Homepage
Türkçe
Contact
Shortcuts
Getting Information
Academic Calendar
Dining Virtual Pos
e Learning System
Event Request Form
Faculty of Dentistry Appointment
Information Package
Lunch Menu
NOHU Login
NUBulut
Personnel e-mail
Phone Directory
Student e-mail
Survey
NİĞDE ÖMER HALİSDEMİR UNIVERSITY
Information Package Course Catalogue
Information on the Instutition
University Senate and Executive Board
Organization Chart
Akademic Calendar
General Information
General Admission Requirements
General Registration Prosedures
Rules and Regulations
Recognition of Prior Learning
Diploma Supplement
Arrangements for Academic Guidance
ECTS Credit Allocation
Name and Adress
Degree Programs
Short Cycle
First Cycle
Second Cycle
Third Cycle
Course Catalogue For Exchange Students
General Information for Student
Cost of Living
Accommodation Services
Dining Services
Medical Facilities
Insurance
Learning Facilities
Cultural and Social Facilities
Sports and Leisure Facilities
Student Associations
Intenational Programs
Language Policy and Courses
Internship
Financial Support for Students
Facilities for Special Needs Student
Student's Affair Office
Practical Information For Exchange Students
Life in Niğde
FACULTY OF SCIENCE / MATHEMATICS / MAT4003 - FUNCTIONAL ANALYSIS I
GENERAL INFORMATION ABOUT THE COURSE
Course Code
Semester
Course Type
Course Level
Course Language
Course Title
Theoretical
Practical
ECTS
Turkish Name of the Course
Course Coordinator
E Mail
Assistant Staff of the Course
E Mail
Course Objective
It is known that, problems from different fields often enjoy related features and properties. This fact was used for an effective unifying approach towards such problems, the unification being obtained by the omission of unessential details.Hence the advantage of such an abstract approach is that it concentrates on the essential facts, so that this facts become clearly visible since the investigater?s attention is not disturbed by unimportant details. The aim of this course is to realize these type of abstract approaches by some abstract spaces such as metric spaces, normed spaces, inner product spaces, etc.
Brief Content of the Course
Metric and normed spaces , banach spaces, compactness , linear operators and linear functionals, and dual spaces, as foundations for constructing sustainable mathematical models.
Prerequisites
Course Objectives
Course Objectives
1
Teaching concepts of metric space, linear space and normed space
2
Teaching convergent sequence, Cauchy sequence, concept of completeness and Banach space
3
Teaching compactness and linear operators
4
Introducing linear functionals and dual spaces
Loading…
Course Category
Course Category
Percentage
Mathematics and Basic Sciences
Basic Vocational Courses