|Teoria||3||I semestre||Nicola Sansonetto|
|Esercitazioni||1||I semestre||Francesca Mantese|
The course provides an introduction to planar and spatial analytic geometry, within the projective, affine, euclidean setting, respectively. Moreover the respective properties of conics therein will be extensively covered. Both analytical (coordinates, matrices) and synthetic tools will be employed. The course aims at strengthening the students' geometric intuition, abstraction and computational skills, in view of future developments and applications.
Affine and Euclidean spaces. Affine and isometric transformations. Barycentric coordinates. Ceva's theorem and applications. Projective spaces. Homogeneous coordinates. Geometry of projective plane. Conics. Polarity. Reciprocity theorem. Pencils of conics. Projective, affine, metrical
classification of conics.
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.
|Title||Format (Language, Size, Publication date)|
|Informazioni utili al corso di Elementi di Geometria||pdf (it, 88 KB, 13/12/12)|
|Programma ufficiale di Elementi di Geometria - 2012/2013||pdf (it, 133 KB, 04/02/13)|
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Italian Fiscal Code 93009870234
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