At the end of this course, the students will be able to understand the basic results of Groups,Sylow Subgroups,Abelian Groups,Category and Fuctor,Free Groups,Permutation Groups,Transitive and Primitive Groups,Regular Normal Subgroups and develop their knowledges about about this subjects
Prerequisite(s)
none
Corequisite(s)
none
Special Requisite(s)
none
Instructor(s)
Assoc. Prof. Neşe YELKENKAYA
Course Assistant(s)
No
Schedule
Look at the program
Office Hour(s)
Prof. Dr. Erhan GÜZEL - 3-A-07, Monday 10:00-11:00,
Teaching Methods and Techniques
Lecture, discussion.
Principle Sources
B. Baumslag , B. Chandler, Group Theory, Schaum’s Outline Series, McGraw-Hill Book Company, 1968
G. Birkhoff,S. Maclane, A Survey of modern Algebra, macmillian, New York,1965
J.F. Fraleigh, A First Course ,n Abstract Algebra, Addison-Wesley, London, 1970
I. N. Goldstein, Abstract Algebra, Prentice Hall, new York, 1973
Group Homomorphisms,Kernel and Izomorphism Theorems
Oral and written presentation
7. Week
Sylow Subgroups
Oral and written presentation
8. Week
Midterm
Written.
9. Week
Abelian Groups
Oral and written presentation
10. Week
Categories and Functors
Oral and written presentation
11. Week
Free Groups
Oral and written presentation
12. Week
Permutation Groups
Oral and written presentation
13. Week
Transitive and Primitive Groups
Oral and written presentation
14. Week
Regular Normal Subgroups
Oral and written presentation
15. Week
Research Problems
Oral and written presentation
16. Week
Final Exam Week
Written.
17. Week
Final Exam Week
Written.
Assessments
Evaluation tools
Quantity
Weight(%)
Homework / Term Projects / Presentations
2
40
Final Exam
1
60
Program Outcomes
PO-1
Have scientific research in mathematics and computer science in the level of theoretical and practical knowledge.
PO-2
On the basis of undergraduate level qualifications, develop and deepen the same or a different areas of information at the level of expertise, and analyze and interpret by using statistical methods
PO-3
Develop new strategic approaches for the solution of complex problems encountered in applications related to the field and unforeseen and take responsibility for the solution.
PO-4
Evaluate critically skills acquired in the field of information in the level of expertise and assess the learning guides.
PO-5
Transfer current developments in the field and their work to the groups inside and outside the area supporting with quantitative and qualitative datas as written, verbal and visual by a systematic way.
PO-6
Use information and communication technologies with computer software in advanced level.
PO-7
Develop efficient algorithms by modeling problems faced in the field and solve such problems by using actual programming languages.
PO-8
Respect to social, scientific, cultural and ethical values at the stages of data collection related to the field, interpretation, and implementation.
PO-9
To solve problems related to the field, establish functional interacts by using strategic decision making processes.
PO-10
Establish and discuss in written, oral and visual communication in an advanced level by using at least one foreign language.
Learning Outcomes
LO-1
Know theoretical properties of Groups
LO-2
Know the structure of Sylow Subgroups
LO-3
Have some knowledge about the relation between Group Theory and Category and Fuctor,Free Groups
LO-4
Know some information about Free Groups,Permutation Groups,Transitive and Primitive Groups
LO-5
Know theoretical properties of Regular Normal Subgroups