Universitatea Babeş-Bolyai Cluj-Napoca
Facultatea de Matematică şi Informatică
Ciclul de studii: Licenţă
Domeniul: Informatică
Programul de studii: Informatică - în limba engleză
Limba de predare: Engleză

SYLLABUS

I. General data
Code	Subject	
MMN0003	Numerical Calculus	

Semester	Hours: C+S+L	Category	Status	
6	2+0+2	speciality	compulsory	

II. Full status faculty members
Name and	Scientific	Didactic	Chair	Type of activity	
surname	title	title		C	S	L	
MICULA Sanda	Ph.D.	Lect.	Numerical and Statistical Calculus	*			

Associated faculty members
Name and	Scientific	Institution	Type of	Type of activity	
surname	title		position	C	S	L	

III. Course objectives
Basic course in numerical analysis.	

IV. Course contents
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.	

V. Bibliography
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.	

VI. Thematic of didactic activities per weeks

VII. Didactic methods used

VIII. 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.	

IX. Additional references

	Date,							Course responsible,
								Lect. MICULA Sanda, Ph.D.