors (Professors, PhD and research fellows of Departments). The Master Degree Programme in Mathematics is organized in two curricula, as follows:
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General curriculum;
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Didactic curriculum.
The two curricula are differentiated from each other from the first year of the programme.
The general curriculum offers a broad and solid education in Mathematics, in theoretical aspects as well as in others aimed more at applications. Furthermore, it is organized in such a way as to allow the student to deepen a specific field, providing the necessary knowledge to become more familiar with the research within that sector.
The didactic curriculum privileges the study of the rudiments of Mathematics and is focused on historical and epistemological development, aimed at those who aspire to professional activities related to the diffusion of scientific culture and teaching.
Key learning outcomes
Knowledge and understanding
Master’s graduates in Mathematics have an in-depth knowledge of basic mathematics and the relevant methods. They also possess specialistic mathematical knowledge, providing potential support to other sciences also.
Applying knowledge and understanding
Master’s graduates in Mathematics are able to understand new problems and recognize their essential aspects, and are able to formulate rigorous mathematical reasoning.
Making judgements Master’s graduates are able to construct and develop logical observations, are able to work individually and also as a team.
Communication skills Master’s graduates are able to reason mathematically and to draw conclusions clearly and accurately, with formulations consistent with the audience they are addressing, both in writing and orally, in Italian and in English, to relate individual outcomes or advanced mathematical themes both in writing and orally.
Learning skills Master’s graduates are mentally flexible and able to easily adapt to new working environments, promptly resolving problems and rapidly acquiring the necessary scientific skills; they can continue their studies, both in Mathematics and in other subjects, with a high degree of autonomy.
Examination regulations, assessment and grading
Examinations take place orally before a Board of at least two Professors. Other possible methods of assessment (i.e., final written examinations or ongoing assessment, seminar presentations) are specified in the descriptions of the individual courses. The relevant examinations are assessed on a scale of 30 and, where appropriate, with honours. The final grade is based on the results of individual courses and on the final examination which involves the presentation of a written thesis to be discussed before a Board of at least 11 Professors. The latter is assessed on a scale of 100 and, where appropriate, with honours.
Graduation requirements
The final qualification is awarded upon the attainment of 120 credits and upon the approval of a written thesis.
Mode of study (full-time, part-time, e-learning, ...)
Full time study and attendance is recommended, however, part time study is also possible: attendance is not compulsory and students can sit exams according to their rhythm and needs.
Occupational profiles of graduates with examples
Master’s graduates in Mathematics will be able to carry out professional activities in different fields, also related to their curricula: in enterprises and business; in laboratories and research centres; in the field of scientific research diffusion; in the services sector; in public administration.
The programme paves the way for the professions of: mathematician, statistician, information technologist, researchers and technicians graduated in mathematical and information science.
Access to further studies
The qualification provides access to the following study programmes: PhD, 1st and 2nd Level Vocational Masters and Schools of Specialization.
Programme director or equivalent
Tabella riepilogativa regolamento
General (Regulations 2013)
| Year 1 | ||||
| ECTS code | Study-unit | Period | ECTS | Offered |
|---|---|---|---|---|
| 237 | Algebra III | I semester | 6 | Yes |
| 259 | Analysis of Numerical Methods | I semester | 6 | Yes |
| 238 | Mathematical Analysis V | II semester | 9 | Yes |
| 275 | Advanced Analysis | I semester | 6 | Yes |
| 4687 | Probability | II semester | 6 | Yes |
| 242 | Codes and Cryptography | I semester | 6 | Yes |
| 277 | Differential Equations | II semester | 6 | Yes |
| 269 | Didactics of Physics | I semester | 6 | Yes |
| 241 | Mathematical Physics II | I semester | 6 | Yes |
| 270 | Foundations of Geometry | II semester | 6 | Yes |
| 244 | Combinatorics II | II semester | 6 | Yes |
| 243 | Geometry V | II semester | 9 | Yes |
| 276 | Complementary Mathematics | II semester | 6 | Yes |
| 255 | Geometric Methods in theTheory of Relativity | I semester | 6 | Yes |
| 4684 | Mathematical Methods for Economics | I semester | 6 | Yes |
| 256 | Mathematical Methods for Stochastic Processes | I semester | 6 | Yes |
| 268 | Geometric Models | I semester | 6 | Yes |
| 240 | Mathematical Models for Finance | II semester | 6 | Yes |
| 4685 | History of Mathematics I | II semester | 6 | Yes |
| 267 | Decision Theory | I semester | 6 | Yes |
| 4686 | Topology I | I semester | 6 | Yes |
| Total Year | 132(*) | |||
| Year 2 | ||||
| ECTS code | Study-unit | Period | ECTS | Offered |
| 271 | Mathematical Analysis VI | I semester | 9 | |
| 272 | Mathematical Physics III | I semester | 6 | |
| 273 | Modern Physics | I semester | 6 | |
| 274 | Geometry VI | I semester | 9 | |
| Other activities | ||||
| 35 | Thesis | II semester | 27 | Yes |
| 33 | Additional Educational Activities | II semester | 3 | |
| Total Year | 60 | |||
| Total | 120 | |||
| Elective/s | ||||
| Other activities | ||||
| 34 | Courses chosen by the student | 12 | ||
