- Course Code
- EMT305
- Semester
- Fifth Term (Fall)
- Theory+Practice
- 3 + 0
- ECTS
- 4
| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 3 |
|---|
| Semester | Fifth Term (Fall) |
|---|
| ECTS | 4 |
|---|
| 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 | No |
|---|
| Course Description | Binary operations, definition of group and basic properties, subgroups, permutation groups, cyclic groups, symmetry group of uniform n-gene, cyclic permutations, odd and even permutations, homomorphisms, Kosets and Lagrange's theorem, isomorphism theorems, effect of a group on a set, rings, subrings and ideals, prime and maximal ideals, ring homomorphisms. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Binary trading |
|
2nd Week |
Prime remainder classes and congruence in integers |
|
3rd Week |
Groups; definition and characteristics |
|
4th Week |
Subgroups |
|
5th Week |
Group generator, cyclic subgroups |
|
6th Week |
Cyclic groups |
|
7th Week |
Remaining classes, normal subgroups |
|
8th Week |
Midterm |
|
9th Week |
Normal subgroups, section groups |
|
10th Week |
Group homomorphisms |
|
11th Week |
Permutation groups |
|
12th Week |
Ring: definition and properties, body: definition and properties |
|
13th Week |
Bottom rings |
|
14th Week |
Ideals |
|
15th Week |
General review |
|
| Recommended or Required Reading | Dursun Taşcı, Soyut Cebir, Alp Yayınevi,Ankara
F. Çallıalp, Örneklerle Soyut Cebir, Birsen Yayınevi, 2009. |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
- Problem Solving
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
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 |
1 |
2 |
2 |
| 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 |
1 |
14 |
14 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
|
|
|
| Total Work Load | 121 |
| Total Work Load / 30 (h) | 4.03 |
| ECTS Credit of the Course | 4 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
Programme Qualifications / Learning Outcomes
|
LO1 |
LO2 |
LO3 |
| K1 |
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| K2 |
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| K3 |
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| K4 |
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| K5 |
|
|
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| K6 |
|
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| K7 |
|
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| K8 |
|
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| K9 |
X |
X |
X |
| K10 |
X |
X |
X |
