Universitatea Babeş-Bolyai Cluj-Napoca
Facultatea de Matematică şi Informatică
Ciclul de studii: Licenţă
Domeniul: Calculatoare şi tehnologia informaţiei
Programul de studii: Ingineria informatiei - in limba engleza
Limba de predare: Engleză

SYLLABUS

I. General data
Code	Subject	
MMG0002	Geometry	

Semester	Hours: C+S+L+P	Category	Status	
2	2+2+0+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.	Algebra, Mathematical Analysis and Geometry	*			

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

III. Course objectives
The aim of the course is to familiarize the students with the main notions and results of analytical, affine, projective and differential geometry with a view to computer graphics and CAGD.	

IV. Course contents
I. Analytic geometry
1. Vector algebra
2. Coordinate systems
3. The line in the plane
4. The line and the plane in space
5. Conical sections
6. Quadrics
7. Generated surfaces
II. Geometric transforms
1. Affine transforms in the plane
2. Homogeneous coordinates
3. Plane transforms in homogeneous coordinates
4. 3d affine transforms in homogeneous coordinates
5. Quaternions and 3d rotations
6. Projections

V. Bibliography
1. D. Andrica, L. Ţopan - Analytic Geometry, Cluj University Press, 2004
2.M. Audin - Geometry, Springer, 2003
3.M. Berger - Geometry (vol. I şi II), Springer, 1987
4.P. A. Blaga - Lectures on Classical Differential Geometry, Risoprint, 2005
5.D. Dogaru - Elemente de grafică tridimensională, Editura Ştiinţifică şi Enciclopedică, 1988
6.P. A. Eggerton, W.S. Hall - Computer Graphics (Mathematical First Steps), Prentice Hall, 1999
7.N.N. Golovanov - Geometriceskoe modelirovanie, Izd. Fizmatlit, 2002 (în limba rusă)
8.C.F. Hoffmann - Geometric and Solid Modeling, Morgan Kaufmann, 1989
9.M.E. Mortenson - Geometric Modeling  (ediţia a II-a), John Wiley,  1995
10.D.F. Rogers, J.A. Adams - 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
There will be two written exams. The final grade will consist of the arithmetic mean of the two exams (70%) and the activity during the semester (30%).	

IX. Additional references

	Dean,							Chair head,

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