Scientific Disciplinary Sector (SSD)
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
primo semestre (lauree) dal Sep 20, 2021 al Jan 14, 2022.
The course has a dual purpose: first of all, to make students acquire a rigorous scientific language based on deductive logical-mathematical reasoning; in addition, the course aims to provide students with some analytical tools and basic mathematical models to deal quantitatively with the treatment of economic and business problems. In particular, the foundations of differential and integral calculus, optimization and linear algebra will be provided, which constitute effective tools for analyzing economic and business phenomena. At the end of the lessons the student will have to demonstrate that she has developed the aptitude to face mathematical problems with reasoning and the ability to use, in the application contexts, the appropriate methods, tools and mathematical models. The traditional lectures, dedicated to the more general and theoretical aspects of the discipline, but not without applicative references, are accompanied by hours of exercises, aimed exclusively at solving computational problems and applying them. The students also find in the E-learning pages of the course, as the lessons progress, learning verification tests on the various topics covered.
1. Basic mathematical notions (basic algebra, equations, inequalities, analytic geometry)
2. One variable functions
4. Differential calculus
5. Integration theory
6. Numerical series
7. Vector spaces, linear transformations and matrices
8. Systems of linear equations
9. Several variables functions. Differential calculus in several variables
The detailed program and the whole educational material are available in the web page and in the e-learning page of the course.
The course consists of 48 hour lectures (equivalent to 6 credits), devoted mainly to the theoretical and general aspects, and 36 hour exercise lectures (equivalent to 3 credits), dedicated to the solution of computational problems. Both lessons and exercises are in Italian.
In the web page of the course students may find the teacher's lecture notes, the exercise lectures with the relative solutions and all the exams proposed in the previous exam sessions. In the e-learning pages students may test their skill. The students showing good results in the tests have a 1-2 point bonus in their final mark. The whole teaching material is in Italian.
During the lesson semester and before the exam sessions there is a tutoring service (also in Italian), organized by senior students, trained by the teachers.
Visualizza la bibliografia con Leganto, strumento che il Sistema Bibliotecario mette a disposizione per recuperare i testi in programma d'esame in modo semplice e innovativo.
In order to pass the exam students are asked to pass first an open answer test. A second written exam is then proposed, with 3 exercises and 5 theoretical questions. A final oral exam is required only in case of a non full sufficiency. All the examination activities are in Italian.
Students have the possibility, after a half of the course, to pass a partial written exam, that will count for the final passing.
This intermediate test has the same structure as the ordinary written exam.
- It is discretionary and it does not prevent the student from refusing the result and taking the full exam.
- The student that passes the intermediate test may complete the exam by passing a similar final written test. The final score will be the mean of the two. An oral exam may be required again in case of a non full sufficiency.
- The subjects of the intermediate test will be specified in advance in the course web page. These subjects will be kept out the final test.
- Students that pass the intemediate test may take the final test within the winter session.
The intermedate test is scheduled with the intent that students tackle from the beginning the subject matter in a regular and systematic way. So they can get the advantage of passing one half of the exam. The intermediate test, in case of a failure, may also be useful to give important hints on what went wrong.
Further details may be found on the course web page [http://cide.univr.it/aperetti/matematica/corso_matematica.html].