Universitatea Babeş-Bolyai Cluj-Napoca
Facultatea de Matematică şi Informatică
Ciclul de studii: Licenţă
Domeniul: Informatică
Programul de studii: Informatică - în limba engleză
Limba de predare: Engleză

SYLLABUS

I. General data
Code	Subject	
MMG0002	Geometry	

Semester	Hours: C+S+L	Category	Status	
2	3+2+0	fundamental	compulsory	

II. Full status faculty members
Name and	Scientific	Didactic	Chair	Type of activity	
surname	title	title		C	S	L	
TOPAN Liana Manuela	Ph.D.	Lect.	Geometry	*			

Associated faculty members
Name and	Scientific	Institution	Type of	Type of activity	
surname	title		position	C	S	L	

III. Course objectives
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.	

IV. Course contents
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.	

V. Bibliography
1. D. Andrica, L. Ţopan &#8211; Analytic Geometry, Cluj University Press, 2004
2.M. Audin &#8211; Geometry, Springer, 2003
3.M. Berger &#8211; Geometry (vol. I şi II), Springer, 1987
4.P. A. Blaga &#8211; Lectures on Classical Differential Geometry, Risoprint, 2005
5.D. Dogaru &#8211; Elemente de grafică tridimensională, Editura Ştiinţifică şi Enciclopedică, 1988
6.P. A. Eggerton, W.S. Hall &#8211; Computer Graphics (Mathematical First Steps), Prentice Hall, 1999
7.N.N. Golovanov &#8211; Geometriceskoe modelirovanie, Izd. Fizmatlit, 2002 (în limba rusă)
8.C.F. Hoffmann &#8211; Geometric and Solid Modeling, Morgan Kaufmann, 1989
9.M.E. Mortenson &#8211; Geometric Modeling  (ediţia a II-a), John Wiley,  1995
10.D.F. Rogers, J.A. Adams &#8211; Mathematical Elements for Computer Graphics (ediţia a II-a), McGraw-Hill, 1990

VI. Thematic of didactic activities per weeks

VII. Didactic methods used

VIII. Assessment
Exam.	

IX. Additional references

	Date,							Course responsible,
								Lect. TOPAN Liana Manuela, Ph.D.