## "Babes-Bolyai" University of Cluj-Napoca Faculty of Mathematics and Computer Science

 Complements of Geometry
 Code Semes-ter Hours: C+S+L Type Section MG009 7 2+2+0 optional Matematica MG009 7 2+2+0 optional Matematică-Informatică
 Teaching Staff in Charge
 Prof. VARGA Csaba Gyorgy, Ph.D.,  csvargacs.ubbcluj.roLect. VACARETU Daniel,  vacaretumath.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.
 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.
 Links: Syllabus for all subjects Romanian version for this subject Rtf format for this subject