1. SECOND CYCLE - MASTER'S DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  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 563ALGEBRAIC TOPOLOGY II3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective Learns Cohomology, Eilenberg-Steenrod Axioms for Cohomology, Universal Coefficient Theorem.
Course Content Cohomology, Eilenberg-Steenrod Axioms for Cohomology, Universal Coefficient Theorem, Cup and Cap  Pruduct, Homology Algebra, Steenrod Square Operators, Steenrod Algebra, Gysin Sequences.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.

COURSE LEARNING OUTCOMES
1Learns Cohomology, Eilenberg-Steenrod Axioms for Cohomology, Universal Coefficient Theorem.
2Learns Cup and Cap Pruduct, Homology Algebra, Steenrod Square Operators, Steenrod Algebra, Gysin Sequences.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001  5 55  
LO 002 4 4    
Sub Total 45455  
Contribution02323300

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
Final examination13535
Midterm11515
Total Work Load

ECTS Credit of the Course





195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2016-2017 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 563 ALGEBRAIC TOPOLOGY II 3 + 0 1 Turkish 2016-2017 Spring Face to Face
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Asts. Prof. Dr. GÜLSELİ BURAK germez@pau.edu.tr FEN A0391 %70
Goals Learns Cohomology, Eilenberg-Steenrod Axioms for Cohomology, Universal Coefficient Theorem.
Content Cohomology, Eilenberg-Steenrod Axioms for Cohomology, Universal Coefficient Theorem, Cup and Cap  Pruduct, Homology Algebra, Steenrod Square Operators, Steenrod Algebra, Gysin Sequences.
Topics
WeeksTopics
1 Cohomology
2 Cohomology
3 Eilenberg-Steenrod Axioms for Cohomology
4 Eilenberg-Steenrod Axioms for Cohomology
5 Universal Coefficient Theorem
6 Universal Coefficient Theorem
7 Cup and Cap Product
8 Midterm Exam
9 Homology Algebra
10 Steenrod Square Operators
11 Steenrod Square Operators
12 Steenrod Algebra
13 Steenrod Algebra
14 Gysin Sequences
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