Information Package / Course Catalogue
Topology I
Course Code: MAT325
Course Type: Required
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

Topological spaces, subspaces, open and closed sets, bases, metric topology, closure, interior, boundary, continuity, separation axioms.

Name of Lecturer(s)
Prof. Adnan MELEKOĞLU
Learning Outcomes
1.Ability to determine the open and closed sets in topological spaces
2.Ability to determine the topology by means of a base
3.Ability to determine the closure, the interior and the boundary of a set
4.Ability to determine the topology generated by a metric
5.Ability to define continuous and discontinuous functions between topological spaces
Recommended or Required Reading
1.M. Koçak, Introduction to General Topology and Solved Problems, Nisan Publ., 2020.
2.J. R. Munkres, Topology, Prentice Hall, 2000.
Weekly Detailed Course Contents
Week 1 - Theoretical & Practice
Basic concepts
Week 2 - Theoretical & Practice
Subspaces of topological spaces
Week 3 - Theoretical & Practice
Open and closed sets in topological spaces
Week 4 - Theoretical & Practice
Bases
Week 5 - Theoretical & Practice
Closure, interior and boundary
Week 6 - Theoretical & Practice
Metric spaces
Week 7 - Theoretical & Practice
Open and closed sets in metric spaces
Week 8 - Theoretical & Practice
Metric topology (Midterm Exam)
Week 9 - Theoretical & Practice
Continuity in topological spaces
Week 10 - Theoretical & Practice
Open and closed functions
Week 11 - Theoretical & Practice
Homeomorphisms
Week 12 - Theoretical & Practice
T0, T1 and Hausdorff spaces
Week 13 - Theoretical & Practice
Regular and normal spaces
Week 14 - Theoretical & Practice
Completely regular spaces
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