Unit MATHEMATICAL METHODS FOR ECONOMICS
- Course
- Mathematics
- Study-unit Code
- 55A00079
- Curriculum
- Matematica per l'economia e la finanza
- Teacher
- Enzo Vitillaro
- Teachers
-
- Enzo Vitillaro
- Irene Benedetti (Codocenza)
- Hours
- 30 ore - Enzo Vitillaro
- 12 ore (Codocenza) - Irene Benedetti
- CFU
- 6
- Course Regulation
- Coorte 2016
- Offered
- 2017/18
- Learning activities
- Affine/integrativa
- Area
- Attività formative affini o integrative
- Academic discipline
- MAT/05
- Type of study-unit
- Opzionale (Optional)
- 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, Pareto's optima, Walrasian equilibria and welfare economy theorems.
- Reference texts
- C. P. Simon, L. Blume, Mathematics for Economics, Norton & Company, New York, 1994.
H. Nikaido, Convex Structures and Economic Theory, Mathematics in Science and Engineering, Academic Press, New York, 1986.
A. Mas-Colell, M. D. Whinston, J. R. Green, Microeconomic Theory, Oxford University Press, 1995.
Andreu Mas-Colell, The Theory of General Economic Equilibrium (a differentiable approach), Econometric Society Monograph, n. 9, Cambridge University Press, 1985. - 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 constarints.
- 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, Pareto's optima, Walrasian equilibria and welfare economy theorems. 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.