Mathematics (master programme)
In-person programme
Mathematics (master programme)
Course sheet
A.Y. 2026/2027
Master programme
LM-40 R - Matematica
The core objectives of the Master's degree in Mathematics are:
- to provide a solid and in-depth mathematical understanding, allowing students to specialise in a branch of mathematics and to get acquainted with some of its latest developments;
- to equip students with the mathematical tools necessary for contextualising, analysing and solving complex theoretical as well as practical problems, including problems related to other scientific fields;
- to provide students with an adequate knowledge base to build upon, allowing them to assimilate future advancements in the field of mathematics.
- to provide a solid and in-depth mathematical understanding, allowing students to specialise in a branch of mathematics and to get acquainted with some of its latest developments;
- to equip students with the mathematical tools necessary for contextualising, analysing and solving complex theoretical as well as practical problems, including problems related to other scientific fields;
- to provide students with an adequate knowledge base to build upon, allowing them to assimilate future advancements in the field of mathematics.
For the Master's degree in Mathematics there are two graduate profiles: MATHEMATICIAN and APPLIED MATHEMATICIAN.
MATHEMATICIAN
Job function
Typical job functions for this profile include: analysing phenomena that require a high degree of abstraction and logical rigour; managing and analysing large amounts of complex data; personnel training; disseminating knowledge about STEM subjects (with different degrees of details).
Professional skills
This graduate profile shows a remarkable aptitude for abstract reasoning and logical rigour and is able to use mathematical models, also in innovative ways, to solve the above-mentioned problems. This translates into strong problem-solving skills applicable to a wide range of scientific as well as socio-cultural situations.
Graduates falling under this profile have a solid grounding in mathematical modelling and computational mathematics, as well as advanced theoretical knowledge in at least one of the following fields: mathematical logic, algebra, geometry, didactics of mathematics, mathematical analysis.
Career opportunities
Typical career prospects for this graduate profile include high-level roles in private and public organisations, particularly:
- banks and financial companies
- insurance companies
- universities and other research institutions
- consulting firms
- the aerospace industry.
Graduates who have earned enough credits in certain subject areas, as provided for by the laws in force, may take admission tests for training courses for secondary school teaching.
APPLIED MATHEMATICIAN
Job function
Typical job functions for this profile include: analysing any phenomena (in the field of physics, biology, medicine, etc.) whose understanding requires accurate mathematical modelling; managing and analysing large amounts of complex data; using sophisticated scientific and management software programmes in business settings; disseminating knowledge about STEM subjects (with different degrees of details).
Professional skills
This graduate profile shows a remarkable aptitude for the formalisation and modelling of real-life problems, including highly complex ones, and is able to use mathematical models, also in innovative ways, to solve these problems. This translates into strong problem-solving skills applicable to a wide range of scientific as well as socio-cultural situations.
Graduates falling under this profile have a solid grounding in theoretical mathematics, as well as advanced knowledge of mathematical modelling and computational mathematics in at least one of the following fields: mathematical probability and statistics, mathematical physics, numerical analysis.
Career opportunities
Typical career prospects for this graduate profile include high-level roles in private and public organisations, particularly:
- banks and financial companies
- insurance companies
- universities and other research institutions
- survey institutes
- software development companies
- the aerospace industry.
Graduates who have earned enough credits in certain subject areas, as provided for by the laws in force, may take admission tests for training courses for secondary school teaching.
Employment statistics (Almalaurea)
MATHEMATICIAN
Job function
Typical job functions for this profile include: analysing phenomena that require a high degree of abstraction and logical rigour; managing and analysing large amounts of complex data; personnel training; disseminating knowledge about STEM subjects (with different degrees of details).
Professional skills
This graduate profile shows a remarkable aptitude for abstract reasoning and logical rigour and is able to use mathematical models, also in innovative ways, to solve the above-mentioned problems. This translates into strong problem-solving skills applicable to a wide range of scientific as well as socio-cultural situations.
Graduates falling under this profile have a solid grounding in mathematical modelling and computational mathematics, as well as advanced theoretical knowledge in at least one of the following fields: mathematical logic, algebra, geometry, didactics of mathematics, mathematical analysis.
Career opportunities
Typical career prospects for this graduate profile include high-level roles in private and public organisations, particularly:
- banks and financial companies
- insurance companies
- universities and other research institutions
- consulting firms
- the aerospace industry.
Graduates who have earned enough credits in certain subject areas, as provided for by the laws in force, may take admission tests for training courses for secondary school teaching.
APPLIED MATHEMATICIAN
Job function
Typical job functions for this profile include: analysing any phenomena (in the field of physics, biology, medicine, etc.) whose understanding requires accurate mathematical modelling; managing and analysing large amounts of complex data; using sophisticated scientific and management software programmes in business settings; disseminating knowledge about STEM subjects (with different degrees of details).
Professional skills
This graduate profile shows a remarkable aptitude for the formalisation and modelling of real-life problems, including highly complex ones, and is able to use mathematical models, also in innovative ways, to solve these problems. This translates into strong problem-solving skills applicable to a wide range of scientific as well as socio-cultural situations.
Graduates falling under this profile have a solid grounding in theoretical mathematics, as well as advanced knowledge of mathematical modelling and computational mathematics in at least one of the following fields: mathematical probability and statistics, mathematical physics, numerical analysis.
Career opportunities
Typical career prospects for this graduate profile include high-level roles in private and public organisations, particularly:
- banks and financial companies
- insurance companies
- universities and other research institutions
- survey institutes
- software development companies
- the aerospace industry.
Graduates who have earned enough credits in certain subject areas, as provided for by the laws in force, may take admission tests for training courses for secondary school teaching.
Employment statistics (Almalaurea)
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, Czech Republic, Denmark, Finland, France, Germany, Holland, Norway, Poland, 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.
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, Czech Republic, Denmark, Finland, France, Germany, Holland, Norway, Poland, 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.
Attendance is strongly recommended for each course.
Enrolment
Admission assessment:
Candidates are required to submit a specific application for admission to the Master's degree programme in Mathematics (see the link: https://www.unimi.it/en/study/bachelor-and-master-study/degree-programme-enrolment/enrolment-masters-programme/open-admission-master-programmes).
We discourage students who, as of 9 September 2026, fall short of the 180 credit (CFU) requirement for earning a Bachelor's degree by more than 40 CFU, from applying for admission.
Those who graduated from the Bachelor's degree programme in Mathematics of the University of Milan with at least 95/110 will be waived from the knowledge and curricular assessment requirement.
Applications will be reviewed by a special commission of the Mathematics Academic Board, which will meet at least twice a year. The commission may consider only the documents submitted by applicants, though as a rule it will also interview them. Interviewees must show a photo ID.
Interview dates:
19 May 2026: session reserved for non-EU students requesting visas (electronically)
16 June 2026 (possibly online)
15 September 2026 (possibly online)
11 November 2026 (possibly online)
11 January 2027 (possibly online)
The time will be announced later on.
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 within 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.
Candidates are required to submit a specific application for admission to the Master's degree programme in Mathematics (see the link: https://www.unimi.it/en/study/bachelor-and-master-study/degree-programme-enrolment/enrolment-masters-programme/open-admission-master-programmes).
We discourage students who, as of 9 September 2026, fall short of the 180 credit (CFU) requirement for earning a Bachelor's degree by more than 40 CFU, from applying for admission.
Those who graduated from the Bachelor's degree programme in Mathematics of the University of Milan with at least 95/110 will be waived from the knowledge and curricular assessment requirement.
Applications will be reviewed by a special commission of the Mathematics Academic Board, which will meet at least twice a year. The commission may consider only the documents submitted by applicants, though as a rule it will also interview them. Interviewees must show a photo ID.
Interview dates:
19 May 2026: session reserved for non-EU students requesting visas (electronically)
16 June 2026 (possibly online)
15 September 2026 (possibly online)
11 November 2026 (possibly online)
11 January 2027 (possibly online)
The time will be announced later on.
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 within 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.
Enrolment
Application for admission: from 22/01/2026 to 25/08/2026
Application for enrolment: from 05/05/2026 to 15/01/2027
Attachments and documents
Non-EU students visa applicants are required to apply for admission no later than 30 April 2026.
Online services
Learn more:
Programme description and courses list
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| English Proficiency B2 (3 ECTS) | 3 | 0 | English | NN |
be activated by the A.Y. 2027/2028
Conclusive activities
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Final Exam | 27 | 0 | Italian | NN |
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Advanced Mathematical Statistics | 9 | 78 | Italian | MATH-03/B |
| Advanced Partial Differential Equations | 6 | 42 | Italian | MATH-03/A |
| Advanced Probability | 9 | 78 | Italian | MATH-03/B |
| Advanced Topics in Complex Analysis | 6 | 42 | Italian | MATH-03/A |
| Algebraic and Categorical Logic | 6 | 42 | Italian | MATH-01/A |
| Algebraic Combinatorics | 6 | 42 | Italian | MATH-02/A |
| Algebraic Topology | 6 | 47 | Italian | MATH-02/B |
| Biomathematics 2 | 6 | 52 | Italian | MATH-03/B MATH-05/A |
| Biomathematics 3 | 6 | 42 | Italian | MATH-04/A |
| Categorical Dualities in Logic and Algebra | 6 | 42 | Italian | MATH-01/A |
| Category Theory | 9 | 73 | Italian | MATH-02/A |
| Category Theory | 6 | 47 | Italian | MATH-02/A |
| Commutative Algebra | 6 | 42 | Italian | MATH-02/A |
| Complex Manifolds | 6 | 47 | Italian | MATH-02/B |
| Complex Manifolds | 9 | 73 | Italian | MATH-02/B |
| Computability and Computational Complexity | 6 | 42 | Italian | INFO-01/A |
| Didactics of Infinitesimal Calculus | 6 | 42 | Italian | MATH-01/B |
| Didactics of Mathematic | 6 | 47 | Italian | MATH-01/B |
| Didactics of Mathematic | 9 | 73 | Italian | MATH-01/B |
| Differential Geometry | 6 | 42 | Italian | MATH-02/B |
| Dynamical System 2 | 6 | 42 | Italian | MATH-04/A |
| Elementary Mathematics from an Advanced Standpoint 1 | 6 | 42 | Italian | MATH-01/B |
| Evolutionary Partial Differential Equations | 6 | 42 | Italian | MATH-03/A |
| Fourier Analysis | 6 | 42 | Italian | MATH-03/A |
| Functional Analysis | 6 | 42 | Italian | MATH-03/A |
| Geometry 5 | 6 | 60 | Italian | MATH-02/B |
| Geometry 5 | 9 | 78 | Italian | MATH-02/B |
| Geometry of Schemes | 6 | 47 | Italian | MATH-02/B |
| Geometry of Schemes | 9 | 73 | Italian | MATH-02/B |
| Hamiltonian System 1 | 9 | 73 | Italian | MATH-04/A |
| Hamiltonian System 1 | 6 | 47 | Italian | MATH-04/A |
| Higher Geometry 2 | 6 | 52 | Italian | MATH-02/B |
| Mathematical Logic 1 | 6 | 47 | Italian | MATH-01/A |
| Mathematical Logic 1 | 9 | 73 | Italian | MATH-01/A |
| Mathematical Methods in Quantum Mechanics | 6 | 42 | Italian | MATH-04/A |
| Numerical Methods for Partial Differential Equations 1 | 9 | 78 | Italian | MATH-05/A |
| Optimal Transport and Applications. | 6 | 42 | Italian | MATH-03/A |
| Preparation of Didactical Experiences 1 | 6 | 52 | Italian | PHYS-06/B |
| Projective Algebraic Geometry | 6 | 47 | Italian | MATH-02/B |
| Real Analysis | 6 | 42 | Italian | MATH-03/A |
| Representation Theory | 6 | 42 | Italian | MATH-02/A |
| Scientific Computing | 6 | 60 | Italian | MATH-05/A |
| Stochastic Control Optimization | 6 | 47 | Italian | MATH-03/B |
Second semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Advanced Topics in Analytic Number Theory | 6 | 42 | Italian | MATH-03/A |
| Advanced Topics in Calculus of Variations | 6 | 42 | Italian | MATH-03/A |
| Advanced Topics in Probability Theory | 6 | 47 | Italian | MATH-03/B |
| Algebra 4 | 9 | 78 | Italian | MATH-02/A |
| Algebra 4 | 6 | 60 | Italian | MATH-02/A |
| Algebraic Number Theory | 6 | 42 | Italian | MATH-02/A |
| Algebraic Surfaces | 6 | 42 | Italian | MATH-02/B |
| Arithmetic Geometry | 6 | 42 | Italian | MATH-02/A MATH-02/B |
| Automated Reasoning | 6 | 52 | Italian | MATH-01/A |
| Calculus of Variations | 6 | 42 | Italian | MATH-03/A |
| Complex Analysis | 9 | 73 | Italian | MATH-03/A |
| Complex Analysis | 6 | 47 | Italian | MATH-03/A |
| Complex Geometry | 6 | 42 | Italian | MATH-02/B |
| Constructive Approximation | 6 | 60 | Italian | MATH-05/A |
| Didactics of Geometry | 6 | 52 | Italian | MATH-01/B |
| Differential Topology | 6 | 42 | Italian | MATH-02/B |
| Dynamical Systems 1 | 6 | 42 | Italian | MATH-04/A |
| Epistemology of the Mathematical Processes | 6 | 42 | Italian | MATH-01/A MATH-01/B |
| Foundations of Mathematics I | 6 | 42 | Italian | MATH-01/B |
| History of Mathematics 1 | 6 | 42 | Italian | MATH-01/B |
| Homological Algebra | 6 | 42 | Italian | MATH-02/A |
| Laboratory of Mathematical Methods and Models in Python | 3 | 30 | Italian | NN |
| Lie Groups | 6 | 42 | Italian | MATH-02/B |
| Mathematical Analysis 5 | 6 | 60 | Italian | MATH-03/A |
| Mathematical Fluid-Mechanics | 6 | 42 | Italian | MATH-04/A |
| Mathematical Logic 2 | 6 | 42 | Italian | MATH-01/A |
| Numerical Linear Algebra | 6 | 60 | English | MATH-05/A |
| Numerical Methods for Partial Differential Equations 2 | 9 | 78 | Italian | MATH-05/A |
| Operating Systems and Computer Networks | 6 | 47 | Italian | INFO-01/A |
| Partial Differential Equations | 6 | 42 | Italian | MATH-03/A |
| Partial Differential Equations | 9 | 73 | Italian | MATH-03/A |
| Point Processes and Random Sets | 6 | 47 | Italian | MATH-03/B |
| Preparation of Future Teachers 2 | 6 | 52 | Italian | PHYS-06/B |
| Relativity 1 | 9 | 78 | Italian | MATH-04/A |
| Relativity 1 | 6 | 52 | Italian | MATH-04/A |
| Riemannian Geometry | 6 | 42 | Italian | MATH-02/B |
| Stochastic Calculus and Applications | 9 | 88 | Italian | MATH-03/B |
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Financial Technologies | 3 | 20 | Italian | NN |
| Laboratory of Education and Public Engagement | 3 | 0 | Italian | NN |
| Supplementary Seminar in an Advanced Mathematics Area | 3 | 0 | Italian | NN |
Optional activities and study plan rules
a1 - CHARACTERIZING ACTIVITIES: 45 ECTS
Students must obtain at least 18 ects in the sectors Math-01/A-01/B-02/A-02/B-03/A, by choosing courses that appear in the following table 1A.
Students must obtain at least 18 ects in the sectors Math-01/A-01/B-02/A-02/B-03/A, by choosing courses that appear in the following table 1A.
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Advanced Probability | 9 | 78 | Italian | First semester | MATH-03/B |
| Algebraic Number Theory | 6 | 42 | Italian | Second semester | MATH-02/A |
| Algebraic Topology | 6 | 47 | Italian | First semester | MATH-02/B |
| Commutative Algebra | 6 | 42 | Italian | First semester | MATH-02/A |
| Complex Analysis | 6 | 47 | Italian | Second semester | MATH-03/A |
| Complex Analysis | 9 | 73 | Italian | Second semester | MATH-03/A |
| Complex Geometry | 6 | 42 | Italian | Second semester | MATH-02/B |
| Complex Manifolds | 9 | 73 | Italian | First semester | MATH-02/B |
| Complex Manifolds | 6 | 47 | Italian | First semester | MATH-02/B |
| Didactics of Geometry | 6 | 52 | Italian | Second semester | MATH-01/B |
| Didactics of Infinitesimal Calculus | 6 | 42 | Italian | First semester | MATH-01/B |
| Differential Geometry | 6 | 42 | Italian | First semester | MATH-02/B |
| Dynamical Systems 1 | 6 | 42 | Italian | Second semester | MATH-04/A |
| Functional Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Hamiltonian System 1 | 6 | 47 | Italian | First semester | MATH-04/A |
| Hamiltonian System 1 | 9 | 73 | Italian | First semester | MATH-04/A |
| Mathematical Logic 1 | 6 | 47 | Italian | First semester | MATH-01/A |
| Mathematical Logic 1 | 9 | 73 | Italian | First semester | MATH-01/A |
| Mathematical Logic 2 | 6 | 42 | Italian | Second semester | MATH-01/A |
| Mathematical Methods in Quantum Mechanics | 6 | 42 | Italian | First semester | MATH-04/A |
| Numerical Methods for Partial Differential Equations 1 | 9 | 78 | Italian | First semester | MATH-05/A |
| Numerical Methods for Partial Differential Equations 2 | 9 | 78 | Italian | Second semester | MATH-05/A |
| Partial Differential Equations | 9 | 73 | Italian | Second semester | MATH-03/A |
| Partial Differential Equations | 6 | 42 | Italian | Second semester | MATH-03/A |
| Real Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Relativity 1 | 6 | 52 | Italian | Second semester | MATH-04/A |
| Relativity 1 | 9 | 78 | Italian | Second semester | MATH-04/A |
| Representation Theory | 6 | 42 | Italian | First semester | MATH-02/A |
| Stochastic Calculus and Applications | 9 | 88 | Italian | Second semester | MATH-03/B |
a2 - Students must obtain at least 12 ects in the sectors Math-01/A-01/B-02/A-02/B-03/A, by choosing courses that appear in the following table 2A
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Advanced Mathematical Statistics | 9 | 78 | Italian | First semester | MATH-03/B |
| Advanced Partial Differential Equations | 6 | 42 | Italian | First semester | MATH-03/A |
| Advanced Topics in Analytic Number Theory | 6 | 42 | Italian | Second semester | MATH-03/A |
| Advanced Topics in Calculus of Variations | 6 | 42 | Italian | Second semester | MATH-03/A |
| Advanced Topics in Complex Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Advanced Topics in Probability Theory | 6 | 47 | Italian | Second semester | MATH-03/B |
| Algebra 4 | 6 | 60 | Italian | Second semester | MATH-02/A |
| Algebra 4 | 9 | 78 | Italian | Second semester | MATH-02/A |
| Algebraic and Categorical Logic | 6 | 42 | Italian | First semester | MATH-01/A |
| Algebraic Combinatorics | 6 | 42 | Italian | First semester | MATH-02/A |
| Algebraic Surfaces | 6 | 42 | Italian | Second semester | MATH-02/B |
| Arithmetic Geometry | 6 | 42 | Italian | Second semester | MATH-02/A MATH-02/B |
| Automated Reasoning | 6 | 52 | Italian | Second semester | MATH-01/A |
| Biomathematics 2 | 6 | 52 | Italian | First semester | MATH-03/B MATH-05/A |
| Biomathematics 3 | 6 | 42 | Italian | First semester | MATH-04/A |
| Calculus of Variations | 6 | 42 | Italian | Second semester | MATH-03/A |
| Categorical Dualities in Logic and Algebra | 6 | 42 | Italian | First semester | MATH-01/A |
| Category Theory | 6 | 47 | Italian | First semester | MATH-02/A |
| Category Theory | 9 | 73 | Italian | First semester | MATH-02/A |
| Computability and Computational Complexity | 6 | 42 | Italian | First semester | INFO-01/A |
| Constructive Approximation | 6 | 60 | Italian | Second semester | MATH-05/A |
| Didactics of Mathematic | 9 | 73 | Italian | First semester | MATH-01/B |
| Didactics of Mathematic | 6 | 47 | Italian | First semester | MATH-01/B |
| Differential Topology | 6 | 42 | Italian | Second semester | MATH-02/B |
| Dynamical System 2 | 6 | 42 | Italian | First semester | MATH-04/A |
| Elementary Mathematics from an Advanced Standpoint 1 | 6 | 42 | Italian | First semester | MATH-01/B |
| Epistemology of the Mathematical Processes | 6 | 42 | Italian | Second semester | MATH-01/A MATH-01/B |
| Evolutionary Partial Differential Equations | 6 | 42 | Italian | First semester | MATH-03/A |
| Foundations of Mathematics I | 6 | 42 | Italian | Second semester | MATH-01/B |
| Fourier Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Geometry 5 | 6 | 60 | Italian | First semester | MATH-02/B |
| Geometry 5 | 9 | 78 | Italian | First semester | MATH-02/B |
| Geometry of Schemes | 9 | 73 | Italian | First semester | MATH-02/B |
| Geometry of Schemes | 6 | 47 | Italian | First semester | MATH-02/B |
| Higher Geometry 2 | 6 | 52 | Italian | First semester | MATH-02/B |
| History of Mathematics 1 | 6 | 42 | Italian | Second semester | MATH-01/B |
| Homological Algebra | 6 | 42 | Italian | Second semester | MATH-02/A |
| Lie Groups | 6 | 42 | Italian | Second semester | MATH-02/B |
| Mathematical Analysis 5 | 6 | 60 | Italian | Second semester | MATH-03/A |
| Mathematical Fluid-Mechanics | 6 | 42 | Italian | Second semester | MATH-04/A |
| Numerical Linear Algebra | 6 | 60 | English | Second semester | MATH-05/A |
| Operating Systems and Computer Networks | 6 | 47 | Italian | Second semester | INFO-01/A |
| Optimal Transport and Applications. | 6 | 42 | Italian | First semester | MATH-03/A |
| Point Processes and Random Sets | 6 | 47 | Italian | Second semester | MATH-03/B |
| Preparation of Didactical Experiences 1 | 6 | 52 | Italian | First semester | PHYS-06/B |
| Preparation of Future Teachers 2 | 6 | 52 | Italian | Second semester | PHYS-06/B |
| Projective Algebraic Geometry | 6 | 47 | Italian | First semester | MATH-02/B |
| Riemannian Geometry | 6 | 42 | Italian | Second semester | MATH-02/B |
| Scientific Computing | 6 | 60 | Italian | First semester | MATH-05/A |
| Stochastic Control Optimization | 6 | 47 | Italian | First semester | MATH-03/B |
a3 - Students must obtain at least 6 ects in the sectors Math-03/B-04/A-05/A-06/A, by choosing courses that appear in Tables 1A and 2A.
a4 - Students must obtain the ects remaining to reach the total of 45 by choosing courses in any sector Math/xx among those appearing in Tables 1A,2A,1B,2B,1C,2C.
a5 - ATTIVITA' AFFINI O INTEGRATIVE: 24 CREDITI
Gli studenti devono conseguire 24 crediti scegliendo tra:
· insegnamenti in settori diversi da Math/xx che compaiono nelle tabelle 1A,2A,1B,2B,1C,2C;
· ulteriori insegnamenti offerti dall'Ateneo, in settori diversi da Math/xx fuori dalle citate tabelle;
· almeno 12 crediti tra gli insegnamenti appartenenti a settori scientifico-disciplinari Math-01/A-06/A compresi nelle tabelle 1A-2A-1B-2B-1C-2C in base all'orientamento scelto.
Tranne per la prima opzione, la scelta sarà soggetta all'approvazione del CDM.
Gli studenti devono conseguire 24 crediti scegliendo tra:
· insegnamenti in settori diversi da Math/xx che compaiono nelle tabelle 1A,2A,1B,2B,1C,2C;
· ulteriori insegnamenti offerti dall'Ateneo, in settori diversi da Math/xx fuori dalle citate tabelle;
· almeno 12 crediti tra gli insegnamenti appartenenti a settori scientifico-disciplinari Math-01/A-06/A compresi nelle tabelle 1A-2A-1B-2B-1C-2C in base all'orientamento scelto.
Tranne per la prima opzione, la scelta sarà soggetta all'approvazione del 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. Penati).
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. Penati).
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Financial Technologies | 3 | 20 | Italian | Open sessions | NN |
| Laboratory of Education and Public Engagement | 3 | 0 | Italian | Open sessions | NN |
| Laboratory of Mathematical Methods and Models in Python | 3 | 30 | Italian | Second semester | NN |
| Supplementary Seminar in an Advanced Mathematics Area | 3 | 0 | Italian | Open sessions | NN |
a7 - CREDITI A LIBERA SCELTA: gli studenti devono acquisire i crediti mancanti a raggiungere il numero di 93 seguendo insegnamenti a libera scelta, scegliendo tra tutti gli insegnamenti erogati dall'Ateneo, purché coerenti con il progetto formativo e previa approvazione del Collegio Didattico. La scelta verrà sottoposta ad approvazione della Commissione di valutazione del Piano di studi presentato dallo studente.
Gli insegnamenti della laurea triennale che non sono obbligatori per tutti possono essere inseriti nel piano studi solo tra i crediti liberi.
Gli insegnamenti della laurea triennale obbligatori per tutti possono essere solo assegnati dalla commissione di ammissione.
Gli insegnamenti della laurea triennale che non sono obbligatori per tutti possono essere inseriti nel piano studi solo tra i crediti liberi.
Gli insegnamenti della laurea triennale obbligatori per tutti possono essere solo assegnati dalla commissione di ammissione.
There are no prerequisites.
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| English Proficiency B2 (3 ECTS) | 3 | 0 | English | NN |
be activated by the A.Y. 2027/2028
Conclusive activities
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Final Exam | 27 | 0 | Italian | NN |
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Advanced Mathematical Statistics | 9 | 78 | Italian | MATH-03/B |
| Advanced Partial Differential Equations | 6 | 42 | Italian | MATH-03/A |
| Advanced Probability | 9 | 78 | Italian | MATH-03/B |
| Advanced Topics in Financial Mathematics | 6 | 42 | Italian | STAT-04/A |
| Biomathematics 2 | 6 | 52 | Italian | MATH-03/B MATH-05/A |
| Biomathematics 3 | 6 | 42 | Italian | MATH-04/A |
| Computability and Computational Complexity | 6 | 42 | Italian | INFO-01/A |
| Cytology and Histology | 9 | 78 | Italian | BIOS-04/A |
| Didactics of Infinitesimal Calculus | 6 | 42 | Italian | MATH-01/B |
| Didactics of Mathematic | 6 | 47 | Italian | MATH-01/B |
| Didactics of Mathematic | 9 | 73 | Italian | MATH-01/B |
| Dynamical System 2 | 6 | 42 | Italian | MATH-04/A |
| Ecology | 9 | 80 | Italian | BIOS-05/A |
| Elementary Mathematics from an Advanced Standpoint 1 | 6 | 42 | Italian | MATH-01/B |
| Evolutionary Partial Differential Equations | 6 | 42 | Italian | MATH-03/A |
| Fourier Analysis | 6 | 42 | Italian | MATH-03/A |
| Functional Analysis | 6 | 42 | Italian | MATH-03/A |
| Genetics | 9 | 80 | Italian | BIOS-14/A |
| Geometry 5 | 6 | 60 | Italian | MATH-02/B |
| Geometry 5 | 9 | 78 | Italian | MATH-02/B |
| Hamiltonian System 1 | 6 | 47 | Italian | MATH-04/A |
| Hamiltonian System 1 | 9 | 73 | Italian | MATH-04/A |
| Mathematical Finance 1 | 9 | 73 | Italian | STAT-04/A |
| Mathematical Methods in Quantum Mechanics | 6 | 42 | Italian | MATH-04/A |
| Numerical Methods for Partial Differential Equations 1 | 9 | 78 | Italian | MATH-05/A |
| Optimal Transport and Applications. | 6 | 42 | Italian | MATH-03/A |
| Real Analysis | 6 | 42 | Italian | MATH-03/A |
| Scientific Computing | 6 | 60 | Italian | MATH-05/A |
| Stochastic Control Optimization | 6 | 47 | Italian | MATH-03/B |
Second semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Advanced Topics in Calculus of Variations | 6 | 42 | Italian | MATH-03/A |
| Advanced Topics in Probability Theory | 6 | 47 | Italian | MATH-03/B |
| Algebra 4 | 9 | 78 | Italian | MATH-02/A |
| Algebra 4 | 6 | 60 | Italian | MATH-02/A |
| Animal Biology and Systematics | 9 | 80 | Italian | BIOS-06/A |
| Calculus of Variations | 6 | 42 | Italian | MATH-03/A |
| Complex Analysis | 9 | 73 | Italian | MATH-03/A |
| Complex Analysis | 6 | 47 | Italian | MATH-03/A |
| Constructive Approximation | 6 | 60 | Italian | MATH-05/A |
| Didactics of Geometry | 6 | 52 | Italian | MATH-01/B |
| Dynamical Systems 1 | 6 | 42 | Italian | MATH-04/A |
| Foundations of Mathematics I | 6 | 42 | Italian | MATH-01/B |
| History of Mathematics 1 | 6 | 42 | Italian | MATH-01/B |
| Laboratory of Mathematical Methods and Models in Python | 3 | 30 | Italian | NN |
| Lie Groups | 6 | 42 | Italian | MATH-02/B |
| Mathematical Analysis 5 | 6 | 60 | Italian | MATH-03/A |
| Mathematical Economics 1 | 6 | 42 | Italian | STAT-04/A |
| Mathematical Finance 2 | 6 | 42 | Italian | STAT-04/A |
| Mathematical Fluid-Mechanics | 6 | 42 | Italian | MATH-04/A |
| Mathematical Modelling Laboratory | 6 | 72 | Italian | MATH-03/B MATH-04/A MATH-05/A |
| Molecular Biology and Bioinformatics | 12 | 96 | Italian | BIOS-08/A |
| Numerical Linear Algebra | 6 | 60 | English | MATH-05/A |
| Numerical Methods for Partial Differential Equations 2 | 9 | 78 | Italian | MATH-05/A |
| Operating Systems and Computer Networks | 6 | 47 | Italian | INFO-01/A |
| Operations Research | 6 | 48 | Italian | MATH-06/A |
| Partial Differential Equations | 9 | 73 | Italian | MATH-03/A |
| Partial Differential Equations | 6 | 42 | Italian | MATH-03/A |
| Point Processes and Random Sets | 6 | 47 | Italian | MATH-03/B |
| Relativity 1 | 6 | 52 | Italian | MATH-04/A |
| Relativity 1 | 9 | 78 | Italian | MATH-04/A |
| Stochastic Calculus and Applications | 9 | 88 | Italian | MATH-03/B |
First four month period
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Decision Methods and Models | 6 | 48 | Italian | MATH-06/A |
Second four month period
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Logistics | 6 | 48 | Italian | INFO-01/A |
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Financial Technologies | 3 | 20 | Italian | NN |
| Laboratory of Education and Public Engagement | 3 | 0 | Italian | NN |
| Supplementary Seminar in an Advanced Mathematics Area | 3 | 0 | Italian | NN |
Optional activities and study plan rules
b1 - CHARACTERIZING ACTIVITIES: 45 ECTS
Students must obtain at least 9 ects in the sectors Math-01/A-01/B-02/A-02/B-03/A, by choosing courses that appear in the following table 1B.
Students must obtain at least 9 ects in the sectors Math-01/A-01/B-02/A-02/B-03/A, by choosing courses that appear in the following table 1B.
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Advanced Mathematical Statistics | 9 | 78 | Italian | First semester | MATH-03/B |
| Advanced Probability | 9 | 78 | Italian | First semester | MATH-03/B |
| Complex Analysis | 9 | 73 | Italian | Second semester | MATH-03/A |
| Complex Analysis | 6 | 47 | Italian | Second semester | MATH-03/A |
| Didactics of Geometry | 6 | 52 | Italian | Second semester | MATH-01/B |
| Didactics of Infinitesimal Calculus | 6 | 42 | Italian | First semester | MATH-01/B |
| Dynamical Systems 1 | 6 | 42 | Italian | Second semester | MATH-04/A |
| Functional Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Hamiltonian System 1 | 6 | 47 | Italian | First semester | MATH-04/A |
| Hamiltonian System 1 | 9 | 73 | Italian | First semester | MATH-04/A |
| Mathematical Finance 1 | 9 | 73 | Italian | First semester | STAT-04/A |
| Mathematical Methods in Quantum Mechanics | 6 | 42 | Italian | First semester | MATH-04/A |
| Numerical Methods for Partial Differential Equations 1 | 9 | 78 | Italian | First semester | MATH-05/A |
| Numerical Methods for Partial Differential Equations 2 | 9 | 78 | Italian | Second semester | MATH-05/A |
| Partial Differential Equations | 6 | 42 | Italian | Second semester | MATH-03/A |
| Partial Differential Equations | 9 | 73 | Italian | Second semester | MATH-03/A |
| Real Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Relativity 1 | 6 | 52 | Italian | Second semester | MATH-04/A |
| Relativity 1 | 9 | 78 | Italian | Second semester | MATH-04/A |
| Stochastic Calculus and Applications | 9 | 88 | Italian | Second semester | MATH-03/B |
b2 - Students must obtain at least 6 ects in the sectors Math-01/A-01/B-02/A-02/B-03/A, by choosing courses that appear in the following table 2B, or in the previous table 1B.
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Advanced Partial Differential Equations | 6 | 42 | Italian | First semester | MATH-03/A |
| Advanced Topics in Calculus of Variations | 6 | 42 | Italian | Second semester | MATH-03/A |
| Advanced Topics in Financial Mathematics | 6 | 42 | Italian | First semester | STAT-04/A |
| Advanced Topics in Probability Theory | 6 | 47 | Italian | Second semester | MATH-03/B |
| Algebra 4 | 9 | 78 | Italian | Second semester | MATH-02/A |
| Algebra 4 | 6 | 60 | Italian | Second semester | MATH-02/A |
| Animal Biology and Systematics | 9 | 80 | Italian | Second semester | BIOS-06/A |
| Biomathematics 2 | 6 | 52 | Italian | First semester | MATH-03/B MATH-05/A |
| Biomathematics 3 | 6 | 42 | Italian | First semester | MATH-04/A |
| Calculus of Variations | 6 | 42 | Italian | Second semester | MATH-03/A |
| Computability and Computational Complexity | 6 | 42 | Italian | First semester | INFO-01/A |
| Constructive Approximation | 6 | 60 | Italian | Second semester | MATH-05/A |
| Cytology and Histology | 9 | 78 | Italian | First semester | BIOS-04/A |
| Decision Methods and Models | 6 | 48 | Italian | First four month period | MATH-06/A |
| Didactics of Mathematic | 6 | 47 | Italian | First semester | MATH-01/B |
| Didactics of Mathematic | 9 | 73 | Italian | First semester | MATH-01/B |
| Dynamical System 2 | 6 | 42 | Italian | First semester | MATH-04/A |
| Ecology | 9 | 80 | Italian | First semester | BIOS-05/A |
| Elementary Mathematics from an Advanced Standpoint 1 | 6 | 42 | Italian | First semester | MATH-01/B |
| Evolutionary Partial Differential Equations | 6 | 42 | Italian | First semester | MATH-03/A |
| Foundations of Mathematics I | 6 | 42 | Italian | Second semester | MATH-01/B |
| Fourier Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Genetics | 9 | 80 | Italian | First semester | BIOS-14/A |
| Geometry 5 | 6 | 60 | Italian | First semester | MATH-02/B |
| Geometry 5 | 9 | 78 | Italian | First semester | MATH-02/B |
| History of Mathematics 1 | 6 | 42 | Italian | Second semester | MATH-01/B |
| Lie Groups | 6 | 42 | Italian | Second semester | MATH-02/B |
| Logistics | 6 | 48 | Italian | Second four month period | INFO-01/A |
| Mathematical Analysis 5 | 6 | 60 | Italian | Second semester | MATH-03/A |
| Mathematical Economics 1 | 6 | 42 | Italian | Second semester | STAT-04/A |
| Mathematical Finance 2 | 6 | 42 | Italian | Second semester | STAT-04/A |
| Mathematical Fluid-Mechanics | 6 | 42 | Italian | Second semester | MATH-04/A |
| Mathematical Modelling Laboratory | 6 | 72 | Italian | Second semester | MATH-03/B MATH-04/A MATH-05/A |
| Molecular Biology and Bioinformatics | 12 | 96 | Italian | Second semester | BIOS-08/A |
| Numerical Linear Algebra | 6 | 60 | English | Second semester | MATH-05/A |
| Operating Systems and Computer Networks | 6 | 47 | Italian | Second semester | INFO-01/A |
| Operations Research | 6 | 48 | Italian | Second semester | MATH-06/A |
| Optimal Transport and Applications. | 6 | 42 | Italian | First semester | MATH-03/A |
| Point Processes and Random Sets | 6 | 47 | Italian | Second semester | MATH-03/B |
| Scientific Computing | 6 | 60 | Italian | First semester | MATH-05/A |
| Stochastic Control Optimization | 6 | 47 | Italian | First semester | MATH-03/B |
b3 - Students must obtain at least 12 ects in the sectors Math-03/B-04/A-05/A-06/A, by inserting in their curriculum courses that appear in Table 1B.
b4 - Students must obtain at least 12 ects in the sectors Math-03/B-04/A-05/A-06/A, by choosing courses that appear in Table 2B.
b5 - Students must obtain the remaining ects for the achievement of 45 ects by choosing courses in any sector Math/xx through the entries in Tables 1A,2A,1B,2B,1C,2C.
b6 - ATTIVITA'AFFINI O INTEGRATIVE: 24 crediti
Gli studenti devono conseguire 24 crediti scegliendo:
· insegnamenti in settori diversi da Math/xx che compaiono nelle tabelle 1A,2A,1B,2B,1C,2C;
· ulteriori insegnamenti offerti dall'Ateneo, in settori diversi da Math/xx fuori dalle citate tabelle;
· almeno 12 crediti tra gli insegnamenti appartenenti a settori scientifico-disciplinari Math-01/A-06/A compresi nelle tabelle 1A,2A,1B,2B,1C,2C in base all'orientamento scelto.
Tranne per la prima opzione, la scelta sarà soggetta all'approvazione del CDM.
Gli studenti devono conseguire 24 crediti scegliendo:
· insegnamenti in settori diversi da Math/xx che compaiono nelle tabelle 1A,2A,1B,2B,1C,2C;
· ulteriori insegnamenti offerti dall'Ateneo, in settori diversi da Math/xx fuori dalle citate tabelle;
· almeno 12 crediti tra gli insegnamenti appartenenti a settori scientifico-disciplinari Math-01/A-06/A compresi nelle tabelle 1A,2A,1B,2B,1C,2C in base all'orientamento scelto.
Tranne per la prima opzione, la scelta sarà soggetta all'approvazione del 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 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. Penati).
Students must obtain 3 ects by 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. Penati).
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Financial Technologies | 3 | 20 | Italian | Open sessions | NN |
| Laboratory of Education and Public Engagement | 3 | 0 | Italian | Open sessions | NN |
| Laboratory of Mathematical Methods and Models in Python | 3 | 30 | Italian | Second semester | NN |
| Supplementary Seminar in an Advanced Mathematics Area | 3 | 0 | Italian | Open sessions | NN |
b8 - CREDITI A LIBERA SCELTA: gli studenti devono acquisire i crediti mancanti a raggiungere il numero di 93 seguendo insegnamenti a libera scelta, scegliendo tra tutti gli insegnamenti erogati dall'Ateneo,purché coerenti con il progetto formativo e previa approvazione del Collegio Didattico. La scelta verrà sottoposta ad approvazione della Commissione di valutazione del Piano di studi presentato dallo studente.
Gli insegnamenti della laurea triennale che non sono obbligatori per tutti possono essere inseriti nel piano studi solo tra i crediti liberi.
Gli insegnamenti della laurea triennale obbligatori per tutti possono essere solo assegnati dalla commissione di ammissione.
Gli insegnamenti della laurea triennale che non sono obbligatori per tutti possono essere inseriti nel piano studi solo tra i crediti liberi.
Gli insegnamenti della laurea triennale obbligatori per tutti possono essere solo assegnati dalla commissione di ammissione.
There are no prerequisites.
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| English Proficiency B2 (3 ECTS) | 3 | 0 | English | NN |
be activated by the A.Y. 2027/2028
Conclusive activities
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Final Exam | 27 | 0 | Italian | NN |
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Advanced Mathematical Statistics | 9 | 78 | Italian | MATH-03/B |
| Advanced Partial Differential Equations | 6 | 42 | Italian | MATH-03/A |
| Advanced Probability | 9 | 78 | Italian | MATH-03/B |
| Advanced Topics in Financial Mathematics | 6 | 42 | Italian | STAT-04/A |
| Biomathematics 2 | 6 | 52 | Italian | MATH-03/B MATH-05/A |
| Biomathematics 3 | 6 | 42 | Italian | MATH-04/A |
| Dynamical System 2 | 6 | 42 | Italian | MATH-04/A |
| Evolutionary Partial Differential Equations | 6 | 42 | Italian | MATH-03/A |
| Fourier Analysis | 6 | 42 | Italian | MATH-03/A |
| Functional Analysis | 6 | 42 | Italian | MATH-03/A |
| Geometry 5 | 6 | 60 | Italian | MATH-02/B |
| Geometry 5 | 9 | 78 | Italian | MATH-02/B |
| Hamiltonian System 1 | 9 | 73 | Italian | MATH-04/A |
| Hamiltonian System 1 | 6 | 47 | Italian | MATH-04/A |
| Mathematical Finance 1 | 9 | 73 | Italian | STAT-04/A |
| Mathematical Methods in Quantum Mechanics | 6 | 42 | Italian | MATH-04/A |
| Numerical Methods for Partial Differential Equations 1 | 9 | 78 | Italian | MATH-05/A |
| Real Analysis | 6 | 42 | Italian | MATH-03/A |
| Scientific Computing | 6 | 60 | Italian | MATH-05/A |
| Stochastic Control Optimization | 6 | 47 | Italian | MATH-03/B |
Second semester
First four month period
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Decision Methods and Models | 6 | 48 | Italian | MATH-06/A |
Second four month period
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Logistics | 6 | 48 | Italian | INFO-01/A |
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Algant Summer School | 3 | 0 | Italian | NN |
| Ecmi Modelling Week | 3 | 0 | Italian | NN |
| Financial Technologies | 3 | 20 | Italian | NN |
| Internship in Industry | 6 | 0 | Italian | NN |
| Supplementary Seminar in an Advanced Mathematics Area | 3 | 0 | Italian | NN |
Optional activities and study plan rules
c1 - CHARACTERIZING ACTIVITIES: 45 ECTS
Students must obtain at least 15 ects in Math-03/A sector, 9 ects in Math-03/B, 9 in Math-05/A, 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.
Students must obtain at least 15 ects in Math-03/A sector, 9 ects in Math-03/B, 9 in Math-05/A, 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 | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Advanced Mathematical Statistics | 9 | 78 | Italian | First semester | MATH-03/B |
| Dynamical Systems 1 | 6 | 42 | Italian | Second semester | MATH-04/A |
| Functional Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Hamiltonian System 1 | 9 | 73 | Italian | First semester | MATH-04/A |
| Hamiltonian System 1 | 6 | 47 | Italian | First semester | MATH-04/A |
| Numerical Methods for Partial Differential Equations 1 | 9 | 78 | Italian | First semester | MATH-05/A |
| Numerical Methods for Partial Differential Equations 2 | 9 | 78 | Italian | Second semester | MATH-05/A |
| Partial Differential Equations | 6 | 42 | Italian | Second semester | MATH-03/A |
| Partial Differential Equations | 9 | 73 | Italian | Second semester | MATH-03/A |
| Real Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Stochastic Calculus and Applications | 9 | 88 | Italian | Second semester | MATH-03/B |
c2 - Students must obtain at least 6 ects in the sectors Math-03/B-04/A-05/A-06/A, by inserting in their syllabus courses that appear in the table below 2C.
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Advanced Partial Differential Equations | 6 | 42 | Italian | First semester | MATH-03/A |
| Advanced Probability | 9 | 78 | Italian | First semester | MATH-03/B |
| Advanced Topics in Financial Mathematics | 6 | 42 | Italian | First semester | STAT-04/A |
| Advanced Topics in Probability Theory | 6 | 47 | Italian | Second semester | MATH-03/B |
| Biomathematics 2 | 6 | 52 | Italian | First semester | MATH-03/B MATH-05/A |
| Biomathematics 3 | 6 | 42 | Italian | First semester | MATH-04/A |
| Calculus of Variations | 6 | 42 | Italian | Second semester | MATH-03/A |
| Complex Analysis | 6 | 47 | Italian | Second semester | MATH-03/A |
| Complex Analysis | 9 | 73 | Italian | Second semester | MATH-03/A |
| Constructive Approximation | 6 | 60 | Italian | Second semester | MATH-05/A |
| Decision Methods and Models | 6 | 48 | Italian | First four month period | MATH-06/A |
| Dynamical System 2 | 6 | 42 | Italian | First semester | MATH-04/A |
| Evolutionary Partial Differential Equations | 6 | 42 | Italian | First semester | MATH-03/A |
| Fourier Analysis | 6 | 42 | Italian | First semester | MATH-03/A |
| Geometry 5 | 6 | 60 | Italian | First semester | MATH-02/B |
| Geometry 5 | 9 | 78 | Italian | First semester | MATH-02/B |
| Logistics | 6 | 48 | Italian | Second four month period | INFO-01/A |
| Mathematical Analysis 5 | 6 | 60 | Italian | Second semester | MATH-03/A |
| Mathematical Economics 1 | 6 | 42 | Italian | Second semester | STAT-04/A |
| Mathematical Finance 1 | 9 | 73 | Italian | First semester | STAT-04/A |
| Mathematical Finance 2 | 6 | 42 | Italian | Second semester | STAT-04/A |
| Mathematical Fluid-Mechanics | 6 | 42 | Italian | Second semester | MATH-04/A |
| Mathematical Methods in Quantum Mechanics | 6 | 42 | Italian | First semester | MATH-04/A |
| Numerical Linear Algebra | 6 | 60 | English | Second semester | MATH-05/A |
| Operating Systems and Computer Networks | 6 | 47 | Italian | Second semester | INFO-01/A |
| Operations Research | 6 | 48 | Italian | Second semester | MATH-06/A |
| Point Processes and Random Sets | 6 | 47 | Italian | Second semester | MATH-03/B |
| Relativity 1 | 9 | 78 | Italian | Second semester | MATH-04/A |
| Relativity 1 | 6 | 52 | Italian | Second semester | MATH-04/A |
| Scientific Computing | 6 | 60 | Italian | First semester | MATH-05/A |
| Stochastic Control Optimization | 6 | 47 | Italian | First semester | MATH-03/B |
c3 - Students must obtain 45 ects by choosing courses in any sector math/xx through the entries in Tables 1C,2C.
c4 - ATTIVITA' AFFINI O INTEGRATIVE: 18 CREDITI
Gli studenti devono conseguire
- almeno 12 crediti scegliendo tra:
· insegnamenti in settori diversi da Math/xx che compaiono nelle tabelle 1A,2A,1B,2B,1C,2C;
· ulteriori insegnamenti in settori diversi da Math/xx fuori dalle citate tabelle;
- fino a 6 crediti scegliendo tra:
· insegnamenti nei settori Math/xx.
Tranne per la prima opzione, la scelta sarà soggetta all'approvazione del CDM.
Gli studenti devono conseguire
- almeno 12 crediti scegliendo tra:
· insegnamenti in settori diversi da Math/xx che compaiono nelle tabelle 1A,2A,1B,2B,1C,2C;
· ulteriori insegnamenti in settori diversi da Math/xx fuori dalle citate tabelle;
- fino a 6 crediti scegliendo tra:
· insegnamenti nei settori Math/xx.
Tranne per la prima opzione, la scelta sarà soggetta all'approvazione del CDM.
c5 - 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 .. in the summer of 2027 (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", please contact Prof. Paleari.
Algant students can acquire 3 ects after active participation to an Algant Summer School and / or by TER (=Travaux d'étude et de recherche) 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).
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 .. in the summer of 2027 (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", please contact Prof. Paleari.
Algant students can acquire 3 ects after active participation to an Algant Summer School and / or by TER (=Travaux d'étude et de recherche) 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).
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algant Summer School | 3 | 0 | Italian | Open sessions | NN |
| Ecmi Modelling Week | 3 | 0 | Italian | Open sessions | NN |
| Financial Technologies | 3 | 20 | Italian | Open sessions | NN |
| Internship in Industry | 6 | 0 | Italian | Open sessions | NN |
| Laboratory of Mathematical Methods and Models in Python | 3 | 30 | Italian | Second semester | NN |
| Supplementary Seminar in an Advanced Mathematics Area | 3 | 0 | Italian | Open sessions | NN |
c6 - CREDITI A LIBERA SCELTA: gli studenti devono acquisire i crediti mancanti a raggiungere il numero di 93 seguendo insegnamenti a libera scelta, scegliendo tra tutti gli insegnamenti erogati dall'Ateneo, purché coerenti con il progetto formativo e previa approvazione del Collegio Didattico. La scelta verrà sottoposta ad approvazione della Commissione di valutazione del Piano di studi presentato dallo studente.
Gli insegnamenti della laurea triennale che non sono obbligatori per tutti possono essere inseriti nel piano studi solo tra i crediti liberi.
Gli insegnamenti della laurea triennale obbligatori per tutti possono essere solo assegnati dalla commissione di ammissione.
Gli insegnamenti della laurea triennale che non sono obbligatori per tutti possono essere inseriti nel piano studi solo tra i crediti liberi.
Gli insegnamenti della laurea triennale obbligatori per tutti possono essere solo assegnati dalla commissione di ammissione.
There are no prerequisites.
Learn more
Guidance:
Admission, ranking and enrolment
Milan
Course locations
via Celoria 2
via Celoria 10
via Celoria 18
via Celoria 20
via Colombo 62
via Golgi 19
via Mangiagalli 25
via Mangiagalli 31
via Mangiagalli 32
via Valvassori Peroni 21
via Venezian 15
via Celoria 10
via Celoria 18
via Celoria 20
via Colombo 62
via Golgi 19
via Mangiagalli 25
via Mangiagalli 31
via Mangiagalli 32
via Valvassori Peroni 21
via Venezian 15
Laboratory locations
Via Celoria 20
Head of study programme
Tutors professors
Reference structures
Contacts
- Degree programme administration
via Celoria, 20
https://informastudenti.unimi.it/saw/ess?AUTH=SAML
+390250316122
su appuntamento - Other Activities and Credit Award Board
SCACCHI Simone (Presidente), MOLTENI Giuseppe, TORTORA Alfonso - Master's Degree Organization Board
VIGNATI Marco (Presidente), ALZATI Alberto, SCACCHI Simone, MAZZA Carlo - Timetables Board
LOVADINA Carlo (Presidente), ZAMPIERI Elena, ZANOTTI Pietro - Orientation and Internship Board
TORTORA Alfonso (Presidente), NALDI Giovanni, MICHELETTI Alessandra, MAGGIS Marco, COZZI Matteo, BRANCHETTI Laura - Secondary school teacher training activities
BRANCHETTI Laura (Presidente), ASENOVA Miglena, RIZZO Ottavio - Master's Degree Study Plan Board
PAYNE Kevin (Presidente), COLOMBO Elisabetta, PIZZOCCHERO Livio, UGOLINI Stefania - Master's Degree Organization Board
CALANCHI Marta (Presidente), PELOSO Marco, GHILARDI Silvio, VIGNATI Marco - Socrates-Erasmus Board
GAETA Giuseppe (Presidente), GORI Anna, MATESSI Diego, SCACCHI Simone, PAYNE Kevin - Programme Transfer and International Qualifications Recognition Board
ZAMPIERI Elena, REGGIO Luca - ALGANT academic tutor
MAZZA Carlo - Disability academic tutor
SCACCHI Simone - Web pages and website academic tutors
PALEARI Simone - ECMI academic tutor
CAUSIN Paola - Student registrar
CONTATTI, SEDI E ORARI
https://www.unimi.it/it/node/360
https://www.unimi.it/it/node/359 - Piano Lauree Scientifiche" academic tutor
CAUSIN Paola - academic tutor
PENATI Tiziano
For students enrolled in Bachelor's, Master's and single-cycle degree programmes, tuition fees are to be paid in two instalments:
- the amount of the first instalment is the same for all students and is due upon enrolment
- the amount of the second instalment varies according to each student's ISEE University value and the degree programme in which they are enrolled
- for international students with income and assets abroad, the second instalment varies according to their country of origin.
Education incentive programmes and other benefits
The University offers scholarships, cafeterias, subsidised accommodation and other forms of financial support to students meeting specific economic and merit requirements.
More information
Official documents
A.Y. 2026/2027
Mathematics (Classe LM-40 R )-Enrolled in A.a. 2026/2027 [FBQof2 2027]
Mathematics (Classe LM-40 R )-Enrolled in A.a. 2025/2026 [FBQof1 2027]
A.Y. 2025/2026
Mathematics (Classe LM-40 R )-Enrolled in A.a. 2025/2026 [FBQof1 2026]
A.Y. 2024/2025
Mathematics (Classe LM-40)-Enrolled from 2012/13 [F4Yof1 2025]
A.Y. 2023/2024
Mathematics (Classe LM-40)-Enrolled from 2012/13 [F4Yof1 2024]
A.Y. 2022/2023
Mathematics (Classe LM-40)-Enrolled from 2012/13 [F4Yof1 2023]
A.Y. 2021/2022
Mathematics (Classe LM-40)-Enrolled from 2012/13 [F4Yof1 2022]
A.Y. 2020/2021
Mathematics (Classe LM-40)-Enrolled from 2012/13 [F4Yof1 2021]