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+P	Category	Status	
6	2+0+2+0	speciality	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. Oriented to numerical algorithms and implementation of numerical software	

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
all time semester verification. Final score is (final test score + laboratory score)/2.	

IX. Additional references

	Dean,							Chair head,

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