## Applying Mathematics

- a cookbook of engineering examples, using Matlab and other languages

This will gradually become an online book of examples (predominantly in mechanics, heat transfer and electronics) showing how to write equations to model physical situations, obtain solutions and then plot the solutions.  Using Matlab (mostly) but also SciLab, iPython, Visual Basic, Free Pascal etc. So far I’ve only written the introduction!

To follow, eventually:

Equations & methods

• Kettle experiment
• Transistor amplifier
• Op-Amp
• Diode design
• Satellite launcher
• Population model
• Antifreeze
• Bags of salt
• Achromatic lenses

Coding

• Scripts and functions
• Structures
• Handle graphics
• Documentation

Optimisation

• Pipe insulation
• Lagrange multipliers

Complex numbers

• Phasors
• Balancing
• AC electronics

Ordinary Differential equations:

• Basic formulation
• Simple beam
• Diaphragm
• Tape measure
• Paintbrush
• Solar panel - single & double pass
• Numerical methods: comet, diffusion, Blasius, manifolds
• Bessel functions

Partial Differential Equations

• Concrete floor vibrating
• Temperature distribution through a wall

Matrices & vectors

• Shed roof
• Angle of Sun
• Curve fitting & Vandermonde

Writing stand-alone applications

• A graphical application for pipe flow
• Reading and writing data files
• Complex numbers

in:

• Visual Basic
• Free Pascal