Mathematics

Studente che entra in facoltà
Mathematics
Course sheet
A.Y. 2024/2025
Bachelor
L-35 - Mathematics
Bachelor
180
ECTS
Access
Open with admission self-assessment test
3
Years
Course location
Milan
Language
Italian
The main objectives of the Degree Program in Mathematics are to furnish a solid foundation in the mathematical sciences, to introduce the modern formulation of the discipline, to encourage an active contact with various aspects of the field (including theoretical rigor and attention to applications), and to provide the preparation necessary to comprehend future developments in the field.
The Degree in Mathematics enables employment in both the public and private sectors for positions which require capacity for abstract reasoning, formulation and/or modelling of concrete problems and their solution though the use of tools coming from the mathematical sciences.
Recipients of the Degree in Mathematics find careers in: banks, insurance companies, polling and survey institutes, consulting and accrediting firms, software development companies, medical, biomedical and pharmacological institutes and companies, in the green economy, and in research and development divisions of large corporations, and specific industries such as transportation, telecommunication, and aerospace.
A significant portion of degree recipients in Mathematics continue their studies by enrolling in a Masters Degree Program.

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, Britain, Spain, Portugal, France, Germany, Holland, Denmark, Poland, Slovenia, Sweden, Turkey, 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.
La frequenza alle attività didattiche di ogni singolo insegnamento è fortemente consigliata.
Enrolment
Qualifications and knowledge required for admission
High school diploma or equivalent foreign qualification.
To be admitted to the Bachelor's degree programme in Mathematics, applicants must be familiar with basic mathematics and elementary logic, and demonstrate reading comprehension skills.

Admission assessment:
Admission to the Bachelor's degree programme in Mathematics is open, subject to a mandatory, non-selective, assessment test before enrolment. Candidates will have to sit for the TOLC (Test Online CISIA) at the University of Milan or any other member university of CISIA (Consortium of Inter-University Integrated Access Systems). Register to the TOLC test on the CISIA website (www.cisiaonline.it).
The tests providing access to the degree programme in Mathematics are: TOLC-S, and TOLC-I.
Only after taking one of these tests, will you be able to enrol, WHATEVER THE RESULT:
- TOLC-S, divided into 4 sections: Basic mathematics (20 questions - 50 minutes), Reasoning and problems (10 questions - 20 minutes), Reading comprehension (10 questions - 20 minutes), Basic sciences (chemistry, physics and geology - 10 questions - 20 minutes).
- TOLC-I, divided into 4 sections: Mathematics (20 questions - 50 minutes), Logic (10 questions - 20 minutes), Science (10 questions - 20 minutes), Verbal comprehension (10 questions - 20 minutes).
Each question has 5 answer options, of which only one is correct.
Score: +1 for a correct answer, -0.25 for a wrong answer, 0 for a no answer.
Each TOLC test includes an additional English section, consisting of 30 questions to be answered in 15 minutes. This section does not count toward the overall test score.
Other equivalent tests may be accepted with the prior approval of the Academic Board.
For further information please contact the Course management ([email protected])
Test structure and topics: https://www.cisiaonline.it/en/area-tematica-tolc-scienze/struttura-della-prova-e-syllabus/
Registration procedures and deadlines will be provided in the call for applications posted to the University website at https://matematica.cdl.unimi.it/it/iscriversi

Admission of transfer or graduate students
Transfer students from a degree programme of the University of Milan, or another university, and graduate students will be waived from the test requirement only if admitted to years subsequent to Year I.
To this end, they will have to submit a specific request for prior assessment of their academic records using the online service as shown in the call for applications.
These candidates must provide a full transcript of records (listing exams, subject areas, credits, grades) and attach the course syllabi. For more details and dates, please refer to the call for applications.
Students admitted to the first year will be required to take the test.

Additional learning requirements (OFA) and remedial activities
Students who have not achieved at least 10 points in the Mathematics module will have to fulfil additional learning requirements (OFA).
These requirements can be met by passing part A (Syllabus) of the Basic Mathematics exam by December 2023. Students who do not fulfil their OFA may not take any second-year exams before passing one of the following exams: Algebra I, Mathematical Analysis I, Geometry I.
Learn more at 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 15/07/2024 to 30/09/2024

Read the Call

Online services
Learn more:
Programme description and courses list
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 1 9 93 Italian MAT/02
Elements of Basic Mathematics 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 1 6 63 Italian MAT/03
Mathematical Analysis 1 9 93 Italian MAT/05
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 1 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Geometry 2 9 93 Italian MAT/03
Mathematical Analysis 2 6 63 Italian MAT/05
Programming 1 6 63 Italian INF/01
be activated by the A.Y. 2025/2026
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 2 6 63 Italian MAT/02
Geometry 3 9 93 Italian MAT/03
Mathematical Analysis 3 9 93 Italian MAT/05
Numerical Analysis 1 9 96 Italian MAT/08
Optional
Mathematical Methods and Models for the Applications 6 60 Italian MAT/07
Topics in Scientific Computing 6 60 Italian MAT/08
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Geometry 4 6 60 Italian MAT/03
Mathematical Analysis 4 6 60 Italian MAT/05
Mathematical Physics 1 6 60 Italian MAT/07
Probability 9 93 Italian MAT/06
be activated by the A.Y. 2026/2027
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 2 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 2 6 60 Italian MAT/07
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
General Physics 3 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Laboratory of Mathematical Statistics 3 36 Italian MAT/06
Mathematical Physics 3 9 93 Italian MAT/07
Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 3 0 Italian
Optional activities and study plan rules
1 - The student must obtain 9 credits with a course of choice among the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algebra 3 9 93 Italian First semester MAT/02
Mathematical Physics 3 9 93 Italian Second semester MAT/07
3 - During the second and the third year of the course the student will have to acquire 18 credits free of choice.
The teachings specifically activated by CDM are reported annually in the Programme Description (Manifesto). The student will also be able to choose among all the courses activated by the University, and in particular among those activated by the CDM in Mathematics for a curriculum different from that followed by the student. The choice is subject to the approval of the CDM.
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Algebra 3 9 93 Italian MAT/02
Geometry 5 9 78 Italian MAT/03
Mathematical Methods and Models for Applications 6 60 Italian MAT/07
Probability Lab 3 36 Italian MAT/06
Programming 2 6 60 Italian INF/01
Scientific Computing 6 60 Italian MAT/08
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Algebra 4 6 60 Italian MAT/02
Algorithms and Data Structures 9 93 Italian INF/01
Constructive Approximation 6 60 Italian MAT/08
Elements of Basic Mathematics 2 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Introduction to Image Processing 6 63 Italian MAT/03 MAT/08
Numerical Analysis Laboratory 3 36 Italian MAT/08
Numerical Linear Algebra 6 60 English MAT/08
Open sessions
There are no specific sessions for these activities (e.g. open online courses).
Courses or activities ECTS Total hours Language SSD
Compulsory
English Assessment B1 (3 ECTS) 3 0 English
Optional
Educational Training 3 0 Italian
Essay Written Under the Direction of a Staff Member 3 0 Italian
Optional activities and study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algorithms and Data Structures 9 93 Italian Second semester INF/01
General Physics 3 9 93 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
4 - The student must obtain 6 credits with one or more of the following F-type activities:
Courses or activities ECTS Total hours Language Lesson period SSD
Educational Training 3 0 Italian Open sessions
Elements of Basic Mathematics 2 3 27 Italian Second semester MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Essay Written Under the Direction of a Staff Member 3 0 Italian Open sessions
Laboratory of Mathematical Statistics 3 36 Italian Second semester MAT/06
Mathematical Methods and Models for the Applications 6 60 Italian First semester MAT/07
Numerical Analysis Laboratory 3 36 Italian Second semester MAT/08
Probability Lab 3 36 Italian First semester MAT/06
Topics in Scientific Computing 6 60 Italian First semester MAT/08
For the students who matriculated from the Academic Year 2019/2020 on, passing the exam of the course "Elementi di Matematica di Base" is mandatory for the exams of all the courses of the second and the third year. This rule applies to all the Curricula. Furthermore, the students should take into account the teachers' suggestions regarding possible preliminary useful courses.
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 1 9 93 Italian MAT/02
Elements of Basic Mathematics 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 1 6 63 Italian MAT/03
Mathematical Analysis 1 9 93 Italian MAT/05
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 1 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Geometry 2 9 93 Italian MAT/03
Mathematical Analysis 2 6 63 Italian MAT/05
Programming 1 6 63 Italian INF/01
be activated by the A.Y. 2025/2026
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 2 6 63 Italian MAT/02
Geometry 3 9 93 Italian MAT/03
Mathematical Analysis 3 9 93 Italian MAT/05
Numerical Analysis 1 9 96 Italian MAT/08
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Calcolo numerico 2 6 60 Italian MAT/08
Mathematical Analysis 4 6 60 Italian MAT/05
Mathematical Physics 1 6 60 Italian MAT/07
Probability 9 93 Italian MAT/06
be activated by the A.Y. 2026/2027
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 2 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 2 6 60 Italian MAT/07
Mathematical Statistics 9 93 Italian MAT/06
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
General Physics 3 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Introduction to Image Processing 6 63 Italian MAT/03 MAT/08
Laboratory of Mathematical Statistics 3 36 Italian MAT/06
Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 3 0 Italian
Optional activities and study plan rules
3 - During the second and the third year of the course the student will have to acquire 18 credits free of choice.
The teachings specifically activated by CDM are reported annually in the Programme Description (Manifesto). The student will also be able to choose among all the courses activated by the University, and in particular among those activated by the CDM in Mathematics for a curriculum different from that followed by the student. The choice is subject to the approval of the CDM.
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Geometry 5 9 78 Italian MAT/03
Mathematical Methods and Models for Applications 6 60 Italian MAT/07
Probability Lab 3 36 Italian MAT/06
Programming 2 6 60 Italian INF/01
Scientific Computing 6 60 Italian MAT/08
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Algebra 4 6 60 Italian MAT/02
Algorithms and Data Structures 9 93 Italian INF/01
Constructive Approximation 6 60 Italian MAT/08
Elements of Basic Mathematics 2 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Numerical Analysis Laboratory 3 36 Italian MAT/08
Numerical Linear Algebra 6 60 English MAT/08
Open sessions
There are no specific sessions for these activities (e.g. open online courses).
Courses or activities ECTS Total hours Language SSD
Compulsory
English Assessment B1 (3 ECTS) 3 0 English
Optional
Educational Training 3 0 Italian
Essay Written Under the Direction of a Staff Member 3 0 Italian
Internship in Industry 3 0 Italian
Laboratorio di fisica matematica 3 36 Italian MAT/07
Optional activities and study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algorithms and Data Structures 9 93 Italian Second semester INF/01
General Physics 3 9 93 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
5 - Lo studente deve conseguire ulteriori 3 crediti con una delle seguenti attività di tipo f.
Courses or activities ECTS Total hours Language Lesson period SSD
Laboratorio di fisica matematica 3 36 Italian Open sessions MAT/07
Laboratory of Mathematical Statistics 3 36 Italian Second semester MAT/06
Numerical Analysis Laboratory 3 36 Italian Second semester MAT/08
6 - The student must obtain 3 credits with one or more of the following F-type activities.
Courses or activities ECTS Total hours Language Lesson period SSD
Educational Training 3 0 Italian Open sessions
Elements of Basic Mathematics 2 3 27 Italian Second semester MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Essay Written Under the Direction of a Staff Member 3 0 Italian Open sessions
Internship in Industry 3 0 Italian Open sessions
Probability Lab 3 36 Italian First semester MAT/06
For the students who matriculated from the Academic Year 2019/2020 on, passing the exam of the course "Elementi di Matematica di Base" is mandatory for the exams of all the courses of the second and the third year. This rule applies to all the Curricula. Furthermore, the students should take into account the teachers' suggestions regarding possible preliminary useful courses.
Learn more
Location
Milan
Head of study programme
Quality Assurance Delegate
Contacts
  • Degree programme administration
    via Cesare Saldini 50
    https://informastudenti.unimi.it/saw/ess?AUTH=SAML
    +390250316107
    09.30-11.30
  • Mathematics Final Exam Organization Board
    CALANCHI Marta (Presidente), PELOSO Marco, GHILARDI Silvio, VIGNATI Marco
  • Bachelor's Degree Study Plan Board
    BERTOLINI Marina (Presidente), SALVATORI Maura, CAUSIN Paola
  • Mathematics Final Exam Board
    TARSI Cristina (Presidente), CARATI Andrea, MORALE Daniela, VENERUCCI Rodolfo, TERRANEO Elide, ALZATI Alberto
  • Programme Transfer and International Qualifications Recognition Board
    ZAMPIERI Elena (Presidente), REGGIO Luca
  • Orientation and Internship Board
    TORTORA Alfonso (Presidente), NALDI Giovanni, MICHELETTI Alessandra, MAGGIS Marco, COZZI Matteo, BRANCHETTI Laura
  • Socrates-Erasmus Board
    GAETA Giuseppe (Presidente), GORI Anna, MATESSI Diego, SCACCHI Simone, PAYNE Kevin
  • Other Activities and Credit Award Board
    SCACCHI Simone (Presidente), MOLTENI Giuseppe, TORTORA Alfonso
  • Admission Test Organization Board
    TERRANEO Elide (Presidente), RIZZO Ottavio
  • Timetables Board
    ZAMPIERI Elena (Presidente), LOVADINA Carlo, ZANOTTI Pietro
  • Homework academic tutor
    MAZZA Carlo
  • Web pages and website academic tutors
    PALEARI Simone, TURRINI Cristina
  • "Piano Lauree Scientifiche" academic tutor
    CAUSIN Paola
  • Internship academic tutors
    RIZZO Ottavio, BRANCHETTI Laura
  • 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

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

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

The University also offers:

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

Scholarships and benefits

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

Learn more