Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / MAT577 - MATHEMATICS

Code: MAT577 Course Title: FUZZY MATHEMATICAL ANALYSIS I Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Fall Semester
Level of Course 2nd 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 ZARİFE ZARARSIZ (zarifezararsiz@nevsehir.edu.tr)
Name of Lecturer(s) ZARİFE ZARARSIZ,
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems.
PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other.
PO-3 Mathematics, natural sciences and their branches in these areas and related issues has sufficient infrastructure solutions for the problems of theoretical and practical uses of mathematics.
PO-13 Ability to use mathematical knowledge in technology.
PO-14 Ability to develop a foreign language in a sufficient level to follow the information in his/her field of interest and to communicate with the colleagues.
PO-15 To apply mathematical principles to real world problems.
Examination
Presentation
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Interval Analysis and Algebraic Structure Oral presentation, question and answer, problem solving
2 Interval Analysis and Algebraic Structure Oral presentation, question and answer, problem solving
3 Infinite Dimensional Matrices of Interval Matrices Oral presentation, question and answer, problem solving
4 Infinite Dimensional Matrices of Interval Matrices Oral presentation, question and answer, problem solving
5 Norm and Some Properties of Infinite Dimensional Interval Matrices Oral presentation, question and answer, problem solving
6 Determinant of Infinite Dimension Interval Matrices Oral presentation, question and answer, problem solving
7 Topological Structure of Interval Numbers Oral presentation, question and answer, problem solving
8 mid-term exam
9 Topological Structure of Interval Numbers Oral presentation, question and answer, problem solving
10 Fuzzy Set Definition and Algebraic Structures Oral presentation, question and answer, problem solving
11 Fuzzy Set Definition and Algebraic Structures Oral presentation, question and answer, problem solving
12 Topological Structure of Fuzzy Sets Oral presentation, question and answer, problem solving
13 Topological Structure of Fuzzy Sets Oral presentation, question and answer, problem solving
14 Entropy and Similarity Measure Definitions on Fuzzy Sets Oral presentation, question and answer, problem solving
15 Entropy and Similarity Measure Definitions on Fuzzy Sets Oral presentation, question and answer, problem solving
16 final exam
Recommend Course Book / Supplementary Book/Reading
Required Course instruments and materials

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 40
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 15 2 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 3 0
Outside Class
       a) Reading 0
       b) Search in internet/Library 0
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 5 8 40
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 10 9 90
mid-term exam 3 1 3
Own study for final exam 5 9 45
final exam 2 1 2
0
0
Total work load; 180