Subject: Projective Geometry	Code: MG021	

Semester	 Hours: C+S+L	Type	 Section	
7	2+2+0	optional	Mathematics	
7	2+2+0	optional	Mathematics-Computer Science	

Teaching Staff in Charge	Prof. VARGA Csaba Gyorgy, Ph.D., csvarga@cs.ubbcluj.ro	
Aims	This course  is an introduction in the syntetic and differential projective geometry. The course covers the following chapters: anarmonic rate,  projections, affinities,   the principle of duality,  homogeneous coordinates, analitycal representation of  projective transformations, projective groups,  geomtry attached to a group. 	
Content	I. Sintetic study 
   1. Anarmonic rate
   2. Projections
   3. Affinities
   4. Similarity
   5. The principle of duality. 

II. Analitical study
  1. Homogeneous coordinates
  2. Analitycal representation of  projective transformations
  3. Quadratical forms
  4. Projective groups
  5. Geomtry attached to a group. 	
Selective References	1. VASIU A. -VASIU ANGELA, Geometrie proiectiva si structuri algebrice, 1998  
2. HYGHENS D.-PIPER F., Projective planes, Springer Verlag, New-York, Heidelberg, Berlin, 1973  
3. ANDRICA, D.-VARGA, CS.- VACARETU, D., Teme de geometrie, Ed. Promedia-Plus, Cluj-Napoca, 1997  
4. MIHAILEANU N. N., Elemente de geometrie proiectiva, Ed. Tehnica, Bucuresti, 1966  
5. COXETER, H.S.M., A geometriak alapjai, Muszaki Konyvkiado, Budapest, 1973.
6. KEREKJARTO, BELA, Les Fondements de la Geometrie, Akademia Kiado, 1966.

Assessment	30% from the final mark is the activity during one semester
70% from the final mark is the mark from a written test