Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT466 - MATHEMATICS

Code: MAT466 Course Title: ADVANCED ALGEBRA II Theoretical+Practice: 4+0 ECTS: 6
Year/Semester of Study 4 / Spring Semester
Level of Course 1st Cycle Degree Programme
Type of Course Optional
Department MATHEMATICS
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer SEZER SORGUN (ssorgun@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
The purpose of this lesson is to comprhensive subjects which are given to students

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts.
PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
The integers, Groups and basic concepts, Rings and fields, Polynomials, finite fields, Linear Codes,
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Bounds for Codes Mutual discussion
2 primitive elements in finite fields Mutual discussion
3 Charecteristics of fields Mutual discussion
4 factors in polynomials Mutual discussion
5 Cyclotomic polynomials Mutual discussion
6 primitive elements in finite fields Mutual discussion
7 Primitive polynomials Mutual discussion
8 mid-term exam
9 Primitive polynomials Mutual discussion
10 Primitive polynomials Mutual discussion
11 Minimum distance in linear codes Mutual discussion
12 Minimum distance in linear codes Mutual discussion
13 Cyclic codes Mutual discussion
14 Cyclic codes Mutual discussion
15 Cyclic codes Mutual discussion
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Paul Garrett, The Mathmatics of Coding Theory, Prentice-Hall, 2004.
2 Sarah Spence Adams, Introduction to Algebraic Coding Theory, Cornell University, 2008
Required Course instruments and materials
Books

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 2

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 4 14 56
Outside Class
       a) Reading 2 14 28
       b) Search in internet/Library 2 14 28
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 1 7 7
       e) Term paper/Project 1 7 7
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 1 14 14
mid-term exam 3 1 3
Own study for final exam 2 14 28
final exam 3 1 3
0
0
Total work load; 174