The optimisation problem (inc min or max, equivalence between the two)

Local optima (definition, broad)

Stationary points and first-order conditions

Local minima, maxima and inflection points

Optimising convex and non-convex differentiable functions

Optimising functions of more than one variable

Linear optimisation with equality constraints

Multiple equality constraints (merge with above, and non-linear)

Linear optimisation with inequality constraints

The primal and dual problems of linear optimisation

Complementary slackness for linear optimisation

The quadratic optimisation problem

The non-linear optimisation problem

The dual problem for non-linear optimisation