Università degli Studi di Perugia

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Unit MATHEMATICAL METHODS FOR ECONOMICS

Course
Mathematics
Study-unit Code
55A00079
Curriculum
Matematica per l'economia e la finanza
Teacher
Irene Benedetti
Teachers
  • Irene Benedetti - Didattica Ufficiale
Hours
  • 42 ore - Didattica Ufficiale - Irene Benedetti
CFU
6
Course Regulation
Coorte 2018
Offered
2019/20
Learning activities
Affine/integrativa
Area
Attività formative affini o integrative
Sector
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
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 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.
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