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 worldwidepreferred 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.

10.
gains skill for efficient communication using written, spoken, and visual tools.

SKILLS 
Cognitive  Practical 
 creates mathematical models of the current problems.
 has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics.
 evaluates the concepts of mathematics science and analyzes the theorems and encountered problems by evidence based scientific methods.
 has the knowledge of computer software information as a mathematician needs.
 has qualifications to carry out the advanced studies independently or in partnership in undergraduate mathematics subjects.
 capable of objective and analytical thinking.
 has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment.
 improves the ability of abstract thinking.
 gains skill for efficient communication using written, spoken, and visual tools.

KNOWLEDGE 
Theoretical  Conceptual 
 evaluates the concepts of mathematics science and analyzes the theorems and encountered problems by evidence based scientific methods.
 has the knowledge of computer software information as a mathematician needs.
 has qualifications to carry out the advanced studies independently or in partnership in undergraduate mathematics subjects.
 has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment.
 improves the ability of abstract thinking.

COMPETENCES 
Field Specific Competence 
 creates mathematical models of the current problems.
 has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics.
 evaluates the concepts of mathematics science and analyzes the theorems and encountered problems by evidence based scientific methods.
 has qualifications to carry out the advanced studies independently or in partnership in undergraduate mathematics subjects.
 capable of objective and analytical thinking.
 has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment.

COMPETENCES 
Competence to Work Independently and Take Responsibility 
 creates mathematical models of the current problems.
 has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics.
 evaluates the concepts of mathematics science and analyzes the theorems and encountered problems by evidence based scientific methods.
 has the knowledge of computer software information as a mathematician needs.
 has qualifications to carry out the advanced studies independently or in partnership in undergraduate mathematics subjects.
 capable of objective and analytical thinking.
 has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment.
 improves the ability of abstract thinking.

COMPETENCES 
Communication and Social Competence 
 creates mathematical models of the current problems.
 has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics.
 evaluates the concepts of mathematics science and analyzes the theorems and encountered problems by evidence based scientific methods.
 has been able to communicate with colleagues and follow the topics in math science thanks to proficient foreign language skills.
 has the knowledge of computer software information as a mathematician needs.
 has qualifications to carry out the advanced studies independently or in partnership in undergraduate mathematics subjects.
 capable of objective and analytical thinking.
 has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment.
 gains skill for efficient communication using written, spoken, and visual tools.

COMPETENCES 
Learning Competence 
 creates mathematical models of the current problems.
 has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics.
 evaluates the concepts of mathematics science and analyzes the theorems and encountered problems by evidence based scientific methods.
 has qualifications to carry out the advanced studies independently or in partnership in undergraduate mathematics subjects.
 capable of objective and analytical thinking.
 has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment.
 improves the ability of abstract thinking.

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 midterm exam and final exam is held for each course in each semester. In the midterm 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.
FullTime
14
Address and Contact Details
Program Başkanı: Prof.Dr. İ.Naci CANGÜL
Eposta: cangul@uludag.edu.tr
Tel.: +90 224 2941756
Program Koordinatörü: Doç. Dr. Yeliz KARA ŞEN
Eposta: 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 
T^{1} 
U^{2} 
L^{3} 
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 
ATA101 
ATATURK'S PRINCIPALS AND HISTORY OF REVOLUTIONS I 
Compulsory 
2 
0 
0 
2 
TUD101 
TURKISH LANGUAGE I 
Compulsory 
2 
0 
0 
2 

Click to choose optional courses.





2 
Total 

30 
2. Semester 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
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 

Click to choose optional courses.





2 
Total 

30 
3. Semester 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
ECTS 
FZK2073 
INTRODUCTION TO PHYSICS I 
Compulsory 
3 
0 
0 
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 
T^{1} 
U^{2} 
L^{3} 
ECTS 
FZK2074 
INTRODUCTION TO PHYSICS II 
Compulsory 
3 
0 
0 
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 
T^{1} 
U^{2} 
L^{3} 
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 
ABSTRACT ALGEBRA 
Compulsory 
2 
2 
0 
6 

Click to choose optional courses.





5 
Total 

30 
6. Semester 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
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 
7. Semester 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
ECTS 
MAT4003 
AXIOMATIC GEOMETRY 
Compulsory 
2 
2 
0 
7 
MAT4021 
FUNCTIONAL ANALYSIS 
Compulsory 
2 
2 
0 
8 

Click to choose optional courses.





15 
Total 

30 
1. Semester Optional Courses 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
ECTS 
YAD101 
FOREIGN LANGUAGE I 
Optional 
2 
0 
0 
2 
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 
T^{1} 
U^{2} 
L^{3} 
ECTS 
YAD102 
FOREIGN LANGUAGE (ENGLISH)  II 
Optional 
2 
0 
0 
2 
YAD102 
FOREIGN LANGUAGE 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 
T^{1} 
U^{2} 
L^{3} 
ECTS 
ARK0505 
MYTHOLOGY 
Optional 
3 
0 
0 
4 
ARK0507 
ANATOLIAN CIVILIZATIONS 
Optional 
3 
0 
0 
4 
ARK0508 
DAILY LIFE IN ANTIQUITY 
Optional 
3 
0 
0 
4 
ARK0509 
ANCIENT ARCHITECTURE 
Optional 
3 
0 
0 
4 
ARK0512 
ROMAN ARCHITECTURE 
Optional 
3 
0 
0 
4 
ARK0514 
BURSA IN ANCIENT PERIOD 
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 
FLS0501 
INTRODUCTION TO PHILOSOPHY 
Optional 
3 
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 
SAT0501 
ANATOLIAN ART I 
Optional 
2 
0 
0 
4 
SAT0504 
ANATOLIAN ART II 
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 
4. Semester Optional Courses 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
ECTS 
BMB2022 
SPACIAL TOPICS WITH MAPLE 
Optional 
3 
0 
0 
4 
MAT2018 
MATRIX THEORY 
Optional 
3 
0 
0 
4 
MAT2020 
SET THEORY 
Optional 
3 
0 
0 
4 
MAT2024 
INTRODUCTION TO GENEREL TOPOLOGY 
Optional 
3 
0 
0 
4 
MAT2026 
CRYPTOLOGY 
Optional 
3 
0 
0 
4 
5. Semester Optional Courses 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
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 
6. Semester Optional Courses 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
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 
7. Semester Optional Courses 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
ECTS 
BMB4087 
COMPUTER AIDED DESIGN 
Optional 
3 
0 
0 
5 
MAT4033 
GEOMETRIES 
Optional 
3 
0 
0 
5 
MAT4035 
ANALYTIC FUNCTIONS 
Optional 
3 
0 
0 
5 
MAT4041 
THE METHODS OF APPLIED MATHEMATICS I 
Optional 
3 
0 
0 
5 
MAT4043 
FOURIER ANALYSIS 
Optional 
3 
0 
0 
5 
MAT4047 
ALGORITHM DEVELOPMENT 
Optional 
3 
0 
0 
5 
MAT4063 
NUMERICAL SOLUTIONS OF DIF.EGUATIONS 
Optional 
3 
0 
0 
5 
MAT4077 
ALGEBRAIC TOPOLOGY I 
Optional 
3 
0 
0 
5 
MAT4081 
INTRODUCTION TO THE THEORY OF ELLIPTIC CURVES 
Optional 
3 
0 
0 
5 
MAT4083 
MATHEMATICS WITH MATLAB 
Optional 
3 
0 
0 
5 
MAT4085 
FRACTAL GEOMETRY 
Optional 
3 
0 
0 
5 
MAT4089 
APPLICATIONS OF LINEAR ALGEBRA 
Optional 
3 
0 
0 
5 
MAT4091 
TENSOR ANALYSIS ON MANIFOLDS 
Optional 
3 
0 
0 
5 
MAT4093 
SPECIAL FUNCTIONS 
Optional 
3 
0 
0 
5 
MAT4095 
INTRODUCTION TO GRAPH THEORY 
Optional 
3 
0 
0 
5 
MAT4097 
INTRODUCTION TO GEOMETRIC APPLICATIONS 
Optional 
3 
0 
0 
5 
MAT4099 
INTRODUCTION TO RING THEORY 
Optional 
3 
0 
0 
5 
MAT4107 
THEORY OF SPECIAL NUMBERS 
Optional 
3 
0 
0 
5 
8. Semester Optional Courses 
Course Code 
Course Title 
Type of Course 
T^{1} 
U^{2} 
L^{3} 
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 
MATHEMATIS FOR ECONOMY 
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 
BOUNDARYVALUE 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 