MU18023 Real Analysis I

Mathematical Institute in Opava
Winter 2021
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michaela Mlíchová, Ph.D. (lecturer)
RNDr. Lenka Rucká, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Michaela Mlíchová, Ph.D.
Mathematical Institute in Opava
Timetable
Mon 11:25–13:00 R2
  • Timetable of Seminar Groups:
MU18023/01: Tue 8:05–9:40 R2, L. Rucká
Prerequisites (in Czech)
TYP_STUDIA(N)
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.
Syllabus
  • 1. Borel sets and sets of first and second category, Baire category theorem
    2. Continuous functions
    3. Measure
    4. Integral
Literature
    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
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 2020, Winter 2022, Winter 2023, Winter 2024.
  • Enrolment Statistics (Winter 2021, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2021/MU18023