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.
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 topics 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 AM modules: 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 the 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.