MAT355E
Topology
20202021 Spring Semester
Course Syllabus
Instructor: Ali Sait Demir
Textbook: J.R. Munkres, Topology, Second Edition, 2014,
Pearson.
WEEK 
TOPICS 

Functions and Relations, Metric
Spaces 

Metric Spaces 

Topological Spaces Basic Concepts of
Topology 

Topological Spaces Basic Concepts of
Topology 

Topological Spaces Basic Concepts of
Topology 

Subspace Topology, Product and
Quotient Spaces 

Limit, Interior and Boundary Points,
Notion of Convergence 

Limit, Interior and Boundary Points,
Notion of Convergence 

Continuous Functions and
Homeomorphisms 

Compact Spaces / Connected Spaces 

Compact Spaces / Connected Spaces 

Lindelöf, First and Second
Countable, and Separable Spaces 

Separation Axioms, T_{0}, T_{1}
and Hausdorff (T_{2}), Regular and Normal Spaces 

Urysohn’s and Tietze’s Theorems,
Metrization Theorems 
Grading Policy: 3 Quizzes (30 %) +1Project (10%)+ 1 MidTerm
Exam (30%)+ Final Exam (30%).
Students failing to
score at least 35% (i.e. 24.5 out of 70) from the interm assesments, are not
admitted to the final exam and get VF.
Assesment Name* 
Date 
Content** 
Quiz 1 
March 19 
111 
Quiz 2 
April 9 
1228 
MidTerm Exam 
April 30 
135 
Quiz 3 
May 28 
3549 
Final 
TBA 
2960 
*: We
will use ayva.itu.edu.tr for these assesments
**:
The page numbers refer to Lecture Notes available here