An introduction to optimisation i.e. finding a minimum or a maximum of a given function.


We shall consider a variety of problems of a practical nature which necessitate the finding of an extremum

(a minimum or a maximum).


We start by considering the problem of crossing a muddy field then move on to surface tension on a soap film

via the motorway problem.


  •   Linear programming?

  •   Goldilocks for sixth formers?

  •   Dido’s problem



PRIMARY: development of perspective, hands-on development of projections onto a cone and a cylinder.


SECONDARY: plus algebraic representation of transformations.


SIXTH FORM: plus conic sections, polar coordinates.


Copyright Maths Discovery 2015