Linear Algebra and Elements of Geometry - ELEMENTI DI GEOMETRIA (2012/2013)

Course code
4S00253
Credits
4
Academic sector
MAT/03 - GEOMETRY
Language of instruction
Italian
Location
VERONA
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 3 I semestre Nicola Sansonetto
Esercitazioni 1 I semestre Francesca Mantese

Lesson timetable

I semestre
Activity Day Time Type Place Note
Esercitazioni Tuesday 8:30 AM - 9:30 AM practice session Lecture Hall E from Dec 1, 2012  to Jan 31, 2013
Esercitazioni Tuesday 9:30 AM - 11:30 AM practice session Lecture Hall E from Dec 1, 2012  to Jan 31, 2013
Esercitazioni Wednesday 8:30 AM - 9:30 AM practice session Lecture Hall E from Dec 1, 2012  to Jan 31, 2013
Esercitazioni Wednesday 9:30 AM - 11:30 AM practice session Lecture Hall E from Dec 1, 2012  to Jan 31, 2013

Learning outcomes

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.

Syllabus

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.

Assessment methods and criteria

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.

Teaching aids
Title Format (Language, Size, Publication date)
Informazioni utili al corso di Elementi di Geometria  pdfpdf (it, 88 KB, 13/12/12)
Programma ufficiale di Elementi di Geometria - 2012/2013  pdfpdf (it, 133 KB, 04/02/13)