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, Compulsoryoptional 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Course availability  The course is available to visiting students 
Lecturer(s) 


Course content 
1. Integration  relations between Riemann and Lebesgue integral  relation between measurability, integrability and continuity  HenstockKurzweil integral 2. Differentiation  Dini derivates  Continuity and differentiability  Differentiation of monotone functions  Points of discontinuity  The BanachMazurkiewicz theorem 3. Functions of bounded variation and absolutely continuous functions

Learning activities and teaching methods 
unspecified 
Recommended literature 

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 (2F)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Mathematics (1IVT)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Mathematical Analysis (1IVT)  Mathematics courses  4  Summer 