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During the academic year 1986-87, representatives of Universität Kaiserslautern (D), Johannes Kepler Universität Linz (A), Technische Universiteit Eindhoven (NL), University of Oxford (UK), Università di Milano (I), Norges Teknisk Naturvitenskapelige Universitet (Trondheim, N) and Rolf Nevanlinna Instituutti (Helsinki, Fin, acting as coordinating centre for several cooperating Finnish universities) funded the European Consortium for Mathematics in Industry (ECMI). ECMI now includes tenths of academic and industrial partners throughout all Europe. Find here an up-to-date list of the ECMI teaching centers.

The purposes of ECMI are:
• to promote the use of mathematical models in industry;
• to educate industrial mathematicians to meet the growing demand for such experts;
• to operate on a European scale.

The main instruments in obtaining these goals are collaboration on the development of course curricula in mathematical disciplines relevant for applications in industry and commerce. The educational coordination is conducted by the ECMI Educational Committee with representatives from each participating university.

The Consortium issues a Certificate in Industrial Mathematics, which is a “quality statement” recognised by all the universities of the Consortium. The certificate is awarded to students of the MSc (Laurea Magistrale) who, beyond the standard requirements of the Master programme, fulfill the following requirements:
1. Have participated to a Modelling Week, organized every year by ECMI, usually in summer. It is advised to participate to a modelling week during the second year of the Laurea Magistrale (MSc).
2. Have spent at least one semester at (preferably) one of the universities of the ECMI Consortium or (upon approval) another university, to follow courses or to prepare the final thesis. Note that most of the ECMI universities offer courses in English during the MSc studies. This requirement is not strictly necessary whilst strongly advised. Note: students can use an Erasmus/Socrates programme to spend a period in the foreign university.
3. Have attended an academic course/laboratory in Mathematical Modeling.
4. Have prepared a final Thesis in Industrial Mathematics, in collaboration with companies or research centers, written in English. The thesis can also be prepared during a period spent abroad, with an advisor from the hosting university and an advisor from the University of Milan. It can be joined to an industrial internship.


ECMI at University of Milano

The ECMI programme is embedded into the Master Degree in Mathermatics (120 ECTS, two years). Upon admission into the Master Degree, admission into the ECMI programme further requires:
prerequisite courses at bachelor level for at least 12ects among the ones listed in Tab.1
good communication skills in English both orally and in writing

Tab. 1: prerequisites – Bachelor level (Laurea triennale)
Italian sector Name
MAT05 Calculus 4 (Analisi 4)
MAT08 Numerical Analysis 2 (Calcolo numerico 2)
MAT06 Probability and Statistics 2 (Calcolo delle Probabilità e Statistica Matematica)

Students enrolling in the ECMI certificate programme in Milano must fulfill the requirement of Curriculum C (Curriculum Industriale). In addition, students enrolling in the ECMI certificate programme in Milano must choose courses according to:

• At least 15 ects chosen among the following courses  (Tab 1C):
o Real analysis (Analisi reale)   9ects
o Elements of functional analysis (Elementi di analisi funzionale)    6ects
o Partial derivatives equations (Equazioni alle derivate parziali)   6ects

The student can then choose between two branches.
Branch A: Technomathematics
• At least 9 ects chosen among the following courses  (Tab 1C):
o Mathematical Statistics (Statistica Matematica)      9 ects
o Stochastic calculus and application (Calcolo stocastico ed applicazioni)     9ects

• At least 9 ects chosen among the following courses  (Tab 1C):
o Numerical methods for PDE’s I (Metodi numerici per EDP 1)   9 ects
o Numerical methods for PDE’s II (Metodi numerici per EDP 2)    9ects
o Optimization (Ottimizzazione)    6ects

• At least 6 ects  in the sectors MAT/06…09 chosen in the courses listed in table 2C

• At least 6 ects in the sectors MAT/xx chosen in the courses listed in tables 1C and 2C

• At least 18 ects chosen in the courses in the sectors different from MAT/xx listed in table 2C  including

• Numerical signal analysis (Elaborazione numerica dei segnali)    6ects

• 15 ects free choice, preferably  in tables 1C or 2C

Branch B: Economathematics
• 18 ects for the following courses  (Tab 1C):
• Mathematical Statistics  (Statistica Matematica)      9 ects
• Stochastic calculus and applications (Calcolo stocastico ed applicazioni)     9ects

• At least 9 ects chosing among the following courses  (Tab 1C):

- Numerical methods for PDE’s  1(Metodi numerici per EDP 1)   9 ects
- Optimization (Ottimizzazione)           6 ects   (strongly advised)

• At least 6 ects chosing among the following courses  (Tab 2C)
- Operation Research (Ricerca Operativa) 6 ects
- Complements of Operation research (Complementi di Ricerca Operativa) 6 ects

• At least 18 ects chosing among the corse with sector different from MAT/xx listed in table 2C, including
- Mathematical Finance 1 (Finanza matematica 1)   9 ects
- Mathematical Finance 2 (Finanza matematica 2)    6 ects

• 12 ects free choice, preferably in SECS/xx or MAT/xx sectors.

Students interested in the ECMI programme are required to contact prof. Paola Causin.