Subject: Geometry 1	Code: MMG0001	

Semester	 Hours: C+S+L	Type	 Section	
1	2+2+0	compulsory	Mathematics	
1	2+2+0	compulsory	Mathematics and Computer Science	
1	2+2+0	compulsory	Applied Mathematics	

Teaching Staff in Charge	Lect. VACARETU Daniel, vacaretu@math.ubbcluj.ro
Prof. VARGA Csaba Gyorgy, Ph.D., csvarga@cs.ubbcluj.ro
Asist. ANDRAS Szilard Karoly, andrasz@math.ubbcluj.ro	
Aims	In the first part the course makes a gradual passage from the geometry studied in high-scholl to the principal notions of the three dimensional geometry and after that the objects of the three dimensional geometry are considered	
Content	I. Geometric transformations.
1. Izometries of euclidean plane: simetries, translations, rotations.
2. Homotety.
3. Inversion.
II. Analytical geometry of plane.
1. Vectorial space of free vectors.
2. Vectorial equations of straight lines.
3. Cartesian equations of straight lines in plane.
4. Circle.
5. Conics.
III. Analytical geometry in three-dimensional euclidean space.
1. Vectorial equations of straight lines and planes in space.
2. Cartesian equations of straight lines.
3. Cartesian equations of planes.
4. Sphere.
5. Cuadrics.
6. Generated surfaces	
Selective References	1. ANDRICA, D., VARGA, CS., VACARETU, D., Teme de geometrie, Ed. Promedia-Plus,   Cluj-Napoca, 1997
2. ANDRICA, D., VARGA, CS., VACARETU, D., Teme si probleme alese de geometrie, Ed.Plus,   Bucuresti,2002
3. GALBURA, GH., RADO, F., Geometrie, Ed. Did. si Ped. Bucuresti, 1979.
4. MIRON,R., Geometrie Analitica,Ed.Did. si Ped., Bucuresti, 1976.
5. MURGULESCU,E., si col.,Geometrie analitica si diferentiala,Ed.Did.si Ped.,Bucuresti,1971.
6. PINTEA, C., Geometrie, Presa Universitara Clujeana,2001.
7. UDRISTE, C., TOMULEANU, V., Geometrie analitica, Manual pentru clasa a-XI-a, Ed. Did si Ped. Bucurest	
Assessment	Exam