1 |
Course Title: |
ABSTRACT ALGEBRA |
2 |
Course Code: |
MAT3020 |
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Type of Course: |
Compulsory |
4 |
Level of Course: |
First Cycle |
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Year of Study: |
3 |
6 |
Semester: |
6 |
7 |
ECTS Credits Allocated: |
6 |
8 |
Theoretical (hour/week): |
2 |
9 |
Practice (hour/week) : |
2 |
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: |
Doç. Dr. Gökhan SOYDAN, 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, 16059, Görükle / Bursa |
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Website: |
|
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Objective of the Course: |
To introduce algebraic structures mainly groups, rings and fields, to give their properties and examples together with the relations between them, and to give a classification of the main algebraic structures |
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Contribution of the Course to Professional Development |
|
Week |
Theoretical |
Practical |
1 |
Groups |
Group examples |
2 |
Group tables |
Examples to group properties |
3 |
Subgroups |
Subgroup examples |
4 |
normal subgroups |
examples of normal subgroups |
5 |
permutation groups |
examples of permutations and symmetric groups |
6 |
alternating groups |
alternating group examples |
7 |
algebraic transformations |
homomorphism and kernel examples |
8 |
quotient groups |
examples to quotient groups |
9 |
properties of quotient groups |
examples of properties of quotient groups |
10 |
cyclic groups |
examples of cyclic groups |
11 |
dihedral groups |
examples of dihedral groups |
12 |
direct product and isomorphism theorems |
examples of direct product and isomorphism theorems |
13 |
ring, subring and ideals |
examples of ring, subring and ideals |
14 |
fields |
examples of fields |