Program Objectives

Our program objective is to provide necessary academic knowledge and skills to them so they can become researchers that are specialized in their fields, who has skills to develop new mathematical ideas and methods, who follows national and international scientific publishing and current developments, who assimilated ethical values and uses a common language with their stakeholders, who increases our country’s researcher potential that has universal competition power, who conducts high leveled studies by taking positions in researches about mathematics and disciplines related with mathematics and who contributes to literature by publishing these unique studies in respectable scientific magazines.

Establishment

Istanbul Kultur University Institute of Sciences takes place in the establishment schema of Istanbul Kultur University that was established in 15 July 1997 by 4281 numbered law. Our University’s Graduate Programs Regulation was came into force on 5 February 1998 by publishing on Official Newspaper and afterwards the renewed regulation was put into force by being published in 25841 numbered Official Newspaper on 10 June 2005. Institute of Sciences that continued to show an increased acceleration from the day it was established has 13 Graduate and 5 PhD programs. Institute of Sciences continued its Mathematics – Computer Graduate Program education that started at 2000, with Mathematics PhD Program on 2003. Istanbul Kultur University is one of the first foundation universities that have an authorization to give PhD degree in Mathematics field.

Analysis, algebra, mathematical logic and applied mathematics are offered in Mathematics PhD Program.

 *In accordance with the decisions of the Chairmanship of the Higher Education Institute the Department of Education for the present department/program names, taken in the Meeting of Higher Education Institute dated 11.03.2020, our present program named the Department of Mathematics and Computer Science has changed into the Department of Mathematics and Computer Sciences.

Qualification Awarded

Students who completed all classes that take place in a 4-year education plan successfully and who gained at least 210 AKTS are given Mathematics PhD degree.

Language of Instruction

Turkish

Mode of Education

Full Time

Admission and Registration Requirements

Applicants who completed their Undergraduate or Graduate degrees with success and who will apply to Mathematics – Computer Major PhD Program need to have at least 55 score from ALES exam if they are applying after having their Graduate degree (Masters) to continue on PhD education, at least 70 score if they are applying with only having an Undergraduate degree. Also according to 02.06.2007-dated Regulation About Conducting Change in Graduate Degree Education Legislation’s “b) embankment that published in 26540 numbered official newspaper, in the admission process to the PhD programs, at least 55 score from UDS or a similar score from another exam that was accepted by Intercollegiate Committee, for foreign students, again at least 55 score from UDS or a similar score from another exam that was accepted by Intercollegiate Committee in one of English, French or German languages that is not their native language is mandatory.

According to the 6th item of Istanbul Kultur University Graduate Degree Education and Exam Regulation, method that will be used in success ranking of the PhD applicants whose pre-applications were accepted will be as follows:

1. ALES Score 50%

2. Interview 20%

3. Foreign Language Exam 15%

4. Undergraduate Graduating Degree (GPA) 15%

Applicants must get at least 65 score out of 100 in total to receive chance of official admission and registration.

Fellowships and Discount in Tuition Fee

for detail..

Tuition Fee

for detail.

Double Major–Minor Programs

 Not available.

Internship

 There is no mandatory internship.

Grading Scheme

You can find the relevant legislation including the measurement and evaluation requirements of the program here.

Graduation Requirements

To take courses that are present in the department of 60 AKTS and to reach at least 3.00 GPA over 4.00, to be successful at the proficiency exam and to prepare a doctorate thesis, present it in front of judges and be successful.

International Cooperations

Erasmus Program is a European Union program to encourage European Colleges and Universities to cooperate with each other. Unlimited financial support is provided for Colleges and Universities to generate and implement common projects with each other and to make students and staff exchanges with each other for short time periods. Department students have the chance to become an exchange student at an European country’s College or University that has an agreement with our university inside 1 academic year for 1 or 2 (3-12 months) semesters and to get financial support for the time they stay at overseas within the program. Students can get their education from one of the listed universities below:

Stuttgart University, Germany,

·         Sofia University St. Sliment Ohridski, Bulgaria,

·         University of Amsterdam, Netherlands.

Occupational Profiles Of Graduates

Students who graduated from Mathematics PhD Program have a wide selection of occupational choices in front of them although most graduates prefer to become researchers and work in organizations or serve as an academician in universities.

Access to Further Studies

 They can continue their education in related areas.

Departmental Facilities

Three professors, three associate professors and nine assistant associate professors are serving as academic personnel.

Program Activities

 Every year, Mathematics related national and international symposiums, congresses, summer schools and studies are arranged by Mathematics – Computer Department. Some of these scientific activities are as follows:

Turkish Japanese Joint Symposium on Function Theory and Its Applications (3 – 6 September 2012)
 
4th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (27 – 31 August 2012)
 
IX. Mathematics Logic Philosophy National Symposium  (06–09 September 2011)
VIII. Mathematics Logic Philosophy National Symposium (14 – 17 September 2010)

International Summer School on Geometric Function Theory (16 – 25 August 2010)

Graduate Summer School “Modal Logic and Its Applications” (9 – 14 August 2010)

VII. Basic Sciences Summer School (24 – 29 August 2009)

VII. Mathematics Logic Philosophy National Symposium (08 – 11 September 2009)

VII. Basic Sciences Summer School (24 – 29 August 2009)

International Symposium on Analysis and Theory of Functions (24 – 26 August 2009)

II. International Modal Logic Study (10 – 11 October 2008)

VI. Logic, Mathematics and Philosophy National Symposium (16 – 19 September 2008)

VI. Basic Sciences Graduate Summer School (11 – 17 August 2008)

V. International Modal Logic Study (11 – 13 January 2008)

Workshop on Logic of Knowledge (Epistemic Logic) (10 January 2008)

IV. International Modal Logic Seminar (24 – 28 December 2007)

V. Logic, Mathematics and Philosophy National Symposium (11 – 14 September 2007)

International Symposium on Geometric Function Theory and Applications (20–24 August 2007)

V. Basic Sciences Graduate Summer School (12 – 19 August 2007)

IV. Logic, Mathematics and Philosophy National Symposium (05 – 08 September 2006)

IV. Basic Sciences Graduate Summer School (21 – 25 August 2006)

III. Logic, Mathematics and Philosophy National Symposium (20 – 24 September 2005)

III. Basic Sciences Graduate Summer School (29 August – 03 September 2005)

Seminar Series on Univalent and Geometric Function Theory (25 February – 6 March 2005)

Turkish Mathematics Association, XVIII. National Mathematics Symposium (05 – 08 September 2005)

II. Logic, Mathematics and Philosophy National Symposium (21 – 24 September 2004)

II. Basic Sciences Graduate Summer School (23 – 27 August 2004)

Logic, Mathematics and Philosophy National Symposium (26 – 28 September 2003)

I.st Basic Sciences Graduate Summer School (25 – 29 August 2003)


Some of the scientific publications done in SCI scope in journal by program teaching staff are listed below:


Model order reduction for nonlinear Schrodinger equation
Karasozen, Bolent; Akkoyunlu, Canan; Uzunca, Murat
Source: APPLIED MATHEMATICS AND COMPUTATION  Volume: 258   Pages: 509-519   Published: MAY 1 2015
 
Harmonic mappings for which co-analytic part is a close-to-convex function of order b
Polatoglu, Yasar; Kahramaner, Yasemin; Aydogan, Melike
JOURNAL OF INEQUALITIES AND APPLICATIONS    Article Number: 18   Published: JAN 16 2015
 
A certain class of starlike log-harmonic mappings
Aydogan, Melike; Polatoglu, Yasar
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 270   Pages: 506-509   Published: NOV 2014
 
Harmonic mappings related to Janowski starlike functions
 -Kahramaner, Yasemin; Polatoglu, Yasar; Aydogan, Melike
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  Volume: 270   Pages: 564-570   Published: NOV 2014
 
Order-unit-metric spaces
Caglar, Mert; Ercan, Zafer
POSITIVITY  Volume: 18   Issue: 3   Pages: 557-565   Published: SEP 2014
QUASICONFORMAL HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTIONS
Polatoglu, Yasar; Duman, Emel Yavuz; Kahramaner, Yasemin; et al.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 16   Issue: 5   Pages: 955-963  Published: JUL 2014
 
A Certain Class of Harmonic Mappings Related to Functions of Bounded Boundary Rotation
Polatoglu, Yasar; Duman, Emel Yavuz; Aydogan, Melike
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 16   Issue: 4   Pages: 678-686  Published: MAY 2014
 
SOME INEQUALITIES WHICH HOLD FOR STARLIKE LOG-HARMONIC MAPPINGS OF ORDER alpha
Ozkan, H. Esra; Aydogan, Melike
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 16   Issue: 3   Pages: 478-485  Published: APR 2014
 
A combinatorial discussion on finite dimensional Leavitt path algebras
Koc, A.; Esin, S.; Guloglu, I.; et al.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS  Volume: 43   Issue: 6   Pages: 943-951   Published:2014
 
An investigation on a new class of harmonic mappings
Duman, Emel Yavuz; Polatoglu, Yasar; Kahramaner, Yasemin
JOURNAL OF INEQUALITIES AND APPLICATIONS    Article Number: 478   Published: NOV 7 2013
 
Bounded log-harmonic functions with positive real part
Ozkan, H. E.; Polatoglu, Y.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  Volume: 399   Issue: 1   Pages: 418-421  Published: MAR 1 2013
 
Growth and distortion theorems for multivalent Janowski close-to-convex harmonic functions with shear construction method
Polatoglu, Yasar; Ozkan, Hatice Esra; Yavuz Duman, Emel
TURKISH JOURNAL OF MATHEMATICS  Volume: 37   Issue: 3   Pages: 437-444   Published: 2013
 
On quasiconformal harmonic mappings lifting to minimal surfaces
Tastan, Hakan Mete; Polatoglu, Yasar
TURKISH JOURNAL OF MATHEMATICS  Volume: 37   Issue: 2   Pages: 267-277   Published: 2013
 
Non-Polynomial Spline Method for Fractional Diffusion Equation
Caglar, Hikmet; Caglar, Nazan; Ucar, Mehmet Fatih; et al.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS  Volume: 14   Issue: 7   Pages: 1354-1361  Published: NOV 2012
 
Harmonic function for which the second dilatation is alpha-spiral
Aydogan, Melike; Duman, Emel Yavuz; Polatoglu, Yasar; et al.
JOURNAL OF INEQUALITIES AND APPLICATIONS    Article Number: 62   Published: 2012
 
Some properties of starlike harmonic mappings
Aydogan, Melike; Yemisci, Arzu; Polatoglu, Yasar
JOURNAL OF INEQUALITIES AND APPLICATIONS    Article Number: 163   Published: 2012
 
Mathematical Models of Brain Dynamics: Progress and Perspectives
Borisenok, Sergey
Edited  Baskoro, ET; Suprijanto, D
Conference: 5th International Conference on Research and Education in Mathematics (ICREM) Location: Inst Teknologi Bandung (ITB), Bandung, INDONESIA Date: OCT 22-24, 2011
Sponsor(s): Minist Educ & Culture, Directorate Gen Higher Educ; Inst Teknologi Bandung (ITB), Fac Math & Nat Sci; Abdus Salam Int Ctr Theoret Phys (ICTP); United Nat Educ, Sci & Cultural Org (UNESCO); France Embassy; Univ Putra Malaysia, Inst Math Res (INSPEM); Vietnam Acad Sci & Technol, Inst Math (IMVAST); Indonesian Combinatorial Soc (InaCombS); Indonesian Math Soc (IndoMS)
5TH INTERNATIONAL CONFERENCE ON RESEARCH AND EDUCATION IN MATHEMATICS (ICREM5)  Book Series: AIP Conference Proceedings   Volume: 1450   Pages: 18-22   Published: 2012
 
Invariant subspaces of weakly compact-friendly operators
Caglar, Mert; Misirlioglu, Tunc
TURKISH JOURNAL OF MATHEMATICS  Volume: 36   Issue: 2   Pages: 291-295   Published: 2012
 
Solution to n-dimensional Sturm-Liouville-like equations using multi-dimensional Schwarzian
Erkut, M. H.; Borisenok, S. V.; Caglar, M.; et al.
JOURNAL OF DIFFERENTIAL EQUATIONS  Volume: 251   Issue: 12   Pages: 3403-3420   Published: DEC 15 2011
 
A note on a problem of Abramovich, Aliprantis and Burkinshaw
Caglar, Mert; Misirlioglu, Tunc
POSITIVITY  Volume: 15   Issue: 3   Pages: 473-480   Published: SEP 2011
Reciprocal classes of p-valently spirallike and p-valently Robertson functions
Uyanik, Neslihan; Shiraishi, Hitoshi; Owa, Shigeyoshi; et al.
JOURNAL OF INEQUALITIES AND APPLICATIONS    Article Number: 61   Published: 2011
 
Multi-dimensional Weiss operators
Borisenok, Sergey; Erkut, M. Hakan; Polatoglu, Yasar; et al.
TURKISH JOURNAL OF MATHEMATICS  Volume: 35   Issue: 4   Pages: 687-694   Published: 2011
 
Application of the subordination principle to the multivalent harmonic mappings with shear construction method
Polatoglu Y, Duman EY, Ozkan HE
Source: APPLIED MATHEMATICS LETTERS   Volume: 24   Issue: 6   Pages: 838-842   Published: JUN 2011
  
Some properties of analytic functions relating to the Miller and Mocanu result
Nunokawa M, Owa S, Duman EY, et al.
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS   Volume: 61   Issue: 5   Pages: 1291-1295   Published: MAR 2011
  
Application of the Subordination Principle to the Harmonic Mappings Convex in One Direction with Shear Construction Method
Polatoglu Y, Ozkan HE, Duman EY
Source: JOURNAL OF INEQUALITIES AND APPLICATIONS Article Number: 896087   Published: 2010
  
Some sufficient conditions for starlikeness and convexity
Nunokawa M, Owa S, Polatoglu Y, et al.
Source: TURKISH JOURNAL OF MATHEMATICS   Volume: 34   Issue: 3   Pages: 333-337   Published: 2010
 
B-spline method for solving Bratu's problem
Caglar H, Caglar N, Ozer M, et al.
Source: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS   Volume: 87   Issue: 8   Pages: 1885-1891   Published: 2010
  
Coefficient inequality for perturbed harmonic mappings
Polatoglu Y, Caglar M, Duman EY
Source: APPLIED MATHEMATICS LETTERS   Volume: 23   Issue: 8   Pages: 839-841   Published: AUG 2010
  
 Dynamics of the solution of Bratu's equation
Caglar H, Caglar N, Ozer M, et al.
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS   Volume: 71   Issue: 12   Pages: E672-E678   Published: DEC 15 2009
  
 Non-polynomial spline method of a non-linear system of second-order boundary value problems
Caglar H, Caglar N, Akkoyunlu C
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS   Volume: 12   Issue: 2   Pages: 544-559   Published: APR 2010
 
 B-spline solution of the Black-Scholes partial differential equation
Caglar N, Iseri M, Caglar H, et al.
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS   Volume: 12   Issue: 3   Pages: 657-666   Published: JUL 2010
    
JANOWSKI STARLIKE LOG-HARMONIC UNIVALENT FUNCTIONS
Polatoglu Y, Deniz E
Source: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS   Volume: 38   Issue: 1   Pages: 45-49   Published: APR 2009
 
Unifiability in extensions of K4
Gencer C, De Jongh D
Source: LOGIC JOURNAL OF THE IGPL   Volume: 17   Issue: 2   Pages: 159-172   Published: APR 2009
  
B-spline solution of non-linear singular boundary value problems arising in physiology
Caglar H, Caglar N, Ozer M
Source: CHAOS SOLITONS & FRACTALS   Volume: 39   Issue: 3   Pages: 1232-1237   Published: FEB 15 2009
  
 B-spline solution for a singularly perturbed convection-dominated diffusion equation
Caglar H, Caglar N, Ozer M
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS   Volume: 11   Issue: 2   Pages: 274-285   Published: APR 2009
 
The higher order Schwarzian derivative: Its applications for chaotic behavior and new invariant sufficient condition of chaos
Hacibekiroglu G, Caglar M, Polatoglu Y
Source: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS   Volume: 10   Issue: 3   Pages: 1270-1275   Published: JUN 2009
  
The numerical solution of partial differential equations with local polynomial regression(LPR)
Caglar N, Caglar H, Cagal B
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS   Volume: 11   Issue: 4   Pages: 669-677   Published: OCT 2009
 
B-spline method for solving linear system of second-order boundary value problems
Caglar N, Caglar H
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS   Volume: 57   Issue: 5   Pages: 757-762   Published: MAR 2009
  
Fifth-degree B-spline solution for nonlinear fourth-order problems with separated boundary conditions - art. no. 012031
Caglar H, Caglar N, Ozer M
Conference Information: International Symposium on Nonlinear Dynamics, OCT, 2007 DongHua Univ, Shanghai, PEOPLES R CHINA
Source: ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4  Book Series: JOURNAL OF PHYSICS CONFERENCE SERIES   Volume: 96   Pages: 12031-12031   Published: 2008
 
NEW CHARACTERIZATION OF THE CLASS OF STARLIKE FUNCTIONS
Yavuz E, Polatoglu Y, Owa S
Source: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY   Volume: 45   Issue: 4   Pages: 615-620   Published: NOV 2008
 
The radius of starlikeness of the certain classes of p-valent functions defined by multiplier transformations
Acu M, Polatoglu Y, Yavuz E
Source: JOURNAL OF INEQUALITIES AND APPLICATIONS Article Number: 280183   Published: 2008
  
The numerical solution of the one-dimensional heat equation by using third degree B-spline functions
Caglar H, Ozer M, Caglar N
Source: CHAOS SOLITONS & FRACTALS   Volume: 38   Issue: 4   Pages: 1197-1201   Published: NOV 2008
  
Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations
Caglar H, Caglar N
Source: APPLIED MATHEMATICS AND COMPUTATION   Volume: 201   Issue: 1-2   Pages: 597-603   Published: JUL 15 2008
 
 A model proposal for the chaotic structure of Istanbul stock exchange
Iseri M, Caglar H, Caglar N
Source: CHAOS SOLITONS & FRACTALS   Volume: 36   Issue: 5   Pages: 1392-1398   Published: JUN 2008
  
 An investigation on a subclass of p-valently starlike functions in the unit disc
Polatoglu Y, Bolcal A, En A, et al.
Source: TURKISH JOURNAL OF MATHEMATICS   Volume: 31   Issue: 2   Pages: 221-228   Published: 2007
 
 The relaxed Newton method derivative: Its dynamics and non-linear properties
Ozer M, Polatoglu Y, Hacibekiroglou G, et al.
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS   Volume: 68   Issue: 7   Pages: 1868-1873   Published: APR 1 2008
  
 Numerical solution of integral equations by using local polynomial regression
Caglar H, Caglar N
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS   Volume: 10   Issue: 2   Pages: 187-195   Published: APR 2008
 
 On Janowski starlike functions
Caglar M, Polatoglu Y, Sen A, et al.
Source: JOURNAL OF INEQUALITIES AND APPLICATIONS Article Number: 14630   Published: 2007
 
 Invariant subspaces for positive operators on locally convex solid Riesz spaces
Caglar M, Ercan Z
Source: INDAGATIONES MATHEMATICAE-NEW SERIES   Volume: 18   Issue: 3   Pages: 417-420   Published: SEP 24 2007
 
 New distortion theorems for Sakaguchi functions
Caglar M, Polatoglu Y
Source: MATHEMATICAL INEQUALITIES & APPLICATIONS   Volume: 10   Issue: 4   Pages: 869-874   Published: OCT 2007
 
 Bifurcations of Fibonacci generating functions
Ozer M, Cenys A, Polatoglu Y, et al.
Source: CHAOS SOLITONS & FRACTALS   Volume: 33   Issue: 4   Pages: 1240-1247   Published: AUG 2007
 
 Solution of fifth order boundary value problems by using local polynomial regression
Caglar H, Caglar N
Source: APPLIED MATHEMATICS AND COMPUTATION   Volume: 186   Issue: 2   Pages: 952-956   Published: MAR 15 2007
 
 B-spline solution of singular boundary value problems
Caglar N, Caglar H
Source: APPLIED MATHEMATICS AND COMPUTATION   Volume: 182   Issue: 2   Pages: 1509-1513   Published: NOV 15 2006
  
 B-spline interpolation compared with finite difference, finite element and finite volume methods which applied to two-point boundary value problems
Caglar H, Caglar N, Elfaituri K
Source: APPLIED MATHEMATICS AND COMPUTATION   Volume: 175   Issue: 1   Pages: 72-79   Published: APR 1 2006
  
 The principal component analysis of continuous sample curves with higher-order B-spline functions
Caglar H, Caglar N
Source: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS   Volume: 8   Issue: 3   Pages: 263-273   Published: JUL 2006
 
 Self-organized maps based neural networks for detection of possible earthquake precursory electric field patterns
Ozerdem MS, Ustundag B, Demirer RM
Source: ADVANCES IN ENGINEERING SOFTWARE   Volume: 37   Issue: 4   Pages: 207-217   Published: APR 2006