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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.

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Copyright Maths Discovery 2015