Academic Catalog

MATH319 LEBESGUE INTEGRAL

Course Code:	2360319
METU Credit (Theoretical-Laboratory hours/week):	3(3-0)
ECTS Credit:	6.0
Department:	Mathematics
Language of Instruction:	English
Level of Study:	Undergraduate
Course Coordinator:	Assoc.Prof.Dr. KOSTYANTYN ZHELTUKHIN
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360252 Set 2: 2360214
One of the sets above should be completed before taking MATH319 LEBESGUE INTEGRAL.

Course Content

Review of Riemann integration. Sets of (Lebesgue) measure zero in Rn and charac-terization of Riemann integrable functions. Lebesgue integrable functions and the Lebesgue integral in Rn. Convergence theorems. theorems of Lusin and Egorov. Fubini`s theorem. Selected applications.