Mathematics
In-person programme
Mathematics
Course sheet
A.Y. 2026/2027
Bachelor
L-35 R - Scienze matematiche
The Bachelor's degree in Mathematics aims to provide a solid grounding in mathematical sciences by introducing students to the modern formulation of these subjects, and exploring general, methodological as well as application aspects. The programme also covers the essentials of physics and computer science, which are a prerequisite for an adequate understanding of mathematical applications.
Mathematician
Job function
Typical job functions include: the modelling and analysis of any phenomena (in the field of physics, biology, medicine, etc.) whose understanding requires a high degree of abstraction; data analysis; use of specific business software; personnel training; dissemination of knowledge pertaining to scientific disciplines.
To achieve higher responsibilities in their careers, graduates will need to further refine their education by completing a Master's degree, a first-level vocational master or a specialised professional course.
Professional skills
Mathematics graduates stand out for their aptitude for abstract reasoning and the formalisation or modelling of practical problems, as well as for their ability to solve these problems by using mathematical methods. This translates into strong problem-solving skills applicable to a wide range of scientific as well as socio-cultural situations.
Career opportunities
Bachelor's graduates in Mathematics usually continue their studies with a master's degree, but may also enter the job market directly. Potential employers include:
- banks and insurance companies
- survey institutes
- consulting firms
- software design and development companies
- research and development centres and laboratories.
Employment statistics (Almalaurea)
Job function
Typical job functions include: the modelling and analysis of any phenomena (in the field of physics, biology, medicine, etc.) whose understanding requires a high degree of abstraction; data analysis; use of specific business software; personnel training; dissemination of knowledge pertaining to scientific disciplines.
To achieve higher responsibilities in their careers, graduates will need to further refine their education by completing a Master's degree, a first-level vocational master or a specialised professional course.
Professional skills
Mathematics graduates stand out for their aptitude for abstract reasoning and the formalisation or modelling of practical problems, as well as for their ability to solve these problems by using mathematical methods. This translates into strong problem-solving skills applicable to a wide range of scientific as well as socio-cultural situations.
Career opportunities
Bachelor's graduates in Mathematics usually continue their studies with a master's degree, but may also enter the job market directly. Potential employers include:
- banks and insurance companies
- survey institutes
- consulting firms
- software design and development companies
- research and development centres and laboratories.
Employment statistics (Almalaurea)
The Bachelor of Science in Mathematics has long been committed to characterize its educational activities in an international framework under the Erasmus program. We activated several agreements with other universities in Europe. In particular, we have exchange agreements within the disciplines of both curricula: with Austria, Spain, Portugal, France, Germany, Holland, Denmark, Poland, Czech Republic, Slovenia, Sweden, Norway and Finland.
See the website http://users.unimi.it/erasmusmat/ for collected information on locations and how to recognize the activities carried out abroad.
See the website http://users.unimi.it/erasmusmat/ for collected information on locations and how to recognize the activities carried out abroad.
Attendance is strongly recommended for each course.
Enrolment
Qualifications and knowledge required for admission
To be eligible for admission to the Bachelor's degree in Mathematics, applicants must have an Italian upper-secondary school diploma or an equivalent qualification obtained abroad. Moreover, they should have a grounding in basic mathematics and an understanding of elementary logic.
Admission assessment
Admission to the Bachelor's degree programme in Mathematics is open, subject to a mandatory but non-selective assessment test before enrolment. This test is called TOLC (Test Online CISIA) and applicants can take it with the University of Milan or with any other member university of CISIA (Consortium of Inter-University Integrated Access Systems). Applicants must register for the TOLC test on the CISIA website (www.cisiaonline.it).
The following types of TOLC are accepted for admission to the Bachelor's degree in Mathematics: TOLC-S and TOLC-I.
Applicants can matriculate only after taking one of these tests, WHATEVER THE RESULT.
Other equivalent tests may be accepted, subject to the approval of the Academic Board.
For further information, please contact the Academic Office of the Department of Mathematics at [email protected]
The structure, topics and other useful details of the TOLC-S test are available at https://www.cisiaonline.it/en/tolc/tolc-s/structure-and-syllabus
The structure, topics and other useful details of the TOLC-I test are available at https://www.cisiaonline.it/en/tolc/tolc-i/structure-and-syllabus
Application deadlines and instructions will be specified in the call for applications, which will be published at https://matematica.cdl.unimi.it/it/iscriversi
Admission of transfer students and students already holding a degree
Students transferring from another degree programme of the University of Milan or another university will not be required to take the TOLC test, provided that they are admitted to years subsequent to Year I. The same applies to applicants who already hold a university degree.
Applicants falling into these categories must submit a specific request for recognition of prior academic learning, using the dedicated online service indicated in the call for applications.
The request must include a full transcript of records (listing all exams and the respective scientific-disciplinary sectors, credits and grades) along with the course syllabi. For more details on this procedure and the relevant timeframe, please refer to the call for applications.
Transfer students and degree-holders who are admitted to Year I will have to take the test (TOLC-S, TOLC-I or other equivalent tests approved by the Academic Board).
Additional learning requirements (OFA) and remedial activities
Students who do not score at least 10 points in the Mathematics module of the TOLC test will have to fulfil additional learning requirements (OFA).
These requirements can be met by passing part A (Syllabus) of the Elements of Basic Mathematics exam by December 2026. Students who do not fulfil their OFA may not take any second-year exams before passing one of the following exams: Algebra 1, Mathematical Analysis 1, Geometry 1.
For further information, please visit https://matematica.cdl.unimi.it/it/studiare/le-matricole
To be eligible for admission to the Bachelor's degree in Mathematics, applicants must have an Italian upper-secondary school diploma or an equivalent qualification obtained abroad. Moreover, they should have a grounding in basic mathematics and an understanding of elementary logic.
Admission assessment
Admission to the Bachelor's degree programme in Mathematics is open, subject to a mandatory but non-selective assessment test before enrolment. This test is called TOLC (Test Online CISIA) and applicants can take it with the University of Milan or with any other member university of CISIA (Consortium of Inter-University Integrated Access Systems). Applicants must register for the TOLC test on the CISIA website (www.cisiaonline.it).
The following types of TOLC are accepted for admission to the Bachelor's degree in Mathematics: TOLC-S and TOLC-I.
Applicants can matriculate only after taking one of these tests, WHATEVER THE RESULT.
Other equivalent tests may be accepted, subject to the approval of the Academic Board.
For further information, please contact the Academic Office of the Department of Mathematics at [email protected]
The structure, topics and other useful details of the TOLC-S test are available at https://www.cisiaonline.it/en/tolc/tolc-s/structure-and-syllabus
The structure, topics and other useful details of the TOLC-I test are available at https://www.cisiaonline.it/en/tolc/tolc-i/structure-and-syllabus
Application deadlines and instructions will be specified in the call for applications, which will be published at https://matematica.cdl.unimi.it/it/iscriversi
Admission of transfer students and students already holding a degree
Students transferring from another degree programme of the University of Milan or another university will not be required to take the TOLC test, provided that they are admitted to years subsequent to Year I. The same applies to applicants who already hold a university degree.
Applicants falling into these categories must submit a specific request for recognition of prior academic learning, using the dedicated online service indicated in the call for applications.
The request must include a full transcript of records (listing all exams and the respective scientific-disciplinary sectors, credits and grades) along with the course syllabi. For more details on this procedure and the relevant timeframe, please refer to the call for applications.
Transfer students and degree-holders who are admitted to Year I will have to take the test (TOLC-S, TOLC-I or other equivalent tests approved by the Academic Board).
Additional learning requirements (OFA) and remedial activities
Students who do not score at least 10 points in the Mathematics module of the TOLC test will have to fulfil additional learning requirements (OFA).
These requirements can be met by passing part A (Syllabus) of the Elements of Basic Mathematics exam by December 2026. Students who do not fulfil their OFA may not take any second-year exams before passing one of the following exams: Algebra 1, Mathematical Analysis 1, Geometry 1.
For further information, please visit https://matematica.cdl.unimi.it/it/studiare/le-matricole
Call for applications
Please refer to the call for admission test dates and contents, and how to register.
Application for matriculation: from 15/07/2026 to 30/09/2026
Online services
Learn more:
Programme description and courses list
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Algebra 1 | 9 | 93 | Italian | MATH-02/A |
| Elements of Basic Mathematics | 3 | 27 | Italian | MATH-01/A MATH-02/A MATH-02/B |
| Geometry 1 | 6 | 63 | Italian | MATH-02/B |
| Mathematical Analysis 1 | 9 | 93 | Italian | MATH-03/A |
Second semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| General Physics 1 | 9 | 93 | Italian | PHYS-01/A PHYS-03/A |
| Geometry 2 | 9 | 93 | Italian | MATH-02/B |
| Mathematical Analysis 2 | 6 | 60 | Italian | MATH-03/A |
| Programming 1 | 6 | 63 | Italian | INFO-01/A |
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| English Assessment B1 (3 ECTS) | 3 | 0 | English | NN |
be activated by the A.Y. 2027/2028
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Algebra 2 | 6 | 63 | Italian | MATH-02/A |
| Geometry 3 | 9 | 93 | Italian | MATH-02/B |
| Mathematical Analysis 3 | 9 | 93 | Italian | MATH-03/A |
| Numerical Analysis 1 | 9 | 96 | Italian | MATH-05/A |
| Optional | ||||
| Mathematical Methods and Models for Applications | 6 | 60 | Italian | MATH-04/A |
| Mathematical Methods and Models for the Applications | 6 | 60 | Italian | MATH-04/A |
Second semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Geometry 4 | 6 | 60 | Italian | MATH-02/B |
| Mathematical Analysis 4 | 6 | 60 | Italian | MATH-03/A |
| Mathematical Physics 1 | 6 | 60 | Italian | MATH-04/A |
| Probability | 9 | 93 | Italian | MATH-03/B |
| Optional | ||||
| Advanced Numerical Analysis 2 | 3 | 33 | Italian | MATH-05/A |
be activated by the A.Y. 2028/2029
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| General Physics 2 | 9 | 93 | Italian | PHYS-01/A PHYS-03/A |
| Mathematical Physics 2 | 6 | 60 | Italian | MATH-04/A |
| Optional | ||||
| Advanced Topics in Mathematical Physics 2 | 3 | 30 | Italian | MATH-04/A |
| Algebra 3 | 9 | 93 | Italian | MATH-02/A |
| Geometry 5 | 9 | 78 | Italian | MATH-02/B |
| Geometry 5 | 6 | 52 | Italian | MATH-02/B |
| Laboratorio di fisica matematica | 3 | 36 | Italian | MATH-04/A |
| Mathematical Analysis 5 | 6 | 60 | Italian | MATH-03/A |
| Probability Lab | 3 | 36 | Italian | MATH-03/B |
| Programming 2 | 6 | 60 | Italian | INFO-01/A |
| Scientific Computing | 6 | 60 | Italian | MATH-05/A |
| Topics in Scientific Computing | 6 | 60 | Italian | MATH-05/A |
Second semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Algebra 4 | 9 | 78 | Italian | MATH-02/A |
| Algebra 4 | 6 | 52 | Italian | MATH-02/A |
| Algorithms and Data Structures | 9 | 93 | Italian | INFO-01/A |
| Constructive Approximation | 6 | 60 | Italian | MATH-05/A |
| Elements of Basic Mathematics 2 | 3 | 27 | Italian | MATH-01/A |
| General Physics 3 | 9 | 93 | Italian | PHYS-02/A PHYS-04/A |
| Introduction to Image Processing | 6 | 63 | Italian | MATH-02/B MATH-05/A |
| Laboratory of Mathematical Statistics | 3 | 36 | Italian | MATH-03/B |
| Mathematical Physics 3 | 9 | 93 | Italian | MATH-04/A |
| Numerical Analysis Laboratory | 3 | 36 | Italian | MATH-05/A |
| Numerical Linear Algebra | 6 | 60 | English | MATH-05/A |
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Educational Training | 3 | 0 | Italian | NN |
| Essay Written Under the Direction of a Staff Member | 3 | 0 | Italian | NN |
Conclusive activities
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Final Exam | 3 | 0 | Italian | NN |
Optional activities and study plan rules
1 - Lo studente deve conseguire 9 crediti con un insegnamento a scelta fra i seguenti:
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algebra 3 | 9 | 93 | Italian | First semester | MATH-02/A |
| Mathematical Physics 3 | 9 | 93 | Italian | Second semester | MATH-04/A |
2 - Lo studente deve conseguire 9 crediti scegliendo un insegnamento tra i seguenti:
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algorithms and Data Structures | 9 | 93 | Italian | Second semester | INFO-01/A |
| General Physics 3 | 9 | 93 | Italian | Second semester | PHYS-02/A PHYS-04/A |
Optional activities and study plan rules
3 - Nel secondo e terzo anno di corso lo studente deve acquisire 18 crediti a libera scelta.
Gli insegnamenti di Algebra 4 e Geometria 5 sono disponibili nella versione da 6 cfu e da 9 cfu: lo studente dovrà scegliere una di queste versioni.
Vengono riportati nella tabella seguente gli insegnamenti appositamente attivati dal CdM. Lo studente può anche scegliere tra tutti gli insegnamenti attivati dall'Ateneo, ed, in particolare, tra quelli attivati dal CdM in Matematica per un curriculum diverso da quello seguito dallo studente. La scelta è soggetta all'approvazione del CdM.
Si segnala inoltre che l'insegnamento di Metodi e modelli matematici per le applicazioni è incompatibile con l'Attività di Metodi e modelli matematici per le applicazioni (che rientra tra le attività a scelta per il conseguimento dei crediti di tipo f) e, analogamente, l'insegnamento di Calcolo Scientifico è incompatibile con l'Attività di Calcolo Scientifico.
Gli insegnamenti di Algebra 4 e Geometria 5 sono disponibili nella versione da 6 cfu e da 9 cfu: lo studente dovrà scegliere una di queste versioni.
Vengono riportati nella tabella seguente gli insegnamenti appositamente attivati dal CdM. Lo studente può anche scegliere tra tutti gli insegnamenti attivati dall'Ateneo, ed, in particolare, tra quelli attivati dal CdM in Matematica per un curriculum diverso da quello seguito dallo studente. La scelta è soggetta all'approvazione del CdM.
Si segnala inoltre che l'insegnamento di Metodi e modelli matematici per le applicazioni è incompatibile con l'Attività di Metodi e modelli matematici per le applicazioni (che rientra tra le attività a scelta per il conseguimento dei crediti di tipo f) e, analogamente, l'insegnamento di Calcolo Scientifico è incompatibile con l'Attività di Calcolo Scientifico.
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Advanced Numerical Analysis 2 | 3 | 33 | Italian | Second semester | MATH-05/A |
| Advanced Topics in Mathematical Physics 2 | 3 | 30 | Italian | First semester | MATH-04/A |
| Algebra 4 | 9 | 78 | Italian | Second semester | MATH-02/A |
| Algebra 4 | 6 | 52 | Italian | Second semester | MATH-02/A |
| Constructive Approximation | 6 | 60 | Italian | Second semester | MATH-05/A |
| Geometry 5 | 6 | 52 | Italian | First semester | MATH-02/B |
| Geometry 5 | 9 | 78 | Italian | First semester | MATH-02/B |
| Introduction to Image Processing | 6 | 63 | Italian | Second semester | MATH-02/B MATH-05/A |
| Mathematical Analysis 5 | 6 | 60 | Italian | First semester | MATH-03/A |
| Mathematical Methods and Models for Applications | 6 | 60 | Italian | First semester | MATH-04/A |
| Numerical Linear Algebra | 6 | 60 | English | Second semester | MATH-05/A |
| Programming 2 | 6 | 60 | Italian | First semester | INFO-01/A |
| Scientific Computing | 6 | 60 | Italian | First semester | MATH-05/A |
4 - Lo studente deve conseguire 6 crediti con una o più delle seguenti attività di tipo f:
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Educational Training | 3 | 0 | Italian | Open sessions | NN |
| Elements of Basic Mathematics 2 | 3 | 27 | Italian | Second semester | MATH-01/A |
| Essay Written Under the Direction of a Staff Member | 3 | 0 | Italian | Open sessions | NN |
| Laboratorio di fisica matematica | 3 | 36 | Italian | First semester | MATH-04/A |
| Laboratory of Mathematical Statistics | 3 | 36 | Italian | Second semester | MATH-03/B |
| Mathematical Methods and Models for the Applications | 6 | 60 | Italian | First semester | MATH-04/A |
| Numerical Analysis Laboratory | 3 | 36 | Italian | Second semester | MATH-05/A |
| Probability Lab | 3 | 36 | Italian | First semester | MATH-03/B |
| Topics in Scientific Computing | 6 | 60 | Italian | First semester | MATH-05/A |
The exam in Elements of Basic Mathematics is a prerequisite for all second- and third-year courses of the bachelor's degree.
Prescribed foundation courses
| Learning activity | Prescribed foundation courses |
|---|---|
| Advanced Numerical Analysis 2 | Elements of Basic Mathematics (compulsory) |
| Advanced Topics in Mathematical Physics 2 | Elements of Basic Mathematics (compulsory) |
| Algebra 2 | Elements of Basic Mathematics (compulsory) |
| Algebra 3 | Elements of Basic Mathematics (compulsory) |
| Algebra 4 | Elements of Basic Mathematics (compulsory) |
| Algorithms and Data Structures | Elements of Basic Mathematics (compulsory) |
| Constructive Approximation | Elements of Basic Mathematics (optional) |
| Educational Training | Elements of Basic Mathematics (optional) |
| Elements of Basic Mathematics 2 | Elements of Basic Mathematics (compulsory) |
| Essay Written Under the Direction of a Staff Member | Elements of Basic Mathematics (optional) |
| Final Exam | Elements of Basic Mathematics (optional) |
| General Physics 2 | Elements of Basic Mathematics (compulsory) |
| General Physics 3 | Elements of Basic Mathematics (optional) |
| Geometry 3 | Elements of Basic Mathematics (compulsory) |
| Geometry 4 | Elements of Basic Mathematics (compulsory) |
| Geometry 5 | Elements of Basic Mathematics (compulsory) |
| Internship in Industry | Elements of Basic Mathematics (optional) |
| Introduction to Image Processing | Elements of Basic Mathematics (compulsory) |
| Laboratorio Di Fisica Matematica | Elements of Basic Mathematics (compulsory) |
| Laboratory of Mathematical Statistics | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 3 | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 4 | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 5 | Elements of Basic Mathematics (compulsory) |
| Mathematical Methods and Models for Applications | Elements of Basic Mathematics (compulsory) |
| Mathematical Methods and Models for the Applications | Elements of Basic Mathematics (compulsory) |
| Mathematical Physics 1 | Elements of Basic Mathematics (compulsory) |
| Mathematical Physics 3 | Elements of Basic Mathematics (compulsory) |
| Mathematical Statistics | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis 1 | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis 2 | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis Laboratory | Elements of Basic Mathematics (compulsory) |
| Numerical Linear Algebra | Elements of Basic Mathematics (compulsory) |
| Probability | Elements of Basic Mathematics (compulsory) |
| Probability Lab | Elements of Basic Mathematics (compulsory) |
| Programming 2 | Elements of Basic Mathematics (compulsory) |
| Scientific Computing | Elements of Basic Mathematics (compulsory) |
| Topics in Scientific Computing | Elements of Basic Mathematics (compulsory) |
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Algebra 1 | 9 | 93 | Italian | MATH-02/A |
| Elements of Basic Mathematics | 3 | 27 | Italian | MATH-01/A MATH-02/A MATH-02/B |
| Geometry 1 | 6 | 63 | Italian | MATH-02/B |
| Mathematical Analysis 1 | 9 | 93 | Italian | MATH-03/A |
Second semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| General Physics 1 | 9 | 93 | Italian | PHYS-01/A PHYS-03/A |
| Geometry 2 | 9 | 93 | Italian | MATH-02/B |
| Mathematical Analysis 2 | 6 | 60 | Italian | MATH-03/A |
| Programming 1 | 6 | 63 | Italian | INFO-01/A |
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| English Assessment B1 (3 ECTS) | 3 | 0 | English | NN |
be activated by the A.Y. 2027/2028
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Algebra 2 | 6 | 63 | Italian | MATH-02/A |
| Geometry 3 | 9 | 93 | Italian | MATH-02/B |
| Mathematical Analysis 3 | 9 | 93 | Italian | MATH-03/A |
| Numerical Analysis 1 | 9 | 96 | Italian | MATH-05/A |
| Optional | ||||
| Mathematical Methods and Models for Applications | 6 | 60 | Italian | MATH-04/A |
| Mathematical Methods and Models for the Applications | 6 | 60 | Italian | MATH-04/A |
Second semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Mathematical Analysis 4 | 6 | 60 | Italian | MATH-03/A |
| Mathematical Physics 1 | 6 | 60 | Italian | MATH-04/A |
| Numerical Analysis 2 | 6 | 63 | Italian | MATH-05/A |
| Probability | 9 | 93 | Italian | MATH-03/B |
| Optional | ||||
| Advanced Numerical Analysis 2 | 3 | 33 | Italian | MATH-05/A |
be activated by the A.Y. 2028/2029
First semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| General Physics 2 | 9 | 93 | Italian | PHYS-01/A PHYS-03/A |
| Mathematical Physics 2 | 6 | 60 | Italian | MATH-04/A |
| Mathematical Statistics | 9 | 93 | Italian | MATH-03/B |
| Optional | ||||
| Advanced Topics in Mathematical Physics 2 | 3 | 30 | Italian | MATH-04/A |
| Geometry 5 | 9 | 78 | Italian | MATH-02/B |
| Geometry 5 | 6 | 52 | Italian | MATH-02/B |
| Laboratorio di fisica matematica | 3 | 36 | Italian | MATH-04/A |
| Mathematical Analysis 5 | 6 | 60 | Italian | MATH-03/A |
| Probability Lab | 3 | 36 | Italian | MATH-03/B |
| Programming 2 | 6 | 60 | Italian | INFO-01/A |
| Scientific Computing | 6 | 60 | Italian | MATH-05/A |
| Topics in Scientific Computing | 6 | 60 | Italian | MATH-05/A |
Second semester
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Algebra 4 | 6 | 52 | Italian | MATH-02/A |
| Algebra 4 | 9 | 78 | Italian | MATH-02/A |
| Algorithms and Data Structures | 9 | 93 | Italian | INFO-01/A |
| Constructive Approximation | 6 | 60 | Italian | MATH-05/A |
| Elements of Basic Mathematics 2 | 3 | 27 | Italian | MATH-01/A |
| General Physics 3 | 9 | 93 | Italian | PHYS-02/A PHYS-04/A |
| Introduction to Image Processing | 6 | 63 | Italian | MATH-02/B MATH-05/A |
| Laboratory of Mathematical Statistics | 3 | 36 | Italian | MATH-03/B |
| Numerical Analysis Laboratory | 3 | 36 | Italian | MATH-05/A |
| Numerical Linear Algebra | 6 | 60 | English | MATH-05/A |
Open sessions
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Optional | ||||
| Educational Training | 3 | 0 | Italian | NN |
| Essay Written Under the Direction of a Staff Member | 3 | 0 | Italian | NN |
| Internship in Industry | 3 | 0 | Italian | NN |
Conclusive activities
There are no specific sessions for these activities.
| Courses or activities | Max ECTS | Total hours | Language | SSD |
|---|---|---|---|---|
| Compulsory | ||||
| Final Exam | 3 | 0 | Italian | NN |
Optional activities and study plan rules
2 - Lo studente deve conseguire 9 crediti scegliendo un insegnamento tra i seguenti:
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Algorithms and Data Structures | 9 | 93 | Italian | Second semester | INFO-01/A |
| General Physics 3 | 9 | 93 | Italian | Second semester | PHYS-02/A PHYS-04/A |
Optional activities and study plan rules
3 - Nel secondo e terzo anno di corso lo studente deve acquisire 18 crediti a libera scelta.
Gli insegnamenti di Algebra 4 e Geometria 5 sono disponibili nella versione da 6 cfu e da 9 cfu: lo studente dovrà scegliere una di queste versioni.
Vengono riportati nella tabella seguente gli insegnamenti appositamente attivati dal CdM. Lo studente può anche scegliere tra tutti gli insegnamenti attivati dall'Ateneo, ed, in particolare, tra quelli attivati dal CdM in Matematica per un curriculum diverso da quello seguito dallo studente. La scelta è soggetta all'approvazione del CdM.
Si segnala inoltre che l'insegnamento di Metodi e modelli matematici per le applicazioni è incompatibile con l'Attività di Metodi e modelli matematici per le applicazioni (che rientra tra le attività a scelta per il conseguimento dei crediti di tipo f) e, analogamente, l'insegnamento di Calcolo Scientifico è incompatibile con l'Attività di Calcolo Scientifico.
Gli insegnamenti di Algebra 4 e Geometria 5 sono disponibili nella versione da 6 cfu e da 9 cfu: lo studente dovrà scegliere una di queste versioni.
Vengono riportati nella tabella seguente gli insegnamenti appositamente attivati dal CdM. Lo studente può anche scegliere tra tutti gli insegnamenti attivati dall'Ateneo, ed, in particolare, tra quelli attivati dal CdM in Matematica per un curriculum diverso da quello seguito dallo studente. La scelta è soggetta all'approvazione del CdM.
Si segnala inoltre che l'insegnamento di Metodi e modelli matematici per le applicazioni è incompatibile con l'Attività di Metodi e modelli matematici per le applicazioni (che rientra tra le attività a scelta per il conseguimento dei crediti di tipo f) e, analogamente, l'insegnamento di Calcolo Scientifico è incompatibile con l'Attività di Calcolo Scientifico.
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Advanced Numerical Analysis 2 | 3 | 33 | Italian | Second semester | MATH-05/A |
| Advanced Topics in Mathematical Physics 2 | 3 | 30 | Italian | First semester | MATH-04/A |
| Algebra 4 | 9 | 78 | Italian | Second semester | MATH-02/A |
| Algebra 4 | 6 | 52 | Italian | Second semester | MATH-02/A |
| Constructive Approximation | 6 | 60 | Italian | Second semester | MATH-05/A |
| Geometry 5 | 6 | 52 | Italian | First semester | MATH-02/B |
| Geometry 5 | 9 | 78 | Italian | First semester | MATH-02/B |
| Introduction to Image Processing | 6 | 63 | Italian | Second semester | MATH-02/B MATH-05/A |
| Mathematical Analysis 5 | 6 | 60 | Italian | First semester | MATH-03/A |
| Mathematical Methods and Models for Applications | 6 | 60 | Italian | First semester | MATH-04/A |
| Numerical Linear Algebra | 6 | 60 | English | Second semester | MATH-05/A |
| Programming 2 | 6 | 60 | Italian | First semester | INFO-01/A |
| Scientific Computing | 6 | 60 | Italian | First semester | MATH-05/A |
5 - Lo studente deve conseguire 3 crediti con una delle seguenti attività di tipo f:
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Educational Training | 3 | 0 | Italian | Open sessions | NN |
| Elements of Basic Mathematics 2 | 3 | 27 | Italian | Second semester | MATH-01/A |
| Essay Written Under the Direction of a Staff Member | 3 | 0 | Italian | Open sessions | NN |
| Internship in Industry | 3 | 0 | Italian | Open sessions | NN |
| Probability Lab | 3 | 36 | Italian | First semester | MATH-03/B |
6 - Lo studente deve conseguire ulteriori 3 crediti con una delle seguenti attività di tipo f:
| Courses or activities | Max ECTS | Total hours | Language | Lesson period | SSD |
|---|---|---|---|---|---|
| Laboratorio di fisica matematica | 3 | 36 | Italian | First semester | MATH-04/A |
| Laboratory of Mathematical Statistics | 3 | 36 | Italian | Second semester | MATH-03/B |
| Numerical Analysis Laboratory | 3 | 36 | Italian | Second semester | MATH-05/A |
The exam in Elements of Basic Mathematics is a prerequisite for all second- and third-year courses of the bachelor's degree.
Prescribed foundation courses
| Learning activity | Prescribed foundation courses |
|---|---|
| Advanced Numerical Analysis 2 | Elements of Basic Mathematics (compulsory) |
| Advanced Topics in Mathematical Physics 2 | Elements of Basic Mathematics (compulsory) |
| Algebra 2 | Elements of Basic Mathematics (compulsory) |
| Algebra 3 | Elements of Basic Mathematics (compulsory) |
| Algebra 4 | Elements of Basic Mathematics (compulsory) |
| Algorithms and Data Structures | Elements of Basic Mathematics (compulsory) |
| Constructive Approximation | Elements of Basic Mathematics (optional) |
| Educational Training | Elements of Basic Mathematics (optional) |
| Elements of Basic Mathematics 2 | Elements of Basic Mathematics (compulsory) |
| Essay Written Under the Direction of a Staff Member | Elements of Basic Mathematics (optional) |
| Final Exam | Elements of Basic Mathematics (optional) |
| General Physics 2 | Elements of Basic Mathematics (compulsory) |
| General Physics 3 | Elements of Basic Mathematics (optional) |
| Geometry 3 | Elements of Basic Mathematics (compulsory) |
| Geometry 4 | Elements of Basic Mathematics (compulsory) |
| Geometry 5 | Elements of Basic Mathematics (compulsory) |
| Internship in Industry | Elements of Basic Mathematics (optional) |
| Introduction to Image Processing | Elements of Basic Mathematics (compulsory) |
| Laboratorio Di Fisica Matematica | Elements of Basic Mathematics (compulsory) |
| Laboratory of Mathematical Statistics | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 3 | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 4 | Elements of Basic Mathematics (compulsory) |
| Mathematical Analysis 5 | Elements of Basic Mathematics (compulsory) |
| Mathematical Methods and Models for Applications | Elements of Basic Mathematics (compulsory) |
| Mathematical Methods and Models for the Applications | Elements of Basic Mathematics (compulsory) |
| Mathematical Physics 1 | Elements of Basic Mathematics (compulsory) |
| Mathematical Physics 3 | Elements of Basic Mathematics (compulsory) |
| Mathematical Statistics | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis 1 | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis 2 | Elements of Basic Mathematics (compulsory) |
| Numerical Analysis Laboratory | Elements of Basic Mathematics (compulsory) |
| Numerical Linear Algebra | Elements of Basic Mathematics (compulsory) |
| Probability | Elements of Basic Mathematics (compulsory) |
| Probability Lab | Elements of Basic Mathematics (compulsory) |
| Programming 2 | Elements of Basic Mathematics (compulsory) |
| Scientific Computing | Elements of Basic Mathematics (compulsory) |
| Topics in Scientific Computing | Elements of Basic Mathematics (compulsory) |
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
Tutors professors
Quality Assurance Delegate
Reference structures
Contacts
- Degree programme administration
via Celoria, 20
https://informastudenti.unimi.it/saw/ess?AUTH=SAML
+390250316122
su appuntamento - Mathematics Final Exam Organization Board
CALANCHI Marta (Presidente), PELOSO Marco, GHILARDI Silvio, VIGNATI Marco - Mathematics Final Exam Board
TARSI C. (Presidente), MONTALTO R., MORALE D., VENERUCCI R., TERRANEO E., ALZATI A.,FIERRO F. - Bachelor's Degree Study Plan Board
BERTOLINI Marina (Presidente), SALVATORI Maura, CAUSIN Paola - Orientation and Internship Board
TORTORA Alfonso (Presidente), NALDI Giovanni, MICHELETTI Alessandra, MAGGIS Marco, COZZI Matteo, BRANCHETTI Laura - Programme Transfer and International Qualifications Recognition Board
ZAMPIERI Elena (Presidente), REGGIO Luca - Other Activities and Credit Award Board
SCACCHI Simone (Presidente), MOLTENI Giuseppe, TORTORA Alfonso - Socrates-Erasmus Board
GAETA Giuseppe (Presidente), GORI Anna, MATESSI Diego, SCACCHI Simone, PAYNE Kevin - Timetables Board
LOVADINA Carlo (Presidente), ZAMPIERI Elena, ZANOTTI Pietro - Admission Test Organization Board
TERRANEO Elide (Presidente), RIZZO Ottavio - Homework academic tutor
MAZZA Carlo - Internship academic tutors
BRANCHETTI Laura, RIZZO Ottavio - "Piano Lauree Scientifiche" academic tutor
CAUSIN Paola - Student registrar
CONTATTI, SEDI E ORARI
https://www.unimi.it/it/node/360
https://www.unimi.it/it/node/359 - Disability academic tutor
SCACCHI Simone - Web pages and website academic tutors
PALEARI Simone
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 L-35 R)-Enrolled in the Y.a. 2025/26 [FAMof1 2027]
Mathematics (Classe L-35)-Enrolled in 24/25 A.y. [F7Xof3 2027]
A.Y. 2025/2026
Mathematics (Classe L-35 R)-Enrolled in the Y.a. 2025/26 [FAMof1 2026]
Mathematics (Classe L-35)-Enrolled in 24/25 A.y. [F7Xof3 2026]
A.Y. 2024/2025
Mathematics (Classe L-35)-Enrolled from 2024/25 A.y. [F7Xof3 2025]
A.Y. 2023/2024
Mathematics (Classe L-35)-Enrolled from 2018/2019 A.y. [F7Xof2 2024]
A.Y. 2022/2023
Mathematics (Classe L-35)-Enrolled from 2018/2019 A.y. [F7Xof2 2023]
A.Y. 2021/2022
Mathematics (Classe L-35)-Enrolled from 2018/2019 A.y. [F7Xof2 2022]
A.Y. 2020/2021
Mathematics (Classe L-35)-Enrolled from 2018/2019 A.y. [F7Xof2 2021]