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.
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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 |
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 |
MAT1007 |
INTRODUCTION TO COMPUTERS |
Compulsory |
2 |
2 |
0 |
4 |
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 |
Compulsory |
2 |
0 |
0 |
2 |
Total |
|
30 |
2. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
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 |
MAT1008 |
MATHEMATICS WITH COMPUTER |
Compulsory |
2 |
2 |
0 |
4 |
ATA102 |
ATATURK'S PRINCIPLES AND THE HISTORY OF REVOLUTIONS II |
Compulsory |
2 |
0 |
0 |
2 |
TUD102 |
TURKISH LANGUAGE II |
Compulsory |
2 |
0 |
0 |
2 |
YAD102 |
FOREIGN LANGUAGE |
Compulsory |
2 |
0 |
0 |
2 |
Total |
|
30 |
3. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
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 |
Total |
|
26 |
4. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
FZK2074 |
INTRODUCTION TO PHYSICS II |
Compulsory |
3 |
0 |
0 |
4 |
MAT2002 |
ANALYSIS IV |
Compulsory |
4 |
2 |
0 |
8 |
MAT2014 |
ANALYTIC GEOMETRY II |
Compulsory |
2 |
2 |
0 |
4 |
MAT2016 |
DIFFERENTIAL GEUATIONS II |
Compulsory |
2 |
2 |
0 |
4 |
ATA202 |
ATATURK'S PRINCIPLES AND HISTORY OF TURKISH REVOLUTION III (SPEECHES OF ATATURK) |
Compulsory |
2 |
0 |
0 |
2 |
|
Click to choose optional courses.
|
|
|
|
|
8 |
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 |
ABSTRACT ALGEBRA |
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 |
ISL3008 |
ENTREPRENEURSHIP |
Compulsory |
1 |
0 |
0 |
2 |
MAT3012 |
COMPLEX FUNCTIONS THEORY II |
Compulsory |
2 |
2 |
0 |
6 |
MAT3016 |
DIFFERANTIAL GEOMETRY II |
Compulsory |
2 |
2 |
0 |
6 |
MAT3018 |
TOPOLOGY |
Compulsory |
2 |
2 |
0 |
6 |
MAT3020 |
NUMBER THEORY |
Compulsory |
2 |
2 |
0 |
5 |
|
Click to choose optional courses.
|
|
|
|
|
5 |
Total |
|
30 |
7. Semester |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
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 |
4. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
MAT2018 |
MATRIX THEORY |
Optional |
3 |
0 |
0 |
4 |
MAT2020 |
SET THEORY |
Optional |
3 |
0 |
0 |
4 |
MAT2022 |
SPACIAL TOPICS WITH MAPLE |
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 |
T1 |
U2 |
L3 |
ECTS |
MAT3037 |
VECTORAL 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 |
MAT3047 |
LINEAR ALGEBRA AND DIFFERANTIAL EQUATIONS WITH MAPLE |
Optional |
3 |
0 |
0 |
5 |
MAT3051 |
ADVANCED OBJECTIVE PROGRAMMING |
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 |
T1 |
U2 |
L3 |
ECTS |
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 |
MAT3056 |
SOFTWORE DEVELOPMENT TECHNIQUE |
Optional |
3 |
0 |
0 |
5 |
MAT3058 |
TRANSFORMATIONS AND GEOMETRIES II |
Optional |
3 |
0 |
0 |
5 |
7. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
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 |
MAT4061 |
GALOIS THEORY |
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 |
MAT4079 |
INTRODUCTION TO ALGEBRAIC NUMBER THEORY |
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 |
MAT4087 |
COMPUTER AIDED DESIGN |
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 |
8. Semester Optional Courses |
Course Code |
Course Title |
Type of Course |
T1 |
U2 |
L3 |
ECTS |
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 |
MAT4052 |
INTRODUCTION TO RING 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 |
MAT4076 |
WEB DESIGN |
Optional |
3 |
0 |
0 |
6 |
MAT4078 |
ALGEBRAIC TOPOLOGY II |
Optional |
3 |
0 |
0 |
6 |
MAT4080 |
INTRODUCTION TO ALGEBRAIC NUMBER THEORY |
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 |
MAT4092 |
THEORY OF SPECIAL NUMBERS |
Optional |
3 |
0 |
0 |
6 |
General 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 |
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 |
ARK0541 |
ANCIENT CITIES |
Optional |
3 |
0 |
0 |
4 |
BYL0502 |
ENVIRONMENTAL BIOLOGY |
Optional |
3 |
0 |
0 |
5 |
BYL0510 |
LIFE IN LAKES |
Optional |
3 |
0 |
0 |
5 |
BYL0512 |
INDUSTRIAL ENZYMOLOGY |
Optional |
3 |
0 |
0 |
5 |
BYL0514 |
GENETICS AND SOCIETY |
Optional |
3 |
0 |
0 |
5 |
BYL0515 |
BIOLOGICAL AND CULTURAL EVOLUTION |
Optional |
3 |
0 |
0 |
5 |
BYL0516 |
BIOCHEMISTRY APPLICATION |
Optional |
3 |
0 |
0 |
5 |
BYL0517 |
BEHAVIOURAL GENETICS |
Optional |
3 |
0 |
0 |
5 |
BYL0518 |
GENETICS AND THE BASIS OF DOMESTICATION |
Optional |
3 |
0 |
0 |
5 |
BYL0520 |
WATER POLLUTION AND ENVIRONMENTAL EFFECTS |
Optional |
2 |
0 |
0 |
3 |
BYL0521 |
HEALTH AND BIOCHEMISTRY |
Optional |
3 |
0 |
0 |
5 |
BYL0523 |
FIRST AID |
Optional |
1 |
2 |
0 |
3 |
BYL0525 |
PARK AND FOREST TREES |
Optional |
3 |
0 |
0 |
5 |
BYL0527 |
BIOLOGY OF HUMAN BEHAVIOR |
Optional |
3 |
0 |
0 |
5 |
BYL0529 |
PALEOBOTANICS |
Optional |
3 |
0 |
0 |
5 |
BYL0531 |
TISSUE BIOLOGY |
Optional |
3 |
0 |
0 |
5 |
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 |
GSB0501 |
CULTURAL ENVIRONMENTAL CONSCIOUSNESS AND SOCIAL RESPONSIBILITY |
Optional |
3 |
0 |
0 |
5 |
GSB0503 |
INTRODUCTION TO MUSICAL CULTURE I |
Optional |
1 |
2 |
0 |
3 |
GSB0505 |
INTRODUCTION TO TURKISH CLASSICAL MUSIC I |
Optional |
1 |
2 |
0 |
3 |
KIM0501 |
CHEMISTRY AND SOCIETY |
Optional |
3 |
0 |
0 |
4 |
KIM0502 |
INTRODUCTION TO ENVIRONMENTAL SCIENCE |
Optional |
3 |
0 |
0 |
4 |
KIM0503 |
ENERGY AND ENVIROMENT |
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 |
MBG0501 |
INDUSTRIAL BIOTECHNOLOGY |
Optional |
2 |
0 |
0 |
4 |
MBG0502 |
MICROBIAL DIVERSITY |
Optional |
2 |
0 |
0 |
4 |
MBG0503 |
APPLICATIONS IN MOLECULAR BIOLOGY |
Optional |
3 |
0 |
0 |
5 |
MBG0504 |
GENETICALLY MODIFIED ORGANISMS |
Optional |
3 |
0 |
0 |
5 |
MBG0505 |
HUMAN GENETICS |
Optional |
3 |
0 |
0 |
4 |
MBG0506 |
GENETICS OF PSYCHIATRIC DISEASES |
Optional |
2 |
0 |
0 |
3 |
MBG0506 |
GENETICS OF PSYCHIATRIC DISEASES |
Optional |
3 |
0 |
0 |
4 |
PSİ0503 |
INTRODUCTION TO DEVELOPMENTAL PSYCHOLOGY |
Optional |
3 |
0 |
0 |
6 |
PSİ0509 |
SOCIAL PSYCHOLOGY |
Optional |
3 |
0 |
0 |
6 |
TRH0504 |
HISTORY AND CULTURE OF TURKS |
Optional |
3 |
0 |
0 |
5 |
TRH0508 |
THE TURKISH DIMENSION OF THE WORLD WAR I AND II PERIOD |
Optional |
3 |
0 |
0 |
4 |
TRH0509 |
LATIN (GRAMMAR) |
Optional |
3 |
0 |
0 |
4 |
TRH0511 |
MODERN GREEK (GRAMMAR) |
Optional |
3 |
0 |
0 |
4 |