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

Code	Subject	
MMA1021	Methodical Aspects in Elementary Analysis I	

Section	Sem.	Hours: C+S+L	Category	Type	
Didactic Mathematics - in Hungarian	1	2+1+0	speciality	compulsory	

Teaching Staff in Charge	Assoc.Prof. FINTA Zoltan, Ph.D., fzoltan@math.ubbcluj.ro	
Aims	Getting to know some knowledges of differential calculus of real-valued functions  
of on real variable.	
Content	 1) On some properties of real numbers
 2) Sequences of real numbers
 3) Number series
 4) Countable and uncountable sets
 5) Limite of functions. Continuous functions
 6) Uniform continuous functions
 7) On some properties of differentiable functions 
 8) The basic theorems of differential calculus (1)
 9) The basic theorems of differential calculus (2)
10) Convex functions (1)
11) Convex functions (2)
12) Solving algebraic equations by analysis methods
13) Darboux functions (1)
14) Darboux functions (2)
	
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.