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 fouryear 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 20182019, there are 2 Professor, 8 Associate Professor, 2 Assistant Professor, 6 Research Assistant Doctor 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 nonthesis 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 makeup exam if they are accepted by the Graduate School Administrative Board.
Yearend 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 midterm and final exams are determined by the department. In such cases, the semester grade is given according to the student's semester performance. Exams; midterm, final exam and makeup 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, writtenapplied and oralapplied. For each course, at least one midterm exam is held in the related semester. The midterm 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

FBE5090

Project Development and Management

Required

2

0

2


FBE5500

Project Development and Management

Elective

3

0

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 INTEGRODIFFERENTIAL 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 NONEUCLIDIAN GEOMETRIES

Elective

3

0

6


MAT5570

INTRODUCTION TO FINITE FIELDS

Elective

3

0

6


MAT5571

Homotopi Teorisi II

Required

3

0

6


MAT5572

THEORY OF ALGEBRAS

Elective

3

0

6


MAT5573

Cebirsel Topolojiden Seçme Konular

Required

3

0

6


MAT5576

GROUP THEORY

Elective

3

0

6


MAT5577

Hareket Geometrisi

Required

3

0

6


MAT5578

STOCHASTIC DIFFERENTIAL EQUATIONS

Elective

3

0

6


MAT5579

Değişmeli Halkalar Teorisi

Required

3

0

6


MAT5580

MATHEMATICAL METHODS IN HYDRODYNAMICS

Elective

3

0

6


MAT5581

Sonlu Cisimlerin Uygulamaları

Required

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


MAT5599

ADVANCED SCIENTIFIC CALCULATION METHODS 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


MAT6001

SPECİAL TOPİC OF LİNEAR ALGEBRA

Required Elective

3

0

6


MAT6003

HIGH DIFFERENTIAL GEOMETRY

Required Elective

3

0

6


MAT6004

SPECIAL TOPICS IN FUNCTIONAL ANALYSIS

Required Elective

3

0

6


MAT6005

DIFFERENTIAL GEOMETRY THEORY AND APPLICATIONS

Required Elective

3

0

6


MAT6006

SPECIAL TOPICS IN NUMERICAL ANALYSIS I

Required Elective

3

0

6


MAT6007

Selected Topics in Topology I

Required Elective

3

0

6


MAT6009

Selected Topics in Topology II

Elective

3

0

6


MAT6090

SEMINAR *(POSTGRADUATE)

Required

0

2

6


MAT6701

Special Studies*

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


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

NONCOMMUTATIVE RINGS THEORY

Elective

3

0

6


MAT5592

APPROXIMATION THEORY II

Elective

3

0

6


MAT5596

HOMOLOGICAL ALGEBRA

Elective

3

0

6


MAT5598

SPECIAL TOPICS IN NUMERICAL ANALYSIS II

Elective

3

0

6


MAT5600

ORTHOGONAL POLYNOMIALS

Elective

3

0

6


MAT5602

ABSTRACT MEASUREMENT THEORY II

Elective

3

0

6


MAT5604

ADVANCED PARTIAL DIFFERENTIAL EQUATIONS

Elective

3

0

6


MAT5606

NONLINEAR 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 NONLINEAR 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


MAT6002

SPECIAL TOPICS IN REAL ANALYSIS

Required Elective

3

0

6


MAT6008

SPECIAL TOPICS IN APPLIED MATHEMATICS I

Required Elective

3

0

6


MAT6010

SELECTED TOPICS IN ALGEBRA

Required 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

Special Studies*

Required

4

0

6


MAT6810

Qualifying Exam

Required

0

0

24


      

2. Year
 2. Term
Course Unit Code

Course Unit Title

Course Type

Theory

Practice

ECTS

Print

MAT6704

Special Studies

Required

4

0

6


MAT6811

Ph.D. Thesis Proposal

Required

0

0

24


      

3. Year
 1. Term
Course Unit Code

Course Unit Title

Course Type

Theory

Practice

ECTS

Print

MAT6705

Special Studies*

Required

4

0

6


MAT6812

Ph.D. Thesis (1.TİK)

Required

0

0

24


      

3. Year
 2. Term
Course Unit Code

Course Unit Title

Course Type

Theory

Practice

ECTS

Print

MAT6706

Special Studies*

Required

4

0

6


MAT6813

Ph.D. Thesis (2.TİK)

Required

0

0

24


      

4. Year
 1. Term
Course Unit Code

Course Unit Title

Course Type

Theory

Practice

ECTS

Print

MAT6707

Special Studies*

Required

4

0

6


MAT6814

Ph.D. Thesis (3.TİK)

Required

0

0

24


      

4. Year
 2. Term
Course Unit Code

Course Unit Title

Course Type

Theory

Practice

ECTS

Print

MAT6708

Special Studies

Required

4

0

6


MAT6815

Ph.D. Thesis (Thesis Defence)

Required

0

0

24


      


Evaluation Questionnaires
Course & Program Outcomes Matrix
0  Etkisi Yok, 1  En Düşük, 2  Düşük, 3  Orta, 4  Yüksek, 5  En Yüksek
1. Year
 1. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
Project Development and Management  4  4  5  5  3  3  4  3  5  3  5  3  4 
Project Development and Management  4  4  4  4  5  3  3  4  4  3  4  5  4 
DYNAMIC SYSTEMS IN TIME SCALES I  5  4  3  3  5  5  4  4  4  5  5  4  4 
FUZZY MATHEMATICS  5  4  4  3  3  3  4  4  3  5  3  4  4 
ALGEBRA I  5  4  4  3  4  2  3  3  3  5  4  3  4 
SCIENTIFIC CALCULATION AND PROGRAMMING I  5  5  4  3  5  3  5  2  4  5  5  4  2 
HYDRODYNAMICS AND APPLICATIONS  5  5  4  3  5  3  5  2  4  5  5  4  2 
LINEAR ALGEBRA  5  4  4  3  3  3  3  4  3  5  3  3  4 
MODULE THEORY  5  4  4  3  3  3  3  4  3  5  3  3  4 
DIFFERENTIAL GEOMETRY  5  4  2  3  5  5  4  4  4  5  5  4  5 
INTRODUCTION TO RIEMANN GEOMETRY  5  4  2  4  5  5  4  4  4  5  5  5  4 
NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS  5  5  4  3  5  3  5  2  4  5  5  4  2 
DOCUMENTATION BY LATEX  3  4  5  3  3  5  4  4  5  3  4  3  4 
COMPLEX ANALYSIS   5  4  3  5  4  3  5  4  5  4  3  5 
REEL ANALYSIS  4  5  4  3  5  4  3  5  4  5  4  3  5 
TOPOLOGICAL VECTOR SPACES I  5  4  4  3  4  3  3  4  3  5  4  3  4 
INTRODUCTION TO HOMOLOGY ALGEBRA  5  4  4  5  3  4  5  4  3  5  4  4  4 
ORDINARY DIFFERENTIAL EQUATIONS  5  4  2  4  5  5  4  4  4  5  5  5  4 
TOPOLOGY  5  4  4  3  4  3  3  4  3  5  4  3  4 
INTRODUCTION TO ALGEBRAIC GEOMETRY I  5  4  4  3  2  3  3  4  5  4  3  3  4 
INTRODUCTION TO ALGEBRAIC TOPOLOGY I  5  4  4  3  4  2  3  4  3  5  4  3  3 
TOPOLOGICAL CONTINUITY  5  4  4  3  4  3  3  4  3  5  4  3  4 
COMMUNICATION NETWORKS AND VULNERABİLİTY  5  4  3  5  5  5  4  4  4  5  5  5  4 
DISTANCE CONCEPT IN GRAPHS  5  4  3  5  5  5  4  4  4  5  5  5  4 
DIFFERENCE EQUATIONS I  5  4  2  3  5  5  4  4  4  5  5  5  4 
MATRIX THEORY  5  4  2  5  4  5  4  4  4  5  5  5  4 
ALGORITHMIC APPROXIMATION PROPERTY TO GRAPH THEORY  5  4  3  5  5  5  4  4  4  5  5  5  4 
THEORY AND APPLICATIONS OF NUMERICAL ANALYSIS  5  4  2  5  5  5  4  4  4  5  5  4  4 
SPECIFIC FUNCTIONS AND APPROXIMATION PROPERTIES  5  5  4  2  4  3  5  2  3  5  4  3  4 
NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS  5  4  2  5  5  5  4  4  4  5  5  5  4 
APPROXIMATE SOLUTIONS OF INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS  5  4  2  5  5  4  4  4  4  5  4  4  4 
ADVANCED THEORY OF NUMBERS  5  4  4  3  4  2  3  4  3  5  4  3  3 
APPLIED MATHEMATIC METHODS  5  4  3  5  4  5  4  4  4  5  5  4  4 
GRAPH THEORY I  5  4  3  5  5  5  4  4  4  5  5  5  4 
PARTIAL DIFFERENTIAL EQUATIONS I  5  5  2  5  4  4   4  4  5  3  5  5 
FOURIER ANALYSIS AND APPROXIMATION PROPERTIES  5  5  4  2  4  4  5  2  3  5  4  3  4 
EUCLIDIAN AND NONEUCLIDIAN GEOMETRIES  5  4  2  5  5  5  4  4  4  5  5  4  4 
INTRODUCTION TO FINITE FIELDS  5  4  3  4  5  4  3  4  5  4  3  5  4 
Homotopi Teorisi II  4  4  3  4  4  5  5  4  3  4  5  5  5 
THEORY OF ALGEBRAS  4  3  3  4  5  5  5  3  3  3  4  4  5 
Cebirsel Topolojiden Seçme Konular  4  5  4  4  3  3  3  4  4  4  4  3  3 
GROUP THEORY  5  4  5  3  4  5  4  4  5  4  3  4  5 
Hareket Geometrisi  4  4  4  5  5  4  3  3  4  3  4  3  4 
STOCHASTIC DIFFERENTIAL EQUATIONS  5  4  5  4  3  5  4  5  4  3  5  4  5 
Değişmeli Halkalar Teorisi  4  4  3  3  5  5  4  3  4  3  4  4  4 
MATHEMATICAL METHODS IN HYDRODYNAMICS  3  4  5  4  3  5  4  5  3  3  3  4  5 
Sonlu Cisimlerin Uygulamaları  4  3  5  4  5  3  5  4  3  4  3  4  3 
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 
ADVANCED SCIENTIFIC CALCULATION METHODS I  4  3  3  5  4  3  3  4  4  5  4  3  4 
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  
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  4  3  5  3  5  4  5  3  4  5  4  5  4 
SPECİAL TOPİC OF LİNEAR ALGEBRA  4  4  4  3  5  5  4  3  3  4  4  3  4 
HIGH DIFFERENTIAL GEOMETRY  3  3  5  4  3  4  3  5  5  4  4  4  4 
SPECIAL TOPICS IN FUNCTIONAL ANALYSIS  5  4  4  4  5  3  4  3  4  5  3  4  4 
DIFFERENTIAL GEOMETRY THEORY AND APPLICATIONS  3  4  3  5  4  3  3  4  5  4  5  5  3 
SPECIAL TOPICS IN NUMERICAL ANALYSIS I  5  4  3  4  4  5  4  3  3  4  5  4  3 
Selected Topics in Topology I  4  4  3  5  4  3  4  3  5  4  4  3  4 
Selected Topics in Topology II  4  3  3  4  4  5  3  4  3  5  4  3  4 
SEMINAR *(POSTGRADUATE)  4  5  4  3  4  4  3  5  5  4  4  3  5 
Special Studies*  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 
FUZZY TOPOLOGICAL SPACES  5  4  4  3  4  5  5  4  3  4  4  3  3 
FUZZY FUNCTIONS THEORY AND APPLICATIONS  5  4  4  5  5  5  5  4  3  5  5  5  5 
DYNAMIC SYSTEMS IN TIME SCALES II  5  4  2  3  5  5  4  4  4  5  5  4  4 
ALGEBRA II  5  4  4  3  4  3  3  3  3  5  4  3  4 
SCIENTIFIC CALCULATION AND PROGRAMMING II  5  4  3  5  5  5  4  4  4  5  5  4  5 
INTRODUCTION TO ALGEBRAIC GEOMETRY II  5  4  4  3  3  3  3  4  3  3  3  3  4 
RIEMANN GEOMETRY  5  4  2  3  5  5  4  4  4  5  5  5  4 
SPECIAL TOPICS IN DIFFERENTIAL GEOMETRY  5  4  2  3  5  5  4  4  4  5  5  5  4 
NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS II  5  5  4  3  5  3  5  2  4  5  5  4  2 
SET THEORY  5  4  4  1  1  1  1  4  3  1  1  1  4 
FUNCTIONAL ANALYSIS  5  4  4  3  4  2  3  4  3  5  4  3  4 
TOPOLOGICAL GROUPS  5  4  4  3  4  2  3  4  3  5  4  3  4 
GRAPH ALGORITHMS AND OPTIMIZATION  5  4  3  5  5  5  4  4  4  5  5  5  4 
ORIENTED GRAPHS  5  4  3  5  5  5  4  4  4  5  5  5  4 
DENUMERABLE GRAPHS  5  4  3  5  5  5  4  4  4  5  5  5  4 
NUMERICAL LINEAR ALGEBRA  5  4  2  5  5  5  4  4  4  5  5  4  5 
INTRODUCTION TO ALGEBRAIC TOPOLOGY II  5  4  4  3  4  2  3  4  3  5  4  3  3 
DIFFERENCE EQUATIONS II  5  4  2  3  5  5  4  4  4  5  5  5  4 
GRAPH THEORY II  5  4  3  5  5  5  4  4  4  5  5  5  4 
NUMERICAL ANALYSIS  5  4  2  5  5  5  4  4  4  5  5  4  4 
PARTIAL DIFFERENTIAL EQUATIONS II  5  5  2  5  4  4  4  4  4  5  3  5  5 
NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS II  5  5   3  5  3  5  2  4  5  5  4  2 
SPECEIFIC FUNCTIONS AND APPROXIMATION PROPERTIES II  5  5  4  2  4  3  5  2  3  5  4  3  4 
TOPOLOGICAL VECTOR SPACES II  5  4  4  3  4  2  3  4  3  5  4  3  4 
INTEGRAL TRANSFORMATIONS  4  5  3  5  4  5  3  4  4  4  4  3  5 
DIFFERENTIABLE MANIFOLDS  5  4  2  3  5  5  4  4  4  5  5  5  4 
FOURIER AND LAPLACE TRANSFORMATIONS  4  4  3  4  5  4  3  4  5  4  4  3  4 
ADVANCED SCIENTIFIC CALCULATION METHODS II  3  5  4  4  3  5  4  3  4  5  3  4  3 
SPECIAL TOPICS IN APPLIED MATHEMATICS II  5  5  4  4  3  3  4  5  5  4  3  4  5 
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 
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 
ORTHOGONAL POLYNOMIALS  3  4  5  5  5  5  4  5  5  4  5  4  5 
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  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   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 
LATTICE THEORY  5  4  4  1  1  1  1  4  3  1  1  1  4 
INTRODUCTION TO HILBERT SPACES  5  4  4  3  4  2  3  4  3  5  4  3  4 
SPECIAL TOPICS IN REAL ANALYSIS  4   3  4  5  5  4  3  4  3  4  4  3 
SPECIAL TOPICS IN APPLIED MATHEMATICS I  3  4  5  5  5  4  4  4  4  3  4  3  4 
SELECTED TOPICS IN ALGEBRA  4  5  4  5  3  4  3  4  5  3  5  3  4 
Specialization Field Course              
             

2. Year
 1. Term
Ders Adı  Py1  Py2  Py3  Py4  Py5  Py6  Py7  Py8  Py9  Py10  Py11  Py12  Py13 
Special Studies*  4  5  4  3  4  4  3  5  5  4  4  3  5 
Qualifying Exam  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 
Special Studies  4  5  4  3  4  4  3  5  5  4  4  3  5 
Ph.D. 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 
Special Studies*  4  5  4  3  4  4  3  5  5  4  4  3  5 
Ph.D. Thesis (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 
Special Studies*  4  5  4  3  4  4  3  5  5  4  4  3  5 
Ph.D. Thesis (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 
Special Studies*  4  5  4  3  4  4  3  5  5  4  4  3  5 
Ph.D. Thesis (3.TİK)  4  5  4  3   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 
Special Studies  4  5  4  3  4  4  3  5  5  4  4  3  5 
Ph.D. Thesis (Thesis Defence)  4  5  4  5  4  4  5  5  4  5  4  4  5 
             

