Türkçe
Graduate School Of Natural And Applied Sciences Mathematics

Qualification Awarded

Ph.D. in Mathematics

Specific Admission Requirements

Applicants applying to undergraduate programs with a bachelor's degree must have a grade of at least 3.00 out of 4 full grades and a minimum grade of 80 on a full marks or an equivalent graduation grade in a department of science approved by EABDB and EYK. At least 80 standard points from ALES, or at least equivalent from one of the exams accepted by the Interuniversity, at least 55 points from YDS or from YÖKDİL, and they must have at least an equivalent score in international foreign language exams. Candidates applying with a master's degree to PhD programs have a master's degree in a science approved by EABDK and approved by the EYK; and at least 55 standard points from ALES, or one of the exams accepted by the Interuniversary Board. They must have at least 55 points from YDS or YÖKDİL, and have obtained at least equivalent scores from national and international foreign language examinations which are accepted as validity by the Interuniversity Board. Success score; 50% of the ALES score is calculated by adding 20% ??of the undergraduate / graduate grade point average and 30% of the written exam grade.The conversion table of YÖK is used to determine the equivalents of GNOs in the system. The achievement score is determined by the Senate not to be less than 65 for doctoral candidates.

Qualification Requirements

Ph.D. program, not less than 21 credits for students admitted with a master's degree with thesis and not less than 60 ECTS for one academic year, minimum seven courses, seminar, proficiency exam, thesis proposal and thesis work ECTS credits

Recognition of Prior Learning

Students are admitted to the quota determined at the beginning of the academic year according to their academic success. The student has to meet the requirements of admission and success, and must have achieved all the courses in the program in which he / she came. Application for horizontal transfers is made on the dates specified in the academic calendar. The admission and orientation of the student is determined by EYK with EABDB / EASDB proposal.

History

Department of Mathematics was established in 1992 within the Faculty of Arts and Sciences. In addition to our four-year undergraduate program, our department also has master and doctorate programs. Our Ph.D. Program has been in operation since 2006 -2007 academic year. In our department, there are 6 Departments of Analysis and Functions Theory, Algebra and Number Theory, Geometry, Topology, Applied Mathematics and Mathematics Fundamentals and Logic.

Profile of the Programme

In addition to the traditional fields of application in the physical sciences, the increasing use of mathematics in the fields of new knowledge such as biology and social sciences is rapidly developing and expanding. Especially the recent developments in computer technology in the last few years have led to the emergence of new mathematical disciplines. The Department of Mathematics offers a doctoral program designed to prepare students for mathematics or natural sciences, social sciences and related fields of engineering, taking these facts into consideration. PhD program; It provides a good foundation for students wishing to pursue careers in science, technology, business or government related fields where education, research or mathematics are important. As of the academic year of 2018-2019, there are 1 Professor, 5 Associate Professor, 5 Research Assistant, 2 Research Assistant Doctor and 5 Research Assistants in our department. The doctoral program is eight semesters for those admitted with a master's degree with thesis except for the time spent in scientific preparation, and the maximum completion time is twelve semesters. It is ten semesters for those admitted with a Bachelor's degree and the maximum completion time is fourteen semesters. Students who have applied to the doctoral program with a bachelor's degree, or who cannot complete their thesis study within the maximum period, who are not successful in their doctoral thesis, are awarded a master's degree without thesis if they have fulfilled the required credit load, project and other conditions for the non-thesis master's degree.

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

Students are obliged to attend all theory and practice courses, laboratory studies and exams in education programs.Attendance status is monitored and recorded by the instructor. Each semester, at least one midterm and final exam are given. Students who do not take the exam for a valid reason have the right to take the make-up exam if they are accepted by the Graduate School Administrative Board. Year-end exams are held at the places and dates announced by the department. Student assessment methods can take different forms for each course. Evaluation is generally based on open or closed exams, reports, homework, small written exams, seminar presentations or oral examinations, laboratory or workshop performance. The instructor may also take into account the attendance status of the student in addition to his / her performance and exams.Courses which do not require mid-term and final exams are determined by the department. In such cases, the semester grade is given according to the student's semester performance. Exams; mid-term, final exam and make-up exams. In order for the student to take the final exam; at least 70% of theoretical courses and 80% of laboratories and applications.In order for the student to take the final exam; at least 70% of theoretical courses and at least 80% of laboratory and applications.Exams; written, oral, written-applied and oral-applied. For each course, at least one midterm exam is held in the related semester. The mid-term and final grade grades are decided by EYK at the beginning of each semester with the recommendation of the instructors who have the doctoral degree determined by the Senate. Students can take the proficiency exam twice a year in the fall and spring semesters. The student who is accepted with a master's degree is required to take the proficiency exam until the end of the seventh semester. The proficiency exams are organized and conducted by the doctoral qualification committee of the EABDB proposal and assigned by the Board of Higher Education (EYK) for the duration of the assignment. Doctorate proficiency exam is conducted in two sections, written and oral. Questions and questions asked in oral and written exams are taken into account. Written exam success can be evaluated with grade.

Graduation Requirements

In order to complete the program, at least 7 courses must be successfully completed (seminar, proficiency exam, thesis proposal and thesis work).

Occupational Profiles of Graduates

Graduates of the Department of Mathematics are employed in many areas related to their profession in the public and private sectors. In addition, when many graduates meet the necessary requirements in the fields of as a lecturer.

Access to Further Studies

Graduates who have successfully completed the PhD program may apply for an academic position to higher education institutions in the same or similar fields, or to a specialist position in research centers in public institutions.

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
MAT6000 Thesis Work (Thesis Defense) Required 0 0 24
MAT6708 Specialization Field Course Required 4 0 6
       
 

Evaluation Questionnaires

Course & Program Outcomes Matrix

1. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
SEMINAR *(POSTGRADUATE)4543443554435
Scientific Research Techniques and Publishing Ethics4543443554435
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 I5444534433334
ALGEBRAIC TOPOLOGY4353545345454
INTRODUCTION TO FINITE FIELDS5 34543454354
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 I5435435435435
Specialization Field Course4543443554435
              
1. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
ABSTRACT MEASUREMENT THEORY II3455455443354
ADVANCED PARTIAL DIFFERENTIAL EQUATIONS3544533534544
NON-LINEAR INTEGRAL AND INTEGRO DIFFERENTIAL EQUATIONS3455443334533
APPLIED FUNCTIONAL ANALYSIS44433 5554444
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 NOTATION5433454334543
SPECIAL TOPICS IN ALGEBRAIC GEOMETRY5443343435434
NON-COMMUTATIVE RINGS THEORY5443334544433
APPROXIMATION THEORY II3434534445555
IDEAL TOPOLOGICAL SPACES3544353435434
HOMOLOGICAL ALGEBRA35434453435 4
SPECIAL TOPICS IN NUMERICAL ANALYSIS II5544545355355
SPECIAL TOPICS IN APPLIED MATHEMATICS II5544334554345
ADVANCED SCIENTIFIC CALCULATION METHODS II3544354345343
Specialization Field Course4543443554435
              
2. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course4543443554435
Preparation for the qualification examination4543443554435
              
2. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course4543443554435
Thesis Proposal4543443554435
              
3. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course4543443554435
Thesis Work (1.TİK)4535455435443
              
3. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course4543443554435
Thesis Work (2.TİK)4543443554435
              
4. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course4543443554435
Thesis Work (3.TİK)4543443554435
              
4. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Thesis Work (Thesis Defense)4545445545445
Specialization Field Course4543443554435
              
 

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