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
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
Modules | Credits | TAF | SSD |
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2° Year activated in the A.Y. 2015/2016
Modules | Credits | TAF | SSD |
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3° Year activated in the A.Y. 2016/2017
Modules | Credits | TAF | SSD |
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Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
Modules | Credits | TAF | SSD |
---|
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 Elements of Geometry (2014/2015)
The teaching is organized as follows:
ELEMENTI DI GEOMETRIA
Credits
6
Period
See the unit page
Academic staff
See the unit page
Learning outcomes
First of all, the students are introduced to the language and formal reasoning required for the study of higher mathematics. Furthermore, the main notions and techniques of linear algebra and matrix theory are presented, focussing both on theoretical and computational aspects. Moreover, the course provides an introduction to planar and spatial analytic geometry, within the projective, affine, and euclidean setting. Finally, the main properties of conics will be discussed. Both analytical (coordinates, matrices) and synthetic tools will be employed.
Program
Module: ALGEBRA LINEARE
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Sets. Direct and indirect proofs. The principle of induction. Complex numbers. Matrices, matrix operations and their properties. Determinant and rank of a matrix. Inverse matrix. Systems of linear equations. The method of Gaussian elimination. Vector spaces, subspaces, bases, dimension. Linear maps. Eigenvalues and eigenspaces.
Module: ELEMENTI DI GEOMETRIA
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Affine and Euclidean spaces. Lines, planes, hyperplanes. Vector product and mixed product. Affine and isometric transformations. Projective spaces. Geometry of projective plane. Conics.
Bibliography
Author | Title | Publishing house | Year | ISBN | Notes |
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E.Gregorio, L.Salce | Algebra Lineare | Libreria Progetto Padova | 2005 | ||
Candilera,Bertapelle | Algebra lineare e primi elementi di Geometria | Mc Graw Hill | 9788838661891 | ||
M. Abate | Geometria | Mc Graw Hill | 9788838607226 | ||
M. Abate, C. de Fabritiis | Geometria analitica con elementi di algebra lineare | McGraw Hill | 2010 | 9788838665899 |
Examination Methods
The exam consists of:
- a joint written examination on the module Linear Algebra and the module Elements of Geometry,
- a joint oral examination on both modules.
Only students who have passed the written examination will be admitted to the oral examination.