Subject: Numerical Analysis (1)	Code: MC001	

Semester	 Hours: C+S+L	Type	 Section	
5	2+2+2	compulsory	Mathematics	
5	2+1+2	compulsory	Computer Science	
5	2+2+2	compulsory	Mathematics-Computer Science	
5	2+2+2	compulsory	Applied Mathematics	

Teaching Staff in Charge	Assoc.Prof. CHIOREAN Ioana Rodica, Ph.D., ioana@cs.ubbcluj.ro
Assoc.Prof. TRÎMBITAS Radu Tiberiu, Ph.D., tradu@cs.ubbcluj.ro
Asist. SOMOGYI Ildiko Mihaela, ilkovacs@math.ubbcluj.ro
Lect. LISEI Hannelore-Inge, Ph.D., hanne@math.ubbcluj.ro
Lect. MICULA Sanda, Ph.D., smicula@math.ubbcluj.ro	
Aims	Basic course in numerical analysis	
Content	1. Error theory. Approximation. Types of errors. Finite and divided differences.
2. Functions approximation. Interpolation. Uniform approximation. Linear and positive operators.
3. Approximation of linear functionals. Numerical derivatives. Numerical cuadratures.
4. Numerical solutions of some classes of operatorial equations. Direct and iterative methods for solving linear systems of equations. Multigrid methods. Numerical methods for solving nonlinear equations. Numerical methods for differential equations.
5. Example of solving practical problems from Physics, Biology, Chemistry by means of numerical analysis	
Selective References	1. COMAN,GH.: Analiza numerica, Ed. Libris, Cluj-Napoca, 1995.
2. STANCU,D.D.: Analiza numerica, curs si culegere de probleme, Univ. Babes-Bolyai Cluj-Napoca, 1977 (lito).
3. AGRATINI,OCTAVIAN- BLAGA,PETRU- CHIOREAN,IOANA- COMAN,GHEORGHE- STANCU,D.DIMITRIE- TRAMBITAS,RADU: Analiza numerica si teoria aproximarii(vol.I,II,III), Presa Univ.Clujeana, 2002
4. BLAGA,PETRU - COMAN,GHEORGHE, TRAMBITAS,RADU - VASARU,DANIELA- POP,SORIN: Analiza numerica, lucrari de laborator, Univ. Babes-Bolyai Cluj-Napoca, 1995 (lito).
5. GELFAND,A.O.:  Calculul cu diferente finite, Ed. Tehnica Bucuresti 1956.
6. DEMIDOVICI,B.P.- MARON, A.: Elements de calcul numerique, Ed. Mir, Moscou, 1979	
Assessment	The final mark is the mean between the final written exam (60%) and periodical tests and individual work at the laborator classes (40%).
For Computer Scientists the final score consists of: 2/5 written exam, 2/5 practical exam and 1/5 yearly activity