General Description
Department of Mathematics began to give instructions for bachelor, master and PhD levels in 1983. Binary training has been implemented since 1992.
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.
First Cycle (Bachelor´s Degree). This is a first cycle degree program in the science of Mathematics (240 ECTS).
You will be awarded, on successful completion of the programme and gain competencies, a degree of undergraduate in Mathematics.
First Cycle
4
Specific Admission Requirements
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 undergraduate 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
To obtain Bachelors Degree in Mathematics field, it is reguire that weighted grade avarage of a student must be at least 2.0 points out of 4.00, and that compulsory and elective courses (total 240 ECTS) in Mathematics program must be successfully completed.
7
Profile of The Programme
The aim of the department of Mathematics is to give quality education creating patriotic individuals with cultural experience and communicative capability, have developed ability for research and problem solving, able to guide the people around them; to provide the necessary mathematical infrastructure for the social, cultural, economical, scientific, and technological improvement of the nation and mankind by means of researches and to apply and spread the produced knowledge.
The vision of the department of Mathematics is to train graduates having basic mathematical understanding, able to offer solutions to current problems and open to continuous development; to prepare the infrastructure that will help solve the problems that the world of science is and will be encountered with by means of researches and to become a worldwide-preferred department with the program it offers.
8
Key Learning Outcomes & Classified & Comparative
1.
has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment.
|
2.
evaluates the concepts of mathematics science and analyzes the theorems and encountered problems by evidence based scientific methods.
|
3.
has the knowledge of computer software information as a mathematician needs.
|
4.
has qualifications to carry out the advanced studies independently or in partnership in undergraduate mathematics subjects.
|
5.
improves the ability of abstract thinking.
|
6.
has been able to communicate with colleagues and follow the topics in math science thanks to proficient foreign language skills.
|
7.
creates mathematical models of the current problems.
|
8.
capable of objective and analytical thinking.
|
9.
has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics.
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10.
gains skill for efficient communication using written, spoken, and visual tools.
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9
Occupational Profiles of Graduates With Examples
The graduates of the the department can find an employment in the sectors university, education, in banks, government agencies (State Institute of Statistics, etc.) and in the private sector.
10
Access to Further Studies
Upon a successful completion of the programme, student may continue with masters study in the same or similar scientific areas, which may accept students from the science of Mathematics.
11
Examination Regulations, Assessment and Grading
Students must attend courses and examinations. Students attendance has to be followed by the instructor. A mid-term exam and final exam is held for each course in each semester. In the mid-term and final exams, the grade is evaluated by the sum of 40% of the midterm exam and 60% of the final exam grade.
12
Graduation Requirements
To complete this program succesfully, it is reguired that weighted grade avarage of a student must be at least 2.0 points out of 4.00, and that compulsory and elective courses (total of 240 ECTS) in Mathematics program must be successfully completed.
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 |
BMB1002 |
INTRODUCTION TO COMPUTER PROGRAMMING |
Compulsory |
2 |
0 |
2 |
4 |
MAT1001 |
ANALYSIS I |
Compulsory |
4 |
2 |
0 |
8 |
MAT1003 |
LINEAR ALGEBRA I |
Compulsory |
3 |
2 |
0 |
7 |
MAT1005 |
ABSTRACT MATHEMATICS I |
Compulsory |
3 |
0 |
0 |
5 |
MAT1009 |
CAREER PLANNING |
Compulsory |
1 |
0 |
0 |
1 |
ATA101 |
ATATURK'S PRINCIPALS AND HISTORY OF REVOLUTIONS I |
Compulsory |
2 |
0 |
0 |
2 |
TUD101 |
TURKISH LANGUAGE I |
Compulsory |
2 |
0 |
0 |
2 |
YAD101 |
FOREIGN LANGUAGE I |
Compulsory |
2 |
0 |
0 |
2 |
|
Click to choose optional courses.
|
|
|
|
|
2 |
Total |
|
33 |
2. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
BMB1008 |
MATHEMATICS WITH COMPUTER |
Compulsory |
2 |
2 |
0 |
4 |
MAT1002 |
ANALYSIS II |
Compulsory |
4 |
2 |
0 |
8 |
MAT1004 |
LINEAR ALGEBRA II |
Compulsory |
3 |
2 |
0 |
7 |
MAT1006 |
ABSTRACT MATHEMATICS II |
Compulsory |
3 |
0 |
0 |
5 |
ATA102 |
ATATURK'S PRINCIPLES AND HISTORY OF REVOLUTIONS II |
Compulsory |
2 |
0 |
0 |
2 |
TUD102 |
TURKISH LANGUAGE II |
Compulsory |
2 |
0 |
0 |
2 |
YAD102 |
FOREIGN LANGUAGE II |
Compulsory |
2 |
0 |
0 |
2 |
|
Click to choose optional courses.
|
|
|
|
|
2 |
Total |
|
32 |
3. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
FZK2073 |
INTRODUCTION TO PHYSICS I |
Compulsory |
2 |
0 |
2 |
4 |
MAT2001 |
ANALYSIS III |
Compulsory |
4 |
2 |
0 |
10 |
MAT2013 |
ANALYTIC GEOMETRY I |
Compulsory |
2 |
2 |
0 |
4 |
MAT2015 |
DIFFERENTIAL EQUATIONS I |
Compulsory |
2 |
2 |
0 |
4 |
MAT2017 |
PROBABILTY AND STATISTICS |
Compulsory |
2 |
2 |
0 |
4 |
|
Click to choose optional courses.
|
|
|
|
|
4 |
Total |
|
30 |
4. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
FZK2074 |
INTRODUCTION TO PHYSICS II |
Compulsory |
2 |
0 |
2 |
4 |
MAT2002 |
ANALYSIS IV |
Compulsory |
4 |
2 |
0 |
10 |
MAT2014 |
ANALYTIC GEOMETRY II |
Compulsory |
2 |
2 |
0 |
4 |
MAT2016 |
DIFFERENTIAL GEUATIONS II |
Compulsory |
2 |
2 |
0 |
4 |
MAT2028 |
METRIC SPACES |
Compulsory |
3 |
0 |
0 |
4 |
|
Click to choose optional courses.
|
|
|
|
|
4 |
Total |
|
30 |
5. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
MAT3011 |
COMPLEX FUNCTIONS THEORY I |
Compulsory |
2 |
2 |
0 |
7 |
MAT3015 |
DIFFERENTIAL GEOMETRY I |
Compulsory |
2 |
2 |
0 |
6 |
MAT3017 |
PARTIAL DIFFERANTIAL EQUATIONS ELECTIVE |
Compulsory |
2 |
2 |
0 |
6 |
MAT3019 |
NUMBER THEORY |
Compulsory |
2 |
2 |
0 |
6 |
|
Click to choose optional courses.
|
|
|
|
|
5 |
Total |
|
30 |
6. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
MAT3012 |
COMPLEX FUNCTIONS THEORY II |
Compulsory |
2 |
2 |
0 |
7 |
MAT3016 |
DIFFERANTIAL GEOMETRY II |
Compulsory |
2 |
2 |
0 |
6 |
MAT3018 |
TOPOLOGY |
Compulsory |
2 |
2 |
0 |
6 |
MAT3020 |
ABSTRACT ALGEBRA |
Compulsory |
2 |
2 |
0 |
6 |
|
Click to choose optional courses.
|
|
|
|
|
5 |
Total |
|
30 |
1. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
YAD111 |
GERMAN II |
Optional |
2 |
0 |
0 |
2 |
YAD121 |
FOREIGN LANGUAGE I (FRENCH) |
Optional |
2 |
0 |
0 |
2 |
2. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
YAD102 |
FOREIGN LANGUAGE (ENGLISH) - II |
Optional |
2 |
0 |
0 |
2 |
YAD112 |
GERMAN TEACHING II |
Optional |
2 |
0 |
0 |
2 |
YAD122 |
FOREIGN LANGUAGE II (FRENCH) |
Optional |
2 |
0 |
0 |
2 |
3. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
ARK0505 |
MYTHOLOGY |
Optional |
3 |
0 |
0 |
4 |
ARK0507 |
ANATOLIAN CIVILIZATIONS |
Optional |
3 |
0 |
0 |
4 |
ARK0509 |
ANCIENT ARCHITECTURE |
Optional |
3 |
0 |
0 |
4 |
ARK0516 |
MONUMENTAL BUILDINGS IN ANCIENT PERIOD |
Optional |
3 |
0 |
0 |
4 |
ARK0517 |
MYSTERY OF ARCHAEOLOGY |
Optional |
3 |
0 |
0 |
4 |
ARK0518 |
TECHNOLOGY IN ANCIENT PERIOD |
Optional |
3 |
0 |
0 |
4 |
ARK0519 |
ENGINEERNG IN ANCIENT PERIOD |
Optional |
3 |
0 |
0 |
4 |
ARK0520 |
HISTORY OF THE MONEY |
Optional |
3 |
0 |
0 |
4 |
ARK0521 |
ECONOMY IN ANCIENT PERIOD |
Optional |
3 |
0 |
0 |
4 |
ARK0524 |
ROMAN MYTHOLOGY |
Optional |
3 |
0 |
0 |
4 |
ARK0525 |
GREEK MYTHOLOGY |
Optional |
3 |
0 |
0 |
4 |
ARK0526 |
THE ARCHAEOLOGY OF KNOWLEDGE |
Optional |
3 |
0 |
0 |
4 |
ARK0527 |
ROMAN EMPERORS |
Optional |
3 |
0 |
0 |
4 |
ARK0529 |
ROMAN ARCHAEOLOGY |
Optional |
3 |
0 |
0 |
4 |
ARK0541 |
ANCIENT CITIES |
Optional |
3 |
0 |
0 |
4 |
BYL0526 |
HISTORY OF BIOLOGY |
Optional |
2 |
0 |
0 |
4 |
BYL0528 |
LIVE PLANT MUSEUMS |
Optional |
2 |
0 |
0 |
4 |
BYL0535 |
TOXIC SUBTANCES AND ITS BIOLOGICAL EFFECTS ON ORGANISMS |
Optional |
2 |
0 |
0 |
4 |
BYL0537 |
INTRODUCTION TO DUSTING BIOLOGY |
Optional |
2 |
0 |
0 |
4 |
COG0501 |
TURKISH WORLD GEOGRAPHY |
Optional |
2 |
0 |
0 |
4 |
COG0503 |
ENVIRONMENTAL PROBLEMS AND GEOGRAPHY |
Optional |
2 |
0 |
0 |
4 |
FLS 0525 |
HISTORY OF SCIENCE I |
Optional |
2 |
0 |
0 |
4 |
FLS0511 |
CONTEMPORARY PHILOSOPHICAL TRENDS |
Optional |
3 |
0 |
0 |
4 |
FLS0512 |
HUMAN RIGHTS AND ETHICS |
Optional |
3 |
0 |
0 |
4 |
FLS0515 |
HUMAN RIGHTS AND ETHICS I |
Optional |
3 |
0 |
0 |
4 |
FLS0516 |
INTRODUCTION TO PHILOSOPHY II |
Optional |
3 |
0 |
0 |
4 |
FLS0528 |
SCIENCE AND PHILOSOPHY II |
Optional |
2 |
0 |
0 |
4 |
KIM0501 |
CHEMISTRY AND SOCIETY |
Optional |
3 |
0 |
0 |
4 |
KIM0502 |
INTRODUCTION TO ENVIRONMENTAL SCIENCE |
Optional |
3 |
0 |
0 |
4 |
KIM0504 |
HISTORY OF CHEMISTRY |
Optional |
3 |
0 |
0 |
4 |
KIM0505 |
CHEMICAL INDUSTRY IN TURKEY |
Optional |
3 |
0 |
0 |
4 |
KIM0508 |
THE HISTORY OF SCIENCE AND TECHNOLOGY |
Optional |
3 |
0 |
0 |
4 |
KIM0510 |
CHEMICAL RISKS |
Optional |
3 |
0 |
0 |
4 |
MBG0505 |
HUMAN GENETICS |
Optional |
3 |
0 |
0 |
4 |
MBG0506 |
GENETICS OF PSYCHIATRIC DISEASES |
Optional |
3 |
0 |
0 |
4 |
MBG0507 |
METABOLISM OF LIPOPROTEINS |
Optional |
3 |
0 |
0 |
4 |
MBG0508 |
OBESITY AND GENES |
Optional |
3 |
0 |
0 |
4 |
MBG0509 |
CANCER BIOLOGY AND GENETICS |
Optional |
3 |
0 |
0 |
4 |
MBG0510 |
GENE THERAPY |
Optional |
3 |
0 |
0 |
4 |
PSİ0502 |
INTRODUCTION TO PSYCHOLOGY |
Optional |
2 |
0 |
0 |
4 |
SAT0501 |
ANATOLIAN ART I |
Optional |
2 |
0 |
0 |
4 |
SAT0504 |
ANATOLIAN ART II |
Optional |
2 |
0 |
0 |
4 |
SAT0505 |
ISTANBUL THROUGH THE AGES |
Optional |
2 |
0 |
0 |
4 |
SAT0508 |
FROM SHELTER TO CITY: SETTLEMENT HISTORY |
Optional |
2 |
0 |
0 |
4 |
SAT0517 |
INTRODUCTION OF NUMISMATIC I |
Optional |
2 |
0 |
0 |
4 |
SAT0518 |
INTRODUCTION OF NUMISMATIC II |
Optional |
2 |
0 |
0 |
4 |
TDE0501 |
CURRENT LANGUAGE PROBLEMS |
Optional |
2 |
0 |
0 |
4 |
TDE0509 |
LITERATURE AND LIFE |
Optional |
2 |
0 |
0 |
4 |
TDE0510 |
METHODS OF EFFECTIVE SPEAKING |
Optional |
2 |
0 |
0 |
4 |
TDE0511 |
BASIC OTTOMAN TURKISH |
Optional |
2 |
0 |
0 |
4 |
TDE0512 |
LITERATURE AND COMMUNICATION |
Optional |
2 |
0 |
0 |
4 |
TDE0514 |
OTTOMAN TURKISH TEXTS |
Optional |
2 |
0 |
0 |
4 |
TRH0512 |
TURKISH HISTORY AND CULTURE |
Optional |
2 |
0 |
0 |
4 |
PFE2001 |
INTRODUCTION TO EDUCATION |
Optional |
3 |
0 |
0 |
4 |
4. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
ARK0508 |
DAILY LIFE IN ANTIQUITY |
Optional |
3 |
0 |
0 |
4 |
ARK0512 |
ROMAN ARCHITECTURE |
Optional |
3 |
0 |
0 |
4 |
ARK0514 |
BURSA IN ANCIENT PERIOD |
Optional |
3 |
0 |
0 |
4 |
FLS0512 |
HUMAN RIGHTS AND ETHICS II |
Optional |
3 |
0 |
0 |
4 |
FLS0532 |
PHILOSOPHY OF ECOLOGY |
Optional |
2 |
0 |
0 |
4 |
FLS0534 |
PHILOSOPHY OF SCIENCE |
Optional |
2 |
0 |
0 |
4 |
PFE2002 |
PSYCHOLOGY OF EDUCATION |
Optional |
3 |
0 |
0 |
4 |
5. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
BMB3047 |
LINEAR ALGEBRA AND DIFFERANTIAL EQUATIONS WITH MAPLE |
Optional |
3 |
0 |
0 |
5 |
BMB3051 |
ADVANCED OBJECTIVE PROGRAMMING |
Optional |
3 |
0 |
0 |
5 |
MAT3037 |
VECTORIAL ANALYSIS |
Optional |
3 |
0 |
0 |
5 |
MAT3039 |
MATHEMATICAL STATISTICS |
Optional |
3 |
0 |
0 |
5 |
MAT3041 |
DIFFERENTIAL EGUATIONS SYSTEMS |
Optional |
3 |
0 |
0 |
5 |
MAT3043 |
SPECIAL FUNCTIONS ON MATHEMATICS |
Optional |
3 |
0 |
0 |
5 |
MAT3053 |
VECTORAL PRINCIPLES OF GEOMETRY |
Optional |
3 |
0 |
0 |
5 |
MAT3057 |
TRANSFORMATIONS AND GEOMETRIES I |
Optional |
3 |
0 |
0 |
5 |
PFE3001 |
SPECIAL TEACHING METHODS |
Optional |
3 |
0 |
0 |
4 |
PFE3003 |
INSTRUCTION PRINCIPLES AND METHODS |
Optional |
3 |
0 |
0 |
4 |
6. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
BMB3056 |
SOFTWORE DEVELOPMENT TECHNIQUE |
Optional |
3 |
0 |
0 |
5 |
BMB3066 |
SPACIAL TOPICS WITH MAPLE |
Optional |
3 |
0 |
0 |
5 |
MAT3036 |
HISTORY OF MATHEMATICS |
Optional |
3 |
0 |
0 |
5 |
MAT3044 |
NUMERICAL ANALYSIS |
Optional |
3 |
0 |
0 |
5 |
MAT3050 |
INTEGRAL TRANSFORMATIONS |
Optional |
3 |
0 |
0 |
5 |
MAT3052 |
ANALYTIC NUMBER THEROY |
Optional |
3 |
0 |
0 |
5 |
MAT3054 |
FOURIER SERIES AND INTEGRALS |
Optional |
3 |
0 |
0 |
5 |
MAT3058 |
TRANSFORMATIONS AND GEOMETRIES II |
Optional |
3 |
0 |
0 |
5 |
MAT3060 |
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS |
Optional |
3 |
0 |
0 |
5 |
MAT3062 |
MATRIX THEORY |
Optional |
3 |
0 |
0 |
5 |
MAT3064 |
SET THEORY |
Optional |
3 |
0 |
0 |
5 |
MAT3068 |
CRYPTOLOGY |
Optional |
3 |
0 |
0 |
5 |
PFE3002 |
TEACHING TECHNOLOGIES |
Optional |
2 |
0 |
0 |
3 |
PFE3004 |
MEASUREMENT AND EVALUATION IN EDUCATION |
Optional |
3 |
0 |
0 |
4 |
7. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
BMB4087 |
COMPUTER AIDED DESIGN |
Optional |
3 |
0 |
0 |
6 |
MAT4033 |
GEOMETRIES |
Optional |
3 |
0 |
0 |
6 |
MAT4035 |
ANALYTIC FUNCTIONS |
Optional |
3 |
0 |
0 |
6 |
MAT4041 |
THE METHODS OF APPLIED MATHEMATICS I |
Optional |
3 |
0 |
0 |
6 |
MAT4043 |
FOURIER ANALYSIS |
Optional |
3 |
0 |
0 |
6 |
MAT4047 |
ALGORITHM DEVELOPMENT |
Optional |
3 |
0 |
0 |
6 |
MAT4063 |
NUMERICAL SOLUTIONS OF DIFERENTIAL EQUATIONS |
Optional |
3 |
0 |
0 |
6 |
MAT4077 |
ALGEBRAIC TOPOLOGY I |
Optional |
3 |
0 |
0 |
6 |
MAT4081 |
INTRODUCTION TO THE THEORY OF ELLIPTIC CURVES |
Optional |
3 |
0 |
0 |
6 |
MAT4083 |
MATHEMATICS WITH MATLAB |
Optional |
3 |
0 |
0 |
6 |
MAT4085 |
FRACTAL GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
MAT4089 |
APPLICATIONS OF LINEAR ALGEBRA |
Optional |
3 |
0 |
0 |
6 |
MAT4091 |
TENSOR ANALYSIS ON MANIFOLDS |
Optional |
3 |
0 |
0 |
6 |
MAT4093 |
SPECIAL FUNCTIONS |
Optional |
3 |
0 |
0 |
6 |
MAT4095 |
INTRODUCTION TO GRAPH THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4097 |
INTRODUCTION TO GEOMETRIC APPLICATIONS |
Optional |
3 |
0 |
0 |
6 |
MAT4109 |
FINANCIAL MATHEMATICS |
Optional |
3 |
0 |
0 |
6 |
MAT4111 |
GRADUATE PRACTICE I |
Optional |
3 |
0 |
0 |
6 |
MAT4113 |
INTRODUCTION TO AXIOMATIC GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
MAT4115 |
INTRODUCTION TO FUNCTIONAL ANALYSIS |
Optional |
3 |
0 |
0 |
6 |
MAT4117 |
COMMUTATIVE ALGEBRA |
Optional |
3 |
0 |
0 |
6 |
MAT4119 |
INTRODUCTION TO SPECIAL NUMBERS THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4121 |
SPECIAL TOPICS IN RING THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4123 |
GEOMETRIC ALGEBRA AND APPLIED ANALYSIS I |
Optional |
3 |
0 |
0 |
6 |
PFE4001 |
CLASSROOM MANAGEMENT |
Optional |
2 |
0 |
0 |
3 |
8. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
BMB4076 |
WEB DESIGN |
Optional |
3 |
0 |
0 |
6 |
MAT4030 |
LINEAR PROGRAMMING |
Optional |
3 |
0 |
0 |
6 |
MAT4032 |
INTEGRAL EQUATIONS |
Optional |
3 |
0 |
0 |
6 |
MAT4036 |
INTRODUCTION TO DIFFERENTIABLE MANIFOLDS |
Optional |
3 |
0 |
0 |
6 |
MAT4040 |
CONFORMAL MAPPINGS |
Optional |
3 |
0 |
0 |
6 |
MAT4042 |
INTRODUCTION TO RIEMANN SURFACES |
Optional |
3 |
0 |
0 |
6 |
MAT4044 |
DESIGN GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
MAT4046 |
INTRODUCTION TO FIELD THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4048 |
PROJECTIVE GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
MAT4050 |
MEASURE THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4062 |
BOUNDARY-VALUE PROBLEMS |
Optional |
3 |
0 |
0 |
6 |
MAT4066 |
THE METHODS OF APPLIED MATHEMATICS II |
Optional |
3 |
0 |
0 |
6 |
MAT4068 |
DIFFERENCE EQUATIONS |
Optional |
3 |
0 |
0 |
6 |
MAT4070 |
QUADRATIC FORMS |
Optional |
3 |
0 |
0 |
6 |
MAT4072 |
FUNCTIONAL ANALYSIS METHODS |
Optional |
3 |
0 |
0 |
6 |
MAT4078 |
ALGEBRAIC TOPOLOGY II |
Optional |
3 |
0 |
0 |
6 |
MAT4082 |
INTRODUCTION TO THE THEORY OF ELLIPIC CURVES |
Optional |
3 |
0 |
0 |
6 |
MAT4084 |
INTRODUCTION TO HYPERBOLIC MANIFOLD THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4086 |
INEQUALITIES |
Optional |
3 |
0 |
0 |
6 |
MAT4088 |
INFINITE SERIES |
Optional |
3 |
0 |
0 |
6 |
MAT4090 |
ADVANCED GROUP THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4094 |
INTRODUCTION TO MOLECULAR GRAPH THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4096 |
TENSOR SPACES AND THEIR APPLICATIONS |
Optional |
3 |
0 |
0 |
6 |
MAT4098 |
APPLICATIONS OF GEOMETRY |
Optional |
3 |
0 |
0 |
6 |
MAT4100 |
GALOIS THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4108 |
INTRODUCTION TO ALGEBRAIC NUMBER THEORY |
Optional |
3 |
0 |
0 |
6 |
MAT4110 |
MATHEMATIC WITH PYTHON |
Optional |
3 |
0 |
0 |
6 |
MAT4112 |
GRADUATE PRACTICE II |
Optional |
3 |
0 |
0 |
6 |
MAT4114 |
GEOMETRIC ALGEBRA AND APPLIED ANALYSIS II |
Optional |
3 |
0 |
0 |
6 |
MAT4116 |
MATHEMATICAL ASPECTS OF CRYPTOGRAPHY |
Optional |
3 |
0 |
0 |
6 |
PFE4002 |
GUIDANCE AND SPECIAL EDUCATION |
Optional |
3 |
0 |
0 |
4 |
PFE-MEB |
TEACHING PRACTICE |
Optional |
1 |
8 |
0 |
10 |