Subject: Complements of Geometry	Code: MG009	

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
Lect. VACARETU Daniel, vacaretu@math.ubbcluj.ro	
Aims	Some supplementary results suceining the elementary geometry are given. The main topics of the course are very useful for the students becoming tachers in Mathematics	
Content	I. An introduction in the triangle and circle geometry : concurencies and colinearities,
metric relations, Lemoine's circles, Tucker's circles,nine points circle, Titeica's five lei coin problem, Simson line, Lalescu's S-triangles. 
II. Vectorial calculus in geomatry.
III.Complex numbers in geometry	
Selective References	1. D.ANDRICA- CS.VARGA,-D.VACARETU, Teme de geometrie, Promedia-Plus, Cluj-Napoca,1997. 
2. D.ANDRICA- CS.VARGA-D.VACARETU, Teme si probleme alese de geometrie, Ed.Plus, Bucuresti,2002.  
3. ANDRICA,D.-BISBOACA,N.,Numere complexe de la A la Z. Ed.Milenium.Alba Iulia,2001.  
4. D.BRANZEI, COL., Planul si spatiul euclidian, Editura Academiei, Bucuresti, 1986.  
5. LALESCU,T., Geometria triunghiului,Ed.Tineretului,1958.  
6. MIHAILESCU,C., Geometria elementelor remarcabile,Ed.Tehnica,Bucuresti,1957.  
7. NICOLESCU, L.-BOSKOFF, V., Probleme practice de geometrie, Editura Tehnica, Bucuresti, 1990 	
Assessment	30% from the final mark is the activity during one semester
70% from the final mark is the mark from a written test.