FACULTY OF SCIENCE / MATHEMATICS / MAT4037 - METRIC AND TOPOLOGICAL SPACES 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
Brief Content of the Course
Prerequisites

Course Objectives
 
Course Objectives 
1To learn the concepts of sets, functions, finite sets, and countable sets.
2To learn the concepts of ordering relations, absolute value, and some important inequalities.
3To learn the concepts of real number sequences and continuity.
4To learn the concept of linear spaces (vector spaces).
5Learn the concept of metric spaces
6 Learn the concept of normed spaces
7 Learn the concept of submetric spaces
8Midterm exam, learn the concept of normed subspaces
9 Learn the concept of open sets in metric spaces
10learning the concepts of open and closed sets in submetric spaces
11learning the concepts of open and closed sets in submetric spaces
12learning the concept of neighborhoods in metric spaces
13learning the concept of accumulation points in metric spaces
14 learning the sustainable properties of these definitions and concepts given in metric and topology
 
Course Category
Course Category Percentage
Mathematics and Basic Sciences