Türkçe English Rapo 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 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.;
21 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
22 Textbooks, References and/or Other Materials: Algebra : A Graduate Course, I. Martin Isaacs, Algebra, Michael Artin
23 Assesment
TERM LEARNING ACTIVITIES NUMBER PERCENT
Midterm Exam 0 0
Quiz 0 0
Home Work-Project 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
Information
24 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 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
25 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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