MATH313 METRIC SPACES
| Course Code: | 2360313 |
| METU Credit (Theoretical-Laboratory hours/week): | 4 (3.00 - 2.00) |
| ECTS Credit: | 7.5 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
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.