Subject: Advanced Mathematical Analysis	Code: MO009	

Semester	 Hours: C+S+L	Type	 Section	
7	2+2+0	optional	Mathematics	
7	2+2+0	optional	Mathematics-Computer Science	

Teaching Staff in Charge	Lect. FINTA Zoltan, Ph.D., fzoltan@math.ubbcluj.ro	
Aims	Presentation of the main complementary notions and results in Mathematical Analysis	
Content	1.Inequalities.
 2. Sequences. Generalizations of the notion of limit.
 3. Limits of functions. Generalizations of the notion of limit of a function.
 4. Continuous functions. Generalizations of the notion of continuity. Special classes of continuous functions.
 5. Generalization of the notion of derivativ. Generalizations of the mean theorems of the differential calculus. 
 6. Integrable functions. Generalization of the notion of the integral. The role of the systems of intermediary points in the definition of the integral	
Selective References	1. Siretchi Gh.: Functii cu proprietatea Darboux, Universitatea din Bucuresti, 
   Bucuresti, 1986.
2. Leader S.: The Kurzweil-Henstock integral and its differentials: a unified theory of   
   integration on R and R^n, Marcel Dekker, Inc., Basel, 2001.
3. Precupanu A.: Analiza matematica (Functii reale), Editura Didactica si Pedagogica,
   Bucuresti, 1976.
4. Balazs M. - Kolumban J.: Matematikai Analizis, Dacia Konyvkiado, Koloszvar, 1978.
5. Szokefalvi-Nagy B.: Valos fuggvenyek es fuggvenysorok, Tankonyvkiado, Budapest, 1977.
	
Assessment	Exam