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

Code	Subject	
MME1014	Topics in Applied Mathematics (for teachers education)	

Section	Semester	Hours: C+S+L	Category	Type	
Didactic Mathematics	3	2+2+1	speciality	compulsory	

Teaching Staff in Charge	Prof. TRIF Damian, Ph.D., dtrif@math.ubbcluj.ro
Assoc.Prof. SZENKOVITS Ferenc, Ph.D., fszenko@math.ubbcluj.ro	
Aims	The course aims to improve the capability to analyze the real world phenomena by mathematical modellind, to rigorously analyze models and to obtain the qualitative and quantitative information by  numerical calculus.	
Content	1. Modelling by differential and partial differential equations
2. Eficient methods for differential problems
3. Numerical methods in dynamical systems
4. Nonlinear phenomena
5. Inverse problems	
Bibliography	1.	Trif D.,  Metode numerice pentru ecuaţii diferenţiale şi sisteme dinamice, Casa de editură Transilvania Press, Cluj, 1997
2.	Gheorghiu C. I., Metode numerice pentru sisteme dinamice, Casa Cărţii de Stiinţă, Cluj-Napoca, 2004
3.	Byström J, Persson L.-E., Strömberg F., A basic course in applied mathematics, curs web, http://www.sm.luth.se/~johanb/applmath/indexen.htm
4.	Trif, D., Teme de matematică aplicată (pentru profesori), curs extins web.
5.	L. Debnath, Nonlinear partial differential equations, Birkhäuser, 1997
	
Assessment	Midterm exam (theory + matlab code) 30% 
Final written exam (theory) 60%