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

Code	Subject	
MMN0003	Numerical Calculus	

Section	Sem.	Hours: C+S+L	Category	Type	
Computer Science	6	2+0+2	speciality	compulsory	

Teaching Staff in Charge	Assoc.Prof. TRÎMBITAS Radu Tiberiu, Ph.D., tradu@math.ubbcluj.ro
Lect. CATINAS Teodora Maria, Ph.D., tcatinas@math.ubbcluj.ro
Asist. SOMOGYI Ildiko Mihaela, ilkovacs@math.ubbcluj.ro	
Aims	Basic course in numerical analysis. Oriented to numerical algorithms and implementation of numerical software	
Content	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. 	
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.	
Assessment	all time semester verification. Final score is (final test score + laboratory score)/2.