1 | Course Title: | ABSTRACT ALGEBRA I |
2 | Course Code: | MAT6201 |
3 | Type of Course: | Optional |
4 | Level of Course: | Third Cycle |
5 | Year of Study: | 1 |
6 | Semester: | 1 |
7 | ECTS Credits Allocated: | 5 |
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, 0 224 2941756, Fen-Edebiyat Fakültesi, Matematik Bölümü, Görükle / Bursa |
18 | Website: | |
19 | Objective of the Course: | The aim of this course is to teach former algebraic notions intensively and in detail and to maket hem differentiate between results on different algebraic structures |
20 | Contribution of the Course to Professional Development |
21 | Learning Outcomes: |
|
22 | Course Content: |
Week | Theoretical | Practical |
1 | Algebraic transformations | |
2 | Properties of algebraic transformations | |
3 | Isomorphism theorems | |
4 | p-groups | |
5 | Structure of p-groups | |
6 | Sylow theorems | |
7 | Group representations | |
8 | Rings and domains | |
9 | Ring mappings | |
10 | Subrings and subfields | |
11 | Ideals | |
12 | Quotient rings | |
13 | Characteristic | |
14 | Group action on a set |
23 | Textbooks, References and/or Other Materials: |
1. Lecture Notes, İsmail Naci Cangül 2. Elementary Number Theory, Gareth Jones & Mary Jones, Springer 3. A First Course in Abstract Algebra, John B. Fraleigh, 4. A First Course in Abstract Algebra, Joseph J. Rotman |
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 | 6 | 84 |
Homeworks, Performances | 3 | 12 | 36 |
Projects | 0 | 0 | 0 |
Field Studies | 0 | 0 | 0 |
Midtermexams | 0 | 0 | 0 |
Others | 0 | 0 | 0 |
Final Exams | 1 | 33 | 33 |
Total WorkLoad | 195 | ||
Total workload/ 30 hr | 6,5 | ||
ECTS Credit of the Course | 6,5 |
26 | CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS | |||||||||||||||||||||||||||||||||
|
LO: Learning Objectives | PQ: Program Qualifications |
Contribution Level: | 1 Very Low | 2 Low | 3 Medium | 4 High | 5 Very High |