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.,  fzoltanmath.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
References
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.
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject