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

Code	Subject	
MMG0002	Geometry	

Section	Sem.	Hours: C+S+L	Category	Type	
Computer Science	2	2+2+0	fundamental	compulsory	
Information engineering	2	2+2+0	fundamental	compulsory	

Teaching Staff in Charge	Assoc.Prof. BLAGA Paul Aurel, Ph.D., pablaga@cs.ubbcluj.ro
Assoc.Prof. PINTEA Cornel, Ph.D., cpintea@math.ubbcluj.ro
Lect. TOPAN Liana Manuela, Ph.D., ltopan@math.ubbcluj.ro
Lect. MEZEI Ildiko Ilonka, ildiko.mezei@math.ubbcluj.ro
Assoc.Prof. SÁNDOR Jozsef, Ph.D., jsandor@math.ubbcluj.ro	
Aims	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.	
Content	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

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
	
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%).