To teach the basics and application areas of Graph Theory
Prerequisite(s)
Course Code Course Name…
Corequisite(s)
Course Code Course Name…
Special Requisite(s)
The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s)
Assist. Prof. Dr. Nurşah Mutlu Varlıoğlu
Course Assistant(s)
Schedule
Monday 11:00-12:50, 1st Floor C Cor. Classrooms 4-6,
Friday 09:00-10:50, 3rd Floor C Cor. Classrooms 8-10
- Douglas B. West, Introduction to Graph Theory, Prentice Hall, 2001
2. - Kenneth H. Rosen, Ayrık Matematik ve Uygulamaları, 7. Baskıdan Çeviri, Prof. Dr. Ömer Akın, Prof. Dr. Murat Özbayoğlu, Palme Yayıncılık Ankara, 2015
Other Sources
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Course Schedules
Week
Contents
Learning Methods
1. Week
Basic definitions and notations about graph theory
Oral and written expression
2. Week
Some special graphs
Oral and written expression
3. Week
Isomorphic graphs and graph operations
Oral and written expression
4. Week
Isomorphic graphs and graph operations
Oral and written expression
5. Week
Euler graphs
Oral and written expression
6. Week
Hamiltonian graphs
Oral and written expression
7. Week
Problems with graph theory
Oral and written expression
8. Week
Midterm Exam
9. Week
Matrix representations of graphs
Oral and written expression
10. Week
Matrix representations of graphs
Oral and written expression
11. Week
Trees
Oral and written expression
12. Week
Trees
Oral and written expression
13. Week
Planar graphs
Oral and written expression
14. Week
Planar graphs
Oral and written expression
15. Week
Final exams
16. Week
Final exam
17. Week
Final exam
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO-1
Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2
Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3
Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4
Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5
Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6
Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7
Using time effectively in inventing solutions by implementing analytical thinking.
PO-8
Understanding professional ethics and responsibilities.
PO-9
Having the ability to behave independently, to take initiative, and to be creative.
PO-10
Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11
Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1
Knows the Graph Concept
LO-2
Has the necessary knowledge about Euler and Hamilton Graphs