Admission requirements
none
Description
The aim of this course is to provide quick and practical introduction to abstract concepts of Lebesgue measure and integration. More advanced course on Measure Theory is offered in the third year.
Main subjects of this course are:
measurable sets and function
Lebesgue integral
Lp spaces
Holder and Minkowski's inequality
various modes of convergence
Mode of Instruction
Lectures (obligatory, 1 hour per week) + seminar (optional, 1 hour per week)
Assessment method
The final grade consists of homework (20%) and a written (retake) exam (80%). To pass the course, the grade for the (retake) exam should be at least 5 and the (unrounded) weighted average of the two partial grades at least 5.5. No minimum grade is required for the homework in order to take the exam or to pass the course. The homework counts as a practical and there is no retake for it.
Literature
- Lecture notes
- Donald L. Cohn, Measure Theory ISBN: 978-1-4614-6955-1 (Print) 978-1-4614-6956-8 (Online) (available as e-book via Leiden University Library).
Remarks
The course will use Brightspace.