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Academic year 2016/2017
Master's Degree (MSc) on MATHEMATICS

Coordinator Prof. Barbara Brandolini
Class of Master's Degree (MSc) on Mathematics (LM-40)
2 years
PALERMO
Free access
Department of Mathematics and Informatics
Course Code
2158

Course info
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.
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
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 outline
Teachings first year
credits Term Val. Area Scientific sector
03299 - MATHEMATICAL PHYSICS Details 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 Details 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 Details GIAMBRUNO (PQ) 12.0 1 V
GROUP REPRESENTATION LA MATTINA (PO) 6.0 B MAT/02
THEORY OF ALGEBRAS GIAMBRUNO (PQ) 6.0 B MAT/02
17206 - TOPOLOGICAL GROUPS AND LIE GROUPS Details BARTOLONE (CU) 6.0 1 V B MAT/03
07008 - HISTORY OF MATHEMATICS Details CERRONI (PO) 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 - ADVANCED SKILLS RELATED TO THE LABOUR MARKET 3.0 1 G F
17205 - ALGEBRAIC GEOMETRY Details KANEV (PO) 6.0 1 V B MAT/03
04190 - PHYSICS - LABORATORY Details LI VIGNI (CU) 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 Details UGAGLIA (PA) 6.0 1 V C MAT/03
17972 - THEORY OF CODES AND CRYPTOGRAPHY Details FALCONE (PA) 6.0 1 V C MAT/03
05044 - MATHEMATICAL METHODS AND MODELS FOR APPLICATIONS Details LOMBARDO (PO) 6.0 2 V C MAT/07
06321 - ALGORITHM SCIENCE AND ENGINEERING Details GIANCARLO (PO) 6.0 2 V C INF/01
17971 - NON LINEAR ANALYSIS Details AVERNA (PA) 6.0 2 V C MAT/05
01171 - NON-COMMUTATIVE ALGEBRA Details GIAMBRUNO (PQ) 6.0 1 V C MAT/02
16522 - THEORIES AND TECHNIQUES OF IMAGE ANALYSIS Details TEGOLO (PA) 6.0 2 V C INF/01
Optional subjects II credits Term Val. Area Scientific sector
15341 - ALGEBRAIC TOPOLOGY Details UGAGLIA (PA) 6.0 1 V C MAT/03
17972 - THEORY OF CODES AND CRYPTOGRAPHY Details FALCONE (PA) 6.0 1 V C MAT/03
05044 - MATHEMATICAL METHODS AND MODELS FOR APPLICATIONS Details LOMBARDO (PO) 6.0 2 V C MAT/07
06321 - ALGORITHM SCIENCE AND ENGINEERING Details GIANCARLO (PO) 6.0 2 V C INF/01
17971 - NON LINEAR ANALYSIS Details AVERNA (PA) 6.0 2 V C MAT/05
01171 - NON-COMMUTATIVE ALGEBRA Details GIAMBRUNO (PQ) 6.0 1 V C MAT/02
16522 - THEORIES AND TECHNIQUES OF IMAGE ANALYSIS Details 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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