|
Prerequisites
|
-
|
|
Language of Instruction
|
English
|
|
Responsible
|
Assoc. Prof. Dr. Mustafa ASLANTAŞ
|
|
Instructors
|
-
|
|
Assistants
|
-
|
|
Resources
|
R1. Willard, S. (1970). General Topology, Reading. Mass.: Addison Wesley Pub. Co.
R2. Lecture Notes
|
|
Supplementary Book
|
SR1. Seymour, L. (1965). Shaum`s outline of theory and problems of general Topology.
SR2. Engelking, R. (1989) General Topology, Helderman Verlag Berlin
|
|
Goals
|
Introduce topological spaces and the notion of base for a topology. To investigate the interior, closure, frontier of a set and the set of accumulation points and isolated points of a set s in a topological space, continuity in topological spaces and homeomorphisms.
|
|
Content
|
Topological spaces, base for a topology and subbase, topological neighbourhood systems, the interior, closure, frontier and exterior of a set, the set of accumulation and isolated points of a set., continuity in topological spaces, homeomorphisms, open and closed mappings,
|
|
Program Learning Outcomes |
Level of Contribution |
|
1
|
Having advanced theoretical and applied knowledge in the basic areas of mathematics
|
3
|
|
2
|
Ability of abstract thinking
|
3
|
|
3
|
To be able to use the acquired mathematical knowledge in the process of defining, analyzing and separating the problem encountered into solution stages.
|
-
|
|
4
|
Associating mathematical achievements with different disciplines and applying them in real life
|
-
|
|
5
|
Ability to work independently in a problem or project that requires knowledge of mathematics
|
-
|
|
6
|
Ability to work harmoniously and effectively in national or international teams and take responsibility
|
-
|
|
7
|
Having the skills to critically evaluate and advance the knowledge gained from different areas of mathematics
|
-
|
|
8
|
To be able to determine what kind of knowledge learning the problem faced and to direct this knowledge learning process.
|
3
|
|
9
|
To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time
|
-
|
|
10
|
Ability to verbally and in writing convey thoughts on mathematical issues, and solution proposals to problems, to experts or non-experts.
|
-
|
|
11
|
Being able to produce projects and organize events with social responsibility awareness
|
-
|
|
12
|
Being able to follow publications in the field of mathematics and exchange information with colleagues by using a foreign language at least at the European Language Portfolio B1 General Level
|
-
|
|
13
|
Ability to use computer software (at least at the Advanced Level of European Computer Use License), information and communication technologies for solving mathematical problems, transferring ideas and results
|
-
|
|
14
|
Being conscious of acting in accordance with social, scientific, cultural and ethical values
|
-
|