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.

ApplyingMathematics

So far I’ve only written the introduction!


To follow, eventually:

Equations & methods

  • Kettle experiment
  • Transistor amplifier
  • Op-Amp
  • Crystal radio & aerial
  • 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
  • Linked equations (eigenvectors)


Partial Differential Equations

  • Concrete floor vibrating
  • Temperature distribution through a wall


Matrices & vectors

  • Shed roof
  • Angle of Sun
  • Linked beams
  • 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
RWM 2013