Mathematical Modelling
The aim of this course is to enable you to study real-world phenomena by constructing and using simple models. This course does not involve computer programming, although some use is made of existing computer programs where performing the operations by hand would be too time consuming or tedious.
This course runs in Semester 2 of the 1st year of both BSc and MPhys courses. As the course progresses, lecture notes will be made available on the VLE.
I no longer teach this course, it is currently taught by Prof. D'Amico, so the course may have evolved. A brief outline of the course from when I taught it:
- Introduction to Mathematical Modelling
- Dimensional analysis
- Similitude
- Fitting Data
- Interpolation
- Optimisation
- Linear Programming
- Difference Equations
- Differential Equations
- Integration
- Randomness
- Networks I
- Networks II
- Fractals I
- Fractals II
- Chaos I
- Chaos II
One of my favourite parts of the course was fractals, so I've written this little javascript program to illustrate some simple ones. Reload the page to get a different one.