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I base my teaching on the way to learn mathematics and to do mathematics. While the process of reading examples, definitions, theorems and proofs in textbooks and from lecture notes is valuable, the real learning comes through one's own efforts at solving mathematical problems, either computational, theoretical, or both. This is achieved mostly through class assignments, but also through in class discussions and exercises.
I view my role as a facilitator for this process. I must design the framework in which learning can take place, and then encourage and increase the students' development, giving help in terms of knowledge, techniques, and encouragement. My goals in teaching are not just to promote learning of the subject matter. I also aim to provide suitable projects to produce effective class.
I also try to help the students learn to think logically, learn problem-solving methods and techniques, and improve writing skills (writing clearly and concisely, explaining step-by-step processes, providing valid reasons for logical arguments).
In addition, I try to help students see the course material in an overall context by requiring them to synthesize the various concepts of the course by applying them together.
- 2009-2011 Mathematics Teacher, Technical High School, Istanbul Turkey.
- 2011-2013 Assistant lecturer, Faculty of Science, Tishk International University, Erbil-IRAQ.
- 2013-2015 Head of Career Planning Unit, Dean of Student, Tishk International University, Erbil-IRAQ.
- 2013-....... Head of Mathematics Education Department, Faculty of Education, Tishk International University, Erbil-IRAQ
Summability, Sequence Spaces, Matrix Domains on Sequence Spaces, Operator Theory, Spectral Theory
MATH 317-Mathematical Analysis I
MATH 417 Introduction to Topology
MATH 415 Research Methods in Mathematics
MATH 122 Pre-Calculus II
MATH 214 Technical English
MATH 318-Mathematical Analysis II
MATH 304 Complex Analysis II
MATH 434 Fundamentals of Functional Analysis
MATH 317-Mathematical Analysis I
MATH 318-Mathematical Analysis II
MATH 434- Fundamentals of Functional Analysis
MATH 416 Research Project
MATH 317-Mathematical Analysis I
MATH 318-Mathematical Analysis II
MATH 434- Fundamentals of Functional Analysis
MATH 214 Technical English
MATH 416 Research Project
MATH 317-Mathematical Analysis I
MATH 318-Mathematical Analysis II
MATH 434- Fundamentals of Functional Analysis
MATH 214 Technical English
MATH 416 Research Project
Tug O. On The Spectrum of Norlund Type Matrix Operator 𝐴 = (𝑎𝑛𝑘) on The Sequence Spaces ℓ1 and 𝑏𝑣. Eurasian J. Sci. Eng. 2023; 9(2):195-207. https://doi.org/10.23918/eajse.v9i2p15
Tuǧ, O. (2023, January). Domain of generalized difference operator Δ i 3 of order three in the sequence spaces ℓ1 and bv. In AIP Conference Proceedings (Vol. 2554, No. 1, p. 020003). AIP Publishing LLC.https://doi.org/10.1063/5.0103773
Yaying, T., Kirisçi, M., Hazarika, B., & Tuğ, O. (2022). Domain of q-Cesàro matrix in Hahn sequence space hd and the space bv of the sequences of bounded variation. Filomat, 36(19), 6427-6441.https://doi.org/10.2298/FIL2219427Y
Kawa, M., Tug, O. (2022). On The Spectrum of the Matrix Operator $A = (a_{nk})$ on Hahn Sequence Space h. Eurasian Journal
of Science & Engineering, 8(3), 94-104. https://doi.org/10.23918/eajse.v8i3p94
Orhan Tuğ, Eberhard Malkowsky, Bipan Hazarika, Taja Yaying, "On the New Generalized Hahn Sequence Space $h_d^p$", Abstract and Applied Analysis, vol. 2022, Article ID 6832559, 11 pages, 2022. https://doi.org/10.1155/2022/6832559.
Orhan Tuğ, "The Generalized Difference Operator $Delta_i^3$of Order Three and Its Domain in the Sequence Spaces $ell_1$ and $bv$", Journal of Mathematics, vol. 2022, Article ID 6343084, 13 pages, 2022. https://doi.org/10.1155/2022/6343084
Tuǧ, Orhan, Viladimir Rakočević, and Eberhard Malkowsky. "On the spaces ℬ 𝒱 𝜗 0 of double sequences of bounded variation." Asian-European Journal of Mathematics (2022): 2250204. https://doi.org/10.1142/S1793557122502047
Tuǧ, O. (2021) The spaces of B(r,s,t,u) strongly almost convergent double sequences and matrix transformations, Bulletin des Sciences Mathématiques, V.169. https://doi.org/10.1016/j.bulsci.2021.102989.
Tuğ, O. (2018). On almost B-summable double sequence spaces. Journal of inequalities and applications, 2018(1), 9.
Tuǧ, O. (2017). Four-dimensional generalized difference matrix and some double sequence spaces. Journal of inequalities and applications, 2017(1), 149.
Tuǧ O. (2017). Four-Dimensional Generalized Difference Matrix and Almost Convergent Double Sequence Spaces. In: Kalmenov T., Nursultanov E., Ruzhansky M., Sadybekov M. (eds) Functional Analysis in Interdisciplinary Applications. FAIA 2017. Springer Proceedings in Mathematics & Statistics, vol 216. Springer, Cham
Tug, O. (2017). On the Domain of Nörlund Matrix in the Space of Bounded Variation Sequences. Eurasian J. Sci. Eng, 3, 111-120.
Tuğ, O. (2017). On the Matrix Domain in the Sequence u. Eurasian Journal of Science and Engineering, 3(1), 204-211.
Tuğ, O., & Doğan, M. (2017). Review on Some Sequence Spaces of p-adic Numbers. Eurasian Journal of Science and Engineering, 3(1), 231-237.
Tug, O. (2017). On some Generalized Nörlund Ideal Convergent Sequence Spaces. ZANCO Journal of Pure and Applied Sciences, 28(6), 97-103.
Tuğ, O., & Başar, F. (2016, August). Four-dimensional generalized difference matrix and some double sequence spaces. In AIP Conference Proceedings (Vol. 1759, No. 1, p. 020075). AIP Publishing.
Tuǧ, O., & Başar, F. (2016). On the spaces of Nörlund almost null and Nörlund almost convergent sequences. Filomat, 30(3), 773-783.
Tug, O., & Basar, F. (2016). On the domain of Nörlund mean in the spaces of null and convergent sequences, TWMS J. Pure Appl. Math, 7(1), 76-87.
Tuğ, O., Doğan, M., & Kurudirek, A. (2012). Some New Double-Sequence Spaces in 2-Normed Spaces Defined by Ideal Convergence and an Orlicz Function. ISRN Mathematical Analysis, 2012.
Tuğ, O. (2012). Some Almost Lacunary Double Sequence Spaces Defined by Orlicz Functions in 2-Normed Spaces. ISRN Mathematical Analysis, 2012.
1.On the domain of Nörlınd Mean in the space of almost null and almost convergent sequence space, KMD 2014 Karatekin Mathematics days 2014 International Mathematics Symposium (11-13 June, 2014)
2.Generalized Weighted Nörlund Mean and Ideal Convergence,ICRAPAM 2014 1st International conference on Recent in Pure and Applied mathematics (6-9 November 2014)
3.On the space of Nörlund Almost null and Norlund Almost Convergent Sequences, ICRAPAM 2015 2nd International conference on Recent in Pure and Applied mathematics (3-6 June 2015)
4.Four dimensional generalized difference matrix and some double sequence spaces, AMS 2015 International conference on Advancements in mathematical sciences (5-7 November, 2015)
5.On some Generalized Nörlund Ideal Convergent Sequence Spaces, International Conference on Energy, Environment and Applied Science (ICEEAS-2016) 10-11 April 2016, Ishik University, Erbil, IRAQ. And Co-Chair of the conference
6.Four dimensional generalized difference matrix and some double sequence spaces, ICAAM 2016 Third International Conference on Analysis and Applied Mathematics, September 7-10, 2016 in Almaty, Kazakhstan
7.B-summable almost convergent double sequences, International Conference on Applied science, Energy and Environment, ICASEE-2017, May 20-21, 2017Erbil IRAQ
8.On The Sequence Space bv(N^t) And Some Applications, International Conference on Applied science, Energy and Environment, ICASEE-2017, May 20-21, 2017Erbil IRAQ
9.On the Characterization of Some Classes of Four Dimensional Matrices and Almost Bsummable Double Sequences, National Conference on Pure and Applied Mathematics and Mathematics Education, NCPAME-2018, February 11-12, 2018, Erbil-IRAQ
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