1. SECOND CYCLE - MASTER'S DEGREE
  2. INSTITUTE OF SCIENCE
  3. MATHEMATICS DEPARTMENT
  4. 1441 Mathematics
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 636TOPOLOGICAL AND METRIC SPACES3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective To teach the students the importance of topological extensions by giving them the basic concepts of topological and metric spaces. To enable students to have systematic approaches in defining and solving problems.
Course Content Metric spaces, topological spaces, first countable spaces, second countable spaces, separable spaces, Lindelöf spaces, Kolmogarov spaces, Frechet spaces, Hausdorff spaces, full Hausdorff spaces, regular spaces, Tychonoff spaces, Normal Hausdorff spaces, full normal Hausdorff spaces
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.

COURSE LEARNING OUTCOMES

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
 Select Year   


 Course TermNoInstructors
Details 2025-2026 Spring1GÜLSELİ BURAK
Details 2024-2025 Spring1GÜLSELİ BURAK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester Mode of Delivery
MAT 636 TOPOLOGICAL AND METRIC SPACES 3 + 0 1 Turkish 2025-2026 Spring Face to Face
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Asts. Prof. Dr. GÜLSELİ BURAK germez@pau.edu.tr FEN A0105 %
Goals To teach the students the importance of topological extensions by giving them the basic concepts of topological and metric spaces. To enable students to have systematic approaches in defining and solving problems.
Content Metric spaces, topological spaces, first countable spaces, second countable spaces, separable spaces, Lindelöf spaces, Kolmogarov spaces, Frechet spaces, Hausdorff spaces, full Hausdorff spaces, regular spaces, Tychonoff spaces, Normal Hausdorff spaces, full normal Hausdorff spaces
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