Enrollment year
2015/2016
Academic discipline
MAT/03 (GEOMETRY)
Department
DEPARTMENT OF PHYSICS
Curriculum
PERCORSO COMUNE
Period
1st semester (01/10/2015 - 15/01/2016)
Lesson hours
84 lesson hours
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 (conics, cone cylinders).
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
Further information
Written and oral exam
Sustainable development goals - Agenda 2030
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