Linear Algebra
- Professors:
- Frediani Paola, Pernazza Ludovico
- Year:
- 2016/2017
- Course code:
- 500205
- ECTS:
- 9
- SSD:
- MAT/03
- DM:
- 270/04
- Lessons:
- 84
- Period:
- I semester
- Language:
- Italian
Objectives
We would like to give the elementary notions of linear algebra to introduce the student to the vector and matrix language. Great relevance will be given to applications to linear system and to analytic geometry.
Teaching methods
Lessons
Examination
Written and oral exam
Prerequisites
Elementary algebra and some basic calculus.
Syllabus
Geometric vectors. Vector Spaces
generators and linear dependence, basis.
Linear systems, matrix rank. Determinant, linear problems coordinates and change of coordinates.
Operators, eigenvalues and eigenvectors.
Diagonalization.
Bilinear forms and scalar products.
Lines and plane in the space, example of curves and of surfaces (conics, cones, spheres).
generators and linear dependence, basis.
Linear systems, matrix rank. Determinant, linear problems coordinates and change of coordinates.
Operators, eigenvalues and eigenvectors.
Diagonalization.
Bilinear forms and scalar products.
Lines and plane in the space, example of curves and of surfaces (conics, cones, spheres).
Bibliography
E. Sernesi, Geometria 1, Bollati Boringhieri
S. Lang, Algebra lineare, Bollati Boringhieri
S. Lang, Algebra lineare, Bollati Boringhieri
Modules
- Professor:
- Frediani Paola
- Lessons:
- 56
- ECTS:
- 6
- Professor:
- Pernazza Ludovico
- Lessons:
- 28
- ECTS:
- 3
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602