Universitatea Babeş-Bolyai Cluj-Napoca
Facultatea de Matematică şi Informatică
Ciclul de studii: Licenţă
Domeniul: Calculatoare şi tehnologia informaţiei
Programul de studii: Ingineria informatiei - in limba engleza
Limba de predare: Engleză

SYLLABUS

I. General data
Code	Subject	
MMP0008	Numerical Methods	

Semester	Hours: C+S+L+P	Category	Status	
2	2+0+2+0	fundamental	compulsory	

II. Full status faculty members
Name and	Scientific	Didactic	Chair	Type of activity	
surname	title	title		C	S	L	
CATINAS Teodora Maria	Ph.D.	Lect.	Applied Mathematics	*			

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 and Floating-Point Arithmetic. 
2. Numerical solution of linear systems. Direct methods: GEPP, LUP decomposition, Cholesky and QR decomposition. Stationary iterative methods: Jacobi, Gauss-Seidel, SOR
3. Function Approximation: least squares approximation, polynomial and spline interpolation.
4. Linear functional approximation: numrical differentiation and integration. Newton-Cotes and Gauss quadrature formulas.
5. Nonlinear equations. Equations in R: successive approximation, Newto@s, secant method. Nonlinear systems: Newton@s and Broyden@s method
6. Differential equations. Runge-Kutta Methods. 

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. R. TRIMBITAS - Analiza numerica. O introducere bazata pe MATLAB. Presa Universitara Clujeana 2005.
6. R. TRIMBITAS - Numerical Analysis.  Presa Universitara Clujeana 2006.
7. R. TRIMBITAS - Numerical Analysis in MATLAB.  Presa Universitara Clujeana 2009.	

VI. Thematic of didactic activities per weeks

VII. Didactic methods used

VIII. Assessment
The score is computed as (score of final test+score for laboratory)/2	

IX. Additional references

	Dean,							Chair head,

	Date,							Course responsible,
								Lect. CATINAS Teodora Maria, Ph.D.