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

Code	Subject	
MMN0002	Numerical Analysis	

Section	Semester	Hours: C+S+L	Category	Type	
Mathematics	4	2+2+2	speciality	compulsory	
Mathematics and Computer Science	4	2+2+2	speciality	compulsory	
Applied Mathematics	4	2+2+2	speciality	compulsory	

Teaching Staff in Charge	Assoc.Prof. CHIOREAN Ioana Rodica, Ph.D., ioana@cs.ubbcluj.ro
Assoc.Prof. TRÎMBITAS Radu Tiberiu, Ph.D., tradu@math.ubbcluj.ro
Asist. SOMOGYI Ildiko Mihaela, ilkovacs@math.ubbcluj.ro
Assoc.Prof. 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.
2. Finite and divided differences.
3. Functions approximation. Interpolation. Uniform approximation. Linear and positive operators.
4. Approximation of linear functionals. Numerical derivatives. Numerical cuadratures.
5. 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.
6. Example of solving practical problems from Physics, Biology, Chemistry by means of numerical analysis.	
Bibliography	
1. COMAN,GH., CHIOREAN,I.,CATINAS,T., Advance Course on Numerical Analysis, Presa Universitara clujeana, Cluj-Napoca, 2007
2. CHIOREAN,I., Numerical Methods in Abstract Spaces, Presa Universitara Clujeana, Cluj-Napoca, 2008
3. COMAN,GH.: Analiza numerica, Ed. Libris, Cluj-Napoca, 1995.
4. STANCU,D.D.: Analiza numerica, curs si culegere de probleme, Univ. Babes-Bolyai Cluj-Napoca, 1977 (lito).
5. 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
6. BLAGA,PETRU - COMAN,GHEORGHE, TRAMBITAS,RADU - VASARU,DANIELA- POP,SORIN: Analiza numerica, lucrari de laborator, Univ. Babes-Bolyai Cluj-Napoca, 1995 (lito).
7. 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.