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
Semester
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.,  fzoltanmath.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)
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