- Docente: Lorenzo Torricelli
- Credits: 6
- SSD: SECS-S/06
- Language: Italian
- Moduli: Lorenzo Torricelli (Modulo 1) Lorenzo Torricelli (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Economics, Markets and Institutions (cod. 8038)
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from Sep 20, 2023 to Oct 25, 2023
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from Oct 23, 2023 to Oct 24, 2023
Learning outcomes
The course aims at developing the basic mathematical tools necessary for the study of economics, statistics and finance. By completion of the course students are assumed to have gained insight into the basic theory of number sets, matrix algebras and vector spaces. They should be able to solve linear systems of equations, apply matrix diagonalization methods and classify quadratic forms.
Course contents
Functions domain and image, composition, injectivity surjectivity, invetibility.
Linear algebra: vectors and matrices, determinant of a matrix, rank of a matrix; linear systems: Cramer theorem, Rouchè-Capelli theorem, linear systems depending on a parameter. Diagonalizable matrices: eigenvalues, eigenvectors, spectral theorem; quadratic forms. Basics notions of linear functions .
Readings/Bibliography
Lecture notes will be provided during the course
Teaching methods
Classroom lectures
Assessment methods
Written exam, time allowed 2 hours, consisting of 5 or 6 questions both pracitcal and theoretical. A final outcome exceeding 30 points awards 30 "cum laude".
Teaching tools
Tablet and blackboard
Office hours
See the website of Lorenzo Torricelli