Academic Year 2018/19





School of Industrial and Information Engineering



Degree Programme of:


Mathematical Engineering
Laurea (Equivalent To Bachelor Of Science)


Milano Campus

1. General Information

School School of Industrial and Information Engineering
Code Reference Law365
NameMathematical Engineering
Reference LawOrdinamento 270/04
Class of degree (¹)L-8 - Information Technology
L-9 - Industrial Engineering
Degree level Laurea (Equivalent To Bachelor Of Science)
First year of activation 2008/2009
Official length of the programme 3
Years of the programme already activated 1,2,3
Official language(s) Italian
Campus Milano
Dean of the School Antonio Capone
Coordinator of the Study programme Anna Maria Paganoni
Website of the School http://www.ingindinf.polimi.it
Website of the Study programme
http://www.mate.polimi.it/im
(¹) The student belongs to one or the other Degree class depending on the education chose.


Central Student Office - Milano Leonardo
Address VIA C. GOLGI, 42 (MI)

2. General presentation of the study programme

The study programme in Mathematical Engineering, started at Politecnico di Milano in 2001, aims at giving graduates the knowledge of appropriate mathematical methods and the ability to use them in an effective way in the context of technological and management applications. This corresponds to a professional profile having basic engineering skills joined to a deep expertise in modern mathematical, numerical and statistical methods for the modelling, the analysis and the solution of various engineering problems.

 

This profile is different from other engineering educational profiles, and at the same time very different from the ones acquired in study programmes in Mathematics (pure or applied) since it includes education in Physics, Chemistry, Economics, Computer Science and many other technological disciplines typical of Engineering, which turns out to give the graduates adequate ability in solving practical problems and the mental attitude of an engineer.

 

At the international level, many institutions offer similar educational programmes. The professional profile of the Mathematical Engineer receives great appreciation in the social, industrial and economical context.

 

At present, programmes in Mathematical Engineering at Politecnico di Milano span three levels:

  • Bachelor of Science (three years)
  • Master of Science (two years)
  • PhD in Mathematical Models and Methods in Engineering (three years)

3. Learning objectives

The Bachelor of Science programme in Mathematical Engineering is characterized by a unified track in the first two years whereas in the third year it is structured in the following two tracks:

 

  • Propedeutical
  • Applied

 

The propedeutical track is preparatory for the Master of Science in Mathematical Engineering whereas the applied track is preparatory to approaching the professional world and includes a stage in a company.

 

During the Bachelor of Science students may complete their education with a period of study spent abroad thanks to the several existing partnerships with international Institutions.

 

The Bachelor of Science programme has the final goal of promoting the education of young laureates to approach the analysis of complex systems through the combined adoption of scientific knowledge and advanced mathematical tools. To this purpose, three are the main education targets for a bachelor in Mathematical Engineering:

 

1) To know and understand the scientific principles and the foundations of Engineering.

2) To identify solutions by the application of the approach of science and engineering (understanding, elaborating and modeling by relying on a solid multidisciplinary education).

3) To interact in a professional and effective manner with partners from different backgounds or disciplines.

 

Achieving objective nr. 1 yields the laureate competences that are transversal across diverse disciplines, an adequate level of knowledge of the basic subjects of engineering, together with a skill on modern mathematical, numerical and statistical approaches. In particular, besides gaining a basic scientific education, a bachelor in Mathematical Engineering acquires the ability to master the modern scientific programming techniques and a number of computer codes widely employed in industrial applications; an adequate knowledge to understand a large class of mathematical models (of differential, discrete or other kind); the knowledge of mathematical modeling for the analysis of random phenomena or characterized by variability and/or uncertainty; the knowledge of statical modeling for the treatment and analysis of data.

 

The continuous synergy between education in Mathematics (mainly in its applications) and in disciplines of marked engineering nature is propedeutical and essential to the subsequent phase of modeling, analysis and solution of real problems in design and management (objective nr. 2). As a matter of fact, a sound knowledge of engineering subjects indicates the bachelor in Mathematical Engineering which are the areas where methodological competences can be applied, and allows him/her to access (objective nr. 3) employment contexts in traditional engineering as well as in other disciplines (economics, life sciences, etc.), by contributing with specific professional skills.

 

Fulfilling the three above objectives requires knowledge and methods in the area of Information Engineering (class L-8) as well as in the area of Industrial Engineering (class L-9). In what follows, the educational targets of both classes are described in detail.

 

Qualifying educational targets of the class: L-8 Information Engineering

Bachelors in this class must:

  • adequately know the methodological and operative aspects of mathematics and other basic sciences, and should be able to employ such knowledge to interpret and describe problems in Engineering applications;
  • adequately know the methodological and operative aspects of engineering sciences, in general terms as well as specifically targeted to areas of Information Engineering in which they should be able to identify, formulate and solve problems by employing up-to-date methods, techniques and tools;
  • be able to employ techniques and tools for the design of components, systems and processes;
  • be able to conduct experiments and analyze/interpret results and data;
  • be able to understand the impact of engineering solutions in the social, physical and environmental context;
  • be aware of their professional and ethical responsabilities;
  • have a detailed knowledge of corporates and enteprises in all of their economical, management and organization aspects;
  • have a detailed knowledge of the contexts of our contemporary society;
  • have good skills in relations and decision-making
  • be able to communicate in an effective manner in at least one language of EU (written and oral), besides Italian;
  • manage the basic cognitive tools for a continuous updating of their level of knowledge.

 

Qualifying educational targets of the class L-9 Industrial Engineering

Bachelors in this class must:

  • adequately know the methodological and operative aspects of mathematics and other basic sciences, and should be able to employ such knowledge to interpret and describe problems in Engineering applications;
  • adequately know the methodological and operative aspects of engineering sciences, in general terms as well as specifically targeted to areas of Industrial Engineering in which they should be able to identify, formulate and solve problems by employing up-to-date methods, techniques and tools;
  • be able to employ techniques and tools for the design of components, systems and processes;
  • be able to conduct experiments and analyze/interpret results and data;
  • be able to understand the impact of engineering solutions in the social, physical and environmental context;
  • be aware of their professional and ethical responsabilities;
  • have a detailed knowledge of corporates and enteprises in all of their economical, management and organization aspects;
  • have a detailed knowledge of the contexts of our contemporary society;
  • have good skills in relations and decision-making
  • be able to communicate in an effective manner in at least one language of EU (written and oral), besides Italian;
  • manage the basic cognitive tools for a continuous updating of their level of knowledge.

4. Organization of the study programme and further studies

4.1 Structure of the study programme and Qualifications

The Bachelor programme in Mathematical Engineering has a three-year duration, corresponding to 180 credits. The first and second years are common to all students.  The third year is differentiated according to the choice of a track: Propedeutical for the Master of Science programme or Applied which requires a professional stage.


4.2 Further Studies

The qualification grants access to "Laurea Magistrale" (2nd degree), "Corso di Specializzazione di primo livello" (1st level Specialization Course) and "Master Universitario di primo livello" (1st level University Master)


The Bachelor Degree qualification in Mathematical Engineering grants access to any of the Italian Master of Science programmes (Laurea Magistrale) according to the limitations established by each University.

The most natural continuation is of course the Master of Science in Mathematical Engineering run at Politecnico di Milano since the academic year 2009/10. Admission to this course is also subordinated to specific conditions.


5. Professional opportunities and work market

5.1 Professional status of the degree

Bachelor graduates in Mathematical Engineering have a sound engineering education joined with knowledge of modern methods of applied mathematics, numerical analysis and statistics, which are basic tools for modelling, analyzing, and solving concrete design and management problems.


According to the classification of Bachelor degrees made by the Italian Ministry of University and Research under the educational system 270/04, the Bachelor in Mathematical Engineering belongs to the Class L 8 - Information Technology Engineering, and L 9 - Industrial Engineering. According to the law, however, the Degree issued by the University will refer to only one of the above mentioned Classes. The graduate student will belong to one or the other class according to the courses chosen within his study program (see paragraph 7.3).

Graduates with a Bachelor Degree in Mathematical Engineering can take the State Examination, a state-run, professional qualification examination enabling them to enroll under Section B (Junior Engineers) of the Engineers’ professional register. The Exam and the enrolment depend on the Class mentioned above (“Information Technology Engineering” or “Industrial Engineering”).

5.2 Careers options and profiles

The large majority of Bachelor graduates in Mathematical Engineering continue their study in a Master of Science programme. Most of them enroll in the Master of Science in Mathematical Engineering at Politecnico di Milano, but a fraction of them gets a Master degree in a foreign university.

Bachelor graduates that start a professional activity may find a job in Research and Development divisions of big firms, in study centers of industrial  or consultancy companies, in engineering firms and computing laboratories, in banks, insurance and financial companies, in public or private institutions involved in scientific or technological research.

We mention that Politecnico di Milano runs the Career Service  (http://www.careerservice.polimi.it) which acts as a contact point between graduates or  students near to graduation and the job market, coordinates the offer of industrial stages, informs on job opportunities and organizes presentations for interested companies.

 


Surveys of University Assessment Commission
https://aunicalogin.polimi.it/aunicalogin/getservizio.xml?id_servizio=204&idApp=1&idLink=4140

5.3 Qualification profile

Mathematical Engineer

 

The function in a work context:

The Bachelor in Mathematical Engineering has an adequate spectrum of basic knowledge and the forma mentis of a traditional engineer, corresponding to a professional figure characterized by originality and flexibility, able to integrate in several diverse work contexts. Thanks to a wide knowledge of modern mathematical, numerical and statistical methodologies, he/she is able to effectively contribute to modeling, analysis and solution of real problems in design, prediction, control and management.

The Bachelor Programme (law system 270/04) includes curricula that are compatible with the ministery Tables for Class L-8 (Information Enginering) and for Class L-9 (Industrial Engineering), and in both cases the title of Mathematical Engineer has a unique value. According to the law, however,the Bachelor Certificate that is delivered by the university is related to only one of the above mentioned Classes. The Bachelor will belong to one of the two classes according to the choices of exams taken during the education training. Bachelors in Mathematical Engineering will be able to participate to the state exam for professional habilitation and to subscribe to Section B of Engineering Professional Register (Junior Engineers) corresponding to the Class which the Bachelor Degree belongs to.

 

Competences associated with the function:
The Mathematical Engineer has specific competences to:
- analyze of complex systems involving multidisciplinary skills and elements of knowledge;
- harmonize basic scientific knowledge with the management and adoption of advanced methods and tools;
- solve problems arising in diverse scientific contexts, concerning artificial and/or man-crafted systems as well as natural systems in which the human presence is absent or negligible;
- use contemporary computer codes and software to handle and treat objects and mathematical structures;
- apply the modern techniques of scientific programming (for example, object-oriented programming);
- understand differential and discrete models or, according to the chosen professional orientation, use the information obtained from experimental data in inferential terms for the estimate, verification and adaptation of mathematical models, as well as for the heuristic constriuction of such models;
- employ simulation techniques for the study of the model and for its optimal calibration.

 

Job opportunities:
Flexibility and capacity of studying problems of diverse nature promote the access of Bachelors in Mathematical Engineering to companies or industries that do not require specific sectorial competences. On the other hand, there exist valid job opportunities in markedly specialized contexts such as:
- Research & Development centers or computing laboratories in large and medium-size enterprises;
- production companies of industrial goods requiring a level of knowledge based on the use of advanced mathematical procedures;
- service companies, banks, insurance, financial and consulting companies;
- engineering enterprises or companies devoted to the development of computational software; 
- public or private institutions and research laboratories.


6. Enrolment

6.1 Access requirements

Italian secondary school leaving qualification or other comparable foreign qualification (level 4 EQF)


Admission to the Mathematical Engineering Bachelor programme requires passing a test. The admission test is the same for all the engineering Bachelor programmes at Politecnico di Milano. It is required in order to assess prospective students’ attitude and preparation. We mention that it is possible, and often convenient, to pass the test much time before the beginning of the course, and that repetition upon failure is admitted several times. Detailed information is available at http://www.polinternational.polimi.it/


Students who are already enrolled in other degree programs or at other Universities and wish to transfer to the Mathematical Engineering Bachelor programme can request the validity of any credits they have already earned. To this end they must apply  to the Transfers and Exam Recognition Committee (e-mail: trasferimenti-l-ingegneria-matematica@polimi.it).

6.2 Requested knowledge

Adequate preparation and attitude to scientific study is required. As explained above, this is assessed by the admission test.
The educational offer at the Politecnico di Milano
https://aunicalogin.polimi.it/aunicalogin/getservizio.xml?id_servizio=204&idApp=1&idLink=4943

6.3 Deadlines for admission and number of places available

How to become a student at Politecnico di Milano
https://aunicalogin.polimi.it/aunicalogin/getservizio.xml?id_servizio=204&idApp=1&idLink=2984

6.4 Tutoring and students support

The present document contains many contact links for getting further information, see in particular paragraph 10 below. Other contacts may be found in the study programme website

http://www.mate.polimi.it/im/

Students will be informed on tutoring activities during their career by the School and the CCS. Politecnico di Milano, in the web site Polinternational reported below, provides a lot of general information.


Polinternational
https://aunicalogin.polimi.it/aunicalogin/getservizio.xml?id_servizio=204&idApp=1&idLink=2184

7. Contents of the study Program

7.1 Programme requirements

180 credits are required to obtain the Bachelor degree. They correspond to all the educational activities, a final work and possibly a stage.


In particular, the credits required for the various educational activities are classified as follows in the tables below:

  • A - basic topics
  • B - characteristic topics
  • C - additional topics
  • D - others (e.g. final work, professional thesis etc.)

7.2 Mode of study

This programme requires a full time attendance. Educational activities include lectures, exercise classes, and possibly computer and experimental laboratories.


The study program is organized on a full-time basis, divided into student participation to classes and laboratory activities.

7.3 Detailed learning objectives

1 Year courses - Track: MND - Non Diversificato


Code Educational activities SSD Course Title Language Sem CFU CFU Group
083215AMAT/05ANALISI MATEMATICA I110,010,0
061202B,CING-INF/05INFORMATICA A110,010,0
083217ACHIM/07CHIMICA17,07,0
083214AMAT/03ALGEBRA LINEARE E GEOMETRIA25,05,0
083024AFIS/01FISICA SPERIMENTALE I210,010,0
061204BING-IND/35ECONOMIA E ORGANIZZAZIONE AZIENDALE D210,010,0
083229CSECS-S/01STATISTICA25,05,0

2 Year courses - Track: MND - Non Diversificato


Code Educational activities SSD Course Title Language Sem CFU CFU Group
096350AMAT/05ANALISI MATEMATICA II110,010,0
083224AFIS/01FISICA SPERIMENTALE II110,010,0
083223BING-IND/31ELETTROTECNICA110,010,0
052488A,CMAT/08MATEMATICA NUMERICA210,0
[2,0Innovative teaching]
10,0
085924AMAT/06PROBABILITA'210,010,0
083225BING-INF/04FONDAMENTI DI AUTOMATICA210,010,0

3 Year courses - Track: MAP - Applicativo


Code Educational activities SSD Course Title Language Sem CFU CFU Group
085925AMAT/05ANALISI MATEMATICA III15,05,0
083220CMAT/09FONDAMENTI DI RICERCA OPERATIVA15,0
052490AMAT/07MECCANICA RAZIONALE E DEI CONTINUI110,0
[1,0Innovative teaching]
10,0
085930BING-INF/01ELETTRONICA (a)110,010,0
097575CING-IND/10TERMODINAMICA E PROCESSI ENERGETICI (b)110,0
073469CICAR/08SCIENZA DELLE COSTRUZIONI210,010,0
085932A,CMAT/06
SECS-S/01
MODELLI E METODI DELL'INFERENZA STATISTICA210,010,0
086286----STAGE (LP MTM)--115,015,0
086286----STAGE (LP MTM)--215,0
086285----FINAL WORK--13,03,0
086285----FINAL WORK--23,0

(a) Distinctive for the class L-8 (Information Technology).
(b) Distinctive for the class L-9 (Industrial Engineering).

3 Year courses - Track: MFO - Formativo


Code Educational activities SSD Course Title Language Sem CFU CFU Group
085925AMAT/05ANALISI MATEMATICA III15,05,0
052490AMAT/07MECCANICA RAZIONALE E DEI CONTINUI110,0
[1,0Innovative teaching]
10,0
085930BING-INF/01ELETTRONICA (a)110,010,0
097575CING-IND/10TERMODINAMICA E PROCESSI ENERGETICI (b)110,0
083220CMAT/09FONDAMENTI DI RICERCA OPERATIVA15,05,0
073469CICAR/08SCIENZA DELLE COSTRUZIONI210,010,0
052491CSECS-S/06FINANZA MATEMATICA I210,0
[2,0Innovative teaching]
20,0
085932A,CMAT/06
SECS-S/01
MODELLI E METODI DELL'INFERENZA STATISTICA210,0
078047A,CMAT/05
MAT/08
METODI ANALITICI E NUMERICI DELLE E.D.P.210,0
094892AMAT/05METODI ANALITICI DELLE E.D.P.25,0
094891CSECS-S/01INFERENZA STATISTICA25,0
086285----FINAL WORK--13,03,0
086285----FINAL WORK--23,0

(a) Distinctive for the class L-8 (Information Technology).
(b) Distintctive for the class L-9 (Industrial Engineering).

7.3.1 Innovative education


Within the framework of the Innovative Education Programme promoted by the University, starting from the Academic Year 2018/19 a number of initiatives of innovative education will be activated for the courses listed in the Table below:

 

Code / Course title

Characteristics of the course

PSPA

Innovative CFU

052488 – Numerical Mathematics

Obligatory

II Year

10 CFU

 

MND

 

2 CFU

052490 – Rational and Continuum Mechanics

Obligatory

III Year

10 CFU

 

MAP, MFO

 

1 CFU

052491 – Mathematical Finance I

Optional

III Year

10 CFU

 

MFO

 

2 CFU


7.3.2 Request of Special Study Plans


The Faculty of the Bachelor programme  (CCS)  will examine proposals of study plans different from the ones indicated above (paragraph 7.3) only in the following exceptional cases:

  • students whose study plan has been specifically tailored ("autonomous" study plan) as a consequence of modifications of the General Structure of the Courses;
  • students who need a special adaptation to participate to international exchange programs. In this case the new plan has to be examined by the International Exchange Committee of the CCS.

In particular, students wishing to apply for admission to the Master of Science in Nuclear Engineering at Politecnico di Milano can submit at the 3rd year an autonomous study plan including the following courses:

 

Code

Educational activities

SSD

Course Title

 Sem 

 CFU 

CFU Group

085925

A

MAT/05

MATHEMATICAL ANALYSIS III

1

5.0

5.0

052490

A

MAT/07

RATIONAL AND CONTINUUM MECHANICS

1

10.0

10.0

085929

B

ING-IND/10

THERMODYNAMICS AND HEAT TRANSFER (a)

1

10.0

10.0

089540

--

FIS/03

ATOMIC PHYSICS

1

10.0

10.0

073469

C

ICAR/08

MECHANICS OF ELASTIC STRUCTURES

2

10.0

10.0

094893

--

ING-IND/20

PHYSICS OF NUCLEUS

2

5.0

5.0

094891

C

SECS-S/01

STATISTICAL INFERENCE

2

5.0

5.0

094892

A

MAT/05

ANALYTICAL METHODS FOR P.D.E. 

2

5.0

5.0

086285

--

--

FINAL WORK (LP MTM)

1

3.0

3.0

086285

--

--

FINAL WORK (LP MTM)

2

3.0

(a) Distinctive course for the Degree class L-9 (Industrial Engineering).

 

For further information on the Master programme in Nuclear Engineering one can consult the web page: http://www.energia.polimi.it/english/education/l_nucleare.php.


7.3.3 Free movers


As for the "free movers" (students aiming to attend a course offered by other universities outside the official exchange programmes of Politecnico di Milano), in the case where the offering university requires the Faculty of the Study Programme (CCS) to produce a "nomination", such a document will be delivered only if the requiring university belongs to the top international ranking (within the first 150 in the QS ranking). Upon request of the student, the course in object, if approved, will be considered as "additional exam" and qualified as "Generic Credit" in the pertinent Academic Fields and Disciplines List (SSD, from the Italian acronym). The Faculty will not consider any request of validation of the exam within the official Study Plan of the student.


7.3.4 Possibility of acquiring credits for the Master of Science degree (Laurea Magistrale)


During the Bachelor program, students interested in future admission into Master of Science program may:

  • A1) earn credits form extra MSc courses, included in their personal study plan. These credits  are considered excess credits and  recognized as part of the 120 credits needed to acquire the MSc degree.
  • A2) acquire attendance status in MSc courses.  This gives the possibility to anticipate the examination in the chosen courses.
  • A3) Earn credits from courses added to the regular study plan, established by an ad hoc Master of Science Admissions Committee; these credits are considered “in addition” to the 120 needed to be awarded the Master of Science.

 

In the period between the award of the Bachelor Degree and the enrolment into the MSc program,  it is possible to:

  • B1) earn credits by registering and pass the relative exam, in single courses of the MSc These credits are considered as part of the 120 credits needed to acquire the MSc degree.
  • B2) acquire attendance status only in MSc courses as in A2).
  • B3) Earn credits in A3).

 

The following limitations must be taken into account:

  1. the total number of credits (by passing exams and/or by acquiring attendance status) that can be considered part of the 120 credits needed to acquire the MSc degree (A1+A2+B1+B2) is limited to 32. Thus any additional credit earned exceeding 32 will not be taken into account.
  2. In any case the number of credits acquired through registration to “single courses” cannot be greater than 80, including  those in A3 and B3 .

7.4 Foreign language

We refer to the following web site of Politecnico di Milano.
Language courses
https://aunicalogin.polimi.it/aunicalogin/getservizio.xml?id_servizio=204&idApp=1&idLink=3064

7.5 Degree examination

The general rules for graduation exams are established in the Regulations for graduation examinations approved by the School of Industrial and Information Engineering.

According to its specific requirements and peculiarities, the Faculty of the programme in Mathematical Engineering has introduced supplementary rules. See:

http://www.ingindinf.polimi.it/en/didactics/bachelors-and-masters-degree-exams/

Below we report the main information on those rules, that also depend on the choice between the Propedeutic or Applied track and on possible participation in an international exchange program.

 

Propedeutical track

Students have the choice between two graduation exam procedures:

  1. Reading course: the student chooses a topic, in agreement with a Professor of Politecnico (part of a book, a scientific paper etc.); the final exam consists in an oral exposition of the chosen topic in front of a Faculty Committee. The maximum score is 5 points.
  2. Written Thesis on a subject chosen in agreement with a Professor of Politecnico. Two students (at most) may agree to work together on the same subject. The final exam consists in a defense of her/his/their work in front of a Faculty committee. The maximum score is 7 points (8 in exceptional cases).

 

Applied track

An ad hoc Faculty Stage Committee (e-mail: tirocini-ingegneria-matematica@polimi.it) assigns a stage to the student, in agreement with a Professor of Politecnico (official Supervisor, or Academic Tutor) and under the supervision of an External Tutor, a member of the company where the stage takes place. The final exam consists in a discussion of a written report of the stage activity, that takes into account a written report of the External Tutor. The discussion takes place in front of a Faculty Committee, with the possible participation of the External Tutor. The maximum score is 7 points (8 in exceptional cases).

Upon request by the student, instead of a discussion of the stage activity, the graduation exam may consist in a Reading course as described above. In this case, a written report on the stage activity is still required, but it will not be discussed by the Graduation Committee.

 

International exchange programs and special cases

Special procedures are prepared for students who have attended an intensive course within the ATHENS program, or who are enrolled in a TIME double degree programme, or who carry our the work on the Bachelor thesis abroad or in another university or research center.

For all kind of graduation exams (reading course, written thesis, stage activity report etc.) the following rules are enforced:

  1. Students starting to prepare their graduation work are required to inform the Secretary of the Graduation Board (e-mail: lauree-l-ingegneria-matematica@polimi.it) reporting the planned graduation exam, the subject, the name of the Supervisor and of the second author (if any).
  2. A copy of the written work (if any) must be submitted to the Mathematics Department Student Office at least one day prior to the graduation session.
  3. Detailed rules to determine the final grade, possibily cum laude, will be made available to students in due time.

Information concerning general rules and regulations, session calendars, registration and consignment of theses is available at
https://aunicalogin.polimi.it/aunicalogin/getservizio.xml?id_servizio=204&idApp=1&idLink=3144

8. Academic calendar

On the web site of the School of Industrial and Information Engineering (http://www.ingindinf.polimi.it) the Calendar of the current academic year can be downloaded. The general Academic Calendar of Politecnico is available at the following web site:


Academic calendar
https://aunicalogin.polimi.it/aunicalogin/getservizio.xml?id_servizio=204&idApp=1&idLink=3224

9. Faculty

The names of professors for each Course, together with their subject, will be available on the degree programme starting from the month of September.
The degree programme is annually published on the website of Politecnico di Milano.

The names of the teachers of the courses of the Master programme, as well as detailed information on each course, are made available to students much time in advance with respect to the beginning of the teaching sessions.


10. Infrastructures and laboratories

Teaching takes place in Milan at the Leonardo Campus of the Politecnico, in classical or computer-equipped lecture rooms.

Students are invited to regularly consult their university e-mail, as well as information and news on the school websites:

School of Industrial and Information Engineering: http://www.ingindinf.polimi.it

Mathematical Engineering study programme: http://www.mate.polimi.it/im/


A list of e-mail contacts are made available to students for obtaining specific information or for sending applications and requests:

Study Plans (Bachelor degree): piani-l-ingegneria-matematica@polimi.it

Erasmus program and international exchanges: erasmus-dmat@polimi.it

Stages: tirocini-ingegneria-matematica@polimi.it

Secretary of the Graduation Board: lauree-l-ingegneria-matematica@polimi.it


11. International context

The international context, relative to European countries with an economy and cultural level comparable to Italy, is characterized by a wider and more diversified education spectrum in Mathematics with respect to the situation in Italy. This is also due  to a better connection between academy on one side and industrial and financial world on the other one, mainly concerning transfer of scientific and technological innovation. As a consequence, at the Technology Centers or Schools abroad it is often possible to enter educational projects characterized by mathematically oriented professional profiles.

Examples are the EPFL at Lausanne, the ETH at Zürich, the École Centrale de Paris, the TU Delft, the KTH at Stockholm, the TU at Eindhoven, the TU at Kaiserslautern, where there are educational projects in industrial mathematics and/or in computational science. These programs aim to form a professional mathematician with knowledge in the key technology sectors, or to form an engineer profile  specialized on the mathematical modelling of applied problems and on the consequent analytical and numerical analysis.

In USA we mention the projects (at the level of Bachelor, Master or PhD) at the University of Texas at Austin, at the University of California in Santa Barbara, at the Institute for Mathematics and its Applications (I.M.A) at the University of Minnesota, sponsored by the Society for Industrial and Applied Mathematics.

Analogously, education projects in statistics and mathematics, oriented towards the modelling of stochastic phenomena and to the analysis of complex data finalized to engineering, physics and biology applications characterize curricula of several university in the Anglo-Saxon area. A prestigious example is provided by the program in Mathematical and Computational Science of the Statistics Department of Stanford University at Palo Alto, California; other analogous  programs are offered, for instance, by the Johns Hopkins University at Baltimora, by the University of Minnesota and by the Warwick University in U.K.

Finally, educational programs oriented to the modelling and to the quantitative aspects of Finance are present in curricula of several European engineering schools. We mention the Master of Science in Quantitative Finance at the ETH  and the University of Zürich, the programme Mathématiques Financières of the École Polytechnique and other Universities in Paris, the Master in Mathematical Finance and Acutarial Science at the TU in Münich, the Finanz und Versicherung Mathematik at the TU of Vienna; a program of Mathematical Statistics and Financial Mathematics is offered at the KTH of Stockholm; one of Mathematics and Finance at the Imperial College of London.

 

These educational projects show how the mathematical engineer is already a well established professional profile in Europe and in the world.


12. Internationalization

As a useful completion of studies by an international experience promoted by the Politecnico, the Master programme Faculty welcomes proposals by students who intend to spend a period in a foreign University, taking advantage of conditions and facilities of one of the various international agreements. An overview can be found at

http://www.polimi.it/en/students/experience-abroad/

while a detailed list of partner universities for exchange programmes may be found at

https://www4.ceda.polimi.it/manifesti/manifesti/controller/extra/ScambiInternazionaliPublic.do?k_corso_la=365&lang=EN


To access international exchange programs, and obtain the corresponding grant if available, students must usually apply to admission calls, generally opened annually. For the majority of exchange programmes, applicants are evaluated and ranked. It is important that the activity abroad is clearly planned, so that it can easily validated as a part of the student's career. Foreign exchange proposals put forward by students are examined and approved by a Committee of the CCS: erasmus-dmat@polimi.it A detailed guide has been prepared by the School of Industrial and Information Engineering (in Italian):

http://www.ingindinf.polimi.it/uploads/media/Regole_mobilita_Scuola.pdf


We mention that a large number of possible activities abroad can be planned: attendance of short courses, regular courses and corresponding exams for one semester (typical of the ERASMUS program), preparation of the Master thesis, double degree programmes (typically the TIME program) etc.


Information on exchange programmes, double degree projects and international internships, European research and international relations projects are available at
https://aunicalogin.polimi.it/aunicalogin/getservizio.xml?id_servizio=204&idApp=1&idLink=4653

13. Quantitative data

The Didactic Observation Unit and the Evaluation Nucleus perform periodic analysis on the overall results analysing the teaching activities and the integration of graduates into the work world. Reports and studies are available on the website of the Politecnico di MIlano.

14. Further information

We recall that Politecnico di Milano fixes a maximum duration for each study programme: see the web site

http://www.polimi.it/en/students/from-enrolment-to-degree/loss-of-student-status/

For any further information, please visit the website of the School of Industrial and Information Engineering
http://www.ingindinf.polimi.it

Updates to the information given above will be made available on this School web site as well as on the study programme web site http://www.mate.polimi.it/im/


Only the original in Italian is valid.

15. Errata corrige