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 - Second Cycle Programme with Thesis



General Description
History
The department of Mathematics was founded as a major, independent unit within the Faculty of Science in 1961. In 1973, it was proposed that it be a department consisting of two subsections: Applied Mathematics and Theoretic Mathematics. The department was reformed in 1982. Since then it has had seven subunits (Theory of Algebra and Number, Geometry, Theory of Calculus and Functions, Topology, Foundations of Mathematics and Mathematical Logic, Applied Mathematics, and Computer Science) and steadily improved in the areas of academics and education.
Qualification Awarded
The Master’s Degree in Mathematics (second cycle in Mathematics) is awarded to the graduates who have successfully fulfilled all programme requirements.
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
The education is four years excepting one year of English Prepration. The students who couldn’t qualified for English must attend English Prepration education at foreign language department. Some part of department lessons are English. Our departments education program is coordinated as to follow nowadays mathematical developments. First semester all the department students take common lessons; General :Mathematics, Analysis, Topology, Differential Equations, Abstract Algebra, Computer Science and etc. At the fifth semester, students chose options as Theoritical Mathematics, Computer Science and Applied Mathematics. At the third and fourth years all the options have optional and compulsary lessons.
Occupational Profiles of Graduates With Examples
If the graduates have formation and get KPSS Marks, they can be appointed as a Mathematics theacher by M.E.B, or they can be work as a mathematics theacher at private establishment preparing students for various exams and special school. On computer sector they can work in diferent positions. The students who are in graduate education can be researcher and researcher assistants in universities.
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
Students are required to take a mid-term examination and/or complete other assigned projects/homework during the semester and, additionally, are required to take a final examination and/or complete a final project for course evaluation. The final grade is based on the mid-term examination grade, the final examination grade and/or evaluation of final project, with the contributions of 40% and 60%, respectively. To pass any course, a Master's student must receive at least 70 out of 100. Students must repeat courses they have failed or may substitute courses the Department accepts as equivalent. The assessment for each course is described in detail in “Individual Course Description”.
Graduation Requirements
Graduation requirements are explained in the section “Qualification Requirements and Regulations” .
Mode of Study (Full-Time, Part-Time, E-Learning )
Full-Time
Address, Programme Director or Equivalent
Assoc. Prof. Dr. Bahadır TANTAY: ECTS Coordinator, Tel : +90 232 311 - 1754 e-posta : bahadir.tantay@ege.edu.tr
Facilities
In our department there are 8 professor, 6 associate professor, 12 assistant professor, 4 university lecturer, 13 research assistant and 997 students.

Key Learning Outcomes
1Ability to assimilate mathematic related concepts and associate these concepts with each other.
2Ability to learn scientific, mathematical perception and the ability to use that information to related areas.
3Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization.
4Following the developments in science and technology and gain self-renewing ability.
5Be able to access to information, make research on resources for this purpose and be able to use databases and other information resources.
6To perform the ethical responsibilities in working life.
7Ability to learn information about history of science and scientific knowledge production.
8Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques.
9Ability to make individual and team work on issues related to working and social life.
10Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball.
11Ability to use mathematical knowledge in technology.
12Ability 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.
13To apply mathematical principles to real world problems.
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
123456789101112131415
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 9101075032013 Comprehensive Studies in Mathematics I Compulsory 3 0 0 8
2 MAT-SG-YL-G ELECTIVE COURSES 1 Elective - - - 22
3 9101077072018 Scientific Research and Publication Ethics Compulsory 2 0 0 0
Total 5 0 0 30
 
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 1 0 0 6
Total 1 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 0
Total 0 0 0 4
 
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 9101075072012 Computational Mathematics Elective 3 0 0 8
2 9101075092012 Fractional Differential Equations Elective 3 0 0 8
3 9101075112011 Noncommutative Rings I Elective 3 0 0 8
4 9101075132015 Algebra I Elective 3 0 0 8
5 9101075152007 Stability Theory of Difference Equations Elective 3 0 0 8
6 9101075172007 Higher Differential Geometry I Elective 3 0 0 8
7 9101075212002 Geometric Design I Elective 3 0 0 8
8 9101075232013 Topology I Elective 3 0 0 8
9 9101075251998 Algebraic Topology I Elective 3 0 0 8
10 9101075272001 Introduction to Modal Logic I Elective 3 0 0 8
11 9101075312013 Numerical Linear Algebra Elective 3 0 0 8
12 9101075351998 Linear Machines and Coding Theory Elective 3 0 0 8
13 9101075372002 Distance in Graphs Elective 3 0 0 8
14 9101075412002 Combinatorial Optimization Elective 3 0 0 8
15 9101075432001 Pairwise Bitopological Space Elective 3 0 0 8
16 9101075452015 Indroductory to Time Scales Elective 3 0 0 8
17 9101075492005 Topological Graph Theory Elective 3 0 0 8
18 9101075512015 Coomplements in Analysis Elective 3 0 0 8
19 9101075532005 Introduction to Lattice Theory I Elective 3 0 0 8
20 9101075552002 Spectral Theory of Hill Equation I Elective 3 0 0 8
21 9101075572000 Category Theory Elective 3 0 0 8
22 9101075612000 Variational Methods Elective 3 0 0 8
23 9101075632013 Lines Geometry and Kinematics in Real Space Elective 3 0 0 8
24 9101075652011 Introduction to Lorentz Geometry Elective 3 0 0 8
25 9101075672013 Introduction to Logic, Proof Theory I Elective 3 0 0 8
26 9101075692006 Global Optimization I Elective 3 0 0 8
27 9101075712006 Lie Algebras Elective 3 0 0 8
28 9101075752014 Probability and Random Processes Elective 3 0 0 0
29 9101075772006 Numerical Approximation of Boundary Value Problems Elective 3 0 0 8
30 9101075792006 Inverse Sturm-Liouville Problems and Their Applications Elective 3 0 0 8
31 9101075812011 Divergent Series I Elective 3 0 0 8
32 9101075852014 Graph Theory and Complex Networks I Elective 3 0 0 8
33 9101075872014 Matrix Transformation I Elective 3 0 0 8
34 9101075892010 Nonlinear Optimization I Elective 3 0 0 8
35 9101075912013 Ideal Topological Spaces I Elective 3 0 0 8
36 9101075932013 Generalized Topology I Elective 3 0 0 8
37 9101075972015 Tauberian Theory Elective 3 0 0 8
38 9101077012014 Advanced Data Structures Elective 3 0 0 8
39 9101077062014 High-Performance Computing Elective 3 0 0 0
40 9101077132018 Fixed Point Theory I Elective 3 0 0 8
41 9101077152018 Advanced Real Analysis Elective 3 0 0 8
42 9101077172018 Positive Solutions of Nonlinear Boundary Value Problems I Elective 3 0 0 8
ELECTIVE COURSES 2
No Course Unit Code Course Unit Title Type of Course T P L ECTS
1 9101075062001 Linear Algebra Elective 3 0 0 8
2 9101075082012 Selected Topics in Ring Theory Elective 3 0 0 8
3 9101075102001 Group Representation Theory Elective 3 0 0 8
4 9101075122008 Module Theory Elective 3 0 0 8
5 9101075142007 Asymptotic Behavior of Difference Equations Elective 3 0 0 8
6 9101075162002 Geometric Design II Elective 3 0 0 8
7 9101075201998 Topology II Elective 3 0 0 8
8 9101075221998 Algebraic Topology II Elective 3 0 0 8
9 9101075242000 Introduction to Modal Logic II Elective 3 0 0 8
10 9101075261998 Graph Theory an Algorithmic Approach Elective 3 0 0 8
11 9101075282002 Extramal Problems and Special Graphs Elective 3 0 0 8
12 9101075442002 Cryptosistems Elective 3 0 0 8
13 9101075462004 Dynamic Equations on Time Scales Elective 3 0 0 8
14 9101075502000 Introduction to Homological Algebra Elective 3 0 0 8
15 9101075522000 Finite Element Methods Elective 3 0 0 8
16 9101075542012 Theory of Quaternions in Real and Dual Space Elective 3 0 0 8
17 9101075562007 Higher Differential Geometry II Elective 3 0 0 8
18 9101075582012 Lorentz Geomerty Elective 3 0 0 8
19 9101075602004 Introduction to Logic, Proof Theory II Elective 3 0 0 8
20 9101075622005 Introduction to Lattice Theory II Elective 3 0 0 8
21 9101075642005 Matroids and Encodings in Graphs Elective 3 0 0 8
22 9101075682014 Modern Group Analysis:Lie Algebra Elective 3 0 0 8
23 9101075702006 Global Optimization II Elective 3 0 0 8
24 9101075722014 Stochastik Differential Equations Elective 3 0 0 8
25 9101075762014 Matrix Transformation II Elective 3 0 0 8
26 9101075782010 Nonlinear Optimization II Elective 3 0 0 8
27 9101075802010 Classical Methods in Summability Elective 3 0 0 8
28 9101075822011 Divergent Series II Elective 3 0 0 8
29 9101075842011 BCK-Algebras Elective 3 0 0 8
30 9101075862013 Ideal Topological Spaces II Elective 3 0 0 8
31 9101075882013 Generalized Topology II Elective 3 0 0 8
32 9101077082018 Fixed Point Theory II Elective 3 0 0 8
33 9101077102018 Positive Solutions of Nonlinear Boundary Value Problems II Elective 3 0 0 8
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr