Essentials of Calculus

The course aims at recalling the fundamental concepts of static optimization. The basics of calculus (in one and more variables) are supposed to be known. In particular the course will deal with the following topics. - Functions of one variable: drawing graph of functions, application of continuity and derivatives to constrained and unconstrained optimization, differentiation and maximization of integral functions. - Functions of several variables: partial derivatives, methods for constrained and unconstrained optimization, optimization of implicit and integral functions.