Mathematical Modeling

• The principles of mathematical modelling. Structuring the analysis of a problem in terms of the different stages of modelling: problem definition, construction of the mathematical model, implementation of the model, verification and validation, analysis of the results, conclusion, and recommendations.
• Performing and managing group work. This includes scheduling and organising a project (PRV 53), working in groups and assigning roles (PRV 13).
• Summarising and communicating findings. Preparing a scientific report, and communicating findings via oral presentations, and group discussions.
• Skills regarding cooperating (participation in a training) and planning and organizing.

• Distinguish and recall the different stages of the modelling procedure.
• The student is able to work in teams and is able to plan the teamwork.
• Extract the main features of the problem and of the data, list all of the relevant variables, recognize the constraints on these variables and identify relations between the variables.
• Describe the problem in terms of the variables and constraints.
• Define goals for the analysis and formulate these in terms of research questions.
• Schedule a work plan that includes assigning roles and tasks to the members of the group and deadlines for the different tasks.
• Manage group work and reformulate the work plan if needed.
• Review the relevant literature for chosen approach.
• Abstract the problem to construct a candidate model that represents the situation.
• Validate the model to ensure that it conforms to the situation, and restate it if it does not.
• Apply the model to draw conclusions, and analyze, interpret, and criticize the results.
• Write a report to summarise the entire modelling procedure, propose a solution to the problem, judge the quality of the solution, compare this conclusion with the research questions, critically evaluate the process.
• Communicate the process and findings verbally in an informal way.
• Argue for- and defend the chosen approach, and critically assess own performance.

You must meet the following requirements

• Registered for a degree programme other than
• HBO-TOP Applied Physics, Pre-Master, Fulltime

• Mathematical Modelling
• Principles of Mathematical Modeling
• Principles of Mathematical Modeling