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. Vector spaces and matrices
7. Systems of linear equations
8. Functions of several variables

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

Teaching supply
The course includes 48 hours of lectures (equivalent to 6 credits) and 36 hours of exercise lectures (equivalent to 36 credits).
Beside lectures on theoretical topics, the course includes exercise lectures to complete the knowledge with an adequate calculus ability.

Written and oral final exam.
The written exam is divided in two parts:
- a preliminary multiple-choice test aimed at ensuring the knowledge of basic notions as well as the ability to use formal mathematical language;
- a second part consisting in the resolution of 4 exercises to test the student's ability to apply methods, analytic tools and basic mathematical models.
A minimum mark (15/30) is required at the written test to be admitted to the oral exam.
The oral exam consists at first in discussing the possible mistakes of the written test; then, in investigating the student's preparation on the theoretical part of the course; therefore, definitions, simple propositions, statements, proofs and insights of the main theorems may be required.