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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 204GENERAL TOPOLOGY - II2 + 24th Semester5

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective The aim of this course is to give some classifications of the topological spaces.
Course Content Product Spaces, Quotient Spaces, Countable Spaces, Separation Axioms, Compact Spaces, Connected Spaces.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Classifies the topological spaces.
2Defines the product and quotient topological spaces and observes the properties of these spaces.
3Defines the countable topological space, proves the fundemental theorem and compares the countable spaces.
4Defines the seperation axioms for topological spaces, analyzes and compares.
5Defines the concept of compactness, examines and proves the fundemental theorems.
6Compares the compactness in classical analysis and topological spaces.
7Proves the theorems about the countable compactness, sequental compactnes and local compactness.
8Defines the connected spaces and proves the related fundemental theorems.
9Enhances the ability of abstract thinking and improves the culture of mathematics.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001 43    44 
LO 002 3     44 
LO 003 33    44 
LO 004 33    55 
LO 005 34    44 
LO 006     5 4  
LO 007 33    44 
LO 008 43    44 
LO 009  4    5  
Sub Total 2323  5 3829 
Contribution0330010430

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14456
Mid-terms14040
Final examination13434
Total Work Load

ECTS Credit of the Course






130

5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1ALİ AYTEKİN
Details 2022-2023 Spring1ALİ AYTEKİN
Details 2021-2022 Spring1GÜLSELİ BURAK
Details 2020-2021 Spring1GÜLSELİ BURAK
Details 2019-2020 Spring1GÜLSELİ BURAK
Details 2018-2019 Spring1GÜLSELİ BURAK
Details 2017-2018 Spring2GÜLSELİ BURAK
Details 2016-2017 Spring2GÜLSELİ BURAK
Details 2015-2016 Spring2GÜLSELİ BURAK
Details 2014-2015 Spring2ÖZLEM GİRGİN ATLIHAN
Details 2013-2014 Spring2İSMAİL YASLAN
Details 2012-2013 Spring2İSMAİL YASLAN
Details 2011-2012 Spring2İSMAİL YASLAN
Details 2010-2011 Spring2İSMAİL YASLAN
Details 2009-2010 Spring2ŞEVKET CİVELEK
Details 2008-2009 Spring1İSMAİL YASLAN
Details 2007-2008 Spring1İSMAİL YASLAN
Details 2006-2007 Spring1İSMAİL YASLAN
Details 2005-2006 Spring1İSMAİL YASLAN
Details 2004-2005 Spring1İSMAİL YASLAN
Details 2003-2004 Spring1ŞEVKET CİVELEK
Details 2002-2003 Spring1MEHMET TEKKOYUN
Details 2001-2002 Spring1ŞEVKET CİVELEK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 204 GENERAL TOPOLOGY - II 2 + 2 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Assoc. Prof. Dr. ALİ AYTEKİN aaytekin@pau.edu.tr FEN A0315 %70
Goals The aim of this course is to give some classifications of the topological spaces.
Content Product Spaces, Quotient Spaces, Countable Spaces, Separation Axioms, Compact Spaces, Connected Spaces.
Topics
WeeksTopics
1 Product Spaces
2 Cartesian Product of a Family of Topological Spaces
3 Quotient Spaces
4 First Countable Space, Second Countable Space
5 Lindelöf Spaces, Seperable Spaces
6 T0- spaces, T1- spaces
7 T2- spaces, T3- spaces
8 T4- Spaces, Completely Regular Spaces
9 Midterm Exam
10 Compact Spaces
11 Compact Spaces, Local Compact Space
12 Countable Compact Space, Sequentially Compact Space
13 Connected Space
14 Connected Space
Materials
Materials are not specified.
Resources
ResourcesResources Language
Topoloji ve Kategori, Prof. Dr. Osman MUCUKTürkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes