MMA1021 | Methodical Aspects in Elementary Analysis I |
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 |