Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits

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 This course aims to teach fundamental notion about surfaces and surface classification.
Course Content Point-set topology, triangulation, surfaces, classification of surfaces.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Dr.Öğr.Üyesi NESLİHAN GÜGÜMCÜ
Assistants None
Work Placement(s) No

Recommended or Required Reading

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 % 50
Quizzes 0 % 0
Homeworks 5 % 10
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 40
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 3 14 42
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 5 14 70
Exams and Exam Preparations 6 12 72
Total Work Load   Number of ECTS Credits 6 184

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
Veri yok

Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Open, closed sets Neighborhoods continuity
2 Compact sets, connected sets, Separation axioms
3 Product spaces Quotient spaces
4 Complexes
5 Surfaces
6 Triangulation
7 Classification of surfaces
8 Surfaces with boundary
9 Graphs and trees
10 Polynomial invariants of graphs
11 The Euler characteristic of S^2
12 Euler characteristic of surfaces
13 An application of Euler characteristic: Map coloring map
14 Discussion of topics

Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14

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