Study-unit MATHEMATICAL METHODS FOR ECONOMICS

Versione Italiana
Course name Mathematics
Study-unit Code 55A00079
Curriculum Matematica per l'economia e la finanza
Lecturer Irene Benedetti
Lecturers
  • Irene Benedetti
Hours
  • 42 ore - Irene Benedetti
CFU 6
Course Regulation Coorte 2023
Supplied 2024/25
Supplied other course regulation
Learning activities Affine/integrativa
Area Attività formative affini o integrative
Sector MAT/05
Type of study-unit Obbligatorio (Required)
Type of learning activities Attività formativa monodisciplinare
Language of instruction english
Contents The aim of the course is to give the main tools which are useful to understand some elements in microeconomics: demand and consumer theory, marshallian and hicksian demand, Walrasian equilibria.
Reference texts A. Mas-Colell, M. D. Whinston, J. R. Green, Microeconomic Theory, Oxford University Press, 1995.
Educational objectives At the end of the course the students are supposed to have the knowledge of the main mathematical methods used to study problems in microeconomics.
Prerequisites Differential calculus, partial derivative, gradient, optimization in several variables with constraints.
Teaching methods The course consists in 42 hours of lessons. The timetable is available at
http://www.dmi.unipg.it/MatematicaOrarioLezioni
Other information Student office:
see the web page:
http://www.unipg.it/pagina-personale?n=irene.benedetti
Learning verification modality Oral exam.
The student should prove to have the knowledge of the main mathematical methods used to study problems in microeconomics.
See the web site:
http://www.dmi.unipg.it/MatematicaCalendarioEsami
Extended program The aim of the course is to give the main tools which are useful to understand some elements in microeconomics: demand and consumer theory, marshallian and hicksian demand, Walrasian equilibria. With this aim the following mathematical subject will be covered: free optimization theory, optimization theory with equality and inequality constraints, homogeneous, homotetic, quais-concave and quasi-convex functions, multivalued analysis theory, classical fixed point theorems.