  The discriminant method is a tool for describing the cohomology, or the
homotopy type, of certain spaces of smooth maps with uncomplicated
singularities from a smooth compact manifold L to R^k. We recast some of it in
the language of functor calculus. This reformulation allows us to use the
discriminant method in a setting where we wish to impose conditions on the
multilocal behavior of smooth maps f from L to R^k.
