villanacci, a., (2017), "Basic Linear Algebra, Metric Spaces, Differential Calculus and Nonlinear Programming", Lecture Notes, available on the course website (moodle).
Learning Objectives
Provide a good background in mathematical economics for the analysis of constrained maximization in economics
Prerequisites
Matematica per le applicazioni economiche 1
and
Matematica per le applicazioni economiche 2.
Teaching Methods
Lectures and office hours.
Further information
All course information is contained in the e-learning web-site of the course "Matematica per le applicazioni Economiche 2"
Type of Assessment
Written and optional oral exam.
Course program
Nonlinear programming. Convex sets; separation theorems; concave, strictly concave, quasi-concave , strictly quasi-concave, pseudo-concave functions. Maximization problems with equality and inequality constraints. Application of the Implicit Function Theorem to non-linear programming problems.