Türkçe
Graduate School Of Natural And Applied Sciences Mathematics

Qualification Awarded

The students who have graduated from the Department of Mathematics are awarded with a Doctor of Philosophy Degree (Ph.D) in MATHEMATICS.

Specific Admission Requirements

1 - Master's Degree in acceptable fields, 2 - Sufficient score from the National Academic Staff & Graduate Education Exam (at least 70) (ALES), 3 - English proficiency (at least taking 55 from YDS)

Qualification Requirements

The programme consists of a minimum of 7 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 PhD students are required to take the Doctoral Qualifying Examination, after having successfully completed taught courses. The examination consists of written and oral parts. The Doctoral Qualifying Committee determines by absolute majority whether a candidate has passed or failed the examination. 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.

Recognition of Prior Learning

Recognition of prior learning is at the beginning stage in the Turkish Higher Education System. Mugla Sıtkı Koçman University and hence the Department of Mathematics is no exception to this. However, exams of exemption are organised at the start of each term at the University for courses compulsory in the curriculum, such as Foreign Languages and Basic Computing. The students who have completed the learning process for these courses on his/her own or through other means, and believe that they have achieved the learning outcomes specified are given the right to take the exemption exam. The students who achieve a passing grade from these exams are held exempt from the related course in the curriculum, and this grade is entered into the transcript of the student.

History

The Department of Mathematics was founded as a major within the Faculty of Arts and Science in 1992. There are two formal education programs in the Department of Mathematics, primary and secondary education. Moreover, there are also Master's and PhD programs in our Department. The Department of Mathematics have five divisions: Algebra and Number Theory, Topology, Analysis and Theory of Functions, Geometry, Applied Mathematics.

Profile of the Programme

The Department of Mathematics offers graduate courses to its own graduate students and to graduate students in other departments. In the Mathematics Department the work done on theses is based on research. Depending on the topic selected, the thesis topic could involve research into algebra, differential geometry, functional analysis, numerical analysis, ordinary differential equations, partial differential equations, fuzzy and soft set theory, graph theory.

Program Outcomes

1- To be able to develop their knowledge of theory and applications at master degree depending on the competencies acquired in undergraduate level.
2- To be able to recognize different problems encountered in mathematics and to be able to make studies for their solutions
3- To be able to formulate new solutions with scientific methods mostly based on analysis and synthesis.
4- To be able to carry out his/her works either independently or in groups within a project considering his/her knowledge on the field he/she works in a critical approach
5- To be able to continue his/her works considering social, scientific and ethical values.
6- To be able to follow scientific and social developments related to his/her field.
7- To be able to carry out his/her works within the framework of quality management, workplace safety and environmental awareness and to be able to present systematically his/her works using various methods like written, oral or visual.
8- To be able to use methods of accessing knowledge effectively in accordance with ethical values.
9- To be able to use knowledge in other disciplines by combining it with mathematical information
10- To be able to make activities in the awareness of need for lifelong learning.
11- To be able to make connections between mathematical and social concepts and produce solutions with scientific methods.
12- To be able to use his/her mathematical knowledge in technology
13- Be 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.

Exam Regulations & Assesment & Grading

The doctorate programme consists of a minimum of seven courses, with a minimum of 21 national credits, a qualifying examination, a dissertation proposal, and a dissertation. . Each course is assessed via a midterm exam and a final end-of-term exam, with contributions of 40%, 60% respectively. Student must achieve a CGPA of at least 2.5 out of 4.00 and prepared and successfully defended a thesis are given Doctor of Philosophy Degree (Ph.D) in the field of Mathematics.

Graduation Requirements

The doctorate programme consists of a minimum of seven courses, with a minimum of 21 national credits, a qualifying examination, a dissertation proposal, and a dissertation. The seminar course and thesis are non-credit and graded on a pass/fail basis. The total ECTS credits of the programme is 240 ECTS. The PhD students are required to take the Doctoral Qualifying Examination, after having successfully completed taught courses. The examination consists of written and oral parts. The Doctoral Qualifying Committee determines by absolute majority whether a candidate has passed or failed the examination. 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.

Occupational Profiles of Graduates

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 succesfully completed doctorate degree may apply to both in the same or related disciplines in higher education institutions at home or abroad to get a position in academic staff or to governmental R&D centres to get expert position.

Mode of Study

Formal education

Programme Director

Prof.Dr. Mustafa GÜLSU

ECTS Coordinator

Asist Prof.Dr. Gamze YÜKSEL

Course Structure Diagram with Credits

1. Year - 1. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT6090 SEMINAR *(POSTGRADUATE) Required 0 2 6
MAT6099 Scientific Research Techniques and Publishing Ethics Required 3 0 6
MAT6501 TENSOR GEOMETRY Elective 3 0 6
MAT6503 ADVANCED DYNAMIC SYSTEMS IN TIME SCALES Elective 3 0 6
MAT6505 ADVANCED ISSUES IN NUMERICAL ANALYSIS Elective 3 0 6
MAT6507 CODING THEORY I Elective 3 0 6
MAT6509 ALGEBRAIC GEOMETRY Elective 3 0 6
MAT6511 UNREAL GEOMETRY Elective 3 0 6
MAT6513 GRAPH THEORY AND APPLICATIONS Elective 3 0 6
MAT6515 GENERALIZED TOPOLOGICAL SPACES Elective 3 0 6
MAT6517 TOPOLOGICAL SPACES Elective 3 0 6
MAT6519 CATEGORY THEORY Elective 3 0 6
MAT6521 HOMOTOPY THEORY I Elective 3 0 6
MAT6523 ALGEBRAIC TOPOLOGY Elective 3 0 6
MAT6525 INTRODUCTION TO FINITE FIELDS Elective 3 0 6
MAT6527 THEORY OF ALGEBRAS Elective 3 0 6
MAT6529 HIGH DIFFERENTIAL GEOMETRY Elective 3 0 6
MAT6531 GROUP THEORY Elective 3 0 6
MAT6533 STOCHASTIC DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT6535 MATHEMATICAL METHODS IN HYDRODYNAMICS Elective 3 0 6
MAT6537 DIFFERENTIAL EQUATIONS THEORY Elective 3 0 6
MAT6539 SINGULAR INTEGRAL EQUATIONS AND APPLICATIONS Elective 3 0 6
MAT6541 ELLIPTIC INTEGRALS AND ELLIPTIC FUNCTIONS Elective 3 0 6
MAT6543 FUZZY SET THEORY Elective 3 0 6
MAT6545 APPROXIMATION THEORY I Elective 3 0 6
MAT6547 ABSTRACT MEASUREMENT THEORY I Elective 3 0 6
MAT6549 SPECIAL TOPICS IN FUNCTIONAL ANALYSIS Elective 3 0 6
MAT6551 SPECIAL TOPICS IN NUMERICAL ANALYSIS I Elective 3 0 6
MAT6553 SPECIAL TOPICS IN APPLIED MATHEMATICS I Elective 3 0 6
MAT6555 ADVANCED SCIENTIFIC CALCULATION METHODS I Elective 3 0 6
MAT6557 FINITE ELEMENTS METHOD I Elective 3 0 6
MAT6701 Specialization Field Course Required 4 0 6
       
1. Year - 2. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT6502 ABSTRACT MEASUREMENT THEORY II Elective 3 0 6
MAT6504 ADVANCED PARTIAL DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT6506 NON-LINEAR INTEGRAL AND INTEGRO DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT6508 APPLIED FUNCTIONAL ANALYSIS Elective 3 0 6
MAT6510 PERTURBATION THEORY Elective 3 0 6
MAT6512 FINITE ELEMENTS METHOD II Elective 3 0 6
MAT6514 CODING THEORY II Elective 3 0 6
MAT6516 ITERATION METHODS IN LINEAR AND NON-LINEAR EQUATIONS Elective 3 0 6
MAT6518 NUMERICAL SOLUTIONS IN HYDRODYNAMICS Elective 3 0 6
MAT6520 SPECIAL TOPICS IN COMPLEX ANALYSIS Elective 3 0 6
MAT6522 ADVANCED TOPOLOGY Elective 3 0 6
MAT6524 ORTHOGONAL POLYNOMIALS Elective 3 0 6
MAT6526 HOMOTOPY THEORY II Elective 3 0 6
MAT6528 SPECIAL TOPICS IN ALGEBRAIC TOPOLOGY Elective 3 0 6
MAT6530 DIFFERENTIAL GEOMETRY THEORY AND APPLICATIONS Elective 3 0 6
MAT6532 MOTION GEOMETRY Elective 3 0 6
MAT6534 COMMUTATIVE RINGS THEORY Elective 3 0 6
MAT6536 APPLICATIONS OF FINITE FIELDS Elective 3 0 6
MAT6540 ALGEBRAIC NUMBERS THEORY Elective 3 0 6
MAT6542 GROUP NOTATION Elective 3 0 6
MAT6544 SPECIAL TOPICS IN ALGEBRAIC GEOMETRY Elective 3 0 6
MAT6546 NON-COMMUTATIVE RINGS THEORY Elective 3 0 6
MAT6548 APPROXIMATION THEORY II Elective 3 0 6
MAT6550 IDEAL TOPOLOGICAL SPACES Elective 3 0 6
MAT6552 HOMOLOGICAL ALGEBRA Elective 3 0 6
MAT6554 SPECIAL TOPICS IN NUMERICAL ANALYSIS II Elective 3 0 6
MAT6556 SPECIAL TOPICS IN APPLIED MATHEMATICS II Elective 3 0 6
MAT6558 ADVANCED SCIENTIFIC CALCULATION METHODS II Elective 3 0 6
MAT6702 Specialization Field Course Required 4 0 6
       
2. Year - 1. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT6703 Specialization Field Course Required 4 0 6
MAT6800 Preparation for the qualification examination Required 0 0 24
       
2. Year - 2. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT6704 Specialization Field Course Required 4 0 6
MAT6900 Thesis Proposal Required 0 0 24
       
3. Year - 1. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT6705 Specialization Field Course Required 4 0 6
MAT6901 Thesis Work (1.TİK) Required 0 0 24
       
3. Year - 2. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT6706 Specialization Field Course Required 4 0 6
MAT6902 Thesis Work (2.TİK) Required 0 0 24
       
4. Year - 1. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT6707 Specialization Field Course Required 4 0 6
MAT6903 Thesis Work (3.TİK) Required 0 0 24
       
4. Year - 2. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT6708 Specialization Field Course Required 4 0 6
MAT6904 Thesis Work (Thesis Defense) Required 0 0 24
       
 

Evaluation Questionnaires

Course & Program Outcomes Matrix

1. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
SEMINAR *(POSTGRADUATE)             
Scientific Research Techniques and Publishing Ethics             
TENSOR GEOMETRY5435435435435
ADVANCED DYNAMIC SYSTEMS IN TIME SCALES4555544433333
ADVANCED ISSUES IN NUMERICAL ANALYSIS5534543334543
CODING THEORY I5343454343345
ALGEBRAIC GEOMETRY3344554433554
UNREAL GEOMETRY5433453354354
GRAPH THEORY AND APPLICATIONS5553423425444
GENERALIZED TOPOLOGICAL SPACES4335453453454
TOPOLOGICAL SPACES3455544334543
CATEGORY THEORY5425554445545
HOMOTOPY THEORY I5 44534433334
ALGEBRAIC TOPOLOGY4353545345454
INTRODUCTION TO FINITE FIELDS5434543454354
THEORY OF ALGEBRAS4334555333445
HIGH DIFFERENTIAL GEOMETRY3354343554444
GROUP THEORY5453454454345
STOCHASTIC DIFFERENTIAL EQUATIONS5454354543545
MATHEMATICAL METHODS IN HYDRODYNAMICS3454354533345
DIFFERENTIAL EQUATIONS THEORY4444334554533
SINGULAR INTEGRAL EQUATIONS AND APPLICATIONS5544335544335
ELLIPTIC INTEGRALS AND ELLIPTIC FUNCTIONS4433554455335
FUZZY SET THEORY4433545345334
APPROXIMATION THEORY I4343455334554
ABSTRACT MEASUREMENT THEORY I5544335544335
SPECIAL TOPICS IN FUNCTIONAL ANALYSIS5444534345344
SPECIAL TOPICS IN NUMERICAL ANALYSIS I5434454334543
SPECIAL TOPICS IN APPLIED MATHEMATICS I3455544443434
ADVANCED SCIENTIFIC CALCULATION METHODS I4335433445434
FINITE ELEMENTS METHOD I5435435 35435
Specialization Field Course             
              
1. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
ABSTRACT MEASUREMENT THEORY II3455455443354
ADVANCED PARTIAL DIFFERENTIAL EQUATIONS3544533534544
NON-LINEAR INTEGRAL AND INTEGRO DIFFERENTIAL EQUATIONS3455443334533
APPLIED FUNCTIONAL ANALYSIS4443335554444
PERTURBATION THEORY4445554455434
FINITE ELEMENTS METHOD II3453455434545
CODING THEORY II3454334453443
ITERATION METHODS IN LINEAR AND NON-LINEAR EQUATIONS5554443543544
NUMERICAL SOLUTIONS IN HYDRODYNAMICS5425354445545
SPECIAL TOPICS IN COMPLEX ANALYSIS3544354435444
ADVANCED TOPOLOGY3344545354433
ORTHOGONAL POLYNOMIALS3455554554545
HOMOTOPY THEORY II3454533344534
SPECIAL TOPICS IN ALGEBRAIC TOPOLOGY3434355435434
DIFFERENTIAL GEOMETRY THEORY AND APPLICATIONS3435433454553
MOTION GEOMETRY5435433544354
COMMUTATIVE RINGS THEORY4543433334544
APPLICATIONS OF FINITE FIELDS5555444554543
ALGEBRAIC NUMBERS THEORY3544433354354
GROUP NOTATION54334543345 3
SPECIAL TOPICS IN ALGEBRAIC GEOMETRY5443343435434
NON-COMMUTATIVE RINGS THEORY5443334544433
APPROXIMATION THEORY II3434534445555
IDEAL TOPOLOGICAL SPACES3544353435434
HOMOLOGICAL ALGEBRA3543445343544
SPECIAL TOPICS IN NUMERICAL ANALYSIS II5544545355355
SPECIAL TOPICS IN APPLIED MATHEMATICS II5544334554345
ADVANCED SCIENTIFIC CALCULATION METHODS II3544354345343
Specialization Field Course             
              
2. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course             
Preparation for the qualification examination             
              
2. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course             
Thesis Proposal             
              
3. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course             
Thesis Work (1.TİK)             
              
3. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course             
Thesis Work (2.TİK)             
              
4. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course             
Thesis Work (3.TİK)             
              
4. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course             
Thesis Work (Thesis Defense)             
              
 

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