Information Package / Course Catalogue
Topology II
Course Code: MAT326
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: 5
Objectives of the Course

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

Course Content

Product spaces, quotient spaces, sequences in topological spaces, compactness, connectedness.

Name of Lecturer(s)
Learning Outcomes
1.Ability to obtain the product space of two topological spaces
2.Ability to determine the points that a sequence converges in a topological space
3.Ability to explain the concept of compactness and its relations with other topological concepts
4.Ability to explain the concept of connectedness and its relations with other topological concepts
5.Ability to explain the relations between continuity, compactness and connectedness
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
Product spaces
Week 2 - Theoretical
Finite products
Week 3 - Theoretical
Arbitrary products
Week 4 - Theoretical
Quotient spaces
Week 5 - Theoretical
Sequences in topological spaces
Week 6 - Theoretical
Continuity and sequential continuity
Week 7 - Theoretical
Compact topological spaces
Week 8 - Theoretical
Compact subspaces (Midterm Exam)
Week 9 - Theoretical
Compactness in product spaces
Week 10 - Theoretical
Continuity and compactness
Week 11 - Theoretical
Compactness in metric spaces
Week 12 - Theoretical
Connected topological spaces
Week 13 - Theoretical
Connected subspaces
Week 14 - Theoretical
Path connected 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 Work140342
Midterm Examination111213
Final Examination112214
TOTAL WORKLOAD (hours)125
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
1
3
3
3
3
3
1
2
4
3
OÇ-2
1
4
3
3
4
1
2
4
3
OÇ-3
1
3
4
3
3
4
1
2
4
3
OÇ-4
1
3
4
3
3
3
1
2
4
3
OÇ-5
1
3
4
3
3
3
1
2
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026