MATP39 Specialised Course in Integration Theory, 7.5 credits, is an alternative-compulsory course for a Master of Science degree in mathematics. The course was given with the course code MATP39 for the first time in the spring semester of 2021. The previous course code is MATM29. The course is given at half study pace in the second half of the spring semester. The course can be taken as stand-alone course. The language of instruction is English.

Course Content
The material continues the development from the course MATM39 Integration Theory and covers the part sometimes called ''differentiation''. More precisely, it begins with Jordan and Hahn decompositions for signed measures, the Radon-Nykodim theorem and the Lebesgue decomposition, singular Lebesgue-Stieltjes measures and absolutely continuous functions and then the course turns the differentiation of functions and measures, the Hardy-Littlewood maximal function and the Hardy-Littlewood theorem about the maximal functions of "L^p" functions.

Teaching
The teaching consists of lectures and seminars.

Assessment
The examination consists of oral presentations of solutions of problems or proofs of relevant results during the course and a problem-solving project at the end of the course.

Course Literature

Donald L. Cohn, Measure Theory, 2nd ed, 2013, ISBN: 978-1-4614-6955-1.

Official Course Description

Course Evaluation
Link to course evaluations on the department's website:

Course Evaluations, Mathematics at Faculty of Science