Linear algebra: vectors, matrices, vector spaces, linear maps, linear systems, eigenvalues and eigenvectors, spectral theory in Hermitian and euclidean spaces.
Analytic gometry of the plane and of the space: Lines and planes, Conics and quadrics.
A. Nannicini Lezioni di Algebra Lineare Pitagora
A. Nannicini Esercizi svolti di algebra lineare vol. 1 e 2 Pitagora
A. Nannicini L. Verdi Note ed esercizi svolti di geometria analitica Pitagora
Knowledge acquired: the course is fpcused on Linear Algebra and Analytic Geometry, exercises and applications will be described.
Competence acquired: basic concepts of Linear Algebra and Analytic Geometry.
Skills acquired: ability to use the foundamental notions of Linear Algebra and Analytic Geometry.
Basic knowledge of mathematics related to secondary school degree.
Lectures as per official timetable, exercises in the course, individual study.
Attendance at lectures and exercises recommended.
Teaching tools: UniFi E-Learning:http//e-l.unifi.it
Type of Assessment
Final examination with written test and oral test. Intermediate written tests are provided.
1. Preliminaries: Linear structure of K^n. Metric structure on R^n. Complex numbers. 2. Vector spaces. 3. Linear maps. 4. Determinant. 5. Rank. 6. Linear systems. 7. Euclidean and hermitian spaces. 8. Eingenvalues and eigenvectors. 9. Spectral theory in hermitian and euclidean spaces.
Analytic Geometry: straight lines and planes in space, conics, quadrics.