Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / MAT508 - MATHEMATICS

Code: MAT508 Course Title: FUNCTIONAL ANALYSIS AND APPLICATIONS II Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Spring 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)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course

Learning Outcomes PO MME
The students who succeeded in this course:
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Normed space of operators Oral presentation, question and answer, problem solving
2 Inner product spaces Oral presentation, question and answer, problem solving
3 Orthogonal complements and regular sums Oral presentation, question and answer, problem solving
4 Orthogonal sequences Oral presentation, question and answer, problem solving
5 Series connected to orthonormal sequences Oral presentation, question and answer, problem solving
6 Complete orthonormal sets Oral presentation, question and answer, problem solving
7 General form of bounded linear functional in Hilbert space Oral presentation, question and answer, problem solving
8 mid-term exam
9 Hahn-Banach theorem Oral presentation, question and answer, problem solving
10 Open transformation theorem Oral presentation, question and answer, problem solving
11 Fourier Series Oral presentation, question and answer, problem solving
12 Closed graph theorem Oral presentation, question and answer, problem solving
13 Compact Transformations Oral presentation, question and answer, problem solving
14 Fourier Transform on Real Numbers Oral presentation, question and answer, problem solving
15 Fourier Transform on Real Numbers 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 14 42
Outside Class
       a) Reading 5 14 70
       b) Search in internet/Library 2 14 28
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 4 4 16
mid-term exam 2 1 2
Own study for final exam 5 4 20
final exam 2 1 2
0
0
Total work load; 180