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Course module: 202001357
202001357
Project: Dynamical Systems
Course info
Course module202001357
Credits (ECTS)3
Course typeStudy Unit
Language of instructionEnglish
Contact persondr. H.G.E. Meijer
E-mailh.g.e.meijer@utwente.nl
Lecturer(s)
PreviousNext 1
Lecturer
prof.dr. C. Brune
Lecturer
prof.dr.ir. B.J. Geurts
Examiner
dr. H.G.E. Meijer
Contactperson for the course
dr. H.G.E. Meijer
Lecturer
dr.ir. G. Meinsma
Academic year2020
Starting block
1B
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Aims
After following this course the student:
  • is able to formulate a research question based on a real life problem, and formulate a relevant and consistent mathematical model;
  • can conduct a mathematical analysis in relation to the other courses of this module;
  • is able to present the project results in written and verbal form;
  • can reflect on the modelling process.
Content
Mathematical models are used in many applications such as population dynamics, mechanical systems, electrical circuits, infectious diseases, climate dynamics and weather forecasts. Mathematical modelling involves formulating and analysing such models. This is one of the key topic of the Bachelor programme Applied Mathematics, as an applied mathematician often encounters this in his/her profession. In this project, we focus on dynamical system models applying knowledge of the courses on differential equations, systems theory and numerical analysis.
Within a small group of students, you first revisit the iterative modelling cycle taught in earlier AMmodules: formulating, analysing, interpreting and refining until convergence. Initially, all groups work on the same elementary problem. Several mandatory plenary sessions are organized to acquire the relevant techniques as well as to provide feedback. This part finishes after six weeks, and then students continue on a more extensive challenge of their own choice. During this part, the modelling is mainly done within the groups under supervision of a tutor. A guest lecture, for example on rehabilitation of walking, sets the scene with possible ideas for such extensions.
There is special attention for the following new aspects:
  • Delimit the assignment to one that is executable.
  • Formulate a research question.
  • Make a time plan for executing this assignment.
Assumed previous knowledge
We expect basic knowledge of Matlab, or an equivalent programming language.

Because this project integrates all material from the courses Ordinary Differential Equations, Systems Theory and Numerical Methods, you can only enroll in this study unit if you either have previously followed or are currently enrolled in these units of the module. If you intend to finish such a unit in a later academic year, then follow the project at that time. Exceptions possible if you have equivalent preknowledge.
Module
Module 6
Participating study
Bachelor Applied Mathematics
Required materials
-
Recommended materials
-
Instructional modes
Assessment
Presence dutyYes

Lecture
Presence dutyYes

Presentation(s)
Presence dutyYes

Workshop
Presence dutyYes

Tests
Action Plan

Final Report

Project Rebuttal

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Kies de Nederlandse taal