INFORMAZIONI SU

Advanced Mathematics

Programma dell'insegnamento - Corso di laurea magistrale in Economics - Scienze Economiche

Lecturer

prof. Luciano Sigalotti luciano.sigalotti@uniud.it

Credits

9 CFU

Department

Department of Economics and Statistics

Course programme

Euclidean n-dimensional space, topological and metric properties.
Function of several variables.
Differential calculus for functions of several variables.
Vector functions
Differential calculus for vector functions.
Implicit functions and the implicit function theorem.
Quadratic forms. Constrained quadratic forms.
Convex and concave functions, quasiconvex and quasiconcave, pseudoconvex and pseudoconcave functions.
Examples: Cobb-Douglas functions, CES functions.
Unconstrained optimization.
Otimization with equality constraints.
Otimization with inequality constraints and mixed constraints.
Comparative statics. The envelope theorem.
Concave programming.

Bibliography

Textbook
C.P. Simon, L.E. Blume, Matematica 1 e Matematica 2, per l’Economia e le Scienze Sociali, Un. Bocconi Editore;