General Description
The Graduate School was established in 1982 as a unit dependent to the Rectorate of Uludağ University, according to the Article 19 of the Law on Higher Education, Law Number 2547.
Department of Mathematics began to give instructions for master and PhD levels in 1983.
Department of Mathematics consists of six main branches of science. These are: Analysis and Function Theory, Geometry, Applied Mathematics, Algebra and Number Theory, Fundamentals of Mathematics and Logic, and Topology.
Second Cycle (Masters Degree). This is a second cycle degree program in the science of Mathematics (120 ECTS).
You will be awarded, on successful completion of the programme and gain competencies, a degree of Masters in Mathematics.
Second Cycle
4
Specific Admission Requirements
Students, willing to enrol in this graduate programme, must comply with the legal and academic requirements to access the studies in Uludag University according to the process established by the YÖK (Higher Education Council) regulations. The detail information about the application (once or sometimes twice a year) and access requirements are released before academic year starts on its web site (www.uludag.edu.tr). Students who have started studies in other universities within or outside of the country may apply for their recognition. The recognition record is unique for each student and therefore the procedure is carried out accordingly before the start of each academic year.
Under an established exchanges program or one approved by the University, exchange students from abroad may be accepted for studies on the courses taught in English. Or, if they are confident in Turkish, they may then enrol in any courses, running in Turkish. For example, Erasmus students from abroad want to spend one term or two terms in a graduate programme at Uludag University should apply to International Relation Office.
5
Specific arrangements for the recognition of prior learning
The provisions in “Regulation on Transfer among Associate and Undergraduate Degree Programs, Double Major, and Subspecialty and the Principals of Credit Transfer among Institutions in Higher Education Institutions” are applied.
6
Qualification Requirements and Regulations
Master´s degree in the Mathematics field are given that students: taking at least 21 credits (60 ECTS) from the courses which find in this graduate program or the other graduate programs that are associated with the graduate program, completing succesfully the courses, obtaining at least 70 point of 100 points for the courses, and finally defending successfully the thesis (60 ECTS) related to his/her subject in front of the selected jury.
7
Profile of The Programme
Being master of their subject, learning of the last devolopmant about own subject, and applications of them.
8
Key Learning Outcomes & Classified & Comparative
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1.
evaluates the fundamental notions, teories and data with academic methods, and so solves the encountered problems.
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|
2.
defines a problem and propose a solution for it, and to solve the problem, evaluate the results and apply them if it is necessary in the areas of expertise.
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|
3.
has the ability to conduct original research and independent publication.
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|
4.
writes a software programme for mathematical calculations.
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5.
applies the digested knowledge and problem solving ability in the collaborations between different groups.
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|
6.
has an advanced level of critical thinking skills.
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7.
solves advanced problems using standard mathematical techniques.
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|
8.
applies problem solving abilities in the interdisciplinary studies and evaluate the results by taking into account the quality process in area of expertise.
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9.
uses mathematic as the language of science.
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10.
transfers systematically the current developments, studies to other people as verbal or written form confidently.
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9
Occupational Profiles of Graduates With Examples
Education field, Researcher in Universities
10
Access to Further Studies
Upon a successful completion of the programme, student may continue with doctoral study in the same or similar scientific areas, which may accept students from the science of Mathematics.
11
Examination Regulations, Assessment and Grading
In Master Program, each student has to enrol in the school and since he sits for a final examination, he has to attend at least % 70 of the courses and %80 of the practice. Examination is evaluated on the basis of 100. Students general grade point average has to be at least 70 for to be successful from Master Program. Students, who get one of AA, BA, BB, CB, or CC letter marks, are to be succeeding at the available courses.
12
Graduation Requirements
In order to gain the degree, a student is required to take minimum 60 ECTS credits lectures (from the graduate course program) and to complete the courses successfully. In addition, the student should carry out a research under the supervision of a lecturer. Having followed the submission of thesis, the student is required to have a verbal examination on his/her work.
Full-Time
14
Address and Contact Details
Program Başkanı: Prof.Dr. İ.Naci CANGÜL
E-posta: cangul@uludag.edu.tr
Tel.: +90 224 2941756
Program Koordinatörü: Doç. Dr. Yeliz KARA ŞEN
E-posta: yelizkara@uludag.edu.tr
Tel.: +90 224 2941775
Adres: Bursa Uludağ Üniversitesi
Fen Edebiyat Fakültesi
Matematik Bölümü
16059 Bursa/TÜRKİYE
Department of Mathematics consists of twelve professors, five associate professors, four assistant professors, three lecturers, and three research assistants.
There are seven classrooms, a computer lab and a graduate classroom in our department.
In addition to undergraduate education, master and doctorate programs are available.
Master´s and PhD programs have been realized under the Institute of Science and Technology.
The students have the chance to make use of the exchange programs: Erasmus and Farabi.
| 1. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT5181 |
ADVANCED TOPICS IN MA THESIS I |
Compulsory |
4 |
0 |
0 |
5 |
| MAT5191 |
THESIS CONSULTING I |
Compulsory |
0 |
1 |
0 |
1 |
|
Click to choose optional courses.
|
|
|
|
|
24 |
| Total |
|
30 |
| 2. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| FEN5000 |
RESEARCH TECHNIQUES AND PUBLICATION ETHICS |
Compulsory |
2 |
0 |
0 |
2 |
| MAT5172 |
SEMINAR |
Compulsory |
0 |
2 |
0 |
4 |
| MAT5182 |
ADVANCED TOPICS IN MSC THESIS II |
Compulsory |
4 |
0 |
0 |
5 |
| MAT5192 |
THESIS CONSULTING II |
Compulsory |
0 |
1 |
0 |
1 |
|
Click to choose optional courses.
|
|
|
|
|
18 |
| Total |
|
30 |
| 3. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT5183 |
ADVANCED TOPICS IN MSC THESIS III |
Compulsory |
4 |
0 |
0 |
5 |
| MAT5193 |
THESIS CONSULTING III |
Compulsory |
0 |
1 |
0 |
25 |
| Total |
|
30 |
| 4. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT5184 |
ADVANCED TOPICS IN MSC THESIS IV |
Compulsory |
4 |
0 |
0 |
5 |
| MAT5194 |
THESIS CONSULTANTS IV |
Compulsory |
0 |
1 |
0 |
25 |
| Total |
|
30 |
| 1. Semester Optional Courses |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT5101 |
REEL ANALYSIS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5105 |
COMPLEX ANALYSIS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5107 |
ADVANCED ANALYSIS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5111 |
MULTI VARIABLE ANALYSIS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5113 |
ADVANCED FUNCTIONAL ANALYSIS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5117 |
FIELD THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5119 |
RING THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5121 |
DIOPHANT EQUATIONS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5123 |
GEOMETRIC FUNCTION THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5125 |
ANALYTICAL NUMBER THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5127 |
ADVANCED QUADRATIC FORMS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5203 |
NUMBER THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5205 |
ALGEBRA I |
Optional |
3 |
0 |
0 |
6 |
| MAT5207 |
ALGEBRAIC NUMBER THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5209 |
OTOMORF FUNCTIONS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5211 |
INTRODUCTIONS TO ALGEBRAIC GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5215 |
MODULAR FORMS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5217 |
GRAPH THEORI I |
Optional |
3 |
0 |
0 |
6 |
| MAT5219 |
TOPOLOGICAL GRAPH INDICES I |
Optional |
3 |
0 |
0 |
6 |
| MAT5305 |
GEOMETRIC MODELLING OF CURVES AND SURFACES I |
Optional |
3 |
0 |
0 |
6 |
| MAT5309 |
ADVENCED PROJECTIVE GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5311 |
LINEAR SPACES I |
Optional |
3 |
0 |
0 |
6 |
| MAT5313 |
TAXICAB GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT5315 |
THEORY OF SUB-MANIFOLDS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5317 |
DIFFERENTIABLE MANIFOLDS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5319 |
FUNDAMENTAL CONCEPTS OF GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT5321 |
MAPLE APPLICATIONS |
Optional |
3 |
0 |
0 |
6 |
| MAT5323 |
COORDINATE GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5325 |
GENERALIZED POLYGONS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5327 |
GLOBAL LORENTZIAN GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5329 |
DIFFERENTIAL GEOMETRY APPLICATIONS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5331 |
ADVANCED LINEAR ALGEBRA I |
Optional |
3 |
0 |
0 |
6 |
| MAT5405 |
ADVANCED NUMERICAL ANALYSIS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5409 |
BOUNDARY VALUE PRABLEMS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5411 |
PARTIAL DIFFERENTIAL EQUATIONS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5415 |
TRANSFORMATION GROUPS AND LIE ALGEBRAS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5417 |
GRAFS AND MATRICS |
Optional |
3 |
0 |
0 |
6 |
| MAT5419 |
MODERN GEOMETRIC METHODS AND APPLICATOUNS-I |
Optional |
3 |
0 |
0 |
6 |
| MAT5421 |
DIFFERANTIAL FORMS AND APPLICATIONS |
Optional |
3 |
0 |
0 |
6 |
| MAT5425 |
INTRODUCTION TO MODULE THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5427 |
FRACTIONAL DIFFERENTIAL EQUATIONS I |
Optional |
3 |
0 |
0 |
6 |
| MAT5429 |
ELLIPTIC CURVES AND ARITHMETIC GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT5431 |
NONLINEAR DIFFERENTIAL EQUATIONS I |
Optional |
3 |
0 |
0 |
6 |
| 2. Semester Optional Courses |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT5102 |
REAL ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5106 |
COMPLEX ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5108 |
ADVANCED ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5112 |
MULTI VARIABLE ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5114 |
ADVANCED FUNCTIONAL ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5118 |
FIELD THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5120 |
RING THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5122 |
DIOPHANT EQUATIONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5124 |
GEOMETRIC FUNCTION THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5126 |
ANALYTICAL NUMBER THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5128 |
ADVANCED QUADRATIC FORMS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5204 |
NUMBER THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5206 |
ALGEBRA II |
Optional |
3 |
0 |
0 |
6 |
| MAT5208 |
ALGEBRAIC NUMBER THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5210 |
OTOMORF FUNCTIONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5212 |
INTRODUCTIONS TOALGEBRAIC GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5216 |
MODULAR FORMS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5218 |
GRAPH THEORI II |
Optional |
3 |
0 |
0 |
6 |
| MAT5220 |
TOPOLOGICAL GRAPH INDICES II |
Optional |
3 |
0 |
0 |
6 |
| MAT5302 |
ANALYSIS ON MANIFOLDS |
Optional |
3 |
0 |
0 |
6 |
| MAT5306 |
GEOMETRIC MODELING OF CURVES AND SURFACES II |
Optional |
3 |
0 |
0 |
6 |
| MAT5310 |
ADVENCED PROJECTIVE GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5312 |
LINEAR SPACES II |
Optional |
3 |
0 |
0 |
6 |
| MAT5316 |
THEORY OF SUB-MANIFOLDS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5318 |
DIFFERANTIABLE MANIFOLDS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5320 |
REAL PROJECTIVE GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT5324 |
COORDINATE GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5326 |
GENERALIZED POLYGONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5328 |
GLOBAL LORENTZIAN GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5330 |
DIFFERENTIAL GEOMETRY APPLICATIONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5332 |
ADVANCED LINEAR ALGEBRA II |
Optional |
3 |
0 |
0 |
6 |
| MAT5406 |
ADVANCED NUMERICAL ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5410 |
BOUNDARY VALUE PROBLEMS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5414 |
ELLIPTIK PARTIAL DIFFERANTIAL EQUATIONS |
Optional |
3 |
0 |
0 |
6 |
| MAT5416 |
TRANSFORMATION GROUPS AND LIE ALGEBRAS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5418 |
GRAFS AND LINEAR ALGEBRA |
Optional |
3 |
0 |
0 |
6 |
| MAT5420 |
MODERN GEOMETRIC METHODS AND APPLICATOUNS-II |
Optional |
3 |
0 |
0 |
6 |
| MAT5422 |
SINGULARITY THEORY IN DIFRERANTIAL GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT5424 |
APPLICATIONS OF RIEMAIAN TRANSFORMS |
Optional |
3 |
0 |
0 |
6 |
| MAT5426 |
INTRODUCTION TO MODULE THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5428 |
FRACTIONAL DIFFERENTIAL EQUATIONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5430 |
ELLIPTIC CURVES AND ARITHMETIC GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT5432 |
NONLINEAR DIFFERENTIAL EQUATIONS II |
Optional |
3 |
0 |
0 |
6 |
