LINEAR ALGEBRA

Academic year
2024/2025 Syllabus of previous years
Official course title
ALGEBRA LINEARE
Course code
CT0632 (AF:520913 AR:291990)
Modality
On campus classes
ECTS credits
6
Degree level
Bachelor's Degree Programme
Educational sector code
MAT/03
Period
2nd Semester
Course year
1
Where
VENEZIA
Moodle
Go to Moodle page
The course is one of the basic activities of the Bachelor's Degree in Informatics. It aims at presenting the fundamental ideas of linear algebra, gradually accustoming the student to the abstract concepts of mathematics. A wide variety of geometric and practical applications will accompany the introduction of theoretical notions.
Knowledge and understanding of the fundamental linear algebra topics: linear systems, matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, and geometric and computational applications. Ability to apply this knowledge in solving targeted exercises.
Elementary notions of mathematics of secondary school.
Numeric fields and complex numbers. Introduction to the geometric vectors. Real vecotr spaces: linear independence and bases. Linear transformations: kernel and rank . Linear equations. Gauss elimination algorithm. Matrices: operations, special and invertible matrices..
Application of the matrices to the linear systems. Determinant of a square matrix. Autovalues and autovectors. Diagonalisation of a matrix. Inner product. Quadratic forms. Characterization of symmetric matrices.
Lecturer's slides and material (in italian).

Other book:
M. Abate, Algebra lineare, Mc Graw Hill 2000
The exam consists of a written test (duration: two hours) composed of open-ended problems with the aim of verifying the students' ability to solve equations with complex numbers, parametric linear systems, analyze linear applications in abstract vector spaces and calculate eigenvalues ​​and eigenvectors of a matrix, showing that they know how to apply various calculation techniques, such as the determinant of a square matrix. The written test also includes a theoretical question aimed at assessing the level of understanding of the main notions introduced in the course. The test grade is given by the sum of the points assigned to the individual problems and the theoretical question. The exam can be passed with a minimum score of 18. A sheet of notes is allowed during the exam.
Lectures delivered in presence.
A tutoring activity devoted to the resolution of exercises is planned.
Italian
written
Definitive programme.
Last update of the programme: 21/10/2024