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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 571INTRODUCTION TO TOPOLOGY3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of this lesson is to study the topologic structures and properties.
Course Content Topological Structure and Open Sets at Topological Space, Closed Set in Topological Space and Properties of Closed Sets Family, Comparative of Topologies and Topological Base, Neighbourhood of a Point at Topological Space and Properties of Neighbourhoods Family, Interior of a Set and Interior Point in Topological Space, Accumulation Points of a Set in Topological Space, Continuity and Homeomorphism in Topological Space, Hausdorff Topological Space, Convergence of Sequence in Hausdorff Topological Space, Topological Subspace and Open and Closed Subsets in Topological Subspace, Closure, Interior, Accumulation Points and Boundry of Sets in Topological Subspace, Continuity of Functions in Topological Subspace.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns the Topological Structure and Open Sets at Topological Space.
2Knows the Closed Set in Topological Space and Properties of Closed Sets Family.
3Learns Comparative of Topologies and Topological Base.
4Knows Neighbourhood of a Point at Topological Space and Properties of Neighbourhoods Family.
5Learns Interior of a Set and Interior Point in Topological Space, Accumulation Points of a Set in Topological Space, Continuity and Homeomorphism in Topological Space, Hausdorff Topological Space, Convergence of Sequence in Hausdorff Topological Space.
6Knows Topological Subspace and Open and Closed Subsets in Topological Subspace, Closure, Interior, Accumulation Points and Boundry of Sets in Topological Subspace, Continuity of Functions in Topological Subspace.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 54    
LO 0024  54   
LO 003  544   
LO 0045 4     
LO 0054 45 5  
LO 0065 5 44  
Sub Total23 2318129  
Contribution40432200

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2022-2023 Spring1ALİ AYTEKİN
Details 2020-2021 Spring1ALİ AYTEKİN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 571 INTRODUCTION TO TOPOLOGY 3 + 0 1 Turkish 2022-2023 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Assoc. Prof. Dr. ALİ AYTEKİN aaytekin@pau.edu.tr FEN A0311 %
Goals The aim of this lesson is to study the topologic structures and properties.
Content Topological Structure and Open Sets at Topological Space, Closed Set in Topological Space and Properties of Closed Sets Family, Comparative of Topologies and Topological Base, Neighbourhood of a Point at Topological Space and Properties of Neighbourhoods Family, Interior of a Set and Interior Point in Topological Space, Accumulation Points of a Set in Topological Space, Continuity and Homeomorphism in Topological Space, Hausdorff Topological Space, Convergence of Sequence in Hausdorff Topological Space, Topological Subspace and Open and Closed Subsets in Topological Subspace, Closure, Interior, Accumulation Points and Boundry of Sets in Topological Subspace, Continuity of Functions in Topological Subspace.
Topics
Materials
Materials are not specified.
Resources
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