MU20002 Mathematical Analysis II

Mathematical Institute in Opava
Summer 2021
Extent and Intensity
3/4/0. 7 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Málek, Ph.D. (lecturer)
Mgr. Pavel Holba (seminar tutor)
Guaranteed by
doc. RNDr. Michal Málek, Ph.D.
Mathematical Institute in Opava
Timetable
Wed 9:45–12:10 R1
  • Timetable of Seminar Groups:
MU20002/01: Tue 14:45–16:20 R1, Thu 9:45–11:20 R1, P. Holba
Prerequisites (in Czech)
MU20001 Mathematical Analysis I && TYP_STUDIA ( B )
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The focus of the course "Mathematical Analysis II" are integral of real functions of one real variable and infinite series.
Syllabus
  • 1. Antiderivatives and integrals
    2. The definite integral
    3. Improper integrals
    4. Infinite series
    5. Sequences and series of functions
Literature
    required literature
  • Š. Hošková, J. Kuben, P. Račková. Integrální počet funkcí jedné proměnné. VŠB-TU Ostrava, 2006. info
  • Z. Došlá, J. Kuben. Nekonečné řady. Brno, 2002. info
    recommended literature
  • L. Zajíček. Vybrané úlohy z matematické analýzy. Matfyzpress, Praha, 2000. info
  • A. P. Mattuck. Introduction to Analysis. Prentice Hall, New Jersey, 1999. info
  • S. I. Grossmann. Calculus. Academic Press, 1977. info
  • V. Jarník. Diferenciální počet II. Praha, 1976. info
  • V. Jarník. Integrální počet I. Praha, 1963. info
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
Requirements for pre-exam credits are set out by the tutorial lecturer.
The examination consists of a written and an oral part.

  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2021/MU20002