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Lecturer: Annemarie Aarts In this course trainees are introduced to Mathematical Modeling for solving an industrial problem. The complete cycle of Mathematical Modeling will be captured, ranging from i) problem formulation, ii) constructing a mathematical model, iii) solving the mathematical model, and iv) interpreting the results. For solving the problems use will be made of physical principles that hold in Continuummechanics. The aims of the course are:
The emphasis in the course is on the construction of a mathematical model with the aim of solving an industrial problem. A problem is given in general terms, and the trainees are asked to solve the problem by developing a mathematical model themselves. The mathematical model to be developed will, in the end, consist of a set of either partial or ordinary differential equations, which needs to be solved by making use of mathematical techniques from Applied Analysis and/or Numerical Analysis. The results obtained will need to be interpreted for coupling the solution back to the problem formulated. Finally, a short report needs to be written, which includes the mathematical model developed and results obtained. The duration of the course is 18 days, divided over two blocks of 9 days. Teamwork is stimulated by working together in groups of 2-3 people. Every problem is worked on for about 3 days, and includes some brainstorming for identifying the problem as well as presentations about the mathematical model developed and results obtained. If needed theories from Continuummechanics are taught that are lacking and considered to be necessary for solving the problem. The course is meant for trainees of the orientation towards Technical Applications (T-orientation). Trainees entering this course are expected to have some knowledge of Continuummechanics as well as (numerical) solution techniques for (partial/ordinary) differential equations. |