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

Code	Subject	
MMA1023	Methodical Aspects in Elementary Analysis II	

Section	Semester	Hours: C+S+L	Category	Type	
Didactic Mathematics - in Hungarian	2	2+2+0	speciality	compulsory	

Teaching Staff in Charge	Assoc.Prof. FINTA Zoltan, Ph.D., fzoltan@math.ubbcluj.ro	
Aims	Getting to know the knowledges of integral calculus of real-valued functions 
of on real variable.	
Content	 1) The Riemann integral
 2) Special classes of functions
 3) Mean-value theorems for Riemann integral
 4) Discrete inequalities, integral inequalities
 5) Numerical integration
 6) Applications of Riemann integral
 7) Improper integrals
 8) Sequence of functions (1)
 9) Sequence of functions (2)
10) Competition problems
11) Competition problems
12) Competition problems
13) Competition problems
14) Competition problems
	
Bibliography	1) Balazs M. - Hathazi A.: Matematika, Erdelyi Tankonyvtanacs, Kolozsvar, 2006.
2) Balazs M.: Matematikai analizis, Erdelyi Tankonyvtanacs, Kolozsvar, 2006.
3) Craciun C.V.: Analiza matematica (Materiale pentru perfectionarea profesorilor de
   liceu), Universitatea din Bucuresti, Facultatea de Matematica, Bucuresti, 1992.
4) Craciun C.V.: Contraexemple in analiza matematica, Universitatea din Bucuresti, 
   Facultatea de Matematica, Bucuresti, 1989.
5) Craciun C.V.: Teoreme de medie in analiza matematica, Universitatea din Bucuresti, 
   Facultatea de Matematica, Bucuresti, 1986.
6) Gelbaum B.R.-Olmsted J.M.H.: Contraexemple in analiza, Editura Stiintifica, 
   Bucuresti, 1989.
7) Siretchi Gh.: Calculul diferential si integral, vol. I-II, Editura Stiintifica si 
   Enciclopedica, Bucuresti, 1985.
8) Siretchi Gh.: Calculul diferential, Universitatea din Bucuresti, Facultatea de 
   Matematica, Bucuresti, 1983.
9) Siretchi Gh.: Functii cu proprietatea Darboux, Universitatea din Bucuresti, 
   Facultatea de Matematica, Bucuresti, 1986.
10)Radulescu S.-Radulescu M.: Teoreme si probleme de analiza matematica, Editura 
   Didactica si Pedagogica, Bucuresti, 1982.
	
Assessment	Exam.