Enrollment year
2021/2022
Academic discipline
MAT/03 (GEOMETRY)
Department
DEPARTMENT OF MATHEMATICS "FELICE CASORATI"
Curriculum
PERCORSO COMUNE
Period
1st semester (29/09/2021 - 14/01/2022)
Lesson hours
84 lesson hours
Activity type
WRITTEN AND ORAL TEST
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.
Reccomended or required readings
E. Sernesi: "Geometria 1", Bollati Boringhieri.
S. Lang: "Algebra Lineare", Bollati Boringhieri.
Lecture notes given by the the professor.
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.
Sustainable development goals - Agenda 2030
Università di Pavia - Offerta formativa