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Academic year 2022/2023
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. It is designed 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 training graduates with advanced knowledge of the scientific method and sound theoretical, methodological and applicative groundings in the principal mathematical areas. The course develops analysis and synthesis capabilities, as well as the capability of translating interdisciplinary issues into a mathematical language 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 applied mathematics 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 course consists of lectures, practice sessions and integrative seminars. Independent practice encourages students 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 typically consist of written tests and/or an oral interviews. The final examination consists of a dissertation, consistent with the course outline, in which the student, under the guidance of a supervisor, must demonstrate independence and originality.
Profile: 2nd cycle graduate in Mathematics Functions: -High responsibility positions in the construction and analysis of mathematical models in various fields; - High responsibility positions in the fields of Mathematics and Science communication; - Performance of original research in the mathematical field. Skills: Flexible mentality. Advanced computational and computer skills. Ability to create, analyse and operate mathematical models. Ability to communicate ideas and solutions concerning advanced Mathematics sectors. Professional opportunities: Graduates in Mathematics can carry out professional activities: (a) in banks, finance companies, insurance companies; (b) in companies in specific application areas; (c) in research both at the University, through PhD Courses, and in other public or private research centres; (d) in the dissemination of scientific culture; (e) in the public administration; Graduates in Mathematics can also access, according to current legislation, teaching at school (http://www.math.unipa.it/presidenzamatematica/ins.html).
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 assessed taking account of the originality of outcomes, and the candidate's command of the subject, autonomy and ability to expose the topic and to carry out literature search.

course outline
Teachings first year
credits Term Val. Area Scientific sector
03299 - MATHEMATICAL PHYSICS Details SAMMARTINO (PO) 12.0 Yearly 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 Yearly V
NON COMMUTATIVE ANALYSIS TRAPANI (PO) 6.0 B MAT/05
FUNCTIONAL ANALYSIS TORNATORE (PA) 6.0 B MAT/05
10785 - ELEMENTS OF ALGEBRA Details LA MATTINA (PO) 12.0 Yearly V
GROUP REPRESENTATION LA MATTINA (PO) 6.0 B MAT/02
THEORY OF ALGEBRAS MARTINO (RD) 6.0 B MAT/02
20691 - ENGLISH LANGUAGE SKILLS - EQUIVALENT TO LEVEL B2 Details 3.0 1 G F
17206 - TOPOLOGICAL GROUPS AND LIE GROUPS Details FALCONE (PA) 6.0 2 V B MAT/03
Optional subjects 12.0 C
Free subjects 12.0 D
Teachings second year
credits Term Val. Area Scientific sector
04190 - PHYSICS - LABORATORY Details BATTAGLIA (RD) 6.0 1 V C FIS/08
07008 - HISTORY OF MATHEMATICS Details CERRONI (PO) 6.0 1 V B MAT/04
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
05917 - FINAL EXAMINATION 24.0 2 G E
Optional subjects II 6.0 C
Elective activities
Optional subjects credits Term Val. Area Scientific sector
17972 - THEORY OF CODES AND CRYPTOGRAPHY Details FALCONE (PA) 6.0 1 V C MAT/03
19862 - MATHEMATICS DIDACTICS AND TEACHING METHODOLOGY Details CERRONI (PO) 6.0 1 V
TEACHING METHODOLOGIES IN MATHEMATICS DIDACTICS DI PAOLA (PA) 3.0 C MAT/04
TEACHING METHODOLOGIES IN MATHEMATICS HISTORY CERRONI (PO) 3.0 C MAT/04
21942 - UNCERTAIN REASONING AND PROBABILITY Details SANFILIPPO (PO) 6.0 1 V C MAT/06
17971 - NON LINEAR ANALYSIS Details TULONE (RU) 6.0 2 V C MAT/05
01171 - NON-COMMUTATIVE ALGEBRA Details DI BARTOLO (RU) 6.0 2 V C MAT/02
05044 - MATHEMATICAL METHODS AND MODELS FOR APPLICATIONS Details SCIACCA (PO) 6.0 2 V C MAT/07
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
17972 - THEORY OF CODES AND CRYPTOGRAPHY Details FALCONE (PA) 6.0 1 V C MAT/03
19862 - MATHEMATICS DIDACTICS AND TEACHING METHODOLOGY Details CERRONI (PO) 6.0 1 V
TEACHING METHODOLOGIES IN MATHEMATICS DIDACTICS DI PAOLA (PA) 3.0 C MAT/04
TEACHING METHODOLOGIES IN MATHEMATICS HISTORY CERRONI (PO) 3.0 C MAT/04
21942 - UNCERTAIN REASONING AND PROBABILITY Details SANFILIPPO (PO) 6.0 1 V C MAT/06
17971 - NON LINEAR ANALYSIS Details TULONE (RU) 6.0 2 V C MAT/05
05044 - MATHEMATICAL METHODS AND MODELS FOR APPLICATIONS Details SCIACCA (PO) 6.0 2 V C MAT/07
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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