| Course Type | Elective Course |
|---|
| Course Level | Master's Degree With Thesis |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 5 |
|---|
| Name of Lecturer(s) |
- |
| Learning Outcomes |
At the end of this course, the students;
- Develop abstraction and fast thinking skills.
- Demonstrate inverse examples in some algebraic structures easily.
- Ask himself/herself mathematical questions.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | |
|---|
| Course Description | Cartesian product and relation, Binary operation, Divisibility of integers, Lcm, Gcd, Euclid's Algorithm, Congruences, Groups, Subgroups, Normal subgroups, Symmetric Groups, Groups homomorphisms, Groups isomorphism, Cyclic Groups, Iternal direct sum, External direct sum, Rings, Subring, Ideals, Rings homomorphisms. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Cartesian product and relation, Binary operations |
|
2nd Week |
Divisibility of integers, Lcm, Gcd, Euclid's Algorithm |
|
3rd Week |
Congruences |
|
4th Week |
Groups |
|
5th Week |
Subgroups |
|
6th Week |
Normal subgroups |
|
7th Week |
Symmetric Groups |
|
8th Week |
Mid-Term Exam |
|
9th Week |
Groups homomorphisms, Groups homomorphisms |
|
10th Week |
Cyclic Groups |
|
11th Week |
Iternal direct sum, External direct sum |
|
12th Week |
Rings |
|
13th Week |
Subring, Ideals |
|
14th Week |
Subring, Ideals |
|
15th Week |
Rings homomorphisms |
|
| Recommended or Required Reading | Taşcı Dursun, Soyut Cebir, Ankara (2010)
Herstein I.N, (1975), Topics In Algebra, John Wiley nad Sons |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Assignment |
2 |
40 |
| Total(%) |
|
40 |
| Contribution of In-term Studies to Overall Grade(%) |
|
40 |
| Contribution of Final Examination to Overall Grade(%) |
|
60 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
|
|
|
| Preparation for Quiz |
|
|
|
| Individual or group work |
13 |
3 |
39 |
| Preparation for Final exam |
1 |
25 |
25 |
| Course hours |
13 |
3 |
39 |
| Preparation for Midterm exam |
|
|
|
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
2 |
22 |
44 |
| Total Work Load | 149 |
| Total Work Load / 30 (h) | 4.96 |
| ECTS Credit of the Course | 5 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
