Degree course in Mathematics

Course Name
MATHEMATICS
Course Code
LM26
Class (Ministerial code)
LM-40
Website
Websitehttp://
Field(s) of study
ISCED Area 05 – Natural sciences, mathematics and statistics
Qualification award
Master Degree
Level of qualification according to the NQF and the EQF
EHEA Second cycle; EQF Level 7
Length of programme / number of credits
2 years / 120 ECTS
Language of Teaching
Italian/English
Mode of study
Blended
Didactic centre
Perugia - Dipartimento di Matematica e Informatica - Via Vanvitelli
Programme director
President Prof. Patrizia Pucci
Access to the course
open access with assessment of personal competencies
Available places
Specific 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.
Evaluation of specific subject knowledge on entry
Verification of the possession of the curricular requirements with the methods indicated in the academic regulation of the course of study. Foreign students are required to take a test to verify their proficiency of the Italian language, except Erasmus Incoming students, Exchange Students and students in mobility as per the Cooperation Agreement.
Profile of the programme
The programme provides development capacities within the scientific-technological-design disciplinary area. In particular, the programme is addressed not only to graduate students in Mathematics, but also to those in Physics, Computer Science, Engineering, Economics. It is divided into 4 curricula (Didactical – General, for Economics and Finance, for Cryptography, for Industrial and Biomedical Applications) that provide students with advanced specific knowledge in one or more fields of Mathematics or closely related to applications in other areas. In any case, all curricula provide institutional courses, aimed at expanding the Mathematical culture.
Programme learning outcomes
The main learning outcomes expected are: communication skills useful for teaching and communicating scientific thinking; abstraction and reasoning, useful for addressing the study of complex theoretical, applicative and interaction problems between Mathematics and other sciences. The 4 curricula (Didactical – General, for Economics and Finance, for Cryptography, for Industrial and Biomedical Applications) are structured in current topics of great interest.
Qualification requirements and regulations
Admission to the final test is possible if all the credits required by the study plan for training activities, other than the final test, are acquired. The final exam consists of an original thesis, of compiling or research type, written on a topic agreed with a teacher and evaluated by a Commission via public oral discussion. The composition of the thesis (also in English) can take place within an internship at companies, public or private corporations, or during periods of study at other universities.
Examination regulations and grading scale
The final tests may consist of one or more of the forms, indicated by the teachers responsible for the training activity: oral exam, written assignment, written or oral report on the activity carried out, test with open or closed questions, practical test on the computer.
Obligatory or optional mobility windows
The periods of study abroad, selected by individual students according to their needs and financed through selection tenders, last in general 3-10 months, up to a maximum of 12 months. An excellent opportunity for mobility is the double degree. For information see http://www.dmi.unipg.it/en/international-students/double-degree-master-programme-in-mathematics-university-of-perugia-unipg-italy-university-a-mickiewicz-uam-poland
Work-based learning
The internship of the master degree is a period of professional training carried out by the student to create moments of alternation between study and work within the training process and to facilitate future professional choices. It is equal to 6 ECTS = 150 hours. The programme in Mathematics provides two internship modalities: external, to be carried out at a private company or a public corporation; and internal, to be held in laboratories of the University of Perugia.
Occupational profiles of graduates
Among the possible employment opportunities stand out those in the school, IT, finance, engineering, health care, communication, research in private or public corporations and in universities and in all scientific environments where numerical and computational skills are useful.
UnitLanguageAnnoPeriodCFU
APPROXIMATION THEORY
Curriculum: Matematica per l'economia e la finanza
1II6
APPROXIMATION THEORY
Curriculum: Didattico-generale
Italian1II6
APPROXIMATION THEORY
Curriculum: Matematica per le applicazioni industriali e biomediche
1II9
COMBINATORICS
Curriculum: Didattico-generale
English1I6
COMMUTATIVE AND COMPUTATIONAL ALGEBRA
Curriculum: Didattico-generale
Italian1I6
COMMUTATIVE AND COMPUTATIONAL ALGEBRA
Curriculum: Matematica per la crittografia
1I9
COMPLEMENTARY MATHEMATICS AND MUSEOLOGY
Curriculum: Didattico-generale
1II6
COMPLEX ANALYSIS
Curriculum: Didattico-generale
Italian1II6
COMPUTER SCIENCE TEACHING
Curriculum: Didattico-generale
Italian1I6
CRYPTOGRAPHY AND APPLICATIONS
Curriculum: Matematica per la crittografia
English1whole year12
DIDACTIC LABORATORY OF PHYSICS
Curriculum: Didattico-generale
Italian1I6
DIDACTICS OF MATHEMATICS
Curriculum: Didattico-generale
1II6
DIFFERENTIAL EQUATIONS
Curriculum: Didattico-generale
1II6
DIFFERENTIAL GEOMETRY
In all curricula
1I9
FOURIER ANALYSIS
Curriculum: Matematica per l'economia e la finanza
1I9
FOURIER ANALYSIS
Curriculum: Matematica per le applicazioni industriali e biomediche
1I9
FUNCTIONAL ANALYSIS
In all curricula
1II9
FUNCTIONAL PROGRAMMING
Curriculum: Matematica per la crittografia
English1I6
GEOMETRIC ARTIFACTS FOR DIDACTICS
Curriculum: Didattico-generale
Italian1I6
GEOMETRIC METHODS IN THE THEORY OF RELATIVITY
Curriculum: Didattico-generale
1I6
HISTORY OF MATHEMATICS I
Curriculum: Didattico-generale
1I6
MATHEMATICAL FINANCE
Curriculum: Didattico-generale
English1II6
MATHEMATICAL METHODS FOR ECONOMICS
Curriculum: Didattico-generale
English1I6
MATHEMATICAL MODELS AND METHODS
Curriculum: Didattico-generale
1I6
MATHEMATICAL MODELS FOR APPLICATIONS
Curriculum: Didattico-generale
Italian1I6
MATHEMATICAL MODELS FOR APPLICATIONS
Curriculum: Matematica per l'economia e la finanza
1I6
MATHEMATICAL PHYSICS II
Curriculum: Didattico-generale
English1II6
MEDICAL IMAGING ALGORITHMS
Curriculum: Matematica per le applicazioni industriali e biomediche
Italian1II6
MODERN ANALYSIS
Curriculum: Didattico-generale
1I6
MODERN PHYSICS AND ITS TEACHING
Curriculum: Didattico-generale
1I6
NUMERICAL APPROXIMATION AND APPLICATIONS
Curriculum: Matematica per l'economia e la finanza
1I6
NUMERICAL APPROXIMATION AND APPLICATIONS
Curriculum: Didattico-generale
Italian1I6
NUMERICAL MODELS
Curriculum: Didattico-generale
1I6
NUMERICAL MODELS
Curriculum: Matematica per l'economia e la finanza
1I6
NUMERICAL MODELS
Curriculum: Matematica per le applicazioni industriali e biomediche
1I6
OPTIMIZATION METHODS
Curriculum: Didattico-generale
Italian1II6
OPTIONAL SUBJECT
Curriculum: Matematica per le applicazioni industriali e biomediche
Italian1II6
OPTIONAL SUBJECT
Curriculum: Didattico-generale
Italian1II6
OPTIONAL SUBJECT
Curriculum: Matematica per l'economia e la finanza
Italian1II6
OPTIONAL SUBJECT
Curriculum: Matematica per la crittografia
Italian1II6
PROBABILITY AND STATISTICS II
Curriculum: Matematica per l'economia e la finanza
Italian1whole year9
PROBABILITY AND STATISTICS II
Curriculum: Matematica per la crittografia
Italian1whole year9
PROBABILITY AND STATISTICS II - MATHEMATICAL STATISTICS
Curriculum: Matematica per le applicazioni industriali e biomediche
Italian1II6
PROBABILITY AND STATISTICS II - MATHEMATICAL STATISTICS
Curriculum: Didattico-generale
Italian1II6
STOCHASTIC PROCESS AND STOCHASTIC DIFFERENTIAL EQUATIONS
Curriculum: Matematica per l'economia e la finanza
Italian1II6
TOPOLOGY I
Curriculum: Didattico-generale
1II6
ADDITIONAL EDUCATIONAL ACTIVITIES
Curriculum: Matematica per la crittografia
2II6
ADDITIONAL EDUCATIONAL ACTIVITIES
Curriculum: Matematica per le applicazioni industriali e biomediche
2II6
ADDITIONAL EDUCATIONAL ACTIVITIES
Curriculum: Didattico-generale
2II6
ADDITIONAL EDUCATIONAL ACTIVITIES
Curriculum: Matematica per l'economia e la finanza
2II6
ALGEBRAIC GEOMETRY
Curriculum: Matematica per la crittografia
2I6
ALGEBRICAL GEOMETRY
Curriculum: Didattico-generale
Italian2I9
APPLIED FUNCTIONAL ANALYSIS
Curriculum: Didattico-generale
2I9
APPLIED FUNCTIONL ANALYSIS
Curriculum: Matematica per l'economia e la finanza
2I6
APPLIED IMAGE AND SIGNAL PROCESSING
Curriculum: Matematica per le applicazioni industriali e biomediche
English2II6
COMBINATORICS
Curriculum: Didattico-generale
English2I6
COMBINATORICS
Curriculum: Matematica per la crittografia
English2I6
COMMUTATIVE AND COMPUTATIONAL ALGEBRA
Curriculum: Matematica per l'economia e la finanza
2I6
COMPUTABILITY AND COMPLEXITY
Curriculum: Matematica per la crittografia
English2II6
CYBERSECURITY
Curriculum: Matematica per la crittografia
English2II6
DIDACTIC LABORATORY OF PHYSICS
Curriculum: Didattico-generale
Italian2I6
FINAL EXAM
Curriculum: Matematica per la crittografia
2II24
FINAL EXAM
Curriculum: Matematica per le applicazioni industriali e biomediche
2II24
FINAL EXAM
Curriculum: Matematica per l'economia e la finanza
2II24
FINAL EXAM
Curriculum: Didattico-generale
2II24
GEOMETRIC ARTIFACTS FOR DIDACTICS
Curriculum: Didattico-generale
Italian2I6
GEOMETRIC METHODS IN THE THEORY OF RELATIVITY
Curriculum: Didattico-generale
2I6
HISTORY OF MATHEMATICS I
Curriculum: Didattico-generale
2I6
MATHEMATICAL FINANCE
Curriculum: Matematica per l'economia e la finanza
English2II6
MATHEMATICAL METHODS FOR ECONOMICS
Curriculum: Matematica per l'economia e la finanza
English2I6
MATHEMATICAL METHODS FOR ECONOMICS
Curriculum: Didattico-generale
English2I6
MATHEMATICAL MODELS AND METHODS
Curriculum: Didattico-generale
2I6
MATHEMATICAL MODELS FOR APPLICATIONS
Curriculum: Matematica per le applicazioni industriali e biomediche
2I6
MATHEMATICAL MODELS FOR APPLICATIONS
Curriculum: Matematica per la crittografia
2I6
MATHEMATICAL MODELS FOR APPLICATIONS
Curriculum: Didattico-generale
Italian2I6
MEDICAL IMAGING
Curriculum: Matematica per le applicazioni industriali e biomediche
2I6
MODERN ANALYSIS
Curriculum: Didattico-generale
2I6
MODERN PHYSICS
Curriculum: Didattico-generale
English2I6
NUMERICAL APPROXIMATION AND APPLICATIONS
Curriculum: Matematica per le applicazioni industriali e biomediche
Italian2I6
NUMERICAL APPROXIMATION AND APPLICATIONS
Curriculum: Didattico-generale
Italian2I6
NUMERICAL APPROXIMATION AND APPLICATIONS
Curriculum: Matematica per la crittografia
2I6
NUMERICAL MODELS
Curriculum: Didattico-generale
2I6
NUMERICAL MODELS FOR APPLICATIONS
Curriculum: Matematica per la crittografia
Italian2I6
OPTIONAL SUBJECT
Curriculum: Matematica per l'economia e la finanza
Italian2I6
OPTIONAL SUBJECT
Curriculum: Matematica per le applicazioni industriali e biomediche
Italian2I6
OPTIONAL SUBJECT
Curriculum: Matematica per la crittografia
Italian2I6
OPTIONAL SUBJECT
Curriculum: Didattico-generale
Italian2I6
PLS TUTORING
Curriculum: Didattico-generale
Italian2I6

Free-choice training activities

UnitPeriodCFU
Group INSEGNAMENTI A SCELTA CONSIGLIATI
CFU (University training credits) required: Min6 - Max10
Group DUE A SCELTA GRUPPO A I ANNO
CFU (University training credits) required: 12
Group DUE A SCELTA GRUPPO B I ANNO
CFU (University training credits) required: 12
Group UNA SCELTA GRUPPO A II ANNO
CFU (University training credits) required: 6
Group SCELTA LIBERA 6 CFU II ANNO
CFU (University training credits) required: Min6 - Max10
Group INSEGNAMENTI A SCELTA LIBERA
CFU (University training credits) required: Min6 - Max10
Group UNA SCELTA TRA DUE II ANNO
CFU (University training credits) required: 6
Group 6 CFU A SCELTA TRA AFFINI INTEGRATIVE
CFU (University training credits) required: 6
Group SCELTA LIBERA 6 CFU II ANNO
CFU (University training credits) required: Min6 - Max10
Group INSEGNAMENTI A SCELTA CONSIGLIATI
CFU (University training credits) required: Min6 - Max10
Group UNO A SCELTA TRA 2 A II ANNO
CFU (University training credits) required: 6
Group UNO A SCELTA TRA 2 B II ANNO
CFU (University training credits) required: 6
Group SCELTA LIBERA 6 CFU II ANNO
CFU (University training credits) required: Min6 - Max10
Group SCELTA LIBERA 6 CFU II ANNO
CFU (University training credits) required: Min6 - Max10
Group INSEGNAMENTI A SCELTA CONSIGLIATI
CFU (University training credits) required: Min6 - Max10
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