ECMI

ECMI POSTGRADUATE PROGRAMME

MATHEMATICS FOR INDUSTRY

Universita' degli Studi di Milano

Programme for students enrolled before the academic year 2010/11

 

NEWS: ECMI Summer School and Modelling Week 2010

Background

During the academic year 1986-1987, representatives of Universität Kaiserslautern (D), Johannes Kepler Universität Linz (A), Technische Universiteit Eindhoven (NL), University of Oxford (UK), Universitą di Milano (I), Norges Teknisk Naturvitenskapelige Universitet (Trondheim, N) and Rolf Nevanlinna Instituutti (Helsinki, SF, acting as coordinating centre for several cooperating Finnish universities) formed the European Consortium for Mathematics in Industry (ECMI) and initiated two year postgraduate programmes, where industrial problem solving is a prominent aim using mathematics.

The purpose of these industrial mathematics programmes is threefold:

  • 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 curriculum 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 ECMI educational programme - Universita' degli Studi di Milano

The Department of Mathematics of the University of Milan is a member of the European Consortium for Mathematics in Industry (E.C.M.I.)

Today the following ECMI universities offer industrial mathematics programmes:

|   University of Kaiserslautern   |   Technical University of Dresden   |   Johannes Kepler University   |  

|   University of Milan   |   Technical University of Eindhoven   |   Technical University of Denmark   |

|   University of Oxford   |   University of Strathclyde   |   University of Bristol   |  

|   Lappeenranta University of Technology   |   Chalmers University of Technology   |   Lund University   |  

|   The Norwegian University of Science and Technology   |  

|   Wroclaw University of Technology   |   The Autonomous University of Barcelona   |   Carlos III University, Madrid   |  

|   University of Novi Sad   |   University of South Hampton   |   Technical University of Graz   |  

|   University of Grenoble   |   University of Rouen   |

The Consortium issues a Certificate in Industrial Mathematics, signed by the president of ECMI, with two different branches: Technomatematics or Economathematics.
The Certificate, that has not a legal value but is but is a "quality statement" recognised by all the universities of the Consortium, can be awarded to students who get the MSc (Laurea Magistrale) in Mathematics or in Applied Mathematics who fulfil the following requirements

  1. Have participated to a Modelling Week, organized every year by ECMI, usually in August (click here for an example)
    • It is advised to participate to a modelling week during the second year of the Laurea Magistrale (MSc)
    • The Modelling Week in 2010 will be held in Milan and will be preceeded by a Summer School, one week long. The ECMI students from Milan are STRONGLY encouraged to participate to both.
    • Applications for participating can be sent to Alessandra Micheletti (Alessandra.Micheletti@unimi.it). Please enclose your study curriculum.
  1. Have spent at least one semester at one of the universities of the ECMI Consortium, to follow courses or to prepare the final thesis (Erasmus/Socrates programmes)
    • Note that most of the ECMI universities offer courses in English during the MSc studies. Students who want to use an Erasmus/Socrates programme to spend a period in an ECMI university are advised to inform the Milan representative in the ECMI Educational Committee (Prof. A. Micheletti), in order to keep contacts with the local representative of the hosting university.
  2. Have prepared a final  Thesis in Industrial Mathematics, in collaboration with companies or research centres, written in English (or at least an English summary of  the thesis has been produced)
    • 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
  3. In the overall curriculum resulting from the BSc and MSc degrees, the following courses (possibly also as advanced courses), or almost equivalent courses, have been included (for detailes on programs and scheduling of the courses see the web page of the Department of Mathematics - teaching):

Branch "Technomathematics":

Compulsory courses:

Analisi Reale o Analisi Funzionale I, MAT/05, 7 cfu (a, di base)
Analisi Numerica I, MAT/08, 9 cfu (a, di base)
Analisi Numerica II, MAT/08, 9 cfu (b, caratterizzante)
Equazioni alle Derivate Parziali I, MAT/05, 7 cfu (a, di base)
Statistica Matematica I, MAT/06, 9 cfu (a, di base)
Laboratorio di Modellistica Matematica, 7 CFU
Modelling School, 2 CFU (f, altre attivitą)
Modelling Week, 3 CFU (f, altre attivitą)
TOT 53 cfu

with at least 19 CFU chosen among:

Analisi Complessa, MAT/05, 7 cfu
Equazioni alle Derivate Parziali II, MAT/05, 7 cfu
Calcolo Scientifico, MAT/08, 9 cfu
Metodi di Approssimazione I, MAT/08, 9 cfu
Metodi di Approssimazione II, MAT/08, 9 cfu
Elaborazione di Immagini, MAT/03-08, 6 cfu
Sistemi Dinamici II, MAT/07, 7 cfu
Geometria Computazionale (Informatica triennale), MAT/03, 6 cfu
Meccanica dei Continui I, MAT/07, 7 cfu
Ricerca Operativa (Informatica trien.), MAT/09, 6 cfu
Calcolo delle Probabilitą I, MAT/06, 7 cfu
Calcolo Stocastico e Applicazioni I, MAT/06, 9 cfu
Statistica dei Processi Aleatori, MAT/06, 9 cfu
Finanza Matematica I, SECS-S/06, 7 cfu
TOT 19 cfu

Branch  "Economathematics":

Compulsory courses:

Finanza Matematica I, SECS-S/06, 7 cfu (tipologia c o d)
Finanza Matematica II, SECS-S/06, 7 cfu (tipologia c o d)
Analisi Reale o Analisi Funzionale I, MAT/05, 7 cfu (a, di base)
Analisi Numerica I, MAT/08, 9 cfu (a, di base)
Ricerca Operativa (informatica triennale), MAT/09, 6 cfu
Calcolo delle Probabilitą I, MAT/06, 7 cfu (a, di base)
Statistica Matematica I, MAT/06, 9 cfu (a, di base)
Calcolo Stocastico e Applicazioni I, MAT/06, 9 cfu (b, caratterizzante)
Laboratorio di Modellistica Matematica, 7 CFU (f, altre attivitą)
Modelling School, 2 CFU (f, altre attivitą)
Modelling Week, 3 CFU (f, altre attivitą)
TOT 73 CFU

with at least 7 CFU chosen among:

Economia Matematica I e/o II, SECS-S/06, 7 cfu
Analisi Numerica II, MAT/08, 9 cfu
Equazioni alle Derivate Parziali I, MAT/05, 7 cfu
Finanza Aziendale (Sc. Politiche), SECS-P/09, 9 cfu
Metodi Quantitativi per la Finanza, MAT/06, 6 cfu
Analisi Reale, MAT/05, 7 cfu
Sistemi Dinamici II, MAT/07, 7 cfu
Analisi Complessa, MAT/05, 7 cfu
Analisi Funzionale II, MAT/05, 7 cfu
Equazioni alle Derivate Parziali II, MAT/05, 7 cfu
Statistica di Processi Aleatori, MAT/06, 7 cfu
Finanza Matematica II, SECS-S/06, 7 cfu
Teoria dei Giochi e delle Decisioni, SECS-S/06, 7 cfu
Economia Computazionale, SECS-S/06, 7 cfu
Other informations on the ECMI diploma may be asked to the representative of the Department of Mathematics in the ECMI Educational Committee, Prof.ssa Alessandra Micheletti.