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

Code	Subject	
MMG0002	Geometry	

Section	Semester	Hours: C+S+L	Category	Type	
Computer Science	2	3+2+0	fundamental	compulsory	

Teaching Staff in Charge	Assoc.Prof. BLAGA Paul Aurel, Ph.D., pablaga@cs.ubbcluj.ro
Prof. VARGA Csaba Gyorgy, Ph.D., csvarga@cs.ubbcluj.ro
Lect. TOPAN Liana Manuela, Ph.D., ltopan@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. 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
	
Assessment	Exam.