MT415 Coding Theory

5 ECTS - 3-0 Duration (T+A)- 7. Semester- 3 National Credit

Information

Code MT415
Name Coding Theory
Term 2024-2025 Academic Year
Semester 7. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. GONCA AYIK
Course Instructor Prof. Dr. GONCA AYIK (A Group) (Ins. in Charge)


Course Goal / Objective

The aim of this course is to explain mathematical foundations of the coding theory to students.

Course Content

In this course source coding, uniquely decodable codes, instantaneous codes, Kraft and McMillan inequalities, optimal codes, binary Huffman codes, extensions of sources, information and entropy, Shannon Fano coding, Sahnnon first theorem, information channels, binary symmetric channels, using an unreliable channel, error-correction codes, linear coding are described.

Course Precondition

NONE

Resources

Information and coding theory, G. A. Jones and J.M. Jones, Springer, 2000.

Notes

Information and coding theory, G. A. Jones and J.M. Jones, Springer, 2000.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Recognizes the technical definition and is able to explain the concept of coding.
LO02 Recognises different types of codes.
LO03 Recognises the concepts of information and coding.
LO04 Uses the basic theorems in Coding Theory
LO05 Recognizes the error correction concepts.
LO06 Recognizes Kraft and McMillan inequalities.
LO07 Uses extensions of sources.
LO08 Recognizes linear coding.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Comprehend the ability to prove the mathematical knowledge gained in secondary education on the basis of theoretical basis. 4
PLO02 Bilgi - Kuramsal, Olgusal Understands importance of basic consepts of Algebra, Analaysis and Topology.
PLO03 Yetkinlikler - Öğrenme Yetkinliği Mathematical reasoning demonstrates the ability to develop and write mathematical proofs by gaining maturity.
PLO04 Bilgi - Kuramsal, Olgusal Demonstrates the ability to express the basic theories of mathematics accurately both in writing and orally.
PLO05 Bilgi - Kuramsal, Olgusal Understands the relationship between the different fields of mathematics and its relation to other disciplines. 4
PLO06 Bilgi - Kuramsal, Olgusal Comprehends the ability to understand the relationships between the objects in the most understandable way while creating a model for any problem.
PLO07 Bilgi - Kuramsal, Olgusal Comprehend and explain mathematical models such as formulas, graphs, tables and schema. 3
PLO08 Bilgi - Kuramsal, Olgusal Demonstrate the ability to mathematically rearrange, analyze, and model the problems they encounter. 4
PLO09 Bilgi - Kuramsal, Olgusal Comprehends at least one of the computer programming languages.
PLO10 Bilgi - Kuramsal, Olgusal Demonstrate the ability to use scientific methods and appropriate technologies effectively in problem solving. 4
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Understands sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği In addition to their professional development, they demonstrate their ability to continuously improve themselves by identifying their educational needs in scientific, cultural, artistic and social areas in line with their interests and abilities.
PLO13 Yetkinlikler - Öğrenme Yetkinliği Understands the programming techniques and shows the ability to do programming.
PLO14 Yetkinlikler - Öğrenme Yetkinliği Demonstrates the ability to study mathematics both independently and as a group.
PLO15 Bilgi - Kuramsal, Olgusal Demonstrate an awareness of the universal and social impacts and legal consequences of mathematical applications in the field of study. 4
PLO16 Bilgi - Kuramsal, Olgusal Demonstrate the ability to select, use and develop effectively for contemporary mathematical applications.
PLO17 Bilgi - Kuramsal, Olgusal It has ability of lifelong learning awareness, access to information, monitoring developments in science and technology and self-renewal ability. 3
PLO18 Bilgi - Kuramsal, Olgusal Gains the ability to use information technologies effectively for contemporary mathematical applications. 3
PLO19 Bilgi - Kuramsal, Olgusal Gains the ability to design, conduct experiments, field work, data collection, analysis, archiving, text solving and / or interpretation according to mathematics fields.
PLO20 Bilgi - Kuramsal, Olgusal Gains the consciousness of prefesional ethics and responsibility. 4


Week Plan

Week Topic Preparation Methods
1 Source coding Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
2 Uniquely decodable codes, instantaneous codes Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
3 Kraft and McMillan inequalities Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
4 Optimal codes Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
5 Binary Huffman codes Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma, Soru-Cevap
6 Extensions of sources Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
7 Information and entropy Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
8 Mid-Term Exam Review Ölçme Yöntemleri:
Yazılı Sınav
9 Shannon-Fano coding Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
10 Shannon s First Theorem Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
11 Information channels Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
12 Binary symmetric channels Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
13 Using an unreliable channel Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
14 Linear coding Reading the relevant parts of the textbook Öğretim Yöntemleri:
Anlatım, Tartışma
15 Review Review Öğretim Yöntemleri:
Tartışma
16 Term Exams Review Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review 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 3 42
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 18 18
Total Workload (Hour) 114
Total Workload / 25 (h) 4,56
ECTS 5 ECTS

Update Time: 16.08.2024 11:25