Mathematics Doctorate Degree Program

Academic Unit Presenting the ProgramMathematics
Program Director
Program TypeDoctorate Degree Program
Level of Degree EarnedGraduate (Doctoral Degree).
Degree EarnedDoctorate diploma is given to the graduates who successfully complete the doctorate study at the concerning department depending upon the graduate school of natural and applied sciences.
Education TypeTam zamanlı
Registration Acceptance Conditions(1) To be eligible for application to the doctoral programme, the candidates should hold an undergraduate (Bachelor’s) or a graduate (Master’s) degree, a ten year medicine, dentistry and veterinary faculty degree excepting the preparatory year, pharmeceutics and science faculty undergraduate or graduate degree or a laboratory field proficiency based on Ministry of Health regulations. The applicants should also hold a minimum of 55 in the Selection Examination for Academic Personnel and Graduate Studies (ALES) in the field they apply to. 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. For those who hold an undergraduate degree, a minimum of 70 in ALES in the field they apply to is required. (2) The final admission score for PhD applications is determined as the total sum of %10 of grade point average (GPA), %50 of the ALES standard grade, %40 of the grade received in the entrance examination, which is conducted by a jury determined by the Institute administration, for those with a graduate degree. For an applicant to be admitted, the grade should be a minimum of 70. The final grades are arranged from the highest to the lowest score and a number of applicants as per the announcement is admitted. However, in PhD admissions, a minimum of 55 in ÜDS or an equivalent in an examination accepted by the Inter-University Council is required; for foreign applicants, a minimum of 55 in ÜDS of one of English, French or German languages (which should be different from their mother language) or an equivalent in an examination accepted by the Inter-University Council is required. The University Senate has the right to increase these minimum requirements.
Recognition of Prior LearningA student who has successfully completed at least one semester in a comparable doctoral 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 The students studying in this Ph.D program are required:
to take a minimum of 7 courses with a minimum of 21 local credits
to pass the qualifying examination,
to prepare and defend a doctoral dissertation
to succeed in all the courses with a letter grade of at least CB/S
to have a Cumulative Grade Point Average of at least 2.50/4.00 with a minimum of 240 ECTS credits.
Program Profile
Occupational Profiles of Graduates
Access To Upper DegreeUpon graduation, the PhD holders can apply for an academic position in higher education institutions at home and abroad or specialist positions in state institution research centres.
Exams, Assessment and Grading

 

For a student to have successfully completed the master programme, the GPA should be at least 75.

 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

Fail

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


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Mathematics


Course

2023-2024 Fall Semester
Course Code Course Name Browse T A ECTS
LÜ-FBE-05 Doctoral Qualification 0 0 20
LÜ-FBE-03 Ph.D. Seminar 0 2 5
LÜ-FBE-01 Special Topics 8 0 10
LÜ-FBE-06 Thesis Proposal 0 0 20
Total ECTS: 55

2023-2024 Spring Term
Course Code Course Name Browse T A ECTS
LÜ-FBE-05 Doctoral Qualification 0 0 20
LÜ-FBE-03 Ph.D. Seminar 0 2 5
LÜ-FBE-01 Special Topics 8 0 10
LÜ-FBE-06 Thesis Proposal 0 0 20
Total ECTS: 55
Total ECTS(Year): 110
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-05 Doctoral Qualification
#
4554341444
4554341444
4554341444
4554341444
LÜ-FBE-03 Ph.D. Seminar
#
2313421323
2313420323
2313421323
LÜ-FBE-06 Thesis Proposal
#
0000000000
0000000000
0000000000
0000000000
LÜ-FBE-05 Doctoral Qualification
#
3323221322
3323221322
3323221322
3323221322
LÜ-FBE-03 Ph.D. Seminar
#
2313421323
2313420323
2313421323
LÜ-FBE-06 Thesis Proposal
#
5555555555
5555555555
5555555555
5555555555
LÜ TEZ Thesis
#
2202000200
2320000000
2300240020
2200030020
LÜ TEZ Thesis
#
3443422343
3443422343
3443422343
3443422343