"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Advanced Mathematical Analysis
Code
Semes-
ter
Hours: C+S+L
Type
Section
MO009
7
2+2+0
optional
Matematica
MO009
7
2+2+0
optional
Matematică-Informatică
Teaching Staff in Charge
Lect. FINTA Zoltan, Ph.D.,  fzoltanmath.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.
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.
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject