Unit GEOMETRY

Course
Physics
Study-unit Code
GP005446
Curriculum
In all curricula
Teacher
Daniele Bartoli
Teachers
  • Daniele Bartoli
Hours
  • 63 ore - Daniele Bartoli
CFU
9
Course Regulation
Coorte 2021
Offered
2021/22
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
A. Basile, L. Stramaccia - “Algebra Lineare e Geometria” - COM Publishing
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.
Learning verification modality
The exam includes a written test and an oral test. The written test consists of the solution of exercises and the answer to theoretical questions. The test lasts no more than 180 minutes. It is aimed to verify the ability to solve problems relating to the topics of the course. Moreover it tests the ability to communicate in written form. The oral exam consists of a discussion that lasts about 20 minutes. It is aimed to test the level of knowledge and understanding reached by the student on the theoretical and methodological contents that is indicated in the program. The oral test is going to verify student communication concerning the correct register used. And also the autonomous organization during the oral report on the same theoretical topics. The all test is focused to check: the ability to know and understand, the ability to apply the skills acquired, the ability of the oral report, the ability to learn and develop solutions in an autonomy judgment.

For information on support services for students with disabilities and / or SLD visit 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. Outline of orthogonal operators, symmetric operators and spectral theorem.
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