MU:MU03029 Seminar in Real Analysis I - Course Information
MU03029 Seminar in Real Analysis I
Mathematical Institute in OpavaWinter 2017
- Extent and Intensity
- 0/2/0. 4 credit(s). Type of Completion: z (credit).
- Teacher(s)
- doc. RNDr. Michaela Mlíchová, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Marta Štefánková, Ph.D.
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives
- The scope and content of the seminar is above all curriculum of the course of Real Analysis I. The course serves for the practical exercises and the deepening of student knowledge. Emphasis is placed on autonomous student work.
- Syllabus
- 1. Measures
- Definitions and basic properties
- Outer measure
- Carathéodory's theorem
- Hausdorff measure
- Lebesgue-Stieltjes measure
2. Measurable functions
- Definitions and basic properties
- Approximation of measurable function by simple measurable functions
- Sequences of measurable functions
3. Integration
- Definitions and basic properties
- Limit properties of integrals
- Lebesgue and Lebesgue-Stieljes integral
- 1. Measures
- Literature
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- Active participation in tutorials and handover of solved homework.
- Enrolment Statistics (Winter 2017, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2017/MU03029