Mathematics Integrated PhD Program
General Description
Department of Mathematics began to give instructions for bachelor, 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.
Third Cycle (Doctorate Degree). This is a third cycle degree program in the science of Mathematics (300 ECTS).
You will be awarded, on successful completion of the programme and gain competencies, a degree of Doctorate in Mathematics.
Third 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
Doctorate degree in the Mathematics field are given that students: taking at least 45 credits (150 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 75 point of 100 points for the courses, and finally defending successfully the thesis (120 ECTS) related to his/her subject in front of the selected jury.
7
Profile of The Programme
Finding new methods, new applications and also new developments for some known principle and rulers, in the fields of Mathematics.
8
Key Learning Outcomes & Classified & Comparative
|
1.
evaluates the fundamental notions, teories and data with academic methods, and so solves the encountered problems.
|
|
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.
|
|
3.
has the ability to conduct original research and independent publication.
|
|
4.
writes a software programme for mathematical calculations.
|
|
5.
applies the digested knowledge and problem solving ability in the collaborations between different groups.
|
|
6.
has an advanced level of critical thinking skills.
|
|
7.
solves advanced problems using standard mathematical techniques.
|
|
8.
applies problem solving abilities in the interdisciplinary studies and evaluate the results by taking into account the quality process in area of expertise.
|
|
9.
uses mathematic as the language of science.
|
|
10.
transfers systematically the current developments, studies to other people as verbal or written form confidently.
|
9
Occupational Profiles of Graduates With Examples
Education field, Researcher in Universities
10
Access to Further Studies
The student who completed succesfully to this program can work in the area of the Mathematics science or in the areas which accept lecturer from this area.
11
Examination Regulations, Assessment and Grading
In Doctorate Program, each student must enroll to the lessons and since he sits for a final examination, he must attend at least 70% of the courses. Students must take at least one exam at the end of the semester. Examination is evaluated on the basis of 100. Students cumulative grade point average has to be at least 75 to be successful from Doctorate Program. Students, who get one of AA, BA, BB, or CB 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 150 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 |
| MAT6181 |
ADVANCED TOPICS IN PHD THESIS I |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6191 |
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 |
| MAT6182 |
ADVANCED TOPICS IN PHD THESIS II |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6192 |
THESIS CONSULTING II |
Compulsory |
0 |
1 |
0 |
1 |
|
Click to choose optional courses.
|
|
|
|
|
24 |
| Total |
|
30 |
| 3. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6183 |
ADVANCED TOPICS IN PHD THESIS III |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6193 |
THESIS CONSULTANTS III |
Compulsory |
0 |
1 |
0 |
1 |
|
Click to choose optional courses.
|
|
|
|
|
24 |
| Total |
|
30 |
| 4. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| FEN5000 |
RESEARCH TECHNIQUES AND PUBLICATION ETHICS |
Compulsory |
2 |
0 |
0 |
2 |
| FEN6002 |
TECHNOLOGY TRANSFER, R-D AND INNOVATION |
Compulsory |
2 |
0 |
0 |
2 |
| MAT6174 |
SEMINAR |
Compulsory |
0 |
2 |
0 |
2 |
| MAT6184 |
ADVANCED TOPICS IN PHD THESIS IV |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6194 |
THESIS CONSULTANTS IV |
Compulsory |
0 |
1 |
0 |
1 |
|
Click to choose optional courses.
|
|
|
|
|
18 |
| Total |
|
30 |
| 5. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6185 |
ADVANCED TOPICS IN PHD THESIS V |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6195 |
THESIS CONSULTING V |
Compulsory |
0 |
1 |
0 |
15 |
| YET6177 |
PHD PROFICIENCY EXAMINATION |
Compulsory |
0 |
0 |
0 |
10 |
| Total |
|
30 |
| 6. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6186 |
ADVANCED TOPICS IN PHD THESIS VI |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6196 |
THESIS CONSULTING VI |
Compulsory |
0 |
1 |
0 |
25 |
| Total |
|
30 |
| 7. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6187 |
PHD SPECIALISED FIELD COURSE VII |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6197 |
THESIS CONSULTING VII |
Compulsory |
0 |
1 |
0 |
25 |
| Total |
|
30 |
| 8. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6188 |
PHD SPECIALISED FIELD COURSE VIII |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6198 |
THESIS CONSULTING VIII |
Compulsory |
0 |
1 |
0 |
25 |
| Total |
|
30 |
| 9. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6189 |
ADVANCED TOPICS IN PHD IX |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6199 |
PHD THESIS IX |
Compulsory |
0 |
1 |
0 |
25 |
| Total |
|
30 |
| 10. Semester |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6190 |
SPECIAL TOPICS IN PHD THESIS X |
Compulsory |
4 |
0 |
0 |
5 |
| MAT6200 |
PHD THESIS CONSULTING X |
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 |
| 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 |
| MAT5429 |
ELLIPTIC CURVES AND ARITHMETIC GEOMETRY 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 |
| 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 |
| MAT5406 |
ADVANCED NUMERICAL ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5410 |
BOUNDARY VALUE PROBLEMS II |
Optional |
3 |
0 |
0 |
6 |
| MAT5412 |
PARTIAL DIFFERENTIAL EQUATIONS 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 |
| 3. Semester Optional Courses |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6103 |
RIEMANN SURFACES I |
Optional |
3 |
0 |
0 |
6 |
| MAT6105 |
UNIVALENT FUNCTIONS I |
Optional |
3 |
0 |
0 |
6 |
| MAT6107 |
FUNCTIONS OF COMPLEX VARIABLES I |
Optional |
3 |
0 |
0 |
6 |
| MAT6109 |
HARMONIC MAPPINGS I |
Optional |
3 |
0 |
0 |
6 |
| MAT6111 |
THEORY OF ELLIPTIC CURVES AND ITS APPLICALTIONS I |
Optional |
3 |
0 |
0 |
6 |
| MAT6117 |
P-ADIC ANALYSIS I |
Optional |
3 |
0 |
0 |
6 |
| MAT6201 |
ABSTRACT ALGEBRA I |
Optional |
3 |
0 |
0 |
6 |
| MAT6205 |
GEOMETRIC NUMBER THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT6207 |
ADVANCED ANALYTIC NUMBER THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT6213 |
APPLIED GRAPH THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT6215 |
SPECTRAL GRAPH THEORI I |
Optional |
3 |
0 |
0 |
6 |
| MAT6303 |
ADVENCED DIFFERANTIAL GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT6307 |
ALGEBRAIC GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT6309 |
COMBINATORIAL GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT6311 |
ALGEBRAIC STRUCTURES AND PROJECTIVE GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT6313 |
AFFINE AND PROJECTIVE GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT6315 |
RIEMANNIAN GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT6317 |
SEMI-RIEMANN GEOMETRY I |
Optional |
3 |
0 |
0 |
6 |
| MAT6321 |
PROJECTIVE GEOMETRI IN NONASSOCIATIVE ALGEBRAS I |
Optional |
3 |
0 |
0 |
6 |
| MAT6323 |
LOCAL RINGS I |
Optional |
3 |
0 |
0 |
6 |
| MAT6329 |
THEORY OF TANGENT AND COTANGENT BUNDLES |
Optional |
3 |
0 |
0 |
6 |
| MAT6401 |
GENERALIZED ANALYTIC FUNCTIONS I |
Optional |
2 |
2 |
0 |
6 |
| MAT6405 |
ADVANCED PARTIAL DIFFERANTIAL EQUATIONS |
Optional |
3 |
0 |
0 |
6 |
| MAT6407 |
GENERAL ANALYTIC FUNCTIONS |
Optional |
3 |
0 |
0 |
6 |
| MAT6413 |
SELECTED TOPICS IN PARTIAL DIFFERANTIAL EQUATIONS |
Optional |
3 |
0 |
0 |
6 |
| MAT6415 |
LIE GROUPS AND CONSEVATION LAWS I |
Optional |
3 |
0 |
0 |
6 |
| MAT6417 |
GRAFS AND TOPOLOGY |
Optional |
3 |
0 |
0 |
6 |
| MAT6419 |
GRAPH INDICES RESPECT TO VERTEX DEGREE |
Optional |
3 |
0 |
0 |
6 |
| MAT6421 |
METRIC STRUCTURES IN DIFFERENTIAL GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT6423 |
GEOMETRIC MODELING IN PROBABILITY AND STATISTICS |
Optional |
3 |
0 |
0 |
6 |
| MAT6425 |
P-ADIC NUMBER THEORY I |
Optional |
3 |
0 |
0 |
6 |
| MAT6427 |
COMPUTATIONAL ALGEBRAIC NUMBER THEORY I |
Optional |
3 |
0 |
0 |
6 |
| 4. Semester Optional Courses |
| Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
| MAT6104 |
RIEMANN SURFACES II |
Optional |
3 |
0 |
0 |
6 |
| MAT6106 |
UNIVALENT FUNCTIONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6108 |
COMPLEX FUNCTIONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6110 |
HARMONIC MAPPINGS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6112 |
THEORY OF ELLIPTIC CURVES AND ITS APPLICATIONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6118 |
P-ADIC ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6202 |
ABSTRACT ALGEBRA II |
Optional |
3 |
0 |
0 |
6 |
| MAT6206 |
GEOMETRIC NUMBER THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6208 |
ADVANCED ANALYTIC NUMBER THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6214 |
APPLIED GRAPH THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6216 |
SPECTRAL GRAPH THEORI II |
Optional |
3 |
0 |
0 |
6 |
| MAT6302 |
CONTACT MANIFOLDS |
Optional |
3 |
0 |
0 |
6 |
| MAT6304 |
ADVANCED DIFFERENTIAL GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6308 |
ALGEBRAIC GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6310 |
DIAGRAM GEOMETRIES AND GEOMETRIC STRUCTURES |
Optional |
3 |
0 |
0 |
6 |
| MAT6312 |
ALGEBRAIC STRUCTURES AND PROJECTIVE GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6316 |
RIEMANIAN GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6318 |
SEMI-RIEMANIAN GEOMETRY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6320 |
VECTORIAL APPROACH METHODS TO GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
| MAT6322 |
PROJECTIVE GEOMETRI IN NONASSOCIATIVE ALGEBRAS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6324 |
LOCAL RINGS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6402 |
GENERALIZED ANALYTIC FUNCTIONS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6406 |
ADVANCED SPECIAL FUNCTIONS |
Optional |
3 |
0 |
0 |
6 |
| MAT6416 |
LIE GROUPS AND CONSEVATION LAWS II |
Optional |
3 |
0 |
0 |
6 |
| MAT6418 |
GRAFS AND COLORING |
Optional |
3 |
0 |
0 |
6 |
| MAT6420 |
GRAPH INDICES RESPECT TO DISTANCE |
Optional |
3 |
0 |
0 |
6 |
| MAT6426 |
P-ADIC NUMBER THEORY II |
Optional |
3 |
0 |
0 |
6 |
| MAT6428 |
COMPUTATIONAL ALGEBRAIC NUMBER THEORY II |
Optional |
3 |
0 |
0 |
6 |
