COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 562ALGEBRAIC TOPOLOGY I3 + 02nd Semester6

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
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Total Work Load

ECTS Credit of the Course






156

6

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