MU18023 Real Analysis I

Mathematical Institute in Opava
Winter 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
doc. RNDr. Michaela Mlíchová, Ph.D. (lecturer)
Mgr. Vojtěch Pravec, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Michaela Mlíchová, Ph.D.
Mathematical Institute in Opava
Tue 8:05–9:40 118
  • Timetable of Seminar Groups:
MU18023/01: Thu 13:05–14:40 203, V. Pravec
Prerequisites (in Czech)
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 aim of this course is to present more advanced parts of real functions, e.g. generalized notions of continuity, measure and integral.
  • 1. Borel sets and sets of first and second category, Baire category theorem
    2. Continuous functions
    3. Measure
    4. Integral
    required literature
  • A. M. Bruckner, J. B. Bruckner, B. S. Thomson. Real Analysis. Upper Saddle River, New Jersey, 1997. ISBN 0-13-458886-X. info
    recommended literature
  • M. Švec, T. Šalát, T. Neubrunn. Matematická analýza funkcií reálnej premennej. Bratislava, 1987. info
  • V. Jarník. Integrální počet II. Praha, 1984. info
Language of instruction
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.

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