Mathematics Master Degree With a Thesis Program

Academic Unit Presenting the ProgramMathematics
Program Director
Program TypeMaster Degree With a Thesis Program
Level of Degree EarnedGraduate (Master’s Degree).
Degree EarnedPost graduate diploma is given to the graduates who successfully complete the post graduate study at the concerning department depending upon the graduate school of natural and applied sciences.
Education TypeTam zamanlı
Registration Acceptance Conditions(1) Candidates who apply for admission to a master programme should hold a valid bachelor’s degree and, except the applicants to the Department of Music, a minimum score of 55 from the Selection Examination for Academic Personnel and Graduate Studies (ALES) administered by the Student Selection and Placement Centre (ÖSYM). Instead of ALES score, candidates may choose to submit the scores of other internationally accepted examinations whose validity and equivalency are determined by the University Senate. (2) The final admission score is determined as the total sum of %10 of the undergraduate GPA, %50 of ALES score and %40 of the grade received in the entrance examination which is conducted by a jury determined by and representing the Department. The final admission score should be at least 65. The number of accepted students is decided prior to the admission and the successful applicants are shortlisted according to the scores starting with the highest ones.   
Recognition of Prior LearningA student who has successfully completed at least one semester in a comparable master programme at another accredited institution is eligible as a lateral transfer. Lateral transfers are generally admitted after being evaluated on a case by case basis and upon the decision of the administration of the Department and the Graduate School. 
Degree Requirements and Rules to take a minimum of 7 courses with a minimum of 21 local credits.
to succeed in all the courses with a letter grade of at least CC/S
to prepare and defend a master's dissertation
to have a Cumulative Grade Point Average of at least 2.00/4.00 with a minimum of 120 ECTS credits.
Program Profile
Occupational Profiles of Graduates
Access To Upper DegreeUpon successful completion of their master programme, the students are encouraged to embark on further academic studies on the graduate level (doctoral programme) on condition of having received the required score in ALES exam, possessing sufficient knowledge of English or another foreign language, and being successful in the entrance examination.
Exams, Assessment and Grading

For a student to have successfully completed the master programme, the GPA should be at least 65.

Grades

The grading system to evaluate the student performance is signified by the values in the chart below. For each course students are graded by letters. Letter grades, coefficients and ratios are as follows:

 

 

 

Grade

Letter Grade

Local Grade

Status

90-100

AA

4.00

Pass

85-89

BA

3.50

Pass

80-84

BB

3.00

Pass

75-79

CB

2.50

Pass

65-74

CC

2.00

Pass

0-64

FF

0

Fail

Graduation RequirementsRequirements for graduation are as stated in “Principles Regarding the Post graduate Degree” part.
Teaching Methods

Teaching Methods

Teaching methods are determined so as to improve skills, such as teaching-learning strategies, self-discipline, life-long learning, observation, sharing knowledge, presentation, critical thinking, teamwork, effective use of informatics.

Moreover, the choice of teaching methods pays heed to supporting students with different skills. The teaching methods used in the program are listed below*:

 

TEACHING METHODS*

LEARNING ACTIVITIES

MEANS

Course

Listening and interpretation

Standard classroom technologies, multimedia devices, projector, computer, overhead projector

Discussion Course

Listening and interpretation, observation/situation handling, critical thinking, question development

Standard classroom technologies, multimedia devices, projector, computer, overhead projector

Special Support / Structural Examples

Special skills planned beforehand

 

Playing a Role / Drama

Special skills planned beforehand

Standard classroom technologies, special equipment

Problem Solving

Special skills planned beforehand

 

Case Study

Special skills planned beforehand

 

Brainstorming

Listening and interpretation, observation/situation handling, critical thinking, question development, team work

Standard classroom technologies, multimedia devices, projector, computer, overhead projector

Small Group Discussion

Listening and interpretation, observation/situation handling, critical thinking, question development

Standard classroom technologies, multimedia devices, projector, computer, overhead projector

Presentation

Listening and interpretation, observation/situation handling

Real or virtual environment suitable for observation

Simulation

Listening and interpretation, observation/situation handling, informatics skills

Real or virtual environment suitable for observation

Seminar

Research – lifelong learning, writing, reading, informatics, listening and interpretation, management skills

Standard classroom technologies, multimedia devices, projector, computer, overhead projector, special equipment

Group Study

Research – lifelong learning, writing, reading, informatics, critical thinking, question development, management skills, team work

 

Field / Land Study

Observation / situation handling, research – lifelong learning, writing, reading

 

Laboratory

Observation/situation handling, informatics, management skills, team work

Special equipment

Homework

Research – lifelong learning, writing, reading, Informatics

Internet database, library database, e-mail

Oral Exam

 

 

Survey and Questionnaire Study

Research – lifelong learning, writing, reading

 

Panel

Listening and interpretation, observation/situation handling

Standard classroom technologies, multimedia devices, projector, computer, overhead projector, special equipment

Guest Speaker

Listening and interpretation, observation/situation handling

Standard classroom technologies, multimedia devices, projector, computer, overhead projector, special equipment

Student Club Activity / Projects

Observation/situation handling, critical thinking, question development, team work, research – lifelong learning, writing, reading, management skills, special skills planned beforehand

 

 

*One or more of the listed methods can be used depending on the specificity of the course. 

 

Program Outcomes

1-Gather evidences for finding open problems, formulating conjectures and testing these conjectures
2-Demonstrate an advanced critical thinking ability.
3-Display an ability of reading and learning mathematics independently.
4-Display skills in making research and studying in some special areas of mathematics.
5-Experiencing in applied mathematics and modeling
6-Demonstrate skills of effective writing and speaking in mathematics language.
7-Build basic computer algorithms for mathematical computing.
8-Display an understanding of the nature of proof in mathematics, and make clear and complete proofs
9-Solve basic problems by the use of standard mathematical techniques
10-Read, understand and use basic definitions, and obtain conclusions by these definitions.

Curriculum

Mathematics


Course

2023-2024 Fall Semester
Course Code Course Name Browse T A ECTS
LÜ-FBE-04 Scientific Research Techniques and Scientific Ethics 3 0 5
LÜ-FBE-01 Special Topics 8 0 10
Elective 2023-2024 Güz Dönemi Matematik Seçmeli Dersler() 45
LÜ-MAT-43 Advanced Partial Differential Equations 3 0 5
LÜ-MAT-54 Advanced Topics in Conbinatorial Design Theory 3 0 5
LÜ-MAT-34 Integration and Differential Geometry II 3 0 5
LÜ-MAT-25 Mathematical Methods for Physical and Engineering Problems 3 0 5
LÜ-MAT-11 Mathematical Statistics 3 0 5
LÜ-MAT-26 Nonlinear Differential Equations 3 0 5
LÜ-MAT-14 Positive Operators and Banach Lattices 3 0 5
LÜ-MAT-09 Regression Analysis I 3 0 5
LÜ-MAT-49 Soliton Theory 3 0 5
LÜ-MAT-06 Spectral Theory of Linear Operators 3 0 5
LÜ-MAT-48 Statistical Learning 3 0 5
LÜ-MAT-29 The Lebesque İntegral and Measure Theory 3 0 5
LÜ-MAT-41 Theory of Error - Correcting Codes 3 0 5
LÜ-MAT-19 Theory Ordinary Differential Equations 3 0 5
9101076872017 Transformations Between Manifolds-1 3 0 8
Total ECTS: 60

2023-2024 Spring Term
Course Code Course Name Browse T A ECTS
LÜ-FBE-02 MSc. Seminar 0 2 5
LÜ-FBE-04 Scientific Research Techniques and Scientific Ethics 3 0 5
LÜ-FBE-01 Special Topics 8 0 10
Elective 2023-2024 Bahar Dönemi Matematik Seçmeli Dersler() 45
LÜ-MAT-55 Advanced Finite Element Analysis 3 0 5
LÜ-MAT-55 Advanced Finite Element Analysis 3 0 5
LÜ-MAT-42 Design Theory 3 0 5
LÜ-MAT-30 GLOBAL lorentzian Geometry I 3 0 5
LÜ-MAT-46 Harmonic Function Theory 3 0 5
LÜ-MAT-46 Harmonic Function Theory 3 0 5
LÜ-MAT-13 Introduction to Riesz Spaces 3 0 5
LÜ-MAT-52 Mathematical Foundations of Artificial Neural Networks 3 0 5
LÜ-MAT-25 Mathematical Methods for Physical and Engineering Problems 3 0 5
LÜ-MAT-11 Mathematical Statistics 3 0 5
LÜ-MAT-26 Nonlinear Differential Equations 3 0 5
LÜ-MAT-10 Regression Analysis II 3 0 5
LÜ-MAT-49 Soliton Theory 3 0 5
LÜ-MAT-06 Spectral Theory of Linear Operators 3 0 5
LÜ-MAT-28 The Basic Topological Concepts and Normed Linear Spaces Theory of Operators 3 0 5
LÜ-MAT-19 Theory Ordinary Differential Equations 3 0 5
Total ECTS: 65
Total ECTS(Year): 125
Thesis

2023-2024 Fall Semester
Course Code Course Name Browse T A ECTS
LÜ-FBE-01 Special Topics 8 0 10
LÜ TEZ Thesis 0 0 20
Total ECTS: 30

2023-2024 Spring Term
Course Code Course Name Browse T A ECTS
LÜ-FBE-01 Special Topics 8 0 10
LÜ TEZ Thesis 0 0 20
Total ECTS: 30
Total ECTS(Year): 60

Matrix of Course - Program Outcomes

LÜ-FBE-04 Scientific Research Techniques and Scientific Ethics
#
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
LÜ-MAT-43 Advanced Partial Differential Equations
#
5555554455
5555554455
5555554455
5555554455
5555554455
5555554455
5555554455
LÜ-MAT-54 Advanced Topics in Conbinatorial Design Theory
#
4235523344
3235533245
3334533333
4245535322
LÜ-MAT-34 Integration and Differential Geometry II
#
3434432455
LÜ-MAT-25 Mathematical Methods for Physical and Engineering Problems
#
1223343252
2233322232
LÜ-MAT-11 Mathematical Statistics
#
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
LÜ-MAT-26 Nonlinear Differential Equations
#
5304404032
5304404032
LÜ-MAT-14 Positive Operators and Banach Lattices
#
2334231443
2334231443
2334231443
2334231343
2334231443
2334231443
LÜ-MAT-09 Regression Analysis I
#
0000000000
0000000000
0000000000
LÜ-MAT-49 Soliton Theory
#
0430030330
0430030330
0430030330
LÜ-MAT-06 Spectral Theory of Linear Operators
#
4255322455
LÜ-MAT-48 Statistical Learning
#
1222324324
LÜ-MAT-29 The Lebesque İntegral and Measure Theory
#
3434252534
3434252534
3434252534
LÜ-MAT-41 Theory of Error - Correcting Codes
#
4534045234
4534545234
4534545234
4534540234
LÜ-MAT-19 Theory Ordinary Differential Equations
#
3344432354
3344432354
3344432354
LÜ-FBE-02 MSc. Seminar
#
3333222244443333222255554444111133334444
3334222244443333222255554444111133334444
3333222244443333222255554444111133334444
3333222244443333222255554444111133334444
LÜ-FBE-04 Scientific Research Techniques and Scientific Ethics
#
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
LÜ-MAT-55 Advanced Finite Element Analysis
#
3444444334
4343433344
4333444444
4044444344
LÜ-MAT-42 Design Theory
#
2345434123
2345434123
2345434123
2345434123
LÜ-MAT-46 Harmonic Function Theory
#
4144131444
4144131444
4144131444
4144131444
LÜ-MAT-46 Harmonic Function Theory
#
4144131444
4144131444
4144131444
4144131444
LÜ-MAT-13 Introduction to Riesz Spaces
#
2112211111
2112211111
2112211111
2112211111
LÜ-MAT-52 Mathematical Foundations of Artificial Neural Networks
#
2322104222
4342333132
2324343233
LÜ-MAT-25 Mathematical Methods for Physical and Engineering Problems
#
1223343252
2233322232
LÜ-MAT-11 Mathematical Statistics
#
5555555455
5555555455
5555555455
5555555455
5555555455
5555555455
5555555455
5555555455
LÜ-MAT-26 Nonlinear Differential Equations
#
5304404032
0320450302
LÜ-MAT-10 Regression Analysis II
#
5555555555
5555555555
5555555555
5555555555
5555555555
5555555555
5555555555
LÜ-MAT-49 Soliton Theory
#
0430030330
4004000004
0000545000
LÜ-MAT-06 Spectral Theory of Linear Operators
#
4255322455
LÜ-MAT-28 The Basic Topological Concepts and Normed Linear Spaces Theory of Operators
#
3000000000
3000000000
3000000000
3000000000
3000000000
LÜ-MAT-19 Theory Ordinary Differential Equations
#
3344432354
3344432354
3344432354
LÜ TEZ Thesis
#
4324332433
4324332433
4324332433
4324332433
LÜ TEZ Thesis
#
3233231322
3233231322
3233231322
3233231322