Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
Queste informazioni sono destinate esclusivamente agli studenti e alle studentesse già iscritti a questo corso. Se sei un nuovo studente interessato all'immatricolazione, trovi le informazioni sul percorso di studi alla pagina del corso:
Laurea interateneo in Ingegneria dei sistemi medicali per la persona - Immatricolazione dal 2025/2026.The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2024/2025
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3° Year It will be activated in the A.Y. 2025/2026
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1 module among the following
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1 module among the following
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Linear Algebra and Geometry (2023/2024)
Teaching code
4S009863
Academic staff
Coordinator
Credits
9
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/03 - GEOMETRY
Period
Semester 2 dal Mar 4, 2024 al Jun 14, 2024.
Courses Single
Authorized
Learning objectives
The main notions and techniques of linear algebra and matrix theory are presented, focusing both on theoretical and computational aspects. Moreover, the course provides an introduction to planar and spatial geometry, within the projective, affine, and euclidean setting, both analytical (coordinates, matrices) and synthetic tools will be employed.
At the end of the course the student must be able to demonstrate an adequate synthesis and abstraction ability and be able to formalize and solve linear algebra and geometric problems.
Prerequisites and basic notions
First abd second order equatiins, polynomial operations, elementary set theory; basic of geometry on the cartesian plane;
Basic of logic.
Program
Linear Algebra:
1. vector spaces
2. matrices
3. linear systems
4. determinats
5. eigenvalues and eigenvectos
6. diagonalization and triangulation of matrices
7. spectral theorem
Geometry
1. Scalar and vector product, norm, subspaces, projections, orthogonality, Gram-Schmidt
2. bilinear forms
3. Affine and euclidean spaces, isometries, subspaces in dimension 2 and 3.
Bibliography
Didactic methods
Lectures
Learning assessment procedures
Written exam
Evaluation criteria
Ability to use theory and carry out exercises; ability to abstract and prove theorems; knowledge of definitions.
Criteria for the composition of the final grade
Marking from written exam
Exam language
Italiano