LINEAR ALGEBRA
Stampa
Enrollment year
2019/2020
Academic year
2019/2020
Regulations
DM270
Academic discipline
MAT/03 (GEOMETRY)
Department
DEPARTMENT OF MATHEMATICS "FELICE CASORATI"
Course
MATHEMATICS
Curriculum
PERCORSO COMUNE
Year of study
Period
1st semester (30/09/2019 - 10/01/2020)
ECTS
9
Lesson hours
84 lesson hours
Language
Italian
Activity type
WRITTEN AND ORAL TEST
Teacher
PIROLA GIAN PIETRO (titolare) - 6 ECTS
FREDIANI PAOLA - 3 ECTS
Prerequisites
Elementary algebra and some basic calculus.
Learning outcomes
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.
Course contents
Linear algebra

Extended summary
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.
Teaching methods
Lessons
Reccomended or required readings
E. Sernesi: "Geometria 1", Bollati Boringhieri.
S. Lang: "Algebra Lineare", Bollati Boringhieri.
Dispense fornite dal docente.
Assessment methods
Written and oral exam.
The written exam consists of various exercises on the topics of the lectures. The oral exam verifies the knowledge and comprehension of the definitions and of the theorems treated in the course.
Further information
Sustainable development goals - Agenda 2030