Information Package / Course Catalogue
Metric Spaces
Course Code: MAT320
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 2
Prt.: 2
Credit: 3
Lab: 0
ECTS: 6
Objectives of the Course

The purpose of this course is to introduce students to the topics in the course content.

Course Content

Basic concepts, subspaces, bounded subsets, open balls, open and closed sets, equivalent metrics, normed spaces, continuity, sequences, complete metric spaces, compactness, connectedness.

Name of Lecturer(s)
Prof. Adnan MELEKOĞLU
Learning Outcomes
1.Ability to determine open and closed sets in metric spaces
2.Ability to determine the diameter of a bounded set and the distance between two sets in a metric space
3.Ability to explain the concepts of isometry and continuity
4.Ability to form convergent and divergent sequences in a metric space
5.Ability to form compact subspaces of a metric spaces
Recommended or Required Reading
1.M. Koçak, Introduction to General Topology and Solved Problems, Nisan Publ., 2020.
2.M. O Searcoid, Metric Spaces, Springer, 2007.
Weekly Detailed Course Contents
Week 1 - Theoretical & Practice
Basic concepts
Week 2 - Theoretical & Practice
Subspaces
Week 3 - Theoretical & Practice
Bounded subsets
Week 4 - Theoretical & Practice
Open balls
Week 5 - Theoretical & Practice
Open and closed sets
Week 6 - Theoretical & Practice
Equivalent metrics
Week 7 - Theoretical & Practice
Continuity
Week 8 - Theoretical & Practice
Isometries (Midterm Exam)
Week 9 - Theoretical & Practice
Normed spaces
Week 10 - Theoretical & Practice
Sequences
Week 11 - Theoretical & Practice
Cauchy sequences
Week 12 - Theoretical & Practice
Complete metric spaces
Week 13 - Theoretical & Practice
Compactness
Week 14 - Theoretical & Practice
Connectedness
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140228
Lecture - Practice140228
Individual Work140456
Midterm Examination116218
Final Examination118220
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
PÇ-16
PÇ-17
PÇ-18
OÇ-1
2
3
3
2
OÇ-2
2
3
3
2
OÇ-3
2
3
3
2
OÇ-4
2
3
3
2
OÇ-5
2
3
3
2
Adnan Menderes University - Information Package / Course Catalogue
2026