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

Code	Subject	
MMG0001	Geometry 1	

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

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.	
Bibliography	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. Bucuresti	
Assessment	Exam.