MAT355E

Topology

2020-2021 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, T0, T1 and Hausdorff (T2), 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 in-term assesments, are not admitted to the final exam and get VF.

Assesment Name*

Date

Content**

Quiz 1

March 19

1-11

Quiz 2

April 9

12-28

MidTerm Exam

April 30

1-35

Quiz 3

May 28

35-49

Final

TBA

29-60

*: We will use ayva.itu.edu.tr for these assesments

**: The page numbers refer to Lecture Notes available here