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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 571INTRODUCTION TO TOPOLOGY3 + 02nd 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
Data not found.

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
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes