Department of Mathematics, Thesis

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Thesis (454)

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Author
Abu Joukha, Jaber H H (2)
ALZabut, Jehad (2)
Alıcı, Haydar (2)
Aydın, Ayhan (2)
Betin, Cansu (2)

Subject
Mathematics. (20)
Differential equations. (17)
Numerical analysis. (12)
Algebra. (8)
Finite groups. (8)

Date Issued
1964 - 1979 (57)
1980 - 1999 (165)
2000 - 2019 (212)
2020 - 2021 (20)

Recent Submissions

Problem-solving processes of mathematically gifted and non-gifted students
Sipahi, Yasemin; Erbaş, Ayhan Kürşat; Department of Mathematics Education (2021-8-17)
This study aimed to investigate the use of problem-solving phases and strategies of seven mathematically gifted, seven successful, and six average students attending fifth-grade in different public and private schools. The...
Computation of the Primary Decomposition of Polynomial Ideals Using Gröbner Bases
Tolgay, Betül; Karayayla, Tolga; Department of Mathematics (2021-8-06)
In this thesis, we investigate algorithms for computing primary decompositions of ideals in polynomial rings. Every ideal in a polynomial ring over a Noetherian commutative ring with identity has a primary decomposition, t...
The role of dynamic geometry software on mathematical creativity of pre-service mathematics teachers in geometry tasks
Melek, Zülal; Çakıroğlu, Erdinç; Department of Mathematics Education (2021-7-14)
The purpose of the study was to investigate the role of the dynamic geometry software on mathematical creativity of pre-service mathematics teachers in geometry tasks. The sample of the present study was five pre-service...
Coefficients of folding polynomials attached to Lie algebras of rank two
Aydoğdu, Muhammed; Küçüksakallı, Ömer; Department of Mathematics (2021-7-9)
Let g be a Lie algebra over a field F, and let h be a Cartan subalgebra of g. The dual space h∗ of h forms a root system. Reflections in the hyperplanes orthogonal to the simple roots of h∗ generate the Weyl group of g. If...
Stacky formulations of Einstein gravity
Berktav, Kadri İlker; Kişisel, Ali Ulaş Özgür; Tekin, Bayram; Department of Mathematics (2021-5-28)
This is a thesis on higher structures in geometry and physics. Indeed, the current work involves an extensive and relatively self-contained investigation of higher categorical and stacky structures in (vacuum) Einstein gra...
Algebraic properties of the Richard Thompson’s groupfand its applications in cryptography
Yeter, Hakan; Benli, Mustafa Gökhan; Department of Mathematics (2021-3-05)
Thompson’s groupsF,TandV, especiallyF, are widely studied groups in grouptheory. With their unique properties, they appear and become counterexamples formany general problems in different areas of mathematics. Developm...
Limit monomial groups
Bostan, Sezen; Kuzucuoğlu, Mahmut; Department of Mathematics (2021-3-03)
In this thesis, monomial groups, which are obtained by using strictly diagonal embeddings of complete monomial groups over a group of finite degree, are studied. The direct limit of complete monomial groups of finite degre...
Learning how to create lesson plans: first year preservice mathematics teachers’ experience in university within school model
Özkan, Betül; Işıksal Bostan, Mine; Tunç Pekkan, Zelha; Department of Mathematics Education (2021-2-15)
The aim of this study was to examine how first year preservice mathematics teachers (PSMTs) in different levels integrate feedback given by a course instructor and classmates into their lesson plans. Moreover, the study in...
A phenomenological study on mathematics teachers having experience with innovative learning activities: views, enablers,and barriers
Erbasan, Elçin; Çakıroğlu, Erdinç; Department of Mathematics Education (2021-2-10)
The purpose of the study was to investigate middle school mathematics teachers’ views and experiences regarding innovative mathematics learning activities. This study also aimed to determine enablers and bar...
A study on development of prospective middle school teachers’ competence of posing mathematical literacy problems
Baran Saraç, Aniş Büşra; Işıksal Bostan, Mine; Department of Mathematics Education (2021-1-27)
The current study aims to investigatecompetence ofprospective middle school mathematics teachers to generate mathematical literacy problems throughout a designed instruction. Participants of the study, who ...
Generating the surface mapping class group by torsion elements
Yıldız, Oğuz; Korkmaz, Mustafa; Department of Mathematics (2020-12-24)
n this thesis, we study generators of the mapping class groupMod(Σg)of a closedconnected orientable surfaceΣgof genusg. The mapping class groupMod(Σg)isknown to be generated by three involutions ifg≥8and by two torsion el...
Some New Bounds on Closed Ordinal Ramsey Numbers
Sağlam, Irmak; Kaya, Burak; Department of Mathematics (2020-12-22)
Partition calculus on ordinals was introduced by Erd ̋os and Rado and is a well-studiedsubject. Later on, Baumgartner extended this investigation to topological spaces andstudied topological partition relations on ordinal ...
The effects of a functional thinking intervention on fifth grade students’ functional thinking skills
Akın, Gülnur; İşler Baykal, Işıl; Department of Mathematics Education (2020-10-22)
The purpose of the study was to investigate the effects of a functional thinking intervention on 5th-grade students’ functional thinking skills. The sample of the current study was 43 fifth grade students in two public mid...
About the decomposability of almost completely decomposable groups
Budak, Canan; Solak, Ebru; Department of Mathematics (2020-8)
Almost completely decomposable groups are extensions of completely decomposable groups of finite index. They can be written as a sum of indecomposables. Every almost completely decomposable group is the direct sum of indec...
Implementation of the peer-led team learning (PLTL) model to Turkish context: its effect on undergraduate engineering students’ academic performances and anxiety in general chemistry course
Eren Şişman, Nuran Ece; Geban, Ömer; Department of Mathematics and Science Education (2020)
This study examined the effect of peer-led team learning (PLTL) model over traditional college instruction (TCI) on undergraduate engineering students’ exam achievement, conceptual understanding, state anxiety, and social ...
Studies on non-weakly regular bent functions and related structures
Pelen, Rumi Melih; Özbudak, Ferruh; Department of Mathematics (2020)
Interest in bent functions over finite fields arises both from mathematical theory and practical applications. There has been lots of literature addressing various properties of bent functions. They have a number of applic...
BEM solution of unsteady convection-diffusion type fluid flow problems
Fendoğlu, Hande; Bozkaya, Canan; Department of Mathematics (2020)
The time-dependent convection-diffusion-reaction (CDR) type equations with constant and variable convective coefficients are solved by using two different boundary element methods (BEM), namely dual reciprocity BEM (DRBEM)...
An investigation on theses and dissertations on mathematical modeling in Turkey in the last two decades.
Koç, Dilek; Sevinç, Şerife; Department of Mathematics and Science Education (2020)
In line with the developing science and technology, mathematical modeling which links up real life and mathematics has become increasingly popular, and the number of studies conducted on mathematical modeling has increased...
Maximal page crossing number of embedded closed legendrian surfaces in closed contact 5-manifolds
Erşen, Özlem; Arıkan, M. Fırat,; Department of Mathematics (2020)
The main purpose of this thesis is to introduce a new Legendrian isotopy invariantfor any closed orientable Legendrian surfaceLembedded in a closed contact5- man-ifold(M,ξ)which admits an "admissable" open book(B,f)(suppor...
DRBEM solutions of cauchy problem for the magnetohydrodynamic duct flow
Aydın, Cemre; Tezer-Sezgin, Münevver,; Department of Mathematics (2020)
In this thesis, the direct and inverse problems of the MHD flow in rectangular ducts are solved in terms of the velocity of the fluid and the induced magnetic field by using the Dual Reciprocity Boundary Element Method (DR...
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