Organized by:
The objective of the ESSIM Summer School is to confront Mathematics students with problems coming from Industry, where “Industry” is intended in a broad sense including Engineering, Material Sciences, Aeronautic, Biotechnologies, Optimization of industrial processes, Transports, Services and several other fields wherein industrial sector operates.
The Summer school is organized mainly for second cycle (master) students. Particularly brilliant students at the bachelor level and also a small amount of PhD students, at the beginning of their PhD studies, can be admitted.
The Summer School is part of the international master programmes developed in the framework of the Erasmus Curriculum Development project ECMIMIM.
The main activities consist in solving industrial problems suitable for mathematical modelling, performed in multinational teams. These projects will be provided by instructors from universities which are partners in the European Consortium for Mathematics in Industry ( ECMI).
The problems are chosen from the portfolio of industrial and commercial projects which the instructors or their institutions are currently involved in, thereby exposing the students to real world problems of production, technological or social interest.
The training will be conducted in a twoweek School, where the first week will be dedicated to a preparatory school, consisting in 4 short courses on Mathematics useful for applications, each course will end with a seminar, held by an industrial speaker, showing the relevance of the mathematical subjects explained during the course to solve industrial problems and exposing the students to up to date European experiences of collaboration between Academy and Industry. Each student will have to follow 2 over 4 courses offered. All students will attend the industrial seminars. At the end of the first week the students will be evaluated with a written test.
The preparatory phase will be followed by a second week of teambased project work on specific problems coming from "Industry". The project work will mimic the problem solving approaches used in industry, with emphasis on mathematical modelling as a tool for innovations leading to improved products, manufacturing procedures, biotechnologies, optimized processes or services. Students collaboration and communication skills will also be trained.
Projects

8) Where is the boat?
Instructor: Ana Leonor Silvestre
Suppose that, during a trip, a small boat has an engine failure and stops at sea, with no means to communicate and ask for help. After ...
Posted Jul 7, 2011, 11:51 PM by Ecmi Milano

13) Another slice of the whole
Instructor: Giovanni Naldi
Project description
Computed tomography images are becoming an invaluable mean for abdominal organ investigation. In the field of medical image processing, some of the current interests are ...
Posted Jul 7, 2011, 11:52 PM by Ecmi Milano

12) Computational homogenization in heat conduction problems with application to heterogeneous materials
Instructor: Paola CausinSeveral material commonly adopted in engineering applications – for example, refractories used in thermal coatings or microelectronics  are strongly heterogeneous and display a multiphase porous microstructure. An ...
Posted Jul 7, 2011, 11:54 PM by Ecmi Milano

11) Modelling of local mobility fluctuations in nanoscale electronic devices
Instructor: Alessandra MichelettiElementary electronic devices (such as MOS transistors) have been continuously shrinked in size since many years. Stateoftheart transistors have typical dimensions of a few ...
Posted Jul 7, 2011, 11:54 PM by Ecmi Milano

10) The Homogeneous Areas Problem (HAP)
Instructor: Marco TrubianIn Italy, provinces play a coordination role: they support all local activities involving more than one town. Examples of such common activities are the management of some ...
Posted Jul 8, 2011, 1:32 AM by Ecmi Milano

9) Spider web vibrations: finding dinner
Instructor: Derek Moulton Many spiders use webs to capture their prey. These spiders typically have very poor vision, and rely almost entirely on their sensation of vibrations in the web ...
Posted Jul 7, 2011, 11:56 PM by Ecmi Milano

7) Stochastic Algorithms for Capacitance Analysis in Integrated Circuits
Instructor: Francisco BernalAn integrated circuit can be modelled as a twodimensional domain where the voltages are piecewise constant. On an insulating platform (the waffer) several electronic, conducting components ...
Posted Jul 7, 2011, 11:57 PM by Ecmi Milano

6) Modelling of glaciers
Instructor: SiriMalén HøynesGlaciers all over Europe are retreating and the glaciers in Norway are not exceptions. Many people think that if the temperatures keep going up, some of ...
Posted Jul 7, 2011, 11:58 PM by Ecmi Milano

5) How mathematicians predict the future?
Instructor: Agnieszka WylomanskaThis project aims at developing and validating suitable mathematical model for the interpretation and description of financial data, like interest rates. It is very important to find ...
Posted Jul 7, 2011, 11:59 PM by Ecmi Milano

4) Fair voting in parliamentary elections
Instructor: Phil Knight Most countries in Europe use some form of proportional representation (PR) as a means of allocating members of parliament at both local and national level. The UK ...
Posted Jul 8, 2011, 12:00 AM by Ecmi Milano

3) Mathematical Modeling of Bacterial Behavior in Biofilms  A Guide in Designing and Assessing the Conditions in Industrial Applications
Instructor: Dr. Vasiliadou A. IoannaAn understanding of bacterial processes considered in mixedculture biofilms concerns many field and industrial applications. The aim of this project is to describe/simulate ...
Posted Jul 8, 2011, 12:01 AM by Ecmi Milano

2) Smooth surface reconstruction
Instructor: Mario KaplThe reconstruction of smooth surfaces from given data, such as (structured) point clouds, is an important problem in the reverse engineering process of geometric objects in industrial ...
Posted Jul 8, 2011, 12:01 AM by Ecmi Milano

1) Heat in a litium ion battery
Instructor: Raoul BorscheNowadays many electrical items are supplied by lithium ion batteries. These are used in sizes ranging from relatively small, e.g. in mobile phones, over medium, e ...
Posted Jul 8, 2011, 12:02 AM by Ecmi Milano
The projects will be concluded by oral presentations (on the last day of the ESSIM School) and written reports (deadline two months after ESSIM).
The expected outcome is to provide awareness of the students to take up mathematical modelling as a tool for innovation in improving RD procedures in "Industry".
Contact address: ecmi.milan@gmail.com

Project report templates published
The LaTex templates for project reports are available at this link.
Posted Jul 29, 2011, 5:43 AM by Ecmi Milano

Summer School Results Published
The results of the Summer School are available at this link.
Posted Jul 27, 2011, 3:55 AM by Ecmi Milano

Projects online
The list of the projects is now available at Modelling Week Projects.Each participant may express up to four ordered preferences at Students' Preferred Choices.
Posted Jul 1, 2011, 5:58 AM by Ecmi Milano

