DEGREE PROGRAMMES

: Mathematics

General Description

History

Our Department of Mathematics has been founded in 1991. Undergraduate program started in 1991, and master and PhD programs started in 1993. Our department carries out the courses in our undergraduate and graduate programs, and mathematics courses in the Faculty of Arts and Science, Engineering Faculty and other faculties of our university. As a developing department, our aim is especially to strengthen our department in research and to grow in various sub-branches of mathematics.

Qualification Awarded

M.Sc. in Mathematics

Level of Qualification

Second Cycle (Master's Degree)

Specific Admission Requirements

First Cycle (Bachelor's Degree) diploma; minimum score of 55 from the National Central Graduate Education Entrance Examination (ALES) in the related field; a minimum score of 65 from the graduate school entrance exam; a minimum score of 60 from the nation-wide Foreign Language Exam ( YDS ) or equivalent score from an exam accredited by YÖK or a minimum score of 65 from DEU School of Foreign Languages English Proficiency Test.

Specific Arrangements for Recognition of Prior Learning (Formal, Non-Formal and Informal)

According to the Regulations of Dokuz Eylül University for Graduate Schools, students may be accepted for graduate transfer with the approval of the Department Directorate and decision of the Board of Directors of the Graduate School in case the student fulfills the graduate transfer regulations decided by the General Council of the Graduate School. Previously taken courses at another graduate programme with a successful grade may be recognized by the related programmes with the written request of the students including course contents and the transcript, and by the recommendation of the Department Directorates and by the decision of the Board of Directors. The courses taken by the outgoing Exchange students may have the recognition at the school either as compulsory or elective by the decision of the Board of Directors.

Qualification Requirements and Regulations

2 years (excluding one year of English Preparatory School), 2 semesters per year, 16 weeks per semester, 120 ECTS in total.

Profile of the Programme

The aim of this program is to provide a solid background both in pure and applied mathematics together with a wide range of elective courses, and to enhance the ability to think analytically and to construct logical solutions. The program consists of a total of twenty two academicians.

Percentage of Courses Taught in English: %100

Key Learning Outcomes

1   To develop and deepen theoretical or applied knowledge in some fields of mathematics
2   To improve the ability of independent and critical thinking in mathematics
3   To be able to convey the knowledge obtained in graduate mathematics education to undergraduate education
4   To gain the ability to keep oneself up-to-date by following mathematics and science journals
5   To make research studies in mathematics and in related areas individually or as a group
6   To be able to make his/her analysis and models, and to develop methods in applied mathematics with an interdisciplinary approach
7   To be able to use the software that is common in the areas of mathematics
8   To be able to master the concepts of pure mathematics with applications inside the branches of mathematics
9   To be able to comprehend the dynamic role of mathematics in science, society and history
10   To understand the interrelations among various areas of mathematics
11   To be able to use English actively at the General Level B1 of the European Language Portfolio, to be able to communicate easily with colleagues from our country or abroad and to be able to follow the periodicals

Occupational Profiles of Graduates with Examples

Our graduate students can be academicians or teachers, or they can have career in finance or information processing sectors.

Access to Further Studies

May apply to third cycle programmes.

Course Structure Diagram with Credits

In addition to the compulsory courses of the programme, students register to elective courses appropriate for their thesis topic, on the consent of their supervisor. If necessary, on the consent of their supervisor, they can also register to courses from other programmes (from DEU or other universities).
T: Theoretical P: Practice L: Laboratory
B: Spring Semester G: Fall Semester H: Full Year
1 .Semester:
Semester No Course Unit Code Course Unit Title Type of Course T P L ECTS
G 1 FBE 5557 SCIENTIFIC RESEARCH TECHNIQUES AND PUBLICATION ETHICS COMPULSORY 3 0 0 5
G 2 MAT 5098 M.SC. RESEARCH COMPULSORY 2 0 0 3
G 0 - ELECTIVE COURSE ELECTIVE - - - 22
TOTAL:   30
 
1 .Semester Elective:
Semester No Course Unit Code Course Unit Title Type of Course T P L ECTS
G 1 MAT 5003 MODULES AND RINGS - I ELECTIVE 3 0 0 7
G 2 MAT 5081 WAVELETS AND APPLICATIONS ELECTIVE 3 0 0 7
G 3 MAT 5007 ALGEBRA I ELECTIVE 3 0 0 7
G 4 MAT 5019 THEORY OF GENERALIZED FUNCTIONS AND APPLICATIONS ELECTIVE 3 0 0 7
G 5 MAT 5029 CALCULUS ON MANIFOLDS ELECTIVE 3 0 0 7
G 6 MAT 5031 MATRIX THEORY ELECTIVE 3 0 0 7
G 7 MAT 5049 CATEGORIES ELECTIVE 3 0 0 7
G 8 MAT 6021 TOPOLOGY ELECTIVE 3 0 0 8
G 9 MAT 6023 ADVANCED ALGEBRA ELECTIVE 3 0 0 8
G 10 MAT 6025 FUNCTIONAL ANALYSIS ELECTIVE 3 0 0 8
G 11 MAT 6031 PROBABILITY THEORY ELECTIVE 3 0 0 8
G 12 MAT 6033 THEORY OF HYPERBOLIC EQUATIONS AND SYSTEMS ELECTIVE 3 0 0 8
G 13 MAT 6035 ADVANCED TOPOLOGY AND GEOMETRY I ELECTIVE 3 0 0 8
G 14 MAT 6037 HOMOLOGICAL METHODS IN ABELIAN GROUPS ELECTIVE 3 0 0 8
G 15 MAT 6039 DIFFERENTIAL TOPOLOGY ELECTIVE 3 0 0 8
G 16 MAT 6041 INTERPOLATION AND APPROXIMATION ELECTIVE 3 0 0 8
G 17 MAT 6043 APPLICATIONS OF LIE GROUPS TO DIFFERENTIAL EQUATIONS I ELECTIVE 3 0 0 8
G 18 MAT 5017 THEORY OF ORDINARY DIFFERENTIAL EQUATIONS ELECTIVE 3 0 0 7
G 19 MAT 5055 COMMUTATIVE RING THEORY I ELECTIVE 3 0 0 7
G 20 MAT 5053 MATRIX GROUPS ELECTIVE 3 0 0 7
G 21 MAT 6049 LINE GEOMETRY ELECTIVE 3 0 0 8
G 22 MAT 6051 INTRINSIC GEOMETRY OF SURFACES ELECTIVE 3 0 0 8
G 23 MAT 6055 REPRESENTATION THEORY ELECTIVE 3 0 0 8
G 24 MAT 5059 REAL ANALYSIS ELECTIVE 3 0 0 7
G 25 MAT 5061 ABELIAN GROUPS ELECTIVE 3 0 0 7
G 26 MAT 5063 INVARIANT THEORY ELECTIVE 3 0 0 8
G 27 MAT 5065 ADVANCED LINEAR ALGEBRA ELECTIVE 3 0 0 7
G 28 MAT 5067 ALGEBRAS AND QUIVER REPRESENTATIONS ELECTIVE 3 0 0 8
G 29 MAT 5069 ALGEBRAIC CURVES ELECTIVE 3 0 0 7
G 30 MAT 5071 ALGEBRAIC GEOMETRY I ELECTIVE 3 0 0 8
G 31 MAT 5073 ALGEBRAIC SURFACES ELECTIVE 3 0 0 8
G 32 MAT 5075 TIME SCALE CALCULUS ELECTIVE 3 0 0 7
G 33 MAT 5101 APPLIED MATHEMATICS ELECTIVE 3 0 0 9
G 34 MAT 5141 MATHEMATICAL METHODS ELECTIVE 3 0 0 9
G 35 MAT 5151 METHODS OF APPLIED MATHEMATICS ELECTIVE 3 0 0 9
G 36 MAT 5077 ASPECTS OF APPLIED MATHEMATICS ELECTIVE 3 0 0 7
G 37 MAT 5009 ANALYTIC NUMBER THEORY ELECTIVE 3 0 0 7
G 38 MAT 5013 COMPLEX GEOMETRY ELECTIVE 3 0 0 8
G 39 MAT 5015 CRYPTOGRAPHY ELECTIVE 3 0 0 7
G 40 MAT 5021 DIFFERENTIAL GEOMETRY-I ELECTIVE 3 0 0 8
G 41 MAT 5023 ELLIPTIC CURVES ELECTIVE 3 0 0 7
G 42 MAT 5025 ENUMERATIVE COMBINATORICS ELECTIVE 3 0 0 7
G 43 MAT 5045 HYPERBOLIC GEOMETRY ELECTIVE 3 0 0 7
G 44 MAT 5079 MATHEMATICS AND TECHNOLOGY ELECTIVE 3 0 0 7
G 45 MAT 5005 TOPOLOGICAL VECTOR SPACES - I ELECTIVE 3 0 0 7
 
2 .Semester:
Semester No Course Unit Code Course Unit Title Type of Course T P L ECTS
B 1 MAT 5096 M.SC. SEMINAR COMPULSORY 0 2 0 3
B 0 - ELECTIVE COURSE ELECTIVE - - - 27
TOTAL:   30
 
2 .Semester Elective:
Semester No Course Unit Code Course Unit Title Type of Course T P L ECTS
B 1 MAT 5006 THEORY OF PARTIAL DIFFERENTIAL EQUATIONS ELECTIVE 3 0 0 7
B 2 MAT 5058 RIEMANN SURFACES ELECTIVE 3 0 0 8
B 3 MAT 5012 NUMERICAL ANALYSIS FOR MATRICES AND SYSTEMS ELECTIVE 3 0 0 7
B 4 MAT 5014 THEORY OF INTEGRAL EQUATIONS AND INTEGRAL TRANSFORMS ELECTIVE 3 0 0 7
B 5 MAT 5018 APPROXIMATION THEORY ELECTIVE 3 0 0 7
B 6 MAT 5022 HOMOLOGICAL ALGEBRA ELECTIVE 3 0 0 7
B 7 MAT 5030 DIFFERENTIABLE MANIFOLDS ELECTIVE 3 0 0 7
B 8 MAT 5032 ALGEBRAIC TOPOLOGY ELECTIVE 3 0 0 7
B 9 MAT 5034 ADVANCED ORDINARY DIFFERENTIAL EQUATIONS ELECTIVE 3 0 0 7
B 10 MAT 5038 NONCOMMUTATIVE RINGS ELECTIVE 3 0 0 7
B 11 MAT 6010 LIE GROUPS ELECTIVE 3 0 0 8
B 12 MAT 6016 METHODS OF MODULE THEORY ELECTIVE 3 0 0 8
B 13 MAT 6024 ELLIPTIC BOUNDARY VALUE PROBLEMS ELECTIVE 3 0 0 8
B 14 MAT 6026 THEORY OF LINEAR UNBOUNDED OPERATORS ELECTIVE 3 0 0 8
B 15 MAT 6028 SPECTRAL THEORY OF LINEAR DIFFERENTIAL OPERATORS ELECTIVE 3 0 0 8
B 16 MAT 6034 VECTOR BUNDLES AND CHARACTERISTIC CLASSES ELECTIVE 3 0 0 8
B 17 MAT 6038 MATHEMATICAL THEORY OF INVERSE PROBLEMS ELECTIVE 3 0 0 8
B 18 MAT 6044 NUMERICAL METHODS FOR TWO-POINT BOUNDARY VALUE PROBLEMS ELECTIVE 3 0 0 8
B 19 MAT 6046 NON-LINEAR DIFFERANTIAL EQUATIONS AND DYNAMICAL SYSTEMS ELECTIVE 3 0 0 8
B 20 MAT 6048 NUMERICAL FUNCTIONAL ANALYSIS ELECTIVE 3 0 0 8
B 21 MAT 6050 CURVATURE AND HOMOLOGY ELECTIVE 3 0 0 8
B 22 MAT 5042 PERTURBATION METHODS ELECTIVE 3 0 0 7
B 23 MAT 5040 COMUTATIVE RING THEORY - II ELECTIVE 3 0 0 7
B 24 MAT 6058 RELATIVE HOMOLOGICAL ALGEBRA ELECTIVE 3 0 0 8
B 25 MAT 6062 MATHEMATICAL ASPECTS OF GEOMETRIC MODELING ELECTIVE 3 0 0 8
B 26 MAT 5046 TOPOLOGICAL VECTOR SPACES - II ELECTIVE 3 0 0 7
B 27 MAT 5048 ALGEBRA II ELECTIVE 3 0 0 7
B 28 MAT 6064 ADVANCED TOPOLOGY AND GEOMETRY II ELECTIVE 3 0 0 8
B 29 MAT 5044 MODULES AND RINGS - II ELECTIVE 3 0 0 7
B 30 MAT 5050 ANALYSIS OF NUMERICAL METHODS FOR THE ORDINARY DIFFERENTIAL EQUATIONS ELECTIVE 3 0 0 6
B 31 MAT 6070 COMPLEX ANALYSIS ELECTIVE 3 0 0 8
B 32 MAT 6072 EQUATIONS OF MATHEMATICAL PHYSICS ELECTIVE 3 0 0 8
B 33 MAT 5064 ANALYSIS OF NUMERICAL METHODS ELECTIVE 3 0 0 7
B 34 MAT 5062 ALGEBRAIC GEOMETRY II ELECTIVE 3 0 0 8
B 35 MAT 5102 NUMERICAL AND APPROXIMATE METHODS ELECTIVE 3 0 0 9
B 36 MAT 5024 ALGEBRAIC NUMBER THEORY ELECTIVE 3 0 0 7
B 37 MAT 5026 DIFFERENTIAL GEOMETRY-II ELECTIVE 3 0 0 8
B 38 MAT 5028 INTRODUCTION TO THEORETICAL KINEMATICS ELECTIVE 3 0 0 7
B 39 MAT 5052 MODEL THEORY ELECTIVE 3 0 0 7
B 40 MAT 5054 MODULAR FORMS ELECTIVE 3 0 0 7
B 41 MAT 5056 OSCILLATION THEORY ELECTIVE 3 0 0 7
B 42 MAT 5008 NONLINEAR PROBLEMS OF APPLIED MATHEMATICS ELECTIVE 3 0 0 7
 
3.Semester:
Semester No Course Unit Code Course Unit Title Type of Course T P L ECTS
G 1 MAT 5099 M.SC. THESIS COMPULSORY 0 0 0 30
TOTAL:   30
 
4.Semester:
Semester No Course Unit Code Course Unit Title Type of Course T P L ECTS
B 1 MAT 5099 M.SC. THESIS COMPULSORY 0 0 0 30
TOTAL:   30
 

Examination Regulations, Assessment and Grading

Related items of Dokuz Eylul University Regulations of Graduate Education and Exams and related items of Institute of Natural and Applied Sciences Regulations of Education and Code of Practicing Exams are applied for the exams and course grades.
The course evaluation criteria are defined for each course by the instructor(s) of the corresponding course and are given in the Course Description Form found in the information package.

Graduation Requirements

Second Cycle (Master's Degree) Programme with thesis is comprised of courses (at least 54 ECTS), a seminar (3 ECTS), M. Sc. Research (3 ECTS) and M. Sc. Thesis (60 ECTS), in total 120 ECTS credits. Students must have minimum Cumulative Grade Point Average (CGPA) of 2.50 / 4.00 and completed all the courses with at least CB / S / TP grades.

Mode of Study (Full-Time, Part-Time, E-Learning )

Full-time

Programme Director or Equivalent

Head of Department : Prof.Dr.Gökhan BİLHAN
E-Mail : gokhan.bilhan@deu.edu.tr
Phone : +90 (232) 301 85 08 / +90 (232) 301 85 07
DEÜ Fen Fakültesi Matematik Bölümü Tınaztepe Kampüsü 35160 Buca/İZMİR