MT554 Computational Group Theory II

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code MT554
Name Computational Group Theory II
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Doktora Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. GONCA AYIK


Course Goal / Objective

The aim of this course is to teach further results of group presentations to the students.

Course Content

In this course presentations of certain subgroups, presentations of certain group extensions, Relation modules, finite p-groups and The nilpotent Quotient algorithm are descibed.

Course Precondition

NONE

Resources

Miscellaneous Articles

Notes

Lecture Notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Knows some special group structures.
LO02 Recognizes finite p-groups.
LO03 Recognizes the Nilpotent Quotient Algorithm.
LO04 Recognizes some special group structures.
LO05 Comprehends group extensions.
LO06 Comprehends HNN extension.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Knows the results of previous research in a special field of mathematics 4
PLO02 Bilgi - Kuramsal, Olgusal Knows in detail the relationship between the results in her area of expertise and other areas of mathematics.
PLO03 Bilgi - Kuramsal, Olgusal Establishes new mathematical models with the help of the knowledge gained in the field of specialization. 4
PLO04 Bilgi - Kuramsal, Olgusal Has basic knowledge in all areas of mathematics
PLO05 Bilgi - Kuramsal, Olgusal It presents the knowledge gained in different fields of mathematics and their relations with each other in the simplest and most understandable way. 5
PLO06 Bilgi - Kuramsal, Olgusal Effectively uses the technical equipment needed to express mathematics 4
PLO07 Bilgi - Kuramsal, Olgusal Sets up original problems in her field and offers different solution techniques 3
PLO08 Bilgi - Kuramsal, Olgusal It carries out original and qualified scientific studies on the subject related to its field. 4
PLO09 Bilgi - Kuramsal, Olgusal Analyzes existing mathematical theories and develops new theories. 4
PLO10 Beceriler - Bilişsel, Uygulamalı Knows the teaching-learning techniques in areas of mathematics that require expertise and uses these techniques effectively at every stage of education. 5
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği To have foreign language knowledge at a level to be able to follow foreign sources related to the field and to communicate verbally and in writing with foreign stakeholders.
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği It presents and publishes its original works within the framework of scientific ethical rules for the benefit of its stakeholders. 5
PLO13 Yetkinlikler - Öğrenme Yetkinliği Adheres to the ethical rules required by its scientific title 5


Week Plan

Week Topic Preparation Methods
1 Some special group constructions Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma, Soru-Cevap
2 Some special group constructions 1 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
3 Some special group constructions 2 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
4 Some special group 3 constructions Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
5 HNN extensions . Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
6 Group extensions 1 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
7 Group extensions 2 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
8 Mid-Term Exam Lecture, problem solving Ölçme Yöntemleri:
Yazılı Sınav
9 Group extensions 3 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
10 Relation modules, G-module 1 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
11 Relation modules, G-module 2 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
12 The augmentation ideal, derivations 1 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
13 The augmentation ideal, derivations 2 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
14 Free differential calculus 1 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
15 Free differential calculus 2 Reviewing the relevant chapters in the sources Öğretim Yöntemleri:
Anlatım, Tartışma
16 Term Exams Lecture, problem solving Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Lecture, problem solving Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 09.05.2024 11:39