Subject: Geometry	Code: MMG0002	

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

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	
Selective References	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