Master’s degree in Economics

Course partially running (all years except the first)

Mathematical models for business and economics

Course code
4S02467
Name of lecturers
Alberto Peretti, Silvia Centanni
Coordinator
Alberto Peretti
Number of ECTS credits allocated
6
Academic sector
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Language of instruction
English
Site
VERONA
Period
First semester dal Sep 26, 2011 al Dec 22, 2011.
Web page
http://cide.univr.it/aperetti/mmbe_1112/mmbe_main.html

Lesson timetable

First semester

Not inserted.

Learning outcomes

Module 2: (for Module 1 please refer to Prof. S. Centanni)
-------

The module aims to give some essential knowledge on unconstrained and equality constrained optimization and an introduction to differential equations and systems of differential equations.

Syllabus

Module 2: (for Module 1 please refer to Prof. S. Centanni)
-------

Optimization
Unconstrained optimization.
Constrained optimization with equality constraints.
Lagrangian function and optimality conditions.

Differential equations
A refresh on indefinite integrals and integration techniques.
Ordinary differential equations. Some general aspects.
Linear 1st order differential equations.
Separable differential equations.
Linear 2nd order differential equations. The non homogeneous case.

Systems of differential equations.
Solution of a system through diagonalization.

Assessment methods and criteria

Written and oral exam

Course partially running (all years except the first)

Mathematical models for business and economics

Course code
4S02467
Name of lecturers
Alberto Peretti, Silvia Centanni
Coordinator
Alberto Peretti
Number of ECTS credits allocated
6
Academic sector
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Language of instruction
English
Site
VERONA
Period
First semester dal Sep 26, 2011 al Dec 22, 2011.
Web page
http://cide.univr.it/aperetti/mmbe_1112/mmbe_main.html

Lesson timetable

First semester

Not inserted.

Learning outcomes

Module 2: (for Module 1 please refer to Prof. S. Centanni)
-------

The module aims to give some essential knowledge on unconstrained and equality constrained optimization and an introduction to differential equations and systems of differential equations.

Syllabus

Module 2: (for Module 1 please refer to Prof. S. Centanni)
-------

Optimization
Unconstrained optimization.
Constrained optimization with equality constraints.
Lagrangian function and optimality conditions.

Differential equations
A refresh on indefinite integrals and integration techniques.
Ordinary differential equations. Some general aspects.
Linear 1st order differential equations.
Separable differential equations.
Linear 2nd order differential equations. The non homogeneous case.

Systems of differential equations.
Solution of a system through diagonalization.

Assessment methods and criteria

Written and oral exam


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