"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Numerical analysis (1)
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MC001
5
2+2+2
6
compulsory
Matematică
MC001
5
2+1+2
6
compulsory
Informatică
MC001
5
2+2+2
5
compulsory
Matematică-Informatică
MC001
5
2+2+2
6
compulsory
Matematica Economica
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
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.
References
1. Gh. Coman, Analiza numerica, Ed. Libris, Cluj-Napoca, 1995.
2. D.D. Stancu, Analiza numerica, curs si culegere de probleme, Univ. Babes-Bolyai Cluj-Napoca, 1977 (lito).
3. (D.D. Stancu, Gh. Coman - coord)O. Agratini, P. Blaga, I.Chiorean, Gh.Coman, D. D. Stancu, R.Trambitas,Analiza numerica si teoria aproximarii(vol.I,II,III), Presa Univ.Clujeana, 2002
4. P. Blaga, Gh. Coman, R. Trambitas, D. Vasaru, S. Pop, Analiza numerica, lucrari de laborator, Univ. Babes-Bolyai Cluj-Napoca, 1995 (lito).
5. A.O. Gelfand, Calculul cu diferente finite, Ed. Tehnica Bucuresti 1956.
6. B.P. Demidovici, A. Maron, 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.