Linear Algebra and Elements of Geometry - ELEMENTI DI GEOMETRIA (2013/2014)

Course code
4S00253
Credits
6
Academic sector
MAT/03 - GEOMETRY
Language of instruction
Italian
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 2 I semestre Lidia Angeleri
Teoria 1 2 I semestre Francesca Mantese
Esercitazioni 2 I semestre Nicola Sansonetto

Lesson timetable

I semestre
Activity Day Time Type Place Note
Teoria Tuesday 8:30 AM - 11:30 AM lesson Lecture Hall E from Dec 1, 2013  to Dec 23, 2013
Teoria Wednesday 8:30 AM - 11:30 AM lesson Lecture Hall E from Dec 1, 2013  to Dec 23, 2013
Teoria 1 Tuesday 8:30 AM - 11:30 AM lesson Lecture Hall E from Jan 7, 2014  to Jan 31, 2014
Teoria 1 Wednesday 8:30 AM - 11:30 AM lesson Lecture Hall E from Jan 7, 2014  to Jan 31, 2014
Esercitazioni Monday 11:30 AM - 1:30 PM practice session Lecture Hall E  
Esercitazioni Thursday 11:30 AM - 1:30 PM practice session Lecture Hall E  

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 (second part) 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.

The course aims at strengthening the students' skills in abstract thinking, geometric intuition, and computational abilities, in view of future developments and applications.

Syllabus

Affine and Euclidean spaces. Lines, planes, hyperplanes. Vector product and mixed product. Affine and isometric transformations.
Projective spaces. Geometry of projective plane. 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)
Compiti anni precedenti-1  zipzip (it, 4194 KB, 23/01/14)
Compiti anni precedenti-2  zipzip (it, 613 KB, 23/01/14)
Elementi di Geometria Proiettiva  pdfpdf (it, 563 KB, 14/01/14)
Elementi di teoria delle coniche  pdfpdf (it, 1251 KB, 23/01/14)
Elementi di Teoria delle Coniche-parte 1  pdfpdf (it, 908 KB, 20/01/14)
Foglio 1  pdfpdf (it, 108 KB, 03/10/13)
Foglio 10  pdfpdf (it, 97 KB, 12/12/13)
Foglio 11  pdfpdf (it, 99 KB, 19/12/13)
Foglio 12  pdfpdf (it, 112 KB, 12/01/14)
Foglio 2  pdfpdf (it, 87 KB, 10/10/13)
Foglio 3  pdfpdf (it, 91 KB, 17/10/13)
Foglio 4  pdfpdf (it, 82 KB, 24/10/13)
Foglio 5  pdfpdf (it, 86 KB, 31/10/13)
Foglio 6 (versione aggiornata)  pdfpdf (it, 87 KB, 12/11/13)
Foglio 7  pdfpdf (it, 94 KB, 14/11/13)
Foglio 8  pdfpdf (it, 94 KB, 21/11/13)
Foglio 9  pdfpdf (it, 83 KB, 28/11/13)