Graduate School Of Natural And Applied Sciences Master of Science Programme in 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

Associate 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
MAT5090 Seminar Required 0 2 6
MAT5501 DYNAMIC SYSTEMS IN TIME SCALES I Elective 3 0 6
MAT5503 FUZZY MATHEMATICS Elective 3 0 6
MAT5505 ALGEBRA I Elective 3 0 6
MAT5507 SCIENTIFIC CALCULATION AND PROGRAMMING I Elective 3 0 6
MAT5509 HYDRODYNAMICS AND APPLICATIONS Elective 3 0 6
MAT5511 LINEAR ALGEBRA Elective 3 0 6
MAT5513 MODULE THEORY Elective 3 0 6
MAT5515 DIFFERENTIAL GEOMETRY Elective 3 0 6
MAT5517 INTRODUCTION TO RIEMANN GEOMETRY Elective 3 0 6
MAT5519 NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT5521 DOCUMENTATION BY LATEX Elective 3 0 6
MAT5523 COMPLEX ANALYSIS Elective 3 0 6
MAT5525 REEL ANALYSIS Elective 3 0 6
MAT5527 TOPOLOGICAL VECTOR SPACES I Elective 3 0 6
MAT5529 INTRODUCTION TO HOMOLOGY ALGEBRA Elective 3 0 6
MAT5531 ORDINARY DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT5533 TOPOLOGY Elective 3 0 6
MAT5535 INTRODUCTION TO ALGEBRAIC GEOMETRY I Elective 3 0 6
MAT5537 INTRODUCTION TO ALGEBRAIC TOPOLOGY I Elective 3 0 6
MAT5539 TOPOLOGICAL CONTINUITY Elective 3 0 6
MAT5541 COMMUNICATION NETWORKS AND VULNERABİLİTY Elective 3 0 6
MAT5543 DISTANCE CONCEPT IN GRAPHS Elective 3 0 6
MAT5545 DIFFERENCE EQUATIONS I Elective 3 0 6
MAT5547 MATRIX THEORY Elective 3 0 6
MAT5549 ALGORITHMIC APPROXIMATION PROPERTY TO GRAPH THEORY Elective 3 0 6
MAT5551 THEORY AND APPLICATIONS OF NUMERICAL ANALYSIS Elective 3 0 6
MAT5553 SPECIFIC FUNCTIONS AND APPROXIMATION PROPERTIES Elective 3 0 6
MAT5555 NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT5557 APPROXIMATE SOLUTIONS OF INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT5559 ADVANCED THEORY OF NUMBERS Elective 3 0 6
MAT5561 APPLIED MATHEMATIC METHODS Elective 3 0 6
MAT5563 GRAPH THEORY I Elective 3 0 6
MAT5565 PARTIAL DIFFERENTIAL EQUATIONS I Elective 3 0 6
MAT5567 FOURIER ANALYSIS AND APPROXIMATION PROPERTIES Elective 3 0 6
MAT5569 EUCLIDIAN AND NON-EUCLIDIAN GEOMETRIES Elective 3 0 6
MAT5570 INTRODUCTION TO FINITE FIELDS Elective 3 0 6
MAT5571 Homotopi Teorisi II Elective 3 0 6
MAT5572 THEORY OF ALGEBRAS Elective 3 0 6
MAT5573 Cebirsel Topolojiden Seçme Konular Elective 3 0 6
MAT5576 GROUP THEORY Elective 3 0 6
MAT5577 Hareket Geometrisi Elective 3 0 6
MAT5578 STOCHASTIC DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT5579 Değişmeli Halkalar Teorisi Elective 3 0 6
MAT5580 MATHEMATICAL METHODS IN HYDRODYNAMICS Elective 3 0 6
MAT5581 Sonlu Cisimlerin Uygulamaları Elective 3 0 6
MAT5582 DIFFERENTIAL EQUATIONS THEORY Elective 3 0 6
MAT5583 SINGULAR INTEGRAL EQUATIONS AND APPLICATIONS Elective 3 0 6
MAT5585 ELLIPTIC INTEGRALS AND ELLIPTIC FUNCTIONS Elective 3 0 6
MAT5587 FUZZY SET THEORY Elective 3 0 6
MAT5589 APPROXIMATION THEORY I Elective 3 0 6
MAT5591 ABSTRACT MEASUREMENT THEORY I Elective 3 0 6
MAT5601 TENSOR GEOMETRY Elective 3 0 6
MAT5603 ADVANCED DYNAMIC SYSTEMS IN TIME SCALES Elective 3 0 6
MAT5605 ADVANCED ISSUES IN NUMERICAL ANALYSIS Elective 3 0 6
MAT5607 CODING THEORY I Elective 3 0 6
MAT5609 ALGEBRAIC GEOMETRY Elective 3 0 6
MAT5611 UNREAL GEOMETRY Elective 3 0 6
MAT5613 GRAPH THEORY AND APPLICATIONS Elective 3 0 6
MAT5615 GENERALIZED TOPOLOGICAL SPACES Elective 3 0 6
MAT5617 TOPOLOGICAL SPACES Elective 3 0 6
MAT5619 CATEGORY THEORY Elective 3 0 6
MAT5621 HOMOTOPY THEORY I Elective 3 0 6
MAT5623 ALGEBRAIC TOPOLOGY Elective 3 0 6
MAT5701 Specialization Field Course Required 4 0 6
       
1. Year - 2. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT5502 FUZZY TOPOLOGICAL SPACES Elective 3 0 6
MAT5504 FUZZY FUNCTIONS THEORY AND APPLICATIONS Elective 3 0 6
MAT5506 DYNAMIC SYSTEMS IN TIME SCALES II Elective 3 0 6
MAT5510 ALGEBRA II Elective 3 0 6
MAT5512 SCIENTIFIC CALCULATION AND PROGRAMMING II Elective 3 0 6
MAT5518 INTRODUCTION TO ALGEBRAIC GEOMETRY II Elective 3 0 6
MAT5520 RIEMANN GEOMETRY Elective 3 0 6
MAT5522 SPECIAL TOPICS IN DIFFERENTIAL GEOMETRY Elective 3 0 6
MAT5524 NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS II Elective 3 0 6
MAT5528 SET THEORY Elective 3 0 6
MAT5530 FUNCTIONAL ANALYSIS Elective 3 0 6
MAT5532 TOPOLOGICAL GROUPS Elective 3 0 6
MAT5534 GRAPH ALGORITHMS AND OPTIMIZATION Elective 3 0 6
MAT5536 ORIENTED GRAPHS Elective 3 0 6
MAT5538 DENUMERABLE GRAPHS Elective 3 0 6
MAT5540 NUMERICAL LINEAR ALGEBRA Elective 3 0 6
MAT5542 INTRODUCTION TO ALGEBRAIC TOPOLOGY II Elective 3 0 6
MAT5544 DIFFERENCE EQUATIONS II Elective 3 0 6
MAT5546 GRAPH THEORY II Elective 3 0 6
MAT5548 NUMERICAL ANALYSIS Elective 3 0 6
MAT5550 PARTIAL DIFFERENTIAL EQUATIONS II Elective 3 0 6
MAT5552 NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS II Elective 3 0 6
MAT5554 SPECEIFIC FUNCTIONS AND APPROXIMATION PROPERTIES II Elective 3 0 6
MAT5556 TOPOLOGICAL VECTOR SPACES II Elective 3 0 6
MAT5558 INTEGRAL TRANSFORMATIONS Elective 3 0 6
MAT5560 DIFFERENTIABLE MANIFOLDS Elective 3 0 6
MAT5562 FOURIER AND LAPLACE TRANSFORMATIONS Elective 3 0 6
MAT5564 ADVANCED SCIENTIFIC CALCULATION METHODS II Elective 3 0 6
MAT5566 FINITE ELEMENTS METHOD II Elective 3 0 6
MAT5568 SPECIAL TOPICS IN APPLIED MATHEMATICS II Elective 3 0 6
MAT5584 ALGEBRAIC NUMBERS THEORY Elective 3 0 6
MAT5586 GROUP NOTATION Elective 3 0 6
MAT5588 SPECIAL TOPICS IN ALGEBRAIC GEOMETRY Elective 3 0 6
MAT5590 NON-COMMUTATIVE RINGS THEORY Elective 3 0 6
MAT5598 SPECIAL TOPICS IN NUMERICAL ANALYSIS II Elective 3 0 6
MAT5602 ABSTRACT MEASUREMENT THEORY II Elective 3 0 6
MAT5604 ADVANCED PARTIAL DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT5606 NON-LINEAR INTEGRAL AND INTEGRO DIFFERENTIAL EQUATIONS Elective 3 0 6
MAT5608 APPLIED FUNCTIONAL ANALYSIS Elective 3 0 6
MAT5610 PERTURBATION THEORY Elective 3 0 6
MAT5612 FINITE ELEMENTS METHOD II Elective 3 0 6
MAT5614 CODING THEORY II Elective 3 0 6
MAT5616 ITERATION METHODS IN LINEAR AND NON-LINEAR EQUATIONS Elective 3 0 6
MAT5618 NUMERICAL SOLUTIONS IN HYDRODYNAMICS Elective 3 0 6
MAT5620 SPECIAL TOPICS IN COMPLEX ANALYSIS Elective 3 0 6
MAT5622 ADVANCED TOPOLOGY Elective 3 0 6
MAT5624 LATTICE THEORY Elective 3 0 4
MAT5625 INTRODUCTION TO HILBERT SPACES Elective 3 0 4
MAT5702 Specialization Field Course Required 4 0 6
       
2. Year - 1. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT5703 Specialization Field Course Required 4 0 6
MAT5801 Thesis Work Required 0 0 24
       
2. Year - 2. Term
Course Unit Code Course Unit Title Course Type Theory Practice ECTS Print
MAT5704 Specialization Field Course Required 4 0 6
       
 

Evaluation Questionnaires

Course & Program Outcomes Matrix

1. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Seminar4545454545454
DYNAMIC SYSTEMS IN TIME SCALES I5433554445544
FUZZY MATHEMATICS5443334435344
ALGEBRA I5443423335434
SCIENTIFIC CALCULATION AND PROGRAMMING I5543535245542
HYDRODYNAMICS AND APPLICATIONS5543535245542
LINEAR ALGEBRA5443333435334
MODULE THEORY5443333435334
DIFFERENTIAL GEOMETRY5423554445545
INTRODUCTION TO RIEMANN GEOMETRY5424554445554
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
TOPOLOGICAL CONTINUITY544343 435434
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 METHODS5435454445544
GRAPH THEORY I5435554445554
PARTIAL DIFFERENTIAL EQUATIONS I5525444445355
FOURIER ANALYSIS AND APPROXIMATION PROPERTIES5542445235434
EUCLIDIAN AND NON-EUCLIDIAN GEOMETRIES5425554445544
INTRODUCTION TO FINITE FIELDS5434543454354
Homotopi Teorisi II5444553344455
THEORY OF ALGEBRAS4334555333445
Cebirsel Topolojiden Seçme Konular4435344443333
GROUP THEORY5453454454345
Hareket Geometrisi45555444 3444
STOCHASTIC DIFFERENTIAL EQUATIONS5454354543545
Değişmeli Halkalar Teorisi4445555333344
MATHEMATICAL METHODS IN HYDRODYNAMICS3454354533345
Sonlu Cisimlerin Uygulamaları5555444553344
DIFFERENTIAL EQUATIONS THEORY4444334554533
SINGULAR INTEGRAL EQUATIONS AND APPLICATIONS5544335544335
ELLIPTIC INTEGRALS AND ELLIPTIC FUNCTIONS4433554455335
FUZZY SET THEORY4433545345334
APPROXIMATION THEORY I4343455334554
ABSTRACT MEASUREMENT THEORY I5544335544335
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 TOPOLOGY 353545345454
Specialization Field Course5445454544545
              
1. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
FUZZY TOPOLOGICAL SPACES5443455434433
FUZZY FUNCTIONS THEORY AND APPLICATIONS5445555435555
DYNAMIC SYSTEMS IN TIME SCALES II5423554445544
ALGEBRA II5443433335434
SCIENTIFIC CALCULATION AND PROGRAMMING II5435554445545
INTRODUCTION TO ALGEBRAIC GEOMETRY II5443333433334
RIEMANN GEOMETRY5423554445554
SPECIAL TOPICS IN DIFFERENTIAL GEOMETRY5423554445554
NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS II5543535245542
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 ANALYSIS5425 54445544
PARTIAL DIFFERENTIAL EQUATIONS II5525444445355
NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS II5543535245542
SPECEIFIC FUNCTIONS AND APPROXIMATION PROPERTIES II5542435235434
TOPOLOGICAL VECTOR SPACES II5443423435434
INTEGRAL TRANSFORMATIONS4535453444435
DIFFERENTIABLE MANIFOLDS5423554445554
FOURIER AND LAPLACE TRANSFORMATIONS4434543454434
ADVANCED SCIENTIFIC CALCULATION METHODS II3544354345343
FINITE ELEMENTS METHOD II3453455434545
SPECIAL TOPICS IN APPLIED MATHEMATICS II5544334554345
ALGEBRAIC NUMBERS THEORY3544433354354
GROUP NOTATION5433454334543
SPECIAL TOPICS IN ALGEBRAIC GEOMETRY5443343435434
NON-COMMUTATIVE RINGS THEORY5443334544433
SPECIAL TOPICS IN NUMERICAL ANALYSIS II4445553344555
ABSTRACT MEASUREMENT THEORY II3455455443354
ADVANCED PARTIAL DIFFERENTIAL EQUATIONS3544533534544
NON-LINEAR INTEGRAL AND INTEGRO DIFFERENTIAL EQUATIONS3455443334533
APPLIED FUNCTIONAL ANALYSIS4443335554444
PERTURBATION THEORY4445554455434
FINITE ELEMENTS METHOD II3453455434 45
CODING THEORY II3454334453443
ITERATION METHODS IN LINEAR AND NON-LINEAR EQUATIONS5554443543544
NUMERICAL SOLUTIONS IN HYDRODYNAMICS5425354445545
SPECIAL TOPICS IN COMPLEX ANALYSIS3544354435444
ADVANCED TOPOLOGY3344545354433
LATTICE THEORY5441111431114
INTRODUCTION TO HILBERT SPACES5443423435434
Specialization Field Course4543443554435
              
2. Year - 1. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course4543443554435
Thesis Work 4543443554435
              
2. Year - 2. Term
Ders AdıPy1Py2Py3Py4Py5Py6Py7Py8Py9Py10Py11Py12Py13
Specialization Field Course4543443554435
              
 

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