1 |
Course Title: |
ALGEBRA II |
2 |
Course Code: |
MAT5206 |
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Type of Course: |
Optional |
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Level of Course: |
Second Cycle |
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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 |
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Recommended optional programme components: |
None |
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Language: |
Turkish |
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Mode of Delivery: |
Face to face |
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Course Coordinator: |
Prof. Dr. İSMAİL NACİ CANGÜL |
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Course Lecturers: |
Prof. Dr. Süleyman ÇİFTÇİ, Doç. Dr. Ahmet TEKCAN, Yrd. Doç. Dr. Musa DEMİRCİ, Yrd. Doç. Dr. Hacer ÖZDEN |
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Contactinformation of the Course Coordinator: |
cangul@uludag.edu.tr, 0224 2941756, Fen-Edebiyat Fakültesi, Matematik Bölümü |
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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. |
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Contribution of the Course to Professional Development |
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Week |
Theoretical |
Practical |
1 |
Review of groups |
|
2 |
Review of rings, domains and fields
|
|
3 |
Fundamental notions of Galois theory |
|
4 |
Roots of unity and Galois extensions |
|
5 |
Galois groups of quadratic, cubic and quartics |
|
6 |
Roots, radicals and real numbers |
|
7 |
Domains and fields
|
|
8 |
Structure of finite fields |
|
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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