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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 562ALGEBRAIC TOPOLOGY I3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective Learns Categories and Functors, Path Homotopy, Mapping Homotopy, Fundamental Groups, Homotopy Groups with High Dimension.
Course Content Categories and Functors, Path Homotopy, Mapping Homotopy, Fundamental Groups, Homotopy Groups with High Dimension, Complex Homology, Chain Homotopy, Simplexes, Singular Complex, Singular Homology, Excision Theorem, Mayer-Vietoris Sequences, Eilenberg-Steenrod Axioms for Homology Theory, Universal Coefficient Theorem, Künneth Formula.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns Categories and Functors, Path Homotopy, Mapping Homotopy, Fundamental Groups, Homotopy Groups with High Dimension.
2Learns Complex Homology, Chain Homotopy, Simplexes, Singular Complex, Singular Homology, Excision Theorem, Mayer-Vietoris Sequences, Eilenberg-Steenrod Axioms for Homology Theory, Universal Coefficient Theorem, Künneth Formula.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 4 4   
LO 0024 55    
Sub Total9 954   
Contribution50532000

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 Spring1GÜLSELİ BURAK
Details 2020-2021 Spring1GÜLSELİ BURAK
Details 2018-2019 Fall1GÜLSELİ BURAK
Details 2016-2017 Fall1GÜLSELİ BURAK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 562 ALGEBRAIC TOPOLOGY I 3 + 0 1 Turkish 2022-2023 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Asts. Prof. Dr. GÜLSELİ BURAK germez@pau.edu.tr FEN A0311 %70
Goals Learns Categories and Functors, Path Homotopy, Mapping Homotopy, Fundamental Groups, Homotopy Groups with High Dimension.
Content Categories and Functors, Path Homotopy, Mapping Homotopy, Fundamental Groups, Homotopy Groups with High Dimension, Complex Homology, Chain Homotopy, Simplexes, Singular Complex, Singular Homology, Excision Theorem, Mayer-Vietoris Sequences, Eilenberg-Steenrod Axioms for Homology Theory, Universal Coefficient Theorem, Künneth Formula.
Topics
WeeksTopics
1 Categories and Functors
2 Path Homotopy
3 Mapping Homotopy
4 Fundamental Groups
5 Homotopy Groups with High Dimension
6 Complex Homology
7 Chain Homotopy
8 Midterm Exam
9 Simplexes
10 Singular Complex
11 Singular Homology
12 Excision Theorem
13 Mayer-Vietoris Sequences
14 Eilenberg-Steenrod Axioms for Homology Theory
Materials
Materials are not specified.
Resources
ResourcesResources Language
A Basic Course in Algebraic Topology, W. S. MasseyEnglish
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