Türkçe English Rapor to Course Content
COURSE SYLLABUS
ALGEBRA II
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:
19 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
21 Learning Outcomes:
1 Can define algebraic structures.;
2 Can give examples of algebraic structures.;
3 Can give examples of different situations on different algebraic structures.;
22 Course Content:
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
10 Solvability of equations with radicals
11 Norm and trace
12 Simple extensions
13 Seperable extensions
14 Cyclotomic extensions
23 Textbooks, References and/or Other Materials: Algebra : A Graduate Course, I. Martin Isaacs,
Algebra, Michael Artin
24 Assesment
TERM LEARNING ACTIVITIES NUMBER PERCENT
Midterm Exam 0 0
Quiz 0 0
Homeworks, Performances 3 30
Final Exam 1 70
Total 4 100
Contribution of Term (Year) Learning Activities to Success Grade 30
Contribution of Final Exam to Success Grade 70
Total 100
Measurement and Evaluation Techniques Used in the Course
Information
25 ECTS / WORK LOAD TABLE
Activites NUMBER TIME [Hour] Total WorkLoad [Hour]
Theoretical 14 3 42
Practicals/Labs 0 0 0
Self Study and Preparation 14 8 112
Homeworks, Performances 3 16 48
Projects 0 0 0
Field Studies 0 0 0
Midtermexams 0 0 0
Others 0 0 0
Final Exams 1 30 30
Total WorkLoad 232
Total workload/ 30 hr 7,73
ECTS Credit of the Course 7,5
26 CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10
LO1 4 0 0 3 0 0 0 0 0 0
LO2 2 0 0 3 0 0 3 3 0 0
LO3 0 4 0 3 5 0 0 4 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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