Dokuz Eylül University Information Package / Courses Catalog

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 Degree in the same or in related disciplines, Transcript, Acceptable score on ALES (Academic Personnel and Graduate Education Entrance Exam) or Equivalent GRE, GMAT score. Acceptable score on Language Proficiency Tests. Acceptable weighted score based on the first cycle cumulative grade point average (GPA) and ALES score. The exceptions to the requirements of ALES and Foreign Language Proficiency scores is announced by the Graduate School. However, ALES requirement is waived for the admissions to the second cycle graduate programs offered by the Conservatory and the departments of Fine Arts Faculty, where students are admitted only by the Artistic Aptitude Test as well as for the graduates of doctorate /arts proficiency/medical residency/ dental residency/ veterinary residency/ pharmaceutical residency programs. Final admission is based on the evaluation of the related academic unit committee. International student admission requirements are decided by the Graduate School Executive Committee.

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

Semester	No	Course Unit Code	Course Unit Title	Type of Course	T	P	L	ECTS
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:
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. Başak Karpuz
E-Mail: basak.karpuz@deu.edu.tr
Phone: +90 (232) 301 85 08 / +90 (232) 301 85 07
DEÜ Fen Fakültesi Matematik Bölümü Tınaztepe Kampüsü 35160 Buca/İZMİR

DEGREE PROGRAMMES