Mathematical Physics and Computational Mechanics (MPCM)

The engineering mathematician is involved in the development and application of mathematical tools for solving problems that arise in physical or technical systems. Related to the rather broad scope of applications, there is a need for correspondingly diverging specializations. Mathematical Physics and Computational Mechanics mean a unique combination of both fundamental and applied aspects of mathematics.

This results in advanced courses in a variety of mathematical topics, mathematical modelling, joint courses with other disciplines, and a final research project in a company or research institute in The Netherlands, or at the university. The flexible programme setup can be tailored to the individual participants. Each student can count on extensive coaching and tutoring by one specific faculty member who will supervise, guide and support the student throughout the study. Herewith also special attention is given to the cultural and social needs of the student.

Chair	Numerical Analysis and Computational Mechanics and Applied Analysis and Mathematical Physics (AAMP)

Chair holders
NACM	Prof. J.J.W. (Jaap) van der Vegt Room: Citadel 315, Phone: 053 489 5628; E-mail: j.j.w.vandervegt@utwente.nl

AAMP	Prof. S.A. (Stephan) van Gils Room: Citadel 325, Phone: 053 489 3410 E-mail: s.a.vangils@ewi.utwente.nl

Programme requirements

Intended for transfer students (students with a bachelor’s degree in Technical Mathematics from one of the 3TU universities): who start the master’s programme in the 2012-2013 academic year.

The course section of the master’s programme will certainly consist of:

·	three common subjects (C),

·	five mathematics subjects (relevant for the specialisation)

·	one reflection course (R),

·	plus electives so the entire course programme adds up to at least 60 EC and at least two of the 3TU electives (2N) are selected.

These programme requirements result in the following (compulsory) course programme:

		Quartile
Code	Course	1	2	3	4	EC	Remark
191506302	Applied Functional Analysis	x				6	C
191551200	Scientific Computing			x		6	C
191570401	Measure and Probability	1/3				6	C
191616040	Phylosophy of Engineering	x				5	R
191551150	Numerical Techniques for PDE		x			5
191551161	Applied Finite Element Methods for PDE’s			x, 2N		6
191560430	Nonlinear Dynamics		x			5
201200155	PDE I (Theory of FEM)			x		6
201200219	PDE II (Variational Analysis & Asymptotics)				x	5

2N	Choice of one national course

The electives are applied physics/technology subjects from Optics, Fluid Dynamics, Biomathematics or other mathematical subjects that may be offered nationally. These subjects are determined in consultation between the student and the respective chair holder. The choice depends on the student’s interests and the topic of the final project (master’s thesis).

It is also possible for the traineeship (20 EC) to be used to delve more deeply into specific subject matter.

Students entering the programme through an alternative route: Students with a bachelor’s degree other than Technical Mathematics from one of the 3TU universities are asked to contact the programme mentor as soon as possible in order to determine a suitable programme that is feasible from the student’s point of view.

A list of possible elective couses are given below. This list is not complete but gives a good indication of what is available.

Quartile
Course	1	2	3	4	EC	Remark
Capita Selecta AACS (Seminar Mathematical Physics)	x	x	x	x	5	Applied Math course
Time Series Analysis	x		x		5	Applied Math course
Continuous Optimization	x				5	Applied Math course
Stochastic Differential Equations		x	x		6	National
Advanced Modelling in Science		x	x		6	National
Dynamic Behavior of Neural Networks				x	5
Physica van Vloeistoffen			x
Advanced Fluid Mechanics			x		5
Mathematical Biology	x				8	National (if available)