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Modellus

Modellus is a mathematical modeling program for PCs. It uses a very powerful interpreter to allow equations to be entered in a form that looks like physics rather than a programming language. Simple formulae, iterations and even differential equations can be typed in and are 'understood'. When the models are run all the maths needed to solve the equations is done out of sight leaving pupils able to concentrate on the results.

Getting results from the physics is very simple. Graphs can be produced in seconds with axes that auto scale as the quantities grow. Changing the variables takes one mouse click in most cases. Animations take longer to produce but getting an attractive display is still only a matter of minutes. All the data generated by the program can be viewed in easily produced tables.

Modellus plays a large role in the Institute of Physics' new Advancing Physics AS/ AS course that is being taught in the UK from September 2000. Modellus is used in three ways.

1.    To demonstrate aspects of physics through ready-made models; here are some examples from the CD-ROM that acts as the major resource for the course. The CD-ROM is available from Institute of Physics Publishing and these examples are used with permission

monkey and hunter; adding phasors; single slit diffraction using phasors; the Moon's orbit; simple harmonic motion; a boat moving through moving water; introducing gradients

click here for a ZIP file containing all these and the Advancing Physics document 'Getting going with Modellus'.

2.    To allow some pupils to build their own models to further their understanding of physics concepts.

3.    Topics that require differential equations - motion, simple harmonic motion, radioactive and capacitor decay - can be studied without the need for calculus. Pupils can derive the equations from first principles, type them into Modellus and then watch as the graphical solutions are produced instantly. Changes to the initial conditions can be made easily and the different results compared side-by-side using the tables and graphs.
 

Modellus is available as a FREE download from http://phoenix.sce.fct.unl.pt/modellus/ along with other sample files and the user manual.