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Degree course in MATHEMATICS (Codice 2158)

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Detail Degree Course Academic year of the educational offer: 2016/2017
School:
  • SCHOOL OF BASIC AND APPLIED SCIENCES
Class:
  • Mathematics (LM-40)

credits total:120

Educational objectives
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The 2nd cycle Degree Course in Mathematics is the natural continuation of the 1st cycle course with the same name. It provides for educational activities completing and deepening the acquired mathematical competences. At the same time, it is structured in a way to permit attendance also to students coming from other, similar, 1st cycle courses and wishing to develop their studies with a strong mathematical emphasis. The course aims at educating graduates with advanced knowledge of the scientific method and a sound theoretical, methodological and applicative background in the principal mathematical areas. The course develops analysis and synthesis capabilities, as well as the capability of translating into a mathematical language interdisciplinary issues and of identifying solutions for complex problems. The course might be articulated in different curricula, depending on the cultural interests of individual students and/or on professional opportunities. For instance, it may privilege one or more areas of pure mathematics, also in the perspective of further studies, such as a PhD, or core mathematics and teaching methodologies. The cultural and methodological training will enable in any case the placement of graduates in areas which are not strictly scientific, requiring planning and managerial capabilities. The preferred teaching tool consists of lectures, practice sessions and integrative seminars. Practice can be proposed to be carried out independently, through which students are encouraged to explore the limits of their abilities. Students can receive handouts of the lessons (also available online) or have one or more reference texts. Examinations are carried out through the evaluation of a written paper and/or an oral interview. The final examination consists of a dissertation, consistent with the training, in which the student, under the guidance of a supervisor, must demonstrate independence and originality.
Professional opportunities
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2nd cycle graduates in Mathematics may carry out their professional activities in various areas: in companies and industry, research laboratories and institutions, in the dissemination of scientific culture, in the service sector, in the public administration. The privileged sectors are those in which mathematics plays a central role under the theoretical or applicative point of view. 2nd cycle graduates in Mathematics are able to work fruitfully with experts from other sectors, contributing, with their expertise and methodology to the mathematical formalization and resolution of problems of practical interest. Their contribution is particularly sought after in areas that require familiarity with the scientific methods of investigation and sound understanding of the mathematical tools such as the analysis of complex systems. Graduates in Mathematics might continue with PhD studies to devote themselves to research, both in pure and applied mathematics. Finally they have the skills (or can easily acquire any necessary missing knowledge) to perform all the professions in paragraph 2.1.1.3 (Mathematicians and statisticians) and most of those in paragraph 2.1.1.4 (Computer and electronic) of the ISTAT Classification of Occupations . Graduates can also choose school teaching jobs, after completion of the qualification process provided by law
Final examination features
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It consists of an original written dissertation (in Italian or English), prepared by the students under the guidance of at least one professor (supervisor), and in the oral presentation of the dissertation. The final examination will be evaluated according to the originality of outcomes, and to the candidate's command of the subject, autonomy and ability to expose the topic and to carry out bibliographical research.


course outlineNo propaedeutical teaching for this curriculum

See explaination

Teachings first year
credits Term Val. Area Scientific sector
03299 - MATHEMATICAL PHYSICS course specifications SAMMARTINO (PO) 12.0 1 V
FUNDAMENTALS OF MATHEMATICAL PHYSICS RICCI (RU) 6.0 B MAT/07
SUPERIOR MECHANICS SAMMARTINO (PO) 6.0 B MAT/07
07799 - SUPERIOR ANALYSIS course specifications TRAPANI (PO) 12.0 1 V
NON COMMUTATIVE ANALYSIS TRAPANI (PO) 6.0 B MAT/05
FUNCTIONAL ANALYSIS AVERNA (PA) 6.0 B MAT/05
10785 - ELEMENTS OF ALGEBRA course specifications GIAMBRUNO (PQ) 12.0 1 V
GROUP REPRESENTATION LA MATTINA (PA) 6.0 B MAT/02
THEORY OF ALGEBRAS GIAMBRUNO (PQ) 6.0 B MAT/02
17206 - TOPOLOGICAL GROUPS AND LIE GROUPS course specifications BARTOLONE (PO) 6.0 1 V B MAT/03
07008 - HISTORY OF MATHEMATICS course specifications CERRONI (PA) 6.0 2 V B MAT/04
Optional subjects 6.0 C
Free subjects 12.0 D


Teachings second year
credits Term Val. Area Scientific sector
13351 - COMPETENCES RELATED TO THE LABOUR MARKET 3.0 1 G F
17205 - ALGEBRAIC GEOMETRY course specifications KANEV (PO) 6.0 1 V B MAT/03
04190 - PHYSICS - LABORATORY course specifications LI VIGNI (PA) 6.0 2 V C FIS/01
05917 - FINAL EXAMINATION 27.0 2 G E
Optional subjects II 12.0 C


Elective activities

Optional subjects credits Term Val. Area Scientific sector
15341 - ALGEBRAIC TOPOLOGY course specifications UGAGLIA (PA) 6.0 1 V C MAT/03
17972 - THEORY OF CODES AND CRYPTOGRAPHY course specifications FALCONE (PA) 6.0 1 V C MAT/03
05044 - MATHEMATICAL METHODS AND MODELS FOR APPLICATIONS course specifications LOMBARDO (PO) 6.0 2 V C MAT/07
06321 - ALGORITHM SCIENCE AND ENGINEERING course specifications GIANCARLO (PO) 6.0 2 V C INF/01
17971 - NON LINEAR ANALYSIS course specifications AVERNA (PA) 6.0 2 V C MAT/05
01171 - NON-COMMUTATIVE ALGEBRA course specifications GIAMBRUNO (PQ) 6.0 1 V C MAT/02
16522 - THEORIES AND TECHNIQUES OF IMAGE ANALYSIS course specifications TEGOLO (PA) 6.0 2 V C INF/01


Optional subjects II credits Term Val. Area Scientific sector
15341 - ALGEBRAIC TOPOLOGY course specifications UGAGLIA (PA) 6.0 1 V C MAT/03
17972 - THEORY OF CODES AND CRYPTOGRAPHY course specifications FALCONE (PA) 6.0 1 V C MAT/03
05044 - MATHEMATICAL METHODS AND MODELS FOR APPLICATIONS course specifications LOMBARDO (PO) 6.0 2 V C MAT/07
06321 - ALGORITHM SCIENCE AND ENGINEERING course specifications GIANCARLO (PO) 6.0 2 V C INF/01
17971 - NON LINEAR ANALYSIS course specifications AVERNA (PA) 6.0 2 V C MAT/05
01171 - NON-COMMUTATIVE ALGEBRA course specifications GIAMBRUNO (PQ) 6.0 1 V C MAT/02
16522 - THEORIES AND TECHNIQUES OF IMAGE ANALYSIS course specifications TEGOLO (PA) 6.0 2 V C INF/01


Explaination
Term Term/Semester
Val. Valutation: V = mark in 30/30, G = note
(*) Teaching attended in english
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