Course Name Code Semester T+U Hours Credit ECTS
Ileri Topoloji MAT 004 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level yuksek_lisans Course Type Compulsory Course Coordinator Prof.Dr. SOLEY ERSOY Course Lecturers Doç.Dr. MAHPEYKER ÖZTÜRK, Course Assistants Course Category Course Objective Course Content
# Course Learning Outcomes Teaching Methods Assessment Methods
1
Week Course Topics Preliminary Preparation
1 Topology, open sets, closed sets, subspaces, neighborhood and neighborhood systems
2 Closure sets, derivative sets,
3 Dense sets, rickety sets, Baire Spaces, ideals
4 Bases, neighborhood bases and sub bases
5 Continuous functions, Open and closed functions, topological equivalence
6 Separable spaces, First and second countable spaces, Lindelöf spaces
7 Sequences, convergence of sequences, convergence of nets and nets
8 Separation axioms
9 Compact spaces, Sequential compact spaces
10 Countable compact spaces, Compaction
11 Connected Spaces, Composition of a Space, Totally Disconnected Spaces
12 Locally connected spaces, arc connected spaces
13 Product and partition spaces
14 Lattice structures
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
0 Develop strategic, political and practice plans and evaluate the results by taking into account the quality process in his/her area of expertise
2 Student follows the current journals in his/her field and puts forward problems. X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research.
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
11 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Ödev 30
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100