I have been involved in a wide range of teaching across applied mathematics, from laboratory demonstrations in non-Newtonian fluid dynamics, through to asymptotic methods for postgraduates.

Often there is call to put up some material online, this is usually done via the MMS website for teaching at St Andrews. Sometimes however there is call to put up persistent available material, and some links of this kind can be found below.

All of the links that follow were good when I put them up - but obviously some material gets taken down over time and so they may end up broken. Likewise material on external sites is subject to change and so I take no responsibility for the linked sites. Let me know if you come across any problems however.

### MT4509 Fluid Dynamics video links

- Airflow around a Zonda - good demonstration of streamlines/streaklines.
- Airflow around a Mercedes - another good demonstration of streamlines/streaklines and unsteady regions.
- Shock wave formed in a compressible fluid (air) by an explosion - shock waves are features fast flows in compressible fluids.
- Hydraulic suspension - demonstrates the use of fluid pressure through hydraulics to apply forces in 'useful' ways.
- Lava flow - example of a buckling viscous jet.
- Hydraulic jump - example of an hydraulic jump formed as a river flows out into a lake.
- Supercritical transition - lab demonstration of a supercritical transistion in a channel flow.
- Kayaks and a hydraulic jump - kayaking into a hydraulic jump at the bottom of a dam overflow.
- Flow around a cylinder - visualisaton of potential flow around a cylinder using a Hele-Shaw cell.
- Flow around a cylinder - visualisaton of a more realistic flow around a cylinder showing flow shedding and the vortex street in the wake.
- Flow around an aerofoil - visualisaton of the potential flow around an aerofoil using a Hele-Shaw cell.
- Cavitation around a propellor - demonstration of the cavitation that occurs when a propellor is spun very fast, the pressure at the blade tip drops below the vapour pressure.
- NASA wingtip vortex video - the vortex associated with the wingtip of a passing plane visualised with coloured smoke.

### Computing links

- What Every Computer Scientist Should Know About Floating-Point Arithmetic - a really useful technical guide to floating point number representation.
- Think Python book - excellent beginner's guide to getting started programming with python.
- Python org main website
- Numpy - numerical computing in python
- Scipy - scientific computing in python
- Matplotlib - mathematical plotting in python
- Stack Overflow - general computing help and discussion