Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT

Code	Subject	
MG009	Complements of Geometry	

Section	Semester	Hours: C+S+L	Category	Type	
Mathematics - in Hungarian	7	2+2+0		optional	
Mathematics - in Romanian	8	2+2+0		optional	
Mathematics-Computer Science - in Hungarian	7	2+2+0		optional	
Mathematics-Computer Science - in Romanian	8	2+2+0		optional	

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.	
Bibliography	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.