| Recommended semester: 1st - 4th semester |
| Scope and form: Lectures combined with solution of a modelling problem chosen by the group. |
| Evaluation: Approval of coursework/reports
|
| Examination: Pass/fail |
| Previous course: 04120 |
| Prerequisites: Knowledge of: Some advanced calculus, some basic physics, a programming language. |
| No credit points with: 04120 / C0310 |
Aim: To introduce the students to mathematical modelling through:
(a) formulation of a model of a physical / technical problem and solution of the equations using a computer,
(b) evaluation of the models based on calculated solutions to the model equation. |
Contents: A brief introduction to the programming languages (C or FORTRAN and possibly PROFIL or INTLAB) is given, including the use of standard programming systems, e.g. MATLAB. The participants are placed in groups. Each group selects one specific example which is subjected to a detailed analysis during the course under the teachers direction. Each group documents its work in a report. This work serves to introduce the students to the basic elements of modelling:
1. Formulation of the problem: What is the goal? The choice of model depends strongly on the purpose of the modelling. Which quantities from the real world are important for the model?
2. Formulation of the model: How complicated model-equations can be solved with the resources available? Which mathematical skills are mastered? Which computer programs are available?
3. Solution of model equations: Which method of solution is preferable: exact or approximate, analytical or numerical?
4. Evaluation of the model: Do the predictions of the model coincide with available real life data? Are the limitations of the model acceptable? |
Remarks: Limitations on number of students:
Max: 50 in January, provided a sufficient number of terminals are available
Max: 100 in June |
| Contact: Søren Christiansen, building 305, (+45) 4525 3021, sc@imm.dtu.dk |
| Department: 002 Informatics and Mathematical Modelling |
| Course URL: http://www.imm.dtu.dk/courses/02661 |
| Keywords: Modelling, Applied mathematics |
| Updated: 07-05-2001 |
