Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT
| MMG0001 | Geometry 1 |
| Teaching Staff in Charge |
Lect. VACARETU Daniel, vacaretu math.ubbcluj.roProf. VARGA Csaba Gyorgy, Ph.D., csvarga cs.ubbcluj.roAsist. ANDRAS Szilard Karoly, andrasz math.ubbcluj.ro |
| Aims |
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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 |
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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. |
| References |
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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 |
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Exam. |
| Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |