Mathematics

Portico
Master programme
A.Y. 2020/2021
LM-40 - Mathematics
Master programme
120
ECTS
Access
Open with entry requirements examination
2
Years
Course location
Milano
Language
Italian
International title
Double Degree
The main objective of the Master Degree Program in Mathematics is to furnish a solid foundation in the mathematical sciences, including the knowledge of the state of the art in at least one research area. The degree recipient will be able to comprehend future developments in the field.
The Master Degree in Mathematics enables employment in both the public and private sectors for positions which require the capacity for abstract reasoning, the formulation and/or modelling of concrete problems and their solution through the use of tools coming from the mathematical sciences.
Recipients of the Masters Degree in Mathematics find careers in: banks, insurance companies, polling and survey institutes, consulting and accrediting firms, software development companies, medical, biomedical and pharmacological institutes and companies, in the green economy, and in research and development divisions of large corporations, as well as transportation, telecommunication, and aerospace companies and in other high tech industries.
Recipients of the Masters Degree can also plan for a teaching career in the public school system, upon completion of the educational certification and selection process established by law.
Employment statistics (Almalaurea)

Candidates must have a scientific Bachelor's degree consistent with the study plan of the class-40 MDP, or an equivalent qualification obtained abroad. 

They must have a good basic knowledge of mathematics, physics and computer science. As a guideline, we have prepared a list of contents required for enrolment in the Master's degree programme in Mathematics. This list is available on the website:  http://files.ccdmat.unimi.it/modulo/formati/formati012171.rtf

Skills assessment 

To be admitted to the Master's degree programme in Mathematics, you will have to pre-apply from 10 March to 28 August 2020.

If you graduated from the Bachelor's degree programme in Mathematics of the University of Milan with at least 100/110, you will be exempted from the assessment of knowledge and curricular requirements.

Applications will be reviewed by a special Commission of the Mathematics Academic Board, which will meet at least twice a year. As a rule, applicants will have an interview with the Commission (an ID will be required).

Interview dates: 

June 18, 2020, 11.30 am, Mathematics Department, Board Room 

October 6, 2020, 11.30 am, Mathematics Department, Board Room 

November 12, 2020, 1.30 pm, Mathematics Department, Board Room 

February 9, 2021, 11.30 am, Mathematics Department, Board Room 

The Commission may decide:

a) to admit the applicant without any restrictions;

b) to admit the applicant with the requirement to include certain courses (possibly from a Bachelor's degree programme) in his/her study plan. Any requirements are included in the 120 CFU provided for by the programme and do not constitute an additional requirement for the applicant;

c) not to admit the applicant.

The Master of Science in Mathematics has long been committed to insert its educational activities in an international framework through integrated programs of study. We activated several international cooperation agreements with other universities in Europe and in the world (in Canada, South Africa and India).

The programs ALGANT, Master in Algebra, Geometry and Number Theory, and ECMI, Master in Industrial Mathematics, programs are unique in Europe for pure and industrial mathematics.
These programs are supported by international university consortia and are targeted to the conferment of academic value recognized abroad (that is double degrees) and to the promotion of European higher education. For more information see the institutional web pages

http://www.algant.eu/

http://www.ecmi-indmath.org/

Moreover, in the Erasmus program, we have exchange agreements with universities Austria, Britain, Czech Blind, Denmark , Finland, France, Germany, Holland , Norway, Polonia, Portugal, Romania, Slovenia, Spain, Sweden.
See the website http://users.unimi.it/erasmusmat/ for information collected on the various programs of internationalization and the activities carried out abroad.

Highly recommended, not mandatory

Courses list

Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 30 0 Italian
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Advanced Mathematical Statistics 9 78 Italian MAT/06
Advanced Probability 9 78 Italian MAT/06
Advanced Topics in Stochastics Calculus 6 47 Italian MAT/06
Algebraic Combinatorics 6 42 Italian MAT/02
Algebraic Topology 9 73 Italian MAT/03
Avanced Partial Differential Equations 6 42 Italian MAT/05
Biomathematics 2 6 52 Italian MAT/08
Category Theory 6 42 Italian MAT/01 MAT/02 MAT/03 MAT/04
Commutative Algebra 9 73 Italian MAT/02
Complex Manifolds 6 42 Italian MAT/03
Differential geometry (first part) 6 42 Italian MAT/03
Dynamical System 2 6 42 Italian MAT/07
Elementary Mathematics from an Advanced Standpoint 1 6 42 Italian MAT/04
Elements of Functional Analysis 6 42 Italian MAT/05
Foundations of Computer Science 1 6 42 Italian INF/01
Fourier Analysis 6 42 Italian MAT/05
Geometry 5 9 78 Italian MAT/03
Geometry of schemes 9 73 Italian MAT/03
Group Theory 6 42 Italian MAT/02
Hamiltonian Systems 1 9 73 Italian MAT/07
History and Teaching of Geometry (First Part) 6 47 Italian MAT/04
Mathematical Logic 1 9 63 Italian MAT/01
Mathematical Methods in Quantum Mechanics 6 42 Italian MAT/07
Numerical Methods for Partial Differential Equations 1 9 78 Italian MAT/08
Preparation of didactical experiences 1 6 52 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Real Analysis 9 73 Italian MAT/05
Representation theory 9 73 Italian MAT/02
Stochastic Control Optimization 6 47 Italian MAT/06
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Advanced Topics in Analytic Number Theory 6 42 English MAT/05
Advanced Topics in Real Analysis 6 42 Italian MAT/05
Algebra 4 6 60 Italian MAT/02
Algebraic Number Theory 9 73 Italian MAT/02
Algebraic Surfaces 6 42 Italian MAT/03
Automated Reasoning 6 52 Italian MAT/01
Calculus of Variations 6 42 Italian MAT/05
Celestial Mechanics 6 42 Italian MAT/07
Complex Analysis 9 73 Italian MAT/05
Complex geometry(first part) 6 42 Italian MAT/03
Constructive Approximation 6 60 Italian MAT/08
Dynamical Systems 1 6 42 Italian MAT/07
History and didactics of calculus (first part) 6 52 Italian MAT/04
History of Mathematics 1 6 42 Italian MAT/04
Homological Algebra 6 42 Italian MAT/02
Lie Groups 6 42 Italian MAT/03
Mathematical Logic 2 6 42 Italian MAT/01
Numerical Linear Algebra 6 60 English MAT/08
Numerical Methods for Partial Differential Equations 2 9 78 Italian MAT/08
Partial Differential Equations 6 42 Italian MAT/05
Point Processes and Random Sets 6 42 Italian MAT/06
Preparation of future teachers 2 6 52 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Relativity 1 9 78 Italian MAT/07
Scientific Computing 6 60 Italian MAT/08
Statistical Mechanics 6 42 Italian MAT/07
Stochastic Calculus and Applications 9 73 Italian MAT/06
Study plan rules
a1 - CHARACTERIZING ACTIVITIES: 57 ECTS
Students must obtain at least 18 ects in the sectors Mat/01-02-03-04-05, by choosing courses that appear in the following table 1A.
Courses or activities ECTS Total hours Language Lesson period SSD
Advanced Probability 9 78 Italian First semester MAT/06
Algebraic Topology 9 73 Italian First semester MAT/03
Commutative Algebra 9 73 Italian First semester MAT/02
Complex Manifolds 6 42 Italian First semester MAT/03
Differential geometry (first part) 6 42 Italian First semester MAT/03
Elements of Functional Analysis 6 42 Italian First semester MAT/05
Hamiltonian Systems 1 9 73 Italian First semester MAT/07
History and Teaching of Geometry (First Part) 6 47 Italian First semester MAT/04
Mathematical Logic 1 9 63 Italian First semester MAT/01
Mathematical Methods in Quantum Mechanics 6 42 Italian First semester MAT/07
Numerical Methods for Partial Differential Equations 1 9 78 Italian First semester MAT/08
Real Analysis 9 73 Italian First semester MAT/05
Representation theory 9 73 Italian First semester MAT/02
Algebraic Number Theory 9 73 Italian Second semester MAT/02
Complex Analysis 9 73 Italian Second semester MAT/05
Complex geometry(first part) 6 42 Italian Second semester MAT/03
Dynamical Systems 1 6 42 Italian Second semester MAT/07
History and didactics of calculus (first part) 6 52 Italian Second semester MAT/04
Numerical Methods for Partial Differential Equations 2 9 78 Italian Second semester MAT/08
Partial Differential Equations 6 42 Italian Second semester MAT/05
Relativity 1 9 78 Italian Second semester MAT/07
Stochastic Calculus and Applications 9 73 Italian Second semester MAT/06
a2 - Students must obtain at least 12 ects in the sectors Mat/01-02-03-04-05, by choosing courses that appear in the following table 2A.
Courses or activities ECTS Total hours Language Lesson period SSD
Advanced Mathematical Statistics 9 78 Italian First semester MAT/06
Advanced Topics in Stochastics Calculus 6 47 Italian First semester MAT/06
Algebraic Combinatorics 6 42 Italian First semester MAT/02
Avanced Partial Differential Equations 6 42 Italian First semester MAT/05
Biomathematics 2 6 52 Italian First semester MAT/08
Category Theory 6 42 Italian First semester MAT/01 MAT/02 MAT/03 MAT/04
Dynamical System 2 6 42 Italian First semester MAT/07
Elementary Mathematics from an Advanced Standpoint 1 6 42 Italian First semester MAT/04
Foundations of Computer Science 1 6 42 Italian First semester INF/01
Fourier Analysis 6 42 Italian First semester MAT/05
Geometry 5 9 78 Italian First semester MAT/03
Geometry of schemes 9 73 Italian First semester MAT/03
Group Theory 6 42 Italian First semester MAT/02
Preparation of didactical experiences 1 6 52 Italian First semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Stochastic Control Optimization 6 47 Italian First semester MAT/06
Advanced Topics in Analytic Number Theory 6 42 English Second semester MAT/05
Advanced Topics in Real Analysis 6 42 Italian Second semester MAT/05
Algebra 4 6 60 Italian Second semester MAT/02
Algebraic Surfaces 6 42 Italian Second semester MAT/03
Automated Reasoning 6 52 Italian Second semester MAT/01
Calculus of Variations 6 42 Italian Second semester MAT/05
Celestial Mechanics 6 42 Italian Second semester MAT/07
Constructive Approximation 6 60 Italian Second semester MAT/08
History of Mathematics 1 6 42 Italian Second semester MAT/04
Homological Algebra 6 42 Italian Second semester MAT/02
Lie Groups 6 42 Italian Second semester MAT/03
Mathematical Logic 2 6 42 Italian Second semester MAT/01
Numerical Linear Algebra 6 60 English Second semester MAT/08
Point Processes and Random Sets 6 42 Italian Second semester MAT/06
Preparation of future teachers 2 6 52 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Scientific Computing 6 60 Italian Second semester MAT/08
Statistical Mechanics 6 42 Italian Second semester MAT/07
a3 - Students must obtain at least 6 ects in the sectors Mat/06-07-08-09, by choosing courses that appear in Tables 1A and 2A.
a4 - Students must obtain the ects remaining to reach the total of 57 by choosing courses in any sector Mat/xx among those appearing in Tables 1A,2A,1B,2B,1C,2C.
a5 - COMPLEMENTARY ACTIVITIES: 12 ECTS
Students must take at least 12 ects in a sector different from Mat/xx, by inserting in their curriculum those courses that appear in Tables 1A,2A,1B,2B,1C,2C.
Students also have the opportunity to enter courses in sectors different from Mat/xx, as long as these sectors are included in the list in the "Ordinamento" del CDL degree in Mathematics, http://www.mat.unimi.it/users/ccd_mat/OrdinamentoMagistrale.pdf. The choice must be approved by the CDM.
Students also have the opportunity to replace the courses mentioned above with others in the sectors Mat/xx. The choice must be approved by the CDM.
a6 - ADDITIONAL TRAINING ACTIVITIES: 3 ECTS
Students must obtain 3 ects preparing a seminar on a topic assigned by a staff member chosen by the student or by participating in other activities such as those provided for curriculum C or by doing the exam of the course "Mathematical Modelling Laboratory"or through the "Criptovalute and Blockchain " activity (Contact Prof. Maggis) or the "Laboratory of mathematical methods and models in Python"(Contact Prof. Paleari); students can also obtain 3 ects through Laboratorio Didattico and Internship (please contact Prof. Turrini).
a7 - FREE CHOICE ECTS : students must take the missing ects to reach 90 ects, by following free choice courses.
The courses of the undergraduate programme which are not mandatory for all can be included in the study plan only among the free ects.
The courses of the undergraduate programme which are mandatory for all can only be assigned by the Admissions Committee.
Non ci sono propedeuticità.
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Advanced Mathematical Statistics 9 78 Italian MAT/06
Advanced Probability 9 78 Italian MAT/06
Advanced Topics in Financial Mathematics 6 42 Italian SECS-S/06
Advanced Topics in Stochastics Calculus 6 47 Italian MAT/06
Avanced Partial Differential Equations 6 42 Italian MAT/05
Biomathematics 2 6 52 Italian MAT/08
Cytology and histology 9 78 Italian BIO/06
Decision methods and models 6 48 English MAT/09
Dynamical System 2 6 42 Italian MAT/07
Ecology 9 80 Italian BIO/07
Elementary Mathematics from an Advanced Standpoint 1 6 42 Italian MAT/04
Elements of Functional Analysis 6 42 Italian MAT/05
Foundations of Computer Science 1 6 42 Italian INF/01
Fourier Analysis 6 42 Italian MAT/05
Genetics 9 80 English BIO/18
Geometry 5 9 78 Italian MAT/03
Hamiltonian Systems 1 9 73 Italian MAT/07
History and Teaching of Geometry (First Part) 6 47 Italian MAT/04
Mathematical Finance 1 9 73 English SECS-S/06
Mathematical Methods in Quantum Mechanics 6 42 Italian MAT/07
Numerical Methods for Partial Differential Equations 1 9 78 Italian MAT/08
Operational research complements 6 48 English MAT/09
Real Analysis 9 73 Italian MAT/05
Stochastic Control Optimization 6 47 Italian MAT/06
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Advanced Topics in Real Analysis 6 42 Italian MAT/05
Algebra 4 6 60 Italian MAT/02
Calculus of Variations 6 42 Italian MAT/05
Celestial Mechanics 6 42 Italian MAT/07
Complex Analysis 9 73 Italian MAT/05
Constructive Approximation 6 60 Italian MAT/08
Dynamical Systems 1 6 42 Italian MAT/07
General physiology and animal physiology 9 80 Italian BIO/09
History and didactics of calculus (first part) 6 52 Italian MAT/04
History of Mathematics 1 6 42 Italian MAT/04
Lie Groups 6 42 Italian MAT/03
Logistics 6 48 English MAT/09
Mathematical Finance 2 6 42 Italian SECS-S/06
Mathematical Modelling Laboratory 6 72 Italian MAT/06 MAT/07 MAT/08 MAT/09
Molecular biology and bioinformatics 12 96 Italian BIO/11
Numerical Linear Algebra 6 60 English MAT/08
Numerical Methods for Partial Differential Equations 2 9 78 Italian MAT/08
Operations research 6 48 Italian MAT/09
Partial Differential Equations 6 42 Italian MAT/05
Point Processes and Random Sets 6 42 Italian MAT/06
Relativity 1 9 78 Italian MAT/07
Scientific Computing 6 60 Italian MAT/08
Statistical Mechanics 6 42 Italian MAT/07
Stochastic Calculus and Applications 9 73 Italian MAT/06
Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 30 0 Italian
Study plan rules
b1 - CHARACTERIZING ACTIVITIES: 57 ECTS
Students must obtain at least 9 ects in the sectors Mat/01-02-03-04-05, by choosing courses that appear in the following table 1B.
Courses or activities ECTS Total hours Language Lesson period SSD
Advanced Mathematical Statistics 9 78 Italian First semester MAT/06
Advanced Probability 9 78 Italian First semester MAT/06
Elements of Functional Analysis 6 42 Italian First semester MAT/05
Hamiltonian Systems 1 9 73 Italian First semester MAT/07
History and Teaching of Geometry (First Part) 6 47 Italian First semester MAT/04
Mathematical Finance 1 9 73 English First semester SECS-S/06
Mathematical Methods in Quantum Mechanics 6 42 Italian First semester MAT/07
Numerical Methods for Partial Differential Equations 1 9 78 Italian First semester MAT/08
Real Analysis 9 73 Italian First semester MAT/05
Complex Analysis 9 73 Italian Second semester MAT/05
Dynamical Systems 1 6 42 Italian Second semester MAT/07
History and didactics of calculus (first part) 6 52 Italian Second semester MAT/04
Numerical Methods for Partial Differential Equations 2 9 78 Italian Second semester MAT/08
Partial Differential Equations 6 42 Italian Second semester MAT/05
Relativity 1 9 78 Italian Second semester MAT/07
Stochastic Calculus and Applications 9 73 Italian Second semester MAT/06
b2 - Students must obtain at least 6 ects in the sectors Mat/01-02-03-04-05, by choosing courses that appear in the following table 2B, or in the previous table 1B.
Courses or activities ECTS Total hours Language Lesson period SSD
Advanced Topics in Financial Mathematics 6 42 Italian First semester SECS-S/06
Advanced Topics in Stochastics Calculus 6 47 Italian First semester MAT/06
Avanced Partial Differential Equations 6 42 Italian First semester MAT/05
Biomathematics 2 6 52 Italian First semester MAT/08
Cytology and histology 9 78 Italian First semester BIO/06
Decision methods and models 6 48 English First semester MAT/09
Dynamical System 2 6 42 Italian First semester MAT/07
Ecology 9 80 Italian First semester BIO/07
Elementary Mathematics from an Advanced Standpoint 1 6 42 Italian First semester MAT/04
Foundations of Computer Science 1 6 42 Italian First semester INF/01
Fourier Analysis 6 42 Italian First semester MAT/05
Genetics 9 80 English First semester BIO/18
Geometry 5 9 78 Italian First semester MAT/03
Operational research complements 6 48 English First semester MAT/09
Stochastic Control Optimization 6 47 Italian First semester MAT/06
Advanced Topics in Real Analysis 6 42 Italian Second semester MAT/05
Algebra 4 6 60 Italian Second semester MAT/02
Calculus of Variations 6 42 Italian Second semester MAT/05
Celestial Mechanics 6 42 Italian Second semester MAT/07
Constructive Approximation 6 60 Italian Second semester MAT/08
General physiology and animal physiology 9 80 Italian Second semester BIO/09
History of Mathematics 1 6 42 Italian Second semester MAT/04
Lie Groups 6 42 Italian Second semester MAT/03
Logistics 6 48 English Second semester MAT/09
Mathematical Finance 2 6 42 Italian Second semester SECS-S/06
Mathematical Modelling Laboratory 6 72 Italian Second semester MAT/06 MAT/07 MAT/08 MAT/09
Molecular biology and bioinformatics 12 96 Italian Second semester BIO/11
Numerical Linear Algebra 6 60 English Second semester MAT/08
Operations research 6 48 Italian Second semester MAT/09
Point Processes and Random Sets 6 42 Italian Second semester MAT/06
Scientific Computing 6 60 Italian Second semester MAT/08
Statistical Mechanics 6 42 Italian Second semester MAT/07
b3 - Students must obtain at least 12 ects in the sectors Mat/06-07-08-09, by inserting in their curriculum courses that appear in Table 1B.
b4 - Students must obtain at least 12 ects in the sectors Mat/06-07-08-09, by choosing courses that appear in Table 2B.
b5 - Students must obtain the remaining ects for the achievement of 57 ects by choosing courses in any sector Mat/xx through the entries in Tables 1A,2A,1B,2B,1C,2C.
b6 - COMPLEMENTARY ACTIVITIES: 12 ECTS
Students must obtain at least 12 ects in a sector different from Mat/xx, by inserting in their curriculum those courses that appear in Tables 1A,2A,1B,2B,1C,2C.
Students also have the opportunity to enter courses in sectors different from Mat/xx, as long as these sectors are included in the list in the "Ordinamento" del CDL degree in Mathematics, http://www.mat.unimi.it/users/ccd_mat/OrdinamentoMagistrale.pdf. The choice must be approved by the CDM.
Students also have the opportunity to replace the courses mentioned above with others in the sectors Mat/xx. The choice must be approved by the CDM.
b7 - ADDITIONAL TRAINING ACTIVITIES: 3 ECTS
Students must obtain 3 ects by preparing a seminar on a topic assigned by a staff member chosen by the student or by partecipating in other activities such as those provided for curriculum C or by doing the exam of the course "Mathematical Modelling Laboratory" or through the "Criptovalute and Blockchain " activity (Contact Prof. Maggis) or the "Laboratory of mathematical methods and models in Python" (Contact Prof. Paleari); students can also obtain 3 ects through Laboratorio Didattico and Internship (please contact Prof. Turrini).
b8 - FREE CHOICE ECTS: students must take the missing ects to reach 90 ects, by following free choice courses.
The courses of the undergraduate programme which are not mandatory for all can be included in the study plan only among the free ects.
The courses of the undergraduate programme which are mandatory for all can only be assigned by the Admissions Committee.
Non ci sono propedeuticità.
Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 30 0 Italian
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Advanced Mathematical Statistics 9 78 Italian MAT/06
Advanced Probability 9 78 Italian MAT/06
Advanced Topics in Financial Mathematics 6 42 Italian SECS-S/06
Avanced Partial Differential Equations 6 42 Italian MAT/05
Biomathematics 2 6 52 Italian MAT/08
Decision methods and models 6 48 English MAT/09
Dynamical System 2 6 42 Italian MAT/07
Elements of Functional Analysis 6 42 Italian MAT/05
Fourier Analysis 6 42 Italian MAT/05
Geometry 5 9 78 Italian MAT/03
Hamiltonian Systems 1 9 73 Italian MAT/07
Mathematical Finance 1 9 73 English SECS-S/06
Mathematical Methods in Quantum Mechanics 6 42 Italian MAT/07
Numerical Methods for Partial Differential Equations 1 9 78 Italian MAT/08
Operational research complements 6 48 English MAT/09
Real Analysis 9 73 Italian MAT/05
Stochastic Control Optimization 6 47 Italian MAT/06
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Advanced Topics in Real Analysis 6 42 Italian MAT/05
Calculus of Variations 6 42 Italian MAT/05
Complex Analysis 9 73 Italian MAT/05
Constructive Approximation 6 60 Italian MAT/08
Dynamical Systems 1 6 42 Italian MAT/07
General physiology and animal physiology 9 80 Italian BIO/09
Logistics 6 48 English MAT/09
Mathematical Finance 2 6 42 Italian SECS-S/06
Numerical Linear Algebra 6 60 English MAT/08
Numerical Methods for Partial Differential Equations 2 9 78 Italian MAT/08
Operations research 6 48 Italian MAT/09
Partial Differential Equations 6 42 Italian MAT/05
Point Processes and Random Sets 6 42 Italian MAT/06
Relativity 1 9 78 Italian MAT/07
Scientific Computing 6 60 Italian MAT/08
Statistical Mechanics 6 42 Italian MAT/07
Stochastic Calculus and Applications 9 73 Italian MAT/06
Study plan rules
c1 - CHARACTERIZING ACTIVITIES: 45 ECTS
Students must obtain at least 15 ects in Mat/05 sector, 9 ects in Mat/06, 9 in Mat/08, by inserting in their curriculum those courses that appear in the table 1C below. If this is not possible for some SSD (eg. when the examination of some of these teachings had already been claimed during a previous undergraduate course) the student must include in his study plan all teachings remaining in table 1C (for that SSD) and, if necessary, add the teachings of that SSD to obtain the expected ects, choosing among those activated and shown in Table 2C.
Courses or activities ECTS Total hours Language Lesson period SSD
Advanced Mathematical Statistics 9 78 Italian First semester MAT/06
Elements of Functional Analysis 6 42 Italian First semester MAT/05
Hamiltonian Systems 1 9 73 Italian First semester MAT/07
Numerical Methods for Partial Differential Equations 1 9 78 Italian First semester MAT/08
Real Analysis 9 73 Italian First semester MAT/05
Dynamical Systems 1 6 42 Italian Second semester MAT/07
Numerical Methods for Partial Differential Equations 2 9 78 Italian Second semester MAT/08
Partial Differential Equations 6 42 Italian Second semester MAT/05
Stochastic Calculus and Applications 9 73 Italian Second semester MAT/06
c2 - Students must obtain at least 6 ects in the sectors mat/06-07-08-09, by inserting in their syllabus courses that appear in the table below 2C.
Courses or activities ECTS Total hours Language Lesson period SSD
Advanced Probability 9 78 Italian First semester MAT/06
Advanced Topics in Financial Mathematics 6 42 Italian First semester SECS-S/06
Avanced Partial Differential Equations 6 42 Italian First semester MAT/05
Biomathematics 2 6 52 Italian First semester MAT/08
Decision methods and models 6 48 English First semester MAT/09
Dynamical System 2 6 42 Italian First semester MAT/07
Fourier Analysis 6 42 Italian First semester MAT/05
Geometry 5 9 78 Italian First semester MAT/03
Mathematical Finance 1 9 73 English First semester SECS-S/06
Mathematical Methods in Quantum Mechanics 6 42 Italian First semester MAT/07
Operational research complements 6 48 English First semester MAT/09
Stochastic Control Optimization 6 47 Italian First semester MAT/06
Advanced Topics in Real Analysis 6 42 Italian Second semester MAT/05
Calculus of Variations 6 42 Italian Second semester MAT/05
Complex Analysis 9 73 Italian Second semester MAT/05
Constructive Approximation 6 60 Italian Second semester MAT/08
Logistics 6 48 English Second semester MAT/09
Mathematical Finance 2 6 42 Italian Second semester SECS-S/06
Numerical Linear Algebra 6 60 English Second semester MAT/08
Operations research 6 48 Italian Second semester MAT/09
Point Processes and Random Sets 6 42 Italian Second semester MAT/06
Relativity 1 9 78 Italian Second semester MAT/07
Scientific Computing 6 60 Italian Second semester MAT/08
Statistical Mechanics 6 42 Italian Second semester MAT/07
c3 - Students must obtain 45 ects by choosing courses in any sector mat/xx through the entries in Tables 1C,2C.
c4 - COMPLEMENTARY ACTIVITIES: 18 ECTS
Students must obtain at least 12 ects in a sector different from Mat/xx, by inserting in their curriculum those courses that appear in Tables 1A,2A,1B,2B,1C,2C.
Students also have the opportunity to enter courses in sectors different from Mat/xx , as long as these sectors are included in the list in the "Ordinamento" del CDL degree in Mathematics, http://www.mat.unimi.it/users/ccd_mat/OrdinamentoMagistrale.pdf . The choice must be approved by the CDM.
c5 - Students must obtain additional 6 ects in a section different from Mat/xx, by inserting in their curriculum courses that appear in Tables 1A,2A,1B,2B,1C,2C.
Students also have the opportunity to enter courses in sectors different from Mat/xx, as long as these sectors are included in the list on the "Ordinamento" del CDL degree in Mathematics, http://www.mat.unimi.it/users/ccd_mat/ordinamento.doc . The choice will be approved by the CDM.
Students also have the opportunity to replace the courses mentioned above with others in the sectors Mat/xx.
The choice must be approved by the CDM.
c6 - ADDITIONAL TRAINING ACTIVITIES: 12 ECTS
Students can obtain 12 ects through an internship/industrial training (6 ects) or by doing the exam of the course "Mathematical Modelling Laboratory" (6 ects) or through participation in the activities of the ECMI Modelling Week which are going to be held in San Pietroburgo (Russia) in the summer of 2020 (6 ects; for information please contact Prof. Causin.
Alternatively, they can be achieved by:
Activity "Criptovalute and Blockchain " (3 CFU), please contact Prof. Maggis or the "Laboratory of mathematical methods and models in Python ".
Algant students can acquire 3 ects after active participation to an Algant Summer School and / or by TER ( = Travaux de recherche et d' Actude ) certificate from a University which is an Algant French partner.
At most 3 CFU can also be acquired by preparing a seminar, on a topic assigned by a teacher or through the "Criptovalute and Blockchain " activity (Contact Prof. Maggis) or the "Laboratory of mathematical methods and models in Python" (Contact Prof. Paleari).
At most 3 ects can be acquired also preparing a seminar on a topic assigned by a teacher, as long as the topic concerns a theme or industrial application, students can obtain 3 ects through Laboratorio Didattico and Internship (please contact Prof. Turrini).
c7 - FREE CHOICE ECTS : students must take the missing ects to reach 90 ects, by following free choice courses.
The courses of the undergraduate programme which are not mandatory for all can be included in the study plan only among the free ects.
The courses of the undergraduate programme which are mandatory for all can only be assigned by the Admissions Committee.
Non ci sono propedeuticità.
Location
Milano
Head of study programme
Quality Assurance Delegate
Contacts
  • Docente responsabile ALGANT
    MAZZA Carlo
  • Docente responsabile Piano Lauree Scientifiche
    CAUSIN Paola
  • Docente responsabile ECMI
    CAUSIN Paola
  • secretariat of the course of study
    via Cesare Saldini 50
    segrccd.mat@unimi.it
    +390250316107
    09.30-11.30
  • Commissione Socrates-Erasmus
    GAETA Giuseppe (Presidente), CIRAOLO Giulio, GORI Anna, MATESSI Diego, SCACCHI Simone
  • Commissione Trasferimenti e Riconoscimento Titoli Esteri
    BIANCHI Mariagrazia (Presidente), ZAMPIERI Elena
  • Commissione Orientamento e Stage
    TORTORA Alfonso (Presidente), MAGGIS Marco, MASTROLIA Paolo, MICHELETTI Alessandra, NALDI Giovanni,PENATI Tiziano
  • Commissione Orario
    ZAMPIERI Elena (Presidente), MORALE Daniela
  • Commissione Ammissione alla Laurea Magistrale
    VIGNATI Marco (Presidente), ALZATI Alberto, BIANCHI Mariagrazia, SCACCHI Simone
  • Docenti responsabili Pagine Web e Sito Internet
    PALEARI Simone, TURRINI Cristina
  • Segreteria studenti
    CONTATTI
    https://www.unimi.it/it/node/359
    +390250325032
  • Segreteria studenti
    SEDI E ORARI
    https://www.unimi.it/it/node/360
  • Commissione Piani di studio laurea Magistrale
    COLOMBO Elisabetta (Presidente), FUHRMAN Marco, PALEARI Simone, PAYNE Kevin
  • Commissione Altre Attività e Conferimento Crediti
    SCACCHI Simone (Presidente), MOLTENI Giuseppe, TORTORA Alfonso
  • Commissione Organizzazione Lauree Magistrali
    CALANCHI Marta (Presidente), BERTOLINI Marina, LOVADINA Carlo

The tuition fees for students enrolled in Bachelor's, Master's and single-cycle degree programmes are divided into two instalments with different calculation methods and payment schedules:

  • The amount of the first instalment is the same for all students
  • The amount of the second instalment varies according to the ISEE University value, the degree programme and the student status (on track / off track for one year or off track for more than a year) 
  • An additional fee is due for online programmes

The University also offers:

  • Concessions for students meeting high merit requirements
  • Diversified tuition fees according to the student's home country for international students with assets/income abroad
  • Concessions for international students with refugee status

Scholarships and benefits

The University provides a range of financial benefits to students meeting special requirements (merit, financial or personal conditions, international students).

Learn more

Enrollment
First year enrolment:
Admission
Open with entry requirements examination

Admission

Application for admission: from 10/03/2020 to 28/08/2020

Application for matriculation: from 17/06/2020 to 15/01/2021