Mathematics (2019/2020)

Learning outcomes

The course has a dual purpose: first of all, to provide students with a rigorous scientific language based on a logical-mathematical deductive reasoning; in addition, the course aims to provide students with some analytical tools and basic mathematical models to deal with business-economical problems. The course yields the classical arguments from Mathematical Analysis and Linear Algebra. At the end of the lessons, the student will have to demonstrate that he has acquired the ability to critically review the mathematical concepts encountered in the course and to apply methods, tools and mathematical models.

1. Basic mathematical notions
2. One variable functions
3. Limits
4. Differential calculus
5. Integration theory
6. Numerical series
7. Vector spaces, transformations and matrices
8. Systems of linear equations
9. Several variables functions

The detailed program and further educational material are available in the course web page.

Teaching supply
The course consists of 84 hour lectures and exercise lectures (equivalent to 9 credits).

In order to pass the exam students are asked to pass first a written close answer test. A second oral exam is then proposed, with one exercise and theoretical questions.

Intermediate test

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.
- 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.