Introduction to modelling
The goal of this module is to teach students the basics of mathematical modelling. It focuses on defining the scope of a mathematical model in accordance with the methodological approach to modelling, followed by writing the equations and investigating its results.
At the end of this module, students should be able to develop a mathematical model for a simple system, make sure the degrees of freedom match, and set up the problem on a numerical software package and solve it. They should also have an idea of what numerical software packages are available and roughly what software can be used for what case. Finally, students should be able to compute the effects of uncertainty on a model by implementing simple control algorithms.
Only registered PATH users may download materials. Editable versions of slides and assignments are restricted to Professors.
|Slide handout - Introduction to modelling|
|Slides - Introduction to modelling||PPTX|
|Hands-on exercise - Gas storage tank|
|Hands-on exercise - Lake model|
|Home assignment - Diving tank|
|Hands-on exercise - Gas storage||DOCX|
|Hands-on exercise - Lake model||DOCX|
|Home assignment - Diving tank||DOCX|
|Solutions - Home assignment - Diving tank||GPJ|
|Solutions - Hands-on exercise - Gas tank||GPJ-PB|
|Solutions - Hands-on exercise - Lake model||GPJ-PB|