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: 2360272
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.