Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
IMO3072013331INTRODUCTION TO ALGEBRACompulsory355
Level of Course Unit
First Cycle
Objectives of the Course
To teach algebraic structures and to have ability of solving problems related to the theories of these structures.
Name of Lecturer(s)
Doç. Dr. Cemal BELEN
Learning Outcomes
1Explains the basic concepts related to algebraic structures.
2Recognizes and distinguishes the algebraic structures.
3Determines what kind of create an algebraic structure of a mathematical set.
4Explains the relationships between the algebraic structures.
5Solves problems related to algebraic structures.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Binary Operations, Group Concept, Subgroups, Remaining Classes, Permutation Groups, Cyclic Groups, Normal Subgroups, Part groups, The concept of homomorphism and isomorphism, Description of Ring, Subrings, İdeals.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Integers
2Integers, Binary operations
3Group concept
4Group concept and its examples
5Subgroups
6Permutation groups
7Homomorphisms
8Midterm exam
9Cyclic Groups
10Remaining Classes
11Normal subgroups
12Division groups
13Rings
14Subrings
15Ideals
16
Recommended or Required Reading
1) Neşet Aydın, Hatice Kandamar (2015), Soyut Cebir, Paradigma Akademi Yayınları. 2) Develi, M.H. (2008). Cebire Giriş. Pegem Akademi: Ankara 3) Neşet Aydın, Kazım Kaya, Hatice Kandamar (2011), Soyut Cebir Problemleri, Kriter Basım Yayın.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
Yarıyıl (Yıl) İçi Etkinlikleri40
Yarıyıl (Yıl) Sonu Etkinlikleri60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14342
Problem Solving14228
Individual Study for Homework Problems14228
Individual Study for Mid term Examination12424
Individual Study for Final Examination12424
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
PO
12
PO
13
PO
14
PO
15
PO
16
LO12454233434253441
LO22442344343243234
LO32232333354424233
LO43334543443444332
LO54533444233443433
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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