The aim of this course is to create a background to understand the articles related this area and
to do research on this subject.
Prerequisite(s)
None
Corequisite(s)
None
Special Requisite(s)
None
Instructor(s)
Assoc. Prof. Ayten KOÇ
Course Assistant(s)
None
Schedule
will be announced later.
Office Hour(s)
3-A-01
Teaching Methods and Techniques
Lecture, discussion, homework.
Principle Sources
-T.W.Hungerford, Algebra, 1973.
-T.Y. Lam, Lectures on Modules and Rings, Springer, 1999.
Other Sources
-N.Jacobson, Basic Algebra, I,II, Freeman, 1980.
Course Schedules
Week
Contents
Learning Methods
1. Week
Fundamental Concepts
Oral and written presentation
2. Week
Fundamental Concepts
Oral and written presentation
3. Week
Homomorphisms and Exact Sequences
Oral and written presentation
4. Week
Homomorphisms and Exact Sequences
Oral and written presentation
5. Week
Free Modules and Vector Spaces
Oral and written presentation
6. Week
Midterm Examination
Written
7. Week
Free Modules and Vector Spaces
Oral and written presentation
8. Week
Projective and Injective Modules
Oral and written presentation
9. Week
Projective and Injective Modules
Oral and written presentation
10. Week
Midterm Examination
Written
11. Week
Modules over a Principal Ideal Domains
Oral and written presentation
12. Week
Modules over a Principal Ideal Domains
Oral and written presentation
13. Week
Midterm Examination
Written
14. Week
Modules over a Principal Ideal Domains
Oral and written presentation
15. Week
Final Examination
Written
16. Week
Final Examination
Written
17. Week
Final Examination
Written
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
3
60
Homework / Term Projects / Presentations
2
10
Final Exam
1
30
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 the basic concepts of modules.
LO-2
Have some knowledge of homomorphisms and exact sequences.
LO-3
Know the basic properties of Free modules and vector spaces.
LO-4
Have some knowledge of Projective and Injective Modules.
LO-5
Know some properties of Modules over Principal Ideal Domains and use them
