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
|
| The course set 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.
