Third Cycle Programmes
    (Doctorate Degree)
Second Cycle Programmes
    (Master's Degree)
First Cycle Programmes
    (Bachelor's Degree)
Short Cycle Programmes
    (Associate's Degree)
 
Second Cycle Programmes (Master's Degree)

Graduate School of Natural and Applied Sciences - Mathematics - Topology - Second Cycle Programme with Thesis



General Description
History
Qualification Awarded
Level of Qualification
Second Cycle
Specific Admission Requirements
The applicants who hold a Bachelor's Degree and willing to enroll in the Master's programme may apply to the Directorate of the Graduate School with the documents: 1-Sufficient score (at least 55 out of 100) from the Academic Staff and Graduate Study Education Exam (ALES) conducted by Student Selection and Placement Center (OSYM) or GRE Graduate Record Examination (GRE) score or Graduate Management Admission Test (GMAT) score equivalent to ALES score of 55. 2-English proficiency (at least 70 out of 100 from the Profiency Exam conducted by Ege University Foreign Language Department, or at least 50 out of 100 from ÜDS (University Language Examination conducted by OSYM) or TOEFL or IELTS score equivalent to UDS score of 50. The candidates fulfilling the criteria outlined above are invited to interwiev. The assessment for admission to masters programs is based on : 50% of ALES, 25% of academic success in the undergraduate programme (cumulative grade point average (CGPA) ) and 25% of interview grade. The required minimum interview grade is 50 out of 100. The candidates having an assessed score of 60 at least are accepted into the Master's programme. The results of the evaluation are announced by the Directorate of Graduate School.
Specific Arrangements For Recognition Of Prior Learning (Formal, Non-Formal and Informal)
The rules for recognition of formal prior learning are well defined. A student who is currently enrolled in a Master's Degree programme in the same discipline at another institution and has successfully completed at least one semester, upon submitting all required documents before the deadline, may transfer to the Master's Programme at EGE University upon the recommendation of the department administration and with the approval of the Administrative Committee of the Graduate School. The decision taken will also include eligibility for exemption from some course requirements of the graduate program. Students who transfer from another university must be successful in the EGE University English Proficiency Exam or in an equivalent English examination. Recognition of prior non-formal and in-formal learning is at the beginning stage in Turkish Higher Education Institutions. Ege University is not an exception to this.
Qualification Requirements and Regulations
The programme consists of a minimum of seven courses delivered within the graduate programme of the department and in related fields, one seminar course, and thesis, with a minimum of 21 local credits. The seminar course and thesis are non-credit and graded on a pass/fail basis. The duration of the programme is four semesters. The maximum period to complete course work in a masters program with thesis is 4 semesters. However, with the approval of their advisors, students can in subsequent semesters take additional departmental courses with or without credits. The total ECTS credits of the programme is 120 ECTS. A student may take undergraduate courses on the condition that the courses have not been taken during the undergraduate program. However, at most two of these courses may be counted to the Master's course load and credits. Students must register for thesis work and the Specialization Field course offered by his supervisor every semester following the semester, in which the supervisor is appointed. A student who has completed work on the thesis within the time period, must write a thesis, using the data collected, according to the specifications of the Graduate School Thesis Writing Guide. The thesis must be defended in front of a jury. The Master's thesis jury is appointed on the recommendations of the relevant Department Chairperson and with the approval of the Administrative Committee of the Graduate School. The jury is composed of the thesis supervisor and 3 to 5 faculty members. Of the appointed jury members, up to one may be selected from another Department or another University. In case the jury consists of 3 members, the co-supervisor cannot be the jury member. A majority vote by the jury members determines the outcome of the thesis or examination. The vote can be for "acceptance", "rejection" or "correction". The Department Chairperson will inform the Director of the Graduate School, in writing, of the jury's decision within 3 days. To correct or change a thesis found incomplete and/or inadequate by the jury, the jury must specify in its report that such corrections are necessary. A student may be given, by a decision of the Administrative Committee of the Graduate School, up to three months to complete the corrections. The student must then retake the thesis examination.
Profile of The Programme
Occupational Profiles of Graduates With Examples
Access to Further Studies
Graduates who successfully completed the Master's Degree may apply to doctorate (third cycle) programmes in the same or in related disciplines.
Examination Regulations, Assessment and Grading
Graduation Requirements
Graduation requirements are explained in the section “Qualification Requirements and Regulations” .
Mode of Study (Full-Time, Part-Time, E-Learning )
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Address, Programme Director or Equivalent
Facilities

Key Learning Outcomes
1Ability to learn scientific, mathematical perception and the ability to use that information to related areas.
2To perform the ethical responsibilities in working life.
3Ability to learn information about history of science and scientific knowledge production.
4Ability to make individual and team work on issues related to working and social life.
5Ability to use mathematical knowledge in technology.
6Ability to develop a foreign language in a sufficient level to follow the information in his/her field of interest and to communicate with the colleagues.
7To apply mathematical principles to real world problems.
8Ability to assimilate mathematic related concepts and associate these concepts with each other.
9Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization.
10Following the developments in science and technology and gain self-renewing ability.
11Be able to access to information, make research on resources for this purpose and be able to use databases and other information resources.
12Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques.
13Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball.
14Ability to use the approaches and knowledge of other disciplines in Mathematics.
15Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary.

Key Programme Learning Outcomes - NQF for HE in Turkey
TYYÇKey Learning Outcomes
00000000
KNOWLEDGE1
2
SKILLS1
2
3
COMPETENCES (Competence to Work Independently and Take Responsibility)1
2
3
COMPETENCES (Learning Competence)1
COMPETENCES (Communication and Social Competence)1
2
3
4
COMPETENCES (Field Specific Competence)1
2
3

Course Structure Diagram with Credits
T : Theoretical P: Practice L : Laboratory
1. Semester
No Course Unit Code Course Unit Title Type of Course T P L ECTS
1 MAT-TOP12-SG-YL-G ELECTIVE COURSES 1 Elective - - - 22
2 9101077072018 Scientific Research and Publication Ethics Compulsory 2 0 0 6
3 9101075472014 Selected Topics in Topology Compulsory 3 0 0 8
Total 5 0 0 36
 
2. Semester
No Course Unit Code Course Unit Title Type of Course T P L ECTS
1 MAT-SG-YL-B ELECTIVE COURSES 2 Elective - - - 24
2 FENYLSEM Seminar Compulsory 0 0 0 6
Total 0 0 0 30
 
3. Semester
No Course Unit Code Course Unit Title Type of Course T P L ECTS
1 YLUAD591 Specialization Field Compulsory 0 0 0 4
2 YLTEZ591 Thesis Study Compulsory 0 0 0 26
Total 0 0 0 30
 
4. Semester
No Course Unit Code Course Unit Title Type of Course T P L ECTS
1 YLUAD591 Specialization Field Compulsory 0 0 0 4
2 YLTEZ592 Thesis Study Compulsory 0 0 0 26
Total 0 0 0 30
 
ELECTIVE COURSES 1
No Course Unit Code Course Unit Title Type of Course T P L ECTS
1 9101075012012 Functional Analysis I Elective 3 0 0 8
2 9101075052014 Selected Topics in Geometry Elective 3 0 0 8
3 9101075132015 Algebra I Elective 3 0 0 8
4 9101075172007 Higher Differential Geometry I Elective 3 0 0 8
5 9101075192014 Selected Topics in Algebra Elective 3 0 0 8
6 9101075232013 Topology I Elective 3 0 0 8
7 9101075251998 Algebraic Topology I Elective 3 0 0 8
8 9101075392014 Design and Analysis of Computer Algorithms I Elective 3 0 0 8
9 9101075432001 Pairwise Bitopological Space Elective 3 0 0 8
10 9101075532005 Introduction to Lattice Theory I Elective 3 0 0 8
11 9101075572000 Category Theory Elective 3 0 0 8
12 9101075592014 Comprehensive Studies in Foundations of Mathematics and Mathematical Logic Elective 3 0 0 8
13 9101075852014 Graph Theory and Complex Networks I Elective 3 0 0 8
14 9101075912013 Ideal Topological Spaces I Elective 3 0 0 8
15 9101075932013 Generalized Topology I Elective 3 0 0 8
16 9101075992014 Selected Topics in Analysis I Elective 3 0 0 8
17 9101077112017 Lie Groupoids I Elective 3 0 0 8
18 9101077132018 Fixed Point Theory I Elective 3 0 0 8
ELECTIVE COURSES 2
No Course Unit Code Course Unit Title Type of Course T P L ECTS
1 9101075022004 Functional Analysis II Elective 3 0 0 8
2 9101075102001 Group Representation Theory Elective 3 0 0 8
3 9101075201998 Topology II Elective 3 0 0 8
4 9101075221998 Algebraic Topology II Elective 3 0 0 8
5 9101075442002 Cryptosistems Elective 3 0 0 8
6 9101075502000 Introduction to Homological Algebra Elective 3 0 0 8
7 9101075562007 Higher Differential Geometry II Elective 3 0 0 8
8 9101075622005 Introduction to Lattice Theory II Elective 3 0 0 8
9 9101075862013 Ideal Topological Spaces II Elective 3 0 0 8
10 9101075882013 Generalized Topology II Elective 3 0 0 8
11 9101075922017 Lie Groupoids II Elective 3 0 0 8
12 9101077082018 Fixed Point Theory II Elective 3 0 0 8
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr