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 Master Degree in MATHEMATICS.

Specific Admission Requirements

1 - Graduate 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. 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 Master Degree programme consists of a minimum of seven courses, with a minimum of 21 national credits. 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 Master Degree in the field of Mathematics.

Graduation Requirements

The Master Degree 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. 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 Master 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
MAT 5090 Seminar Required 0 2 6
MAT 5501 DYNAMIC SYSTEMS IN TIME SCALES I Elective 3 0 6
MAT 5503 FUZZY MATHEMATICS Elective 3 0 6
MAT 5505 ALGEBRA I Elective 3 0 6
MAT 5507 SCIENTIFIC CALCULATION AND PROGRAMMING I Elective 3 0 6
MAT 5509 HYDRODYNAMICS AND APPLICATIONS Elective 3 0 6
MAT 5511 LINEAR ALGEBRA Elective 3 0 6
MAT 5513 MODULE THEORY Elective 3 0 6
MAT 5515 DIFFERENTIAL GEOMETRY Elective 3 0 6
MAT 5517 INTRODUCTION TO RIEMANN GEOMETRY Elective 3 0 6
MAT 5519 NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT 5521 DOCUMENTATION BY LATEX Elective 3 0 6
MAT 5523 COMPLEX ANALYSIS Elective 3 0 6
MAT 5525 REEL ANALYSIS Elective 3 0 6
MAT 5527 TOPOLOGICAL VECTOR SPACES I Elective 3 0 6
MAT 5529 INTRODUCTION TO HOMOLOGY ALGEBRA Elective 3 0 6
MAT 5531 ORDINARY DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT 5533 TOPOLOGY Elective 3 0 6
MAT 5535 INTRODUCTION TO ALGEBRAIC GEOMETRY I Elective 3 0 6
MAT 5537 INTRODUCTION TO ALGEBRAIC TOPOLOGY I Elective 3 0 6
MAT 5539 TOPOLOGICALCONTINUITY Elective 3 0 6
MAT 5541 COMMUNICATION NETWORKS AND VULNERABİLİTY Elective 3 0 6
MAT 5543 DISTANCE CONCEPT IN GRAPHS Elective 3 0 6
MAT 5545 DIFFERENCE EQUATIONS I Elective 3 0 6
MAT 5547 MATRIX THEORY Elective 3 0 6
MAT 5549 ALGORITHMIC APPROXIMATION PROPERTY TO GRAPH THEORY Elective 3 0 6
MAT 5551 THEORY AND APPLICATIONS OF NUMERICAL ANALYSIS Elective 3 0 6
MAT 5553 SPECIFIC FUNCTIONS AND APPROXIMATION PROPERTIES Elective 3 0 6
MAT 5555 NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT 5557 APPROXIMATE SOLUTIONS OF INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT 5559 ADVANCED THEORY OF NUMBERS Elective 3 0 6
MAT 5561 APPLIED MATHEMATIC METHODS Elective 3 0 6
MAT 5563 GRAPH THEORY I Elective 3 0 6
MAT 5565 PARTIAL DIFFERENTIAL EQUATIONS I Elective 3 0 6
MAT 5567 FOURIER ANALYSIS AND APPROXIMATION PROPERTIES Elective 3 0 6
MAT 5569 EUCLIDIAN AND NON-EUCLIDIAN GEOMETRIES Elective 3 0 6
MAT 5701 Specialization Field Course Required 4 0 6
MAT5099 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
       
1. Year - 2. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT 5502 FUZZY TOPOLOGICAL SPACES Elective 3 0 6
MAT 5504 FUZZY FUNCTIONS THEORY AND APPLICATIONS Elective 3 0 6
MAT 5506 DYNAMIC SYSTEMS IN TIME SCALES II Elective 3 0 6
MAT 5508 SPECIAL TOPICS IN LINEAR ALGEBRA Elective 3 0 6
MAT 5510 ALGEBRA II Elective 3 0 6
MAT 5512 SCIENTIFIC CALCULATION AND PROGRAMMING II Elective 3 0 6
MAT 5514 SPECIAL TOPICS IN REAL ANALYSIS Elective 3 0 6
MAT 5516 INTRODUCTION TO HILBERT SPACES Elective 3 0 6
MAT 5518 INTRODUCTION TO ALGEBRAIC GEOMETRY II Elective 3 0 6
MAT 5520 RIEMANN GEOMETRY Elective 3 0 6
MAT 5522 SPECIAL TOPICS IN DIFFERENTIAL GEOMETRY Elective 3 0 6
MAT 5524 NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS II Elective 3 0 6
MAT 5526 LATTICE THEORY Elective 3 0 6
MAT 5528 SET THEORY Elective 3 0 6
MAT 5530 FUNCTIONAL ANALYSIS Elective 3 0 6
MAT 5532 TOPOLOGICAL GROUPS Elective 3 0 6
MAT 5534 GRAPH ALGORITHMS AND OPTIMIZATION Elective 3 0 6
MAT 5536 ORIENTED GRAPHS Elective 3 0 6
MAT 5538 DENUMERABLE GRAPHS Elective 3 0 6
MAT 5540 NUMERICAL LINEAR ALGEBRA Elective 3 0 6
MAT 5542 INTRODUCTION TO ALGEBRAIC TOPOLOGY II Elective 3 0 6
MAT 5544 DIFFERENCE EQUATIONS II Elective 3 0 6
MAT 5546 GRAPH THEORY II Elective 3 0 6
MAT 5548 NUMERICAL ANALYSIS Elective 3 0 6
MAT 5550 PARTIAL DIFFERENTIAL EQUATIONS II Elective 3 0 6
MAT 5552 NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS II Elective 3 0 6
MAT 5554 SPECEIFIC FUNCTIONS AND APPROXIMATION PROPERTIES II Elective 3 0 6
MAT 5556 TOPOLOGICAL VECTOR SPACES II Elective 3 0 6
MAT 5558 INTEGRAL TRANSFORMATIONS Elective 3 0 6
MAT 5560 DIFFERENTIABLE MANIFOLDS Elective 3 0 6
MAT 5562 FOURIER AND LAPLACE TRANSFORMATIONS Elective 3 0 6
MAT 5702 Specialization Field Course Required 4 0 6
MAT6502 ABSTRACT MEASUREMENT THEORY II 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
       
2. Year - 1. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT5000 Thesis Work Required 0 0 24
MAT5703 Specialization Field Course Required 4 0 6
       
2. Year - 2. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT 5704 Specialization Field Course Required 4 0 6
       
 

Evaluation Questionnaires

Course & Program Outcomes Matrix

1. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Seminar             
DYNAMIC SYSTEMS IN TIME SCALES I5433554445544
FUZZY MATHEMATICS5443334435344
ALGEBRA I5443423335434
SCIENTIFIC CALCULATION AND PROGRAMMING I5543535245542
HYDRODYNAMICS AND APPLICATIONS5543535245542
LINEAR ALGEBRA5443333435334
MODULE THEORY5443333435334
DIFFERENTIAL GEOMETRY5423554445545
NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS5543535245542
DOCUMENTATION BY LATEX3453354453434
COMPLEX ANALYSIS4543543545435
REEL ANALYSIS4543543545435
TOPOLOGICAL VECTOR SPACES I5443433435434
INTRODUCTION TO HOMOLOGY ALGEBRA5445345435444
ORDINARY DIFFERENTIAL EQUATIONS5424554445554
TOPOLOGY5443433435434
INTRODUCTION TO ALGEBRAIC GEOMETRY I5443233454334
INTRODUCTION TO ALGEBRAIC TOPOLOGY I5443423435433
TOPOLOGICALCONTINUITY5443433435434
COMMUNICATION NETWORKS AND VULNERABİLİTY5435554445554
DISTANCE CONCEPT IN GRAPHS5435554445554
DIFFERENCE EQUATIONS I5423554445554
MATRIX THEORY5425454445554
ALGORITHMIC APPROXIMATION PROPERTY TO GRAPH THEORY5435554445554
THEORY AND APPLICATIONS OF NUMERICAL ANALYSIS5425554445544
SPECIFIC FUNCTIONS AND APPROXIMATION PROPERTIES5542435235434
NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS5425554445554
APPROXIMATE SOLUTIONS OF INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS5425544445444
ADVANCED THEORY OF NUMBERS5443423435433
APPLIED MATHEMATIC METHODS5435 54445544
GRAPH THEORY I5435554445554
PARTIAL DIFFERENTIAL EQUATIONS I5525444445355
FOURIER ANALYSIS AND APPROXIMATION PROPERTIES5542445235434
EUCLIDIAN AND NON-EUCLIDIAN GEOMETRIES5425554445544
Specialization Field Course             
Scientific Research Techniques and Publishing Ethics             
TENSOR GEOMETRY             
ADVANCED DYNAMIC SYSTEMS IN TIME SCALES             
ADVANCED ISSUES IN NUMERICAL ANALYSIS             
CODING THEORY I             
ALGEBRAIC GEOMETRY             
UNREAL GEOMETRY             
GRAPH THEORY AND APPLICATIONS             
GENERALIZED TOPOLOGICAL SPACES             
TOPOLOGICAL SPACES             
CATEGORY THEORY             
HOMOTOPY THEORY I             
ALGEBRAIC TOPOLOGY             
INTRODUCTION TO FINITE FIELDS             
THEORY OF ALGEBRAS             
HIGH DIFFERENTIAL GEOMETRY             
GROUP THEORY             
STOCHASTIC DIFFERENTIAL EQUATIONS             
MATHEMATICAL METHODS IN HYDRODYNAMICS             
DIFFERENTIAL EQUATIONS THEORY             
SINGULAR INTEGRAL EQUATIONS AND APPLICATIONS             
ELLIPTIC INTEGRALS AND ELLIPTIC FUNCTIONS             
FUZZY SET THEORY             
APPROXIMATION THEORY I             
ABSTRACT MEASUREMENT THEORY I             
SPECIAL TOPICS IN FUNCTIONAL ANALYSIS             
SPECIAL TOPICS IN NUMERICAL ANALYSIS I             
SPECIAL TOPICS IN APPLIED MATHEMATICS I             
ADVANCED SCIENTIFIC CALCULATION METHODS I             
FINITE ELEMENTS METHOD I             
              
1. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
FUZZY TOPOLOGICAL SPACES5443455434433
FUZZY FUNCTIONS THEORY AND APPLICATIONS5445555435555
DYNAMIC SYSTEMS IN TIME SCALES II5423554445544
SPECIAL TOPICS IN LINEAR ALGEBRA5443333435343
ALGEBRA II5443433335434
SCIENTIFIC CALCULATION AND PROGRAMMING II5435554445545
SPECIAL TOPICS IN REAL ANALYSIS5443423435434
INTRODUCTION TO HILBERT SPACES 443423435434
INTRODUCTION TO ALGEBRAIC GEOMETRY II5443333433334
RIEMANN GEOMETRY5423554445554
SPECIAL TOPICS IN DIFFERENTIAL GEOMETRY5423554445554
NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS II5543535245542
LATTICE THEORY5441111431114
SET THEORY5441111431114
FUNCTIONAL ANALYSIS5443423435434
TOPOLOGICAL GROUPS5443423435434
GRAPH ALGORITHMS AND OPTIMIZATION5435554445554
ORIENTED GRAPHS5435554445554
DENUMERABLE GRAPHS5435554445554
NUMERICAL LINEAR ALGEBRA5425554445545
INTRODUCTION TO ALGEBRAIC TOPOLOGY II5443423435433
DIFFERENCE EQUATIONS II5423554445554
GRAPH THEORY II5435554445554
NUMERICAL ANALYSIS5425554445544
PARTIAL DIFFERENTIAL EQUATIONS II5525444445355
NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS II5543535245542
SPECEIFIC FUNCTIONS AND APPROXIMATION PROPERTIES II5542435235434
TOPOLOGICAL VECTOR SPACES II5443423435434
INTEGRAL TRANSFORMATIONS453545 444435
DIFFERENTIABLE MANIFOLDS5423554445554
FOURIER AND LAPLACE TRANSFORMATIONS4434543454434
Specialization Field Course             
ABSTRACT MEASUREMENT THEORY II             
APPLIED FUNCTIONAL ANALYSIS             
PERTURBATION THEORY             
FINITE ELEMENTS METHOD II             
              
2. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Thesis Work              
Specialization Field Course             
              
2. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course             
              
 

Muğla Sıtkı Koçman Üniversitesi, 48000 Kötekli/Muğla | Tel: + 90 (252) 211-1000 | Fax: + 90 (252) 223-9280
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