  These are lecture notes for five sessions in the AMSI Winter School on
'Computational Modelling of Heterogeneous Media' held at QUT in July 2019
[https://ws.amsi.org.au/].
  Aim: Discuss a mix of new mathematical approaches for multiscale modelling,
heterogeneous material in particular, along with corresponding novel
computational techniques and issues. I include discussion of a developing
toolbox that empowers you to implement effective multiscale `equation-free'
computation [https://github.com/uoa1184615/EquationFreeGit.git].
