MMA1023 | Methodical Aspects in Elementary Analysis II |
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 |