|SCIENTIFIC DISCIPLINARY SECTOR
|Questo insegnamento è un modulo di:
The aim of the course is to provide the student with the knowledge of advanced mathematical methods to successfully deal with economic models from a quantitative viewpoint.
AIMS AND CONTENT
The course will provide the mathematical tools needed to successfully attend the other courses of the Master program. Specifically, the course: i) will integrate topics from the undergraduate course of Math, notably integration theory and linear algebra; ii) will introduce the student to differential calculus for functions of several variables and to the unconstrained optimization of such functions; iii) will introduce the students to the formalism of difference and differential equations and dynamical systems. Special attention will be devoted to examples based on economic models.
AIMS AND LEARNING OUTCOMES
At the end of the course, the student will be able to deal, autonomously and properly, with the learned mathematical topics and apply them to economic problems with the needed methodological rigor.
Knowledge and understanding: The students must learn the main mathematcal techniques for the optmization and the description of dynamical systems.
Ability to apply knowledge and understanding: The students must be able to model and solve mathematical problems of static optimization and dynamical system in the field of social sciences.
Making judgments: The students must be able to use the acquired knowledge with an autonomous evaluating assessment.
Communication skills: Students must be able to use the correct technical language for the communication of the results and for the description of the techniques.
Learning skills: Students will develop adequate learning skills in order to continue with further studies about other aspects of the subject and different fields of application than those illustrated.
Calculus and optimization in one variable and basic notions of linear algebra.
The course will be taught by frontal lectures.
- Advandced topics in linear algebra
- Advanced topics in integration theory and applications to Economics
- Calculus in several variables and optimization
- Constrained optimization and applications to Economic
- Simon, C., Blume, L.: Mathematics for Economists (1994), Norton and Company
- Peccati, L., D'Amico, M., Cigola, M. : Maths for Social Sciences (2018), Springer
- Knut Sydsaeter, Peter Hammond, Atle Seierstad, Arne Strom, "Further mathematics for Economic Analysis" (2nd edition), Pearson
TEACHERS AND EXAM BOARD
Ricevimento: Office hours: will be communicated at the beginning of the semester
MARIA LAURA TORRENTE (President)
L'orario di tutti gli insegnamenti è consultabile all'indirizzo EasyAcademy.
The exam will be written and will contain questions on the the theoretical and modeling features treated in the course as well as exercises.
The exam will evaluate the understanding of the contents of the course with the goal of assessing the reached skill of applying the tools and the methods learned in an economic perspective.
Other information will be provided during the course. For non-attending students the same rules apply.
Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools.