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 endofterm 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 noncredit 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

NONLINEAR 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 NONLINEAR 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

NONCOMMUTATIVE 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 Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
SEMINAR *(POSTGRADUATE)  4  5  4  3  4  4  3  5  5  4  4  3  5 
Scientific Research Techniques and Publishing Ethics  4  5  4  3  4  4  3  5  5  4  4  3  5 
TENSOR GEOMETRY  5  4  3  5  4  3  5  4  3  5  4  3  5 
ADVANCED DYNAMIC SYSTEMS IN TIME SCALES  4  5  5  5  5  4  4  4  3  3  3  3  3 
ADVANCED ISSUES IN NUMERICAL ANALYSIS  5  5  3  4  5  4  3  3  3  4  5  4  3 
CODING THEORY I  5  3  4  3  4  5  4  3  4  3  3  4  5 
ALGEBRAIC GEOMETRY  3  3  4  4  5  5  4  4  3  3  5  5  4 
UNREAL GEOMETRY  5  4  3  3  4  5  3  3  5  4  3  5  4 
GRAPH THEORY AND APPLICATIONS  5  5  5  3  4  2  3  4  2  5  4  4  4 
GENERALIZED TOPOLOGICAL SPACES  4  3  3  5  4  5  3  4  5  3  4  5  4 
TOPOLOGICAL SPACES  3  4  5  5  5  4  4  3  3  4  5  4  3 
CATEGORY THEORY  5  4  2  5  5  5  4  4  4  5  5  4  5 
HOMOTOPY THEORY I  5  4  4  4  5  3  4  4  3  3  3  3  4 
ALGEBRAIC TOPOLOGY   3  5  3  5  4  5  3  4  5  4  5  4 
INTRODUCTION TO FINITE FIELDS  5  4  3  4  5  4  3  4  5  4  3  5  4 
THEORY OF ALGEBRAS  4  3  3  4  5  5  5  3  3  3  4  4  5 
HIGH DIFFERENTIAL GEOMETRY  3  3  5  4  3  4  3  5  5  4  4  4  4 
GROUP THEORY  5  4  5  3  4  5  4  4  5  4  3  4  5 
STOCHASTIC DIFFERENTIAL EQUATIONS  5  4  5  4  3  5  4  5  4  3  5  4  5 
MATHEMATICAL METHODS IN HYDRODYNAMICS  3  4  5  4  3  5  4  5  3  3  3  4  5 
DIFFERENTIAL EQUATIONS THEORY  4  4  4  4  3  3  4  5  5  4  5  3  3 
SINGULAR INTEGRAL EQUATIONS AND APPLICATIONS  5  5  4  4  3  3  5  5  4  4  3  3  5 
ELLIPTIC INTEGRALS AND ELLIPTIC FUNCTIONS  4  4  3  3  5  5  4  4  5  5  3  3  5 
FUZZY SET THEORY  4  4  3  3  5  4  5  3  4  5  3  3  4 
APPROXIMATION THEORY I  4  3  4  3  4  5  5  3  3  4  5  5  4 
ABSTRACT MEASUREMENT THEORY I  5  5  4  4  3  3  5  5  4  4  3  3  5 
SPECIAL TOPICS IN FUNCTIONAL ANALYSIS  5  4  4  4  5  3  4  3  4  5  3  4  4 
SPECIAL TOPICS IN NUMERICAL ANALYSIS I  5  4  3  4  4  5  4  3  3  4  5  4  3 
SPECIAL TOPICS IN APPLIED MATHEMATICS I  3  4  5  5  5  4  4  4  4  3  4  3  4 
ADVANCED SCIENTIFIC CALCULATION METHODS I  4  3  3  5  4  3  3  4  4  5  4  3  4 
FINITE ELEMENTS METHOD I  5  4  3  5  4  3  5  4  3  5  4  3  5 
Specialization Field Course  4  5  4  3  4  4  3  5  5  4  4  3  5 
             

1. Year
 2. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
ABSTRACT MEASUREMENT THEORY II  3  4  5  5  4  5  5  4  4  3  3  5  4 
ADVANCED PARTIAL DIFFERENTIAL EQUATIONS  3  5  4  4  5  3  3  5  3  4  5  4  4 
NONLINEAR INTEGRAL AND INTEGRO DIFFERENTIAL EQUATIONS  3  4  5  5   4  3  3  3  4  5  3  3 
APPLIED FUNCTIONAL ANALYSIS  4  4  4  3  3  3  5  5  5  4  4  4  4 
PERTURBATION THEORY  4  4  4  5  5  5  4  4  5  5  4  3  4 
FINITE ELEMENTS METHOD II  3  4  5  3  4  5  5  4  3  4  5  4  5 
CODING THEORY II  3  4  5  4  3  3  4  4  5  3  4  4  3 
ITERATION METHODS IN LINEAR AND NONLINEAR EQUATIONS  5  5  5  4  4  4  3  5  4  3  5  4  4 
NUMERICAL SOLUTIONS IN HYDRODYNAMICS  5  4  2  5  3  5  4  4  4  5  5  4  5 
SPECIAL TOPICS IN COMPLEX ANALYSIS  3  5  4  4  3  5  4  4  3  5  4  4  4 
ADVANCED TOPOLOGY  3  3  4  4  5  4  5  3  5  4  4  3  3 
ORTHOGONAL POLYNOMIALS  3  4  5  5  5  5  4  5  5  4  5  4  5 
HOMOTOPY THEORY II  3  4  5  4  5  3  3  3  4  4  5  3  4 
SPECIAL TOPICS IN ALGEBRAIC TOPOLOGY  3  4  3  4  3  5  5  4  3  5  4  3  4 
DIFFERENTIAL GEOMETRY THEORY AND APPLICATIONS  3  4  3  5  4  3  3  4  5  4  5  5  3 
MOTION GEOMETRY  5  4  3  5  4  3  3  5  4  4  3  5  4 
COMMUTATIVE RINGS THEORY  4  5  4  3  4  3  3  3  3  4  5  4  4 
APPLICATIONS OF FINITE FIELDS  5  5  5  5  4  4  4  5  5  4  5  4  3 
ALGEBRAIC NUMBERS THEORY  3  5  4  4  4  3  3  3  5  4  3  5  4 
GROUP NOTATION  5  4  3  3  4  5  4  3  3  4  5  4  3 
SPECIAL TOPICS IN ALGEBRAIC GEOMETRY  5  4  4  3  3  4  3  4  3  5  4  3  4 
NONCOMMUTATIVE RINGS THEORY  5  4  4  3  3  3  4  5  4  4  4  3  3 
APPROXIMATION THEORY II  3  4  3  4  5  3  4  4  4  5  5  5  5 
IDEAL TOPOLOGICAL SPACES  3  5  4  4  3  5  3  4  3  5   3  4 
HOMOLOGICAL ALGEBRA  3  5  4  3  4  4  5  3  4  3  5  4  4 
SPECIAL TOPICS IN NUMERICAL ANALYSIS II  5  5  4  4  5  4  5  3  5  5  3  5  5 
SPECIAL TOPICS IN APPLIED MATHEMATICS II  5  5  4  4  3  3  4  5  5  4  3  4  5 
ADVANCED SCIENTIFIC CALCULATION METHODS II  3  5  4  4  3  5  4  3  4  5  3  4  3 
Specialization Field Course  4  5  4  3  4  4  3  5  5  4  4  3  5 
             

2. Year
 1. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
Specialization Field Course  4  5  4  3  4  4  3  5  5  4  4  3  5 
Preparation for the qualification examination  4  5  4  3  4  4  3  5  5  4  4  3  5 
             

2. Year
 2. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
Specialization Field Course  4  5  4  3  4  4  3  5  5  4  4  3  5 
Thesis Proposal  4  5  4  3  4  4  3  5  5  4  4  3  5 
             

3. Year
 1. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
Specialization Field Course  4  5  4  3  4  4  3  5  5  4  4  3  5 
Thesis Work (1.TİK)  4  5  3  5  4  5  5  4  3  5  4  4  3 
             

3. Year
 2. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
Specialization Field Course  4  5  4  3  4  4  3  5  5  4  4  3  5 
Thesis Work (2.TİK)  4  5  4  3  4  4  3  5  5  4  4  3  5 
             

4. Year
 1. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
Specialization Field Course  4  5  4  3  4  4  3  5  5  4  4  3  5 
Thesis Work (3.TİK)  4  5  4  3  4  4  3  5  5  4  4  3  5 
             

4. Year
 2. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
Thesis Work (Thesis Defense)  4  5  4  5  4  4  5  5  4  5  4  4  5 
Specialization Field Course  4  5  4  3  4  4  3  5  5  4  4  3  5 
             

