| 1 |
Course Title: |
ALGEBRA II |
| 2 |
Course Code: |
MAT5206 |
| 3 |
Type of Course: |
Optional |
| 4 |
Level of Course: |
Second Cycle |
| 5 |
Year of Study: |
1 |
| 6 |
Semester: |
2 |
| 7 |
ECTS Credits Allocated: |
6 |
| 8 |
Theoretical (hour/week): |
3 |
| 9 |
Practice (hour/week) : |
0 |
| 10 |
Laboratory (hour/week) : |
0 |
| 11 |
Prerequisites: |
none |
| 12 |
Recommended optional programme components: |
None |
| 13 |
Language: |
Turkish |
| 14 |
Mode of Delivery: |
Face to face |
| 15 |
Course Coordinator: |
Prof. Dr. İSMAİL NACİ CANGÜL |
| 16 |
Course Lecturers: |
Prof. Dr. Süleyman ÇİFTÇİ, Doç. Dr. Ahmet TEKCAN, Yrd. Doç. Dr. Musa DEMİRCİ, Yrd. Doç. Dr. Hacer ÖZDEN |
| 17 |
Contactinformation of the Course Coordinator: |
cangul@uludag.edu.tr, 0224 2941756, Fen-Edebiyat Fakültesi, Matematik Bölümü |
| 18 |
Website: |
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Objective of the Course: |
The aim of the course is to extend the algebraic notions learned at undergraduate level and give advanced algebra topics. |
| 20 |
Contribution of the Course to Professional Development |
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| Week |
Theoretical |
Practical |
| 1 |
Review of groups |
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| 2 |
Review of rings, domains and fields
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|
| 3 |
Fundamental notions of Galois theory |
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| 4 |
Roots of unity and Galois extensions |
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| 5 |
Galois groups of quadratic, cubic and quartics |
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| 6 |
Roots, radicals and real numbers |
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| 7 |
Domains and fields
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| 8 |
Structure of finite fields |
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| 9 |
Classification of finite fields |
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| 10 |
Solvability of equations with radicals |
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| 11 |
Norm and trace |
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| 12 |
Simple extensions |
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| 13 |
Seperable extensions
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| 14 |
Cyclotomic extensions
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