Türkçe English Rapor to Course Content
COURSE SYLLABUS
ABSTRACT ALGEBRA
1 Course Title: ABSTRACT ALGEBRA
2 Course Code: MAT3020
3 Type of Course: Compulsory
4 Level of Course: First Cycle
5 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
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: Doç. Dr. Gökhan SOYDAN, 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, 16059, Görükle / Bursa
18 Website:
19 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
20 Contribution of the Course to Professional Development
21 Learning Outcomes:
22 Course Content:
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
23 Textbooks, References and/or Other Materials:
24 Assesment
TERM LEARNING ACTIVITIES NUMBER PERCENT
Midterm Exam 2 50
Quiz 0 0
Homeworks, Performances 0 0
Final Exam 1 50
Total 3 100
Contribution of Term (Year) Learning Activities to Success Grade 50
Contribution of Final Exam to Success Grade 50
Total 100
Measurement and Evaluation Techniques Used in the Course
Information
25 ECTS / WORK LOAD TABLE
Activites NUMBER TIME [Hour] Total WorkLoad [Hour]
Theoretical
Practicals/Labs
Self Study and Preparation
Homeworks, Performances 0
Projects
Field Studies
Midtermexams
Others
Final Exams
Total WorkLoad
Total workload/ 30 hr
ECTS Credit of the Course
26 CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10
LO1 0 0 0 0 0 0 0 0 0 0
LO2 0 0 0 0 0 0 0 0 0 0
LO3 0 0 0 0 0 0 0 0 0 0
LO4 0 0 0 0 0 0 0 0 0 0
LO5 0 0 0 0 0 0 0 0 0 0
LO6 0 0 0 0 0 0 0 0 0 0
LO7 0 0 0 0 0 0 0 0 0 0
LO8 0 0 0 0 0 0 0 0 0 0
LO9 0 0 0 0 0 0 0 0 0 0
LO10 0 0 0 0 0 0 0 0 0 0
LO: Learning Objectives PQ: Program Qualifications
Contribution Level: 1 Very Low 2 Low 3 Medium 4 High 5 Very High
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E-Mail : bologna@uludag.edu.tr
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