Preparatory Phase

(A)  Lectures and seminars on

•  Non-linear and discrete Optimization
•  Linear system theory
  

• Analytical methods for ordinary and partial differential  equations 
• Numerical methods for ordinary and partial differential equations 
• Regression analysis

        for  Economathematics:

• Modelling with differential equation 
  
• Advanced stochastic processes and time series analysis 
  
• Network optimization 
  
• General linear models in statistics

(B)  Modelling activities over a period of about one year

"Training of mathematical  modelling"

• Working in small groups
  
• Modelling of real life problems (not necessarily new)
  
• Analysis of the model Providing numerical solutions Writing reports
  
• Representation
  

 Modelling Examples from Dresden

Eye patient on a flight 
Measurement of the quality of felt material
Biological pest control
Self-inflammation of carbon piles
Chocolate coating of ice cream
Ask a mathematician when playing golf
The value of options and derivates
Airbag safety sensor
Strip-placing curve for enveloping rotationally symmetric solids

Special Courses

All ECMI-nodes offer a set of special courses reflecting their mathematical expertise.

Special courses are often taken abroad at another ECMI nodes.

Choice for the special courses is a free one for the student provided that a consistent curriculum results.

 "Modelling of real life problems in  International groups of students"

Takes place annually at one of the ECMI nodes. Small groups of mixed nationalities tackle real life problems from a wide range of fields. The group is supervised by an instructor who submitted the problem. The work is finished with a representation. Afterwards the groups  write a report to be published in proceedings. Students work very hard during the week.  On the other hand the event has a strong social effect. It closes with a joyful final evening including contributions of the national groups.

2006  Lyngby 2005  Barcelone 2004  Lappeenranta 2003  Bristol 2002  Kaiserslautern  2001  Klagenfurt 2000  Lund 1999  Trondheim 1998  Milan 1997  Dresden 1996  Jyvaskyla 1995  Glasgow 1994  Lynbgy 1993  Grenoble 1992  Linz 1991  Eindhoven 1990  Oxford 1989  Kaiserslautern 1988  Bar

Modelling examples:

Optimal watering of a garden
Robot and bridge model
Ringing a church bell
A fair treatment of all growers at the auction
Spooling of thin plastic films on large rolls
Is the water slide safe?
Illumination of sports grounds
Electric heating of a wind screen
A hand-spelling interpreter
Optimal cooling of hot cheese spread in glass jars
An alternative barcode system
Determination of the frequency of a cubical organ pipe

     

Final Project (Lasting 4-6 month)

"Industrial project including the Final Report"

• Concerned with a real industrial problem
• Placement in the European industry or at an ECMI node in partnership with a company

• Non-trivial mathematics
• Comprehensible for non-mathematicians
• Mathematical model and relevant solution to the industrial problem
• Sufficient scientific and mathematical level ~ engineering paper
• benefit from the work has to be positively assessed by the company where the problem comes from

Certificate