Course: Seminar in Real Analysis II

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Course title Seminar in Real Analysis II
Course code MU/03031
Organizational form of instruction Seminary
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory, Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • ŠTEFÁNKOVÁ Marta, doc. RNDr. Ph.D.
  • MLÍCHOVÁ Michaela, RNDr. Ph.D.
Course content
1. Integration - relations between Riemann and Lebesgue integral - relation between measurability, integrability and continuity - Henstock-Kurzweil integral 2. Differentiation - Dini derivates - Continuity and differentiability - Differentiation of monotone functions - Points of discontinuity - The Banach-Mazurkiewicz theorem 3. Functions of bounded variation and absolutely continuous functions

Learning activities and teaching methods
unspecified
Recommended literature
  • A. M. Bruckner, J. B. Bruckner, B. S. Thomson. Real Analysis. Upper Saddle River, New Jersey, 1997. ISBN 0-13-458886-X.
  • M. Švec, T. Šalát, T. Neubrunn. Matematická analýza funkcií reálnej premennej. Bratislava, 1987.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Mathematics (2-F) Mathematics courses 3 Summer
Mathematical Institute in Opava Mathematics (1-IVT) Mathematics courses 3 Summer
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 4 Summer