Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
7MATH441INTRODUCTION TO GEOMETRIC TOPOLOGY3+036

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program MATHEMATICS
Mode of Delivery Face to Face
Type of Course Unit Elective
Objectives of the Course To introduce basic notion of geometric topology to undergraduate students.
Course Content Manifolds, point-set topology, topological spaces
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Dr.Öğr.Üyesi Neslihan GUGUMCU
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources
Geometric topology
3 odev
2 ara, 1 final

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 2 % 80
Quizzes 0 % 0
Homeworks 3 % 10
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 10
Total
6
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 1 42 42
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 5 15 75
Exams and Exam Preparations 3 20 60
Total Work Load   Number of ECTS Credits 6 177

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To have fundemantal knowledge about the elementary notions of geometric topology.
2 To know modern tools and problems in mathematics
3 To have knowledge on fundamental topics in mathematics.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Review of point-set topology in Euclidean spaces Topology, a first course, James Munkres
2 Continous maps on topological spaces Topology, a first course, James Munkres
3 2-dimensional cell complexes Algebraic topology, Hatcher
4 Planar curves and their codes Various Publications
5 Whitney-Graustein Theorem publications
6 Chord diagrams publications
7 Knots On Knots, Louis Kauffman
8 knot invariants Knots and Physics, Louis Kauffman
9 Surfaces iNTRODUCTION TO KNOT THEORY, Lickorish
10 Triangulation of surfaces Algebraic topology, Hatcher
11 Surfaces via knots Knot theory, Charles Livingston
12 3-dimensioanal topological spaces Knots, Braids and 3-manifolds, Prasolov&Sossinsky
13 Fundamental group of a space Algebraic topology, Hatcher
14 Knot group The knot book, Colin Adams


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14
All 4 4 4 4 4 3 4 4 3 4 4 4 4
C1 4 4 4 4 4 4 4 3 4 4 4 4 4
C2 4 4 4 4 4 4 4 4 4 4 4 4 4
C3

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


https://obs.iyte.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=163340&lang=en