- ECTS Credits: N/A
- Semester: 1
- Year: 1
- Campus: University of L'Aquila
- Language: English
- Aims:
This 3-week set of lectures is meant to guarantee a common basic background (as much as possible) for all students in order to tackle the topics taught in Semester 1.
Moreover, this set of lectures will make the students get used to a "uniSed" mathematical language.
- Content:
- Set theory.
- Linear algebra: matrices, bases, eigenvectors, eigenvalues, diagonalisation.
- Comples variables.
- Differential equations: existence and uniqueness of solutions to a Cauchy problem, linear scalar equations.
- Basic concepts in probability and statistics.
- Additional info:
This set of lectures is extra-curricular and does not provide any ECTS. Self-evaluation tests will be proposed during the course.
- Unit Coordinator: Riccardo Aragona
- Programme: Pre Master's Foundation
- ECTS Credits: 3
- Taught hours: 18
- Campus: University of L'Aquila
- Language: English
- Delivery: Online
- Content:
Linear spaces, linear dependence, bases of a linear space, dimension of a linear space, linear subspaces.
Matrices, basic operations with matrices, change of coordinates, determinants, rank. A brief account on linear systems and Gauss elimination.
Diagonalisation of squared matrices, eigenvalues, eigenvectors. Inner products, bilinear forms and quadratic forms.
- ECTS Credits: 3
- Semester: 1
- Year: 2
- Campus: Ivan Franko National University of Lviv
- ECTS Credits: 10
- Semester: 1
- Year: 2
- Campus: Leibniz University Hannover
- Language: English
