Academic Catalog

MATH313 METRIC SPACES

Course Code:	2360313
METU Credit (Theoretical-Laboratory hours/week):	4(3-2)
ECTS Credit:	7,5
Department:	Mathematics
Language of Instruction:	English
Level of Study:	Undergraduate
Course Coordinator:
Offered Semester:	Fall and Spring Semesters.
Prerequisite:	Set 1: 2360214 Set 2: 2360252
One of the sets above should be completed before taking MATH313 METRIC SPACES .

Course Content

Metric Spaces. Compactness, connectedness, limits and continuity in metric spaces. Sequences and series in metric spaces, complete metric spaces, completion of a metric space. Sequences and series of functions, uniform convergence. Applications:contraction mappings theorem and its applications, Tietze extension theorem, Baire`s theorem.