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

Complements of geometry
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MMG0007
6
2+1+0
6
optional
Matematică
MMG0007
6
2+1+0
5
optional
Matematică informatică
MMG0007
6
2+1+0
6
optional
Matematici aplicate
Teaching Staff in Charge
Prof. VARGA Csaba Gyorgy, Ph.D.,  csvargacs.ubbcluj.ro
Lect. 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.