Second Cycle Programmes    (Master's Degree)
Master (with thesis) - Institute for Graduate Studies in Pure and Applied Sciences - Mathematics - Theoretical Mathematics
General Description  |  Key Learning Outcomes  |  Course Structure Diagram with Credits
General Description ^
History
The department started education in the fall semester of 1983-1984 academic year and Assoc. Prof.Dr. Yusuf Avcı was appointed chair of program.
Qualification Awarded
M. Sc. degree in Mathematics (with thesis).
Specific Admission Requirements
Applicants; must have a B. Sc. degree and must take at least 60 points out of 100 from the Academic Personnel and Graduate Education Entrance Examination(ALES) organized by Higher Education Council Student Selection and Placement Center(ÖSYM). Please check the website of the institute for further details and recent changes. http://fbe.marmara.edu.tr/
Specific Arrangements For Recognition Of Prior Learning (Formal, Non-Formal and Informal)
To apply this program the student should graduate from the departments related to mathematics. If the courses in their undergraduate education are unsatisfactory, then they must take extra undergraduate courses.
Qualification Requirements and Regulations
http://llp.marmara.edu.tr/regulations.pdf
Profile of The Programme
Program is composed of two parts: Lectures and Master Thesis. Lectures include detailed topics related to Theoretical Mathematics: Some of them are courses related to Algebra, some fo them are courses related to Analysis, some of them are courses related to Topology and some fo them are courses related to Differential Geometry. The student prepare thesis one of these subjects.
Occupational Profiles of Graduates With Examples
Our graduates have found positions as research assistants in distinguished universities of Turkey, all over the world. Moreover they can easily find work in the financial sector, civil service and teaching as well as in computer science and programming.
Access to Further Studies
M.Sc.graduates can apply to Ph.D. programs of Mathematics or other appropriate disciplines. The acceptance of the applicants are ruled by educational institutions.
Examination Regulations, Assessment and Grading
The passing achievement grade of each course should be minimum 65/100. In the calculation of final achievement grade of course, raitos of the grades obtained from the midterm( s) and final examinations are taken as 50% of each. The grade (S) and grade (U) are used for the Seminar Courrse and Master's Thesis. The grade (S) is given to students who are successful and the grade (U) is given to students who are not successful. The student's standing is calculated in the forms of a GPA and a CGPA and anounced at the end of each semester by the Registirar's Office. The total score obtained by the student in a particular education period is calculated by the summing up individual scores which are obtained via the multiplicaiton of the final achievement grade by the credit of the course. In order to obtain the GPA for any given semester, the total score earned in that semester is divided by the sum of credits. The CGPA is calculated by taking into account all the courses taken by a student starting from her/his registration.
Graduation Requirements
Students must successfully complete at least 21 credit hours of lessons and non-credit Seminar and also prepare and successfully defend a M. Sc. thesis. 6 hours of the 21 credit hours must be taken from the core lessons. Students must give a seminar about their thesis. Also every semester during the thesis studies, students must pass the non-credit theoretical courses.
Mode of Study (Full-Time, Part-Time, E-Learning )
Full-Time
Address, Programme Director or Equivalent
Prof. Dr. Ahmet DERNEK (Head of the Department). Marmara Üniversitesi Göztepe Kampüsü Fen-Edebiyat Fakültesi Matematik Bölümü 34722 Göztepe-İstanbul. Tel: 00 90 216 346 45 53 / 1213. e-mail: adernek@marmara.edu.tr
Facilities
There are 3 Professor, 3 Associated Proffessor and 4 Assistant Professor in Theoretical Mathematics Program. The students can reach required books and papers by the help of Central Library.
Key Learning Outcomes ^
1 To learn utilizing and developing the concepts, methods and knowledges which has been gained during the undergraduate mathematical curriculum,
2 Despite of the fact that the Master Education does not purposing to obtain some original and new results in Mathematics, the topic of the master thesis should certainly be selected among the new and contemporary areas in mathematics, since it is actually an introductory phase of the doctorate study
3 To gain sufficient skill to find the necessary books and periodicals in certain libraries as well as in the internet
4 Make progress to comprehend truly all the theoretical proofs and methods in these books and especially in papers during the learning period,
5 The student should prove orally to his/her thesis guide in certain times that he/she does truly understand what he/she has read during the learning period,
6 To classify all these knowledges and then develop an appropriate writing technique which shows analytic and systematic thinking ability,
7 To achieve of writing all knowledges learned from different books and different papers not as successively but in a coherent and uniform way like in a text book,
8 To be able to make comment on those open questions which has been asked before on the topic of thesis,
9 To gain a very first experience on how one can obtain original and quite genuine results in theoretical mathematics
Course Structure Diagram with Credits ^
T : Theoretical P: Practice
No Course Unit Code Course Unit Title Type of Course T P ECTS
1 MAT-S1..4-YL Elective - 1..4 Elective 12 0 32
Total 12 0 32
No Course Unit Code Course Unit Title Type of Course T P ECTS
1 MAT700 Seminar Compulsory 0 2 4
2 MAT-S5,6,7-YL Elective - 5-6-7 Elective 9 0 24
Total 9 2 28
No Course Unit Code Course Unit Title Type of Course T P ECTS
1 Thesis Compulsory 60
Elective
1 . Semester > MAT-S1..4-YL Elective - 1..4
No Course Unit Code Course Unit Title Type of Course T P ECTS
1 MAT701 Abstract Spaces Compulsory 3 0 8
2 MAT703 Kompleks Analiz I Compulsory 3 0 8
3 MAT704 Kompleks Analiz II Compulsory 3 0 8
4 MAT705 İleri Fonksiyonel Analiz I Compulsory 3 0 8
5 MAT706 İleri Fonksiyonel Analiz II Compulsory 3 0 8
6 MAT707 Advanced Differential Geometry I Compulsory 3 0 8
7 MAT708 İleri Diferansiyel Geometri II Compulsory 3 0 8
8 MAT709 Commutative Algebra I Compulsory 3 0 8
9 MAT710 Commutative Algebra II Compulsory 3 0 8
10 MAT712 Ayrıcalıklı Lie Cebirleri Compulsory 3 0 8
11 MAT713 Halka ve Modül Teorisi I Compulsory 3 0 8
12 MAT714 Ring and Module Theory II Compulsory 3 0 8
13 MAT721 İleri Topoloji I Compulsory 3 0 8
14 MAT722 İleri Topoloji II Compulsory 3 0 8
15 MAT723 Yalınkat Fonksiyonlar Teorisi Compulsory 3 0 8
16 MAT724 Soyut Ölçü Teorisi Compulsory 3 0 8
17 MAT725 Lineer Operatör Teorisi Compulsory 3 0 8
18 MAT726 Meromorfik Fonksiyonlar Compulsory 3 0 8
19 MAT727 Özel Tanımlı Fonksiyonlar Compulsory 3 0 8
20 MAT728 Sınırsız Operatör Teorisi Compulsory 3 0 8
21 MAT729 Klasik Cebirler Compulsory 3 0 8
22 MAT730 Theory of Modules Compulsory 3 0 8
23 MAT731 Fields and Galois Theory Compulsory 3 0 8
24 MAT732 Tensör Cebrinden Seçme Konular Compulsory 3 0 8
25 MAT733 İntegral Dönüşümleri I Compulsory 3 0 8
26 MAT734 İntegral Dönüşümleri II Compulsory 3 0 8
27 MAT737 Kuantum Analiz I Compulsory 3 0 8
28 MAT738 Kuantum Analiz II Compulsory 3 0 8
29 MAT740 Integral Equations Compulsory 3 0 8
30 MAT741 Kümeler Teorisinden Konular Compulsory 3 0 8
31 MAT742 Riemann Olmayan Geometriler Compulsory 3 0 8
32 MAT743 Genel Topolojiden Konular I Compulsory 3 0 8
33 MAT744 Genel Topolojiden Konular II Compulsory 3 0 8
34 MAT745 Analitik Fonksiyonlar I Compulsory 3 0 8
35 MAT746 Analitik Fonksiyonlar II Compulsory 3 0 8
36 MAT747 Metrik Sabit Nokta Teorisi Compulsory 3 0 8
37 MAT748 Topolojik Vektör Uzayları Compulsory 3 0 8
38 MAT749 İntegrasyon Compulsory 3 0 8
39 MAT751 Manifoltların Difaransiyel Geometrisi I Compulsory 3 0 8
40 MAT752 Manifoltların Difaransiyel Geometrisi II Compulsory 3 0 8
41 MAT757 Alt Manifoltların Geometrisi I Compulsory 3 0 8
42 MAT758 Alt Manifoltların Geometrisi II Compulsory 3 0 8
43 MAT759 Kodlama Teorisi I Compulsory 3 0 8
44 MAT760 Kodlama Teorisi II Compulsory 3 0 8
45 MAT767 Lineer Sınır Değer Problemleri I Compulsory 3 0 8
46 MAT768 Lineer Sınır Değer Problemleri II Compulsory 3 0 8
47 MAT771 Varyasyonlar Hesabı Compulsory 3 0 8
48 MAT801 Manifold Teorisi I Compulsory 3 0 8
49 MAT802 Manifold Teorisi II Compulsory 3 0 8
50 MAT803 Halkalarda Çarpanlara Ayrılış Compulsory 3 0 8
51 MAT806 Soyut Ölçü Teorisi Compulsory 3 0 8
52 MAT821 Kompleks Potansiyel Teorisi Compulsory 3 0 8
53 MAT823 Dağılım Teorisi Compulsory 3 0 8
54 MAT824 Harmonik Analiz Compulsory 3 0 8
55 MAT825 Konveks Cümleler Teorisi Compulsory 3 0 8
56 MAT826 Harmonik Fonksiyonlar Compulsory 3 0 8
57 MAT857 Potansiyel Teori Compulsory 3 0 8
58 MAT861 Kesirli Hesaplar I Compulsory 3 0 8
59 MAT862 Kesirli Hesaplar II Compulsory 3 0 8
2 . Semester > MAT-S5,6,7-YL Elective - 5-6-7
No Course Unit Code Course Unit Title Type of Course T P ECTS
1 MAT701 Abstract Spaces Compulsory 3 0 8
2 MAT703 Kompleks Analiz I Compulsory 3 0 8
3 MAT704 Kompleks Analiz II Compulsory 3 0 8
4 MAT705 İleri Fonksiyonel Analiz I Compulsory 3 0 8
5 MAT706 İleri Fonksiyonel Analiz II Compulsory 3 0 8
6 MAT707 Advanced Differential Geometry I Compulsory 3 0 8
7 MAT708 İleri Diferansiyel Geometri II Compulsory 3 0 8
8 MAT709 Commutative Algebra I Compulsory 3 0 8
9 MAT710 Commutative Algebra II Compulsory 3 0 8
10 MAT712 Ayrıcalıklı Lie Cebirleri Compulsory 3 0 8
11 MAT713 Halka ve Modül Teorisi I Compulsory 3 0 8
12 MAT714 Ring and Module Theory II Compulsory 3 0 8
13 MAT721 İleri Topoloji I Compulsory 3 0 8
14 MAT722 İleri Topoloji II Compulsory 3 0 8
15 MAT723 Yalınkat Fonksiyonlar Teorisi Compulsory 3 0 8
16 MAT724 Soyut Ölçü Teorisi Compulsory 3 0 8
17 MAT725 Lineer Operatör Teorisi Compulsory 3 0 8
18 MAT726 Meromorfik Fonksiyonlar Compulsory 3 0 8
19 MAT727 Özel Tanımlı Fonksiyonlar Compulsory 3 0 8
20 MAT728 Sınırsız Operatör Teorisi Compulsory 3 0 8
21 MAT729 Klasik Cebirler Compulsory 3 0 8
22 MAT730 Theory of Modules Compulsory 3 0 8
23 MAT731 Fields and Galois Theory Compulsory 3 0 8
24 MAT732 Tensör Cebrinden Seçme Konular Compulsory 3 0 8
25 MAT733 İntegral Dönüşümleri I Compulsory 3 0 8
26 MAT734 İntegral Dönüşümleri II Compulsory 3 0 8
27 MAT737 Kuantum Analiz I Compulsory 3 0 8
28 MAT738 Kuantum Analiz II Compulsory 3 0 8
29 MAT740 Integral Equations Compulsory 3 0 8
30 MAT741 Kümeler Teorisinden Konular Compulsory 3 0 8
31 MAT742 Riemann Olmayan Geometriler Compulsory 3 0 8
32 MAT743 Genel Topolojiden Konular I Compulsory 3 0 8
33 MAT744 Genel Topolojiden Konular II Compulsory 3 0 8
34 MAT745 Analitik Fonksiyonlar I Compulsory 3 0 8
35 MAT746 Analitik Fonksiyonlar II Compulsory 3 0 8
36 MAT747 Metrik Sabit Nokta Teorisi Compulsory 3 0 8
37 MAT748 Topolojik Vektör Uzayları Compulsory 3 0 8
38 MAT749 İntegrasyon Compulsory 3 0 8
39 MAT751 Manifoltların Difaransiyel Geometrisi I Compulsory 3 0 8
40 MAT752 Manifoltların Difaransiyel Geometrisi II Compulsory 3 0 8
41 MAT757 Alt Manifoltların Geometrisi I Compulsory 3 0 8
42 MAT758 Alt Manifoltların Geometrisi II Compulsory 3 0 8
43 MAT759 Kodlama Teorisi I Compulsory 3 0 8
44 MAT760 Kodlama Teorisi II Compulsory 3 0 8
45 MAT767 Lineer Sınır Değer Problemleri I Compulsory 3 0 8
46 MAT768 Lineer Sınır Değer Problemleri II Compulsory 3 0 8
47 MAT771 Varyasyonlar Hesabı Compulsory 3 0 8
48 MAT801 Manifold Teorisi I Compulsory 3 0 8
49 MAT802 Manifold Teorisi II Compulsory 3 0 8
50 MAT803 Halkalarda Çarpanlara Ayrılış Compulsory 3 0 8
51 MAT806 Soyut Ölçü Teorisi Compulsory 3 0 8
52 MAT821 Kompleks Potansiyel Teorisi Compulsory 3 0 8
53 MAT823 Dağılım Teorisi Compulsory 3 0 8
54 MAT824 Harmonik Analiz Compulsory 3 0 8
55 MAT825 Konveks Cümleler Teorisi Compulsory 3 0 8
56 MAT826 Harmonik Fonksiyonlar Compulsory 3 0 8
57 MAT857 Potansiyel Teori Compulsory 3 0 8
58 MAT861 Kesirli Hesaplar I Compulsory 3 0 8
59 MAT862 Kesirli Hesaplar II Compulsory 3 0 8

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