Unit GEOMETRY

Course
Physics
Study-unit Code
GP005446
Location
PERUGIA
Curriculum
In all curricula
Teacher
Daniele Bartoli
Teachers
  • Daniele Bartoli
Hours
  • 63 ore - Daniele Bartoli
CFU
9
Course Regulation
Coorte 2023
Offered
2023/24
Learning activities
Base
Area
Discipline matematiche e informatiche
Academic discipline
MAT/03
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents
Plane and solid analytic geometry. Linear systems. Basic elements of linear algebra: vector space, base, matrix, determinant, linear map, linear operator, eigenvalue and eigenvector, diagonalization of a linear operator, scalar product, vector product.
Reference texts
Notes
Educational objectives
Knowledge of basic linear algebra. Problem solving in plane and solid analytic geometry.
Prerequisites
A certain degree of interest in mathematical problems. Real knowledge of maths taught at secondary school.
Teaching methods
Theoretical lectures and practical training. In each lesson half time will be dedicated to problems solutions.
Other information
For other information, please contact the professor directly.
daniele.bartoli@unipg.it
Learning verification modality
The test consists of three parts
-TEST concerning definitions and statements
- WRITTEN TEST concerning the resolution of exercises
- ORAL EXAM on theoretical notions

The three tests must be done in the same appeal. Passing the TEST is necessary for the continuation of the exams.

For information on support services for students with disabilities and / or SLD visit http://www.unipg.it/disabilita-e-dsaThe exercises will not be hard; each of them might be solved in at most 10 minutes by a well prepared student. These exercises are finalized to verify the students' capacity in handling the algebraic-geometric tools treated in the theory.
The purpose of the oral examination is to verify the students' capacity in illustrating the subject with a special attention to a rigorous math language and to the synthesis.
Info about how to support students with disabilities and/or DSA can be found at http://www.unipg.it/disabilita-e-dsa
Extended program
Plane and solid analytic geometry. Linear systems. Basic elements of linear algebra: vector space, base, subspace, matrix, determinant, linear map and associated matrix, linear operator, eigenvalue and eigenvector, diagonalization of a linear operator, scalar product, vector product. Orthogonal operators, symmetric operators and spectral theorem.
Obiettivi Agenda 2030 per lo sviluppo sostenibile
4
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