ÖZGEÇMİŞ VE ESERLER LİSTESİ

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1 ÖZGEÇMİŞ VE ESERLER LİSTESİ ÖZGEÇMİŞ Adı Soyadı : Murat Kemal KARACAN Doğum Tarihi : 24 Nisan 1970 Doğum Yeri : Yeşilhisar-KAYSERİ Tel : [email protected] Öğrenim Durumu: Derece Bölüm/Program Üniversite Yıl Lisans Matematik Erciyes Üniversitesi 1991 Yüksek Lisans Fen Bil. Ens. Matematik Erciyes Üniversitesi 1995 Doktora/S.Yeterlik/ Tıpta Uzmanlık Fen Bil. Ens. Matematik Ankara Üniversitesi 2004 Yüksek Lisans Tez Başlığı ve Tez Danışmanı : Merkezi İzdüşüm ve Bu İzdüşümde Metrik Tespitler Prof.Dr. Mehmet PALAMUTLUOĞLU Doktora Tezi/S.Yeterlik Çalışması/Tıpta Uzmanlık Tezi Başlığı ve Danışmanı : İki Parametreli Hareketlerin Kinematik Uygulamaları Prof. Dr. Yusuf YAYLI Yönetilen Yüksek Lisans Tezleri : 1. Özkan Coşkun, 3-Boyutlu Öklid Ve Minkowski Uzaylarında Mannheim Eğri Çiftleri, Uşak Üniversitesi Fen Bilimleri Enstitüsü, Temmuz Nazlı Arık, 3-Boyutlu Öklid Ve Minkowski Uzayında Biharmonik Eğriler, Uşak Üniversitesi Fen Bilimleri Enstitüsü, Temmuz Fatma Bozkurt, Kanal Yüzeylerinin Geometrik Özellikleri, Uşak Üniversitesi Fen Bilimleri Enstitüsü, Temmuz 2012

2 Görevler: Görev Görev Yeri Yıl Unvanı Arş.Gör. K.Maraş Sütçü İmam Üniv. Fen Edeb. Fakültesi,Matematik Arş.Gör. Ankara Üniversitesi Fen Fakültesi,Matematik Arş.Gör.Dr. K.Maraş Sütçü İmam Üniv. Fen Edeb.Fakültesi,Matematik Yar.Doç.Dr. Uşak Üniversitesi Fen Edeb. Fakültesi,Matematik Doç.Dr. Uşak Üniversitesi Fen Edeb. Fakültesi,Matematik İdari Görevler : Bölüm Başkanı : Uşak Üniversitesi Fen Edeb. Fakültesi,Matematik Dekan Yardımcısı : Uşak Üniversitesi Fen Edeb. Fakültesi,Matematik ESERLER A. Uluslararası hakemli dergilerde yayımlanan makaleler : A1. M.K.Karacan,Y.Yaylı, Special Two Parameter Motion in Lorentzian Plane, Thai Journal of Mathematics, Vol 2, Number 2, December 2004 A2. Y.Yaylı,N.Yaz, M.K.Karacan, Hamilton Operators and Homothetic Motion in 3 R, Applied Mathematics and Mechanics, (English Edition), Vol.25 No.8 pp , 2004 A3. M.K.Karacan,Y.Yaylı, Special Two Parameter Motion, Mathematical and Computational Applications, Vol. 10, No. 1, pp , 2005 A4. M.K.Karacan,Y.Yaylı, General Two Parameter Motion, Hadronic Journal, Algebras, Groups And Geometries, Volume 22, Number 1, March 2005 A5. L.Kula, M.K.Karacan,Y.Yaylı, Formulas for the Exponential of a Semi-Skew

3 Symetric Matrix of Order 4, Mathematical and Computational Applications, Vol. 10, No. 1, pp , A6. M.K.Karacan,H.Es,Y.Yaylı, Singular Points of Tubular Surfaces in Minkowski 3-Space, Sarajevo Journal of Mathematics, Vol.2 (14), 73-82, 2006 A7. B.Bukcu, M.K.Karacan, On the Involute and Evolute Curves of the Spacelike Curve with a Spacelike Binormal in Minkowski 3 Space, Int. J. Contemp. Math. Sciences, Vol. 2, no. 5, , 2007 A8. B.Bukcu, M.K.Karacan, On the Involute and Evolute Curves of the Timelike Curve in Minkowski 3 Space, Demonstratio Mathematica, Volume XL, No:3, 2007 A9. M.K. Karacan, Bahaddin Bukcu, An alternative moving frame for tubular surfaces around timelike curves in the Minkowski 3-space, Balkan Journal of Geometry and Its Applications, Vol.12, No.2, pp , 2007 A10. M.K. Karacan, Y. Yaylı, On The Instantaneous Screw Axes of Two Parameter Motions, Facta Universitatis, Series: Mechanics, Automatic Control and Robotics, Vol. 6, No 1, pp , 2007 A11. M.K.Karacan, B.Bukcu, An Alternative Moving Frame for Tubular Surface around the Spacelike Curve with a Spacelike Binormal in Minkowski 3-Space, Mathematica Moravica, Vol:11, pp:47 54, 2007 A12. M.K. Karacan, B.Bukcu, N. Yuksel On The Dual Bishop Darboux Rotation Axis of The Dual Space Curve, Applied Sciences, Vol: 10, No:1, 2008 A13. B.Bukcu, M.K. Karacan, N. Yuksel On the Dual Bishop Darboux Rotation Axis of the Timelike Dual Curve, Far East Journal of Mathematical Sciences Volume 31, Issue 2, Pages (November 2008) A14. B.Bukcu, M.K. Karacan, On The Slant Helices According To Bishop Frame of The Timelike Curve in Lorentzian Space Tamkang Journal of Mathematics, Vol: 39, No:3, 2008

4 A15. M.K. Karacan,Y.Yayli, On The Geodesics of Tubular Surfaces in Minkowski 3- Space, Bulletin of The Malaysian Mathematical Sciences Society, Vol. 31, No. 1, 2008 A16. M.K. Karacan, B.Bukcu, Bishop Frame Of The Timelike Curve in Minkowski 3- Space, SDÜ Fen Edebiyat Fakültesi Fen Dergisi (E-Dergi), Volume 3, Issue 1, pp: 80-90, 2008, A17. M.K. Karacan, B.Bukcu, An Alternative Moving Frame for A Tubular Surface Around A Spacelıke Curve with a Spacelike Normal in Minkowski 3-Space,Rendiconti del Circolo Matematico di Palermo, Vol. 57, 2008 A18. B.Bukcu, M.K. Karacan, Bishop Frame of The Spacelike curve with a Spacelike Principal Normal in Minkowski 3-Space, Commun.Fac.Sci.Univ.Ank.Series A1,Volume 57, Number 1, Pages:13-22, 2008 A19. B.Bukcu,M.K.Karacan, Special Bishop Motion and Bishop Darboux Rotation Axis of The Space Curve, Journal of Dynamical Systems and Geometric Theories. Vol.6, No:1,2008 A20. B.Bukcu, M.K.Karacan, Special Bishop Motion and Bishop Darboux Rotation Axis of The Timelike Curve in Minkowski 3-Space, Kochi Journal of Mathematics, vol. 4,2009 A21. M.K.Karacan,L.Kula, On the instantaneous Screw Axes of Two Parameter Motions in Lorentzian space, Scientia Manga, Vol. 5, No. 1, pp:65-72, 2009 A22. B.Bukcu, M.K.Karacan, On Involute and Evolute Curves of Spacelike Curve with a Spacelike Principal Normal in Minkowski 3-Space, International J.Math. Combin. Vol.1,pp:27-37, 2009 A23. B.Bukcu,M.K. Karacan, The Slant Helices According to Bishop Frame, International Journal of Computational and Mathematical Sciences, Volume 3,Number 2, Spring 2009 A24. M.K.Karacan,B.Bukcu, On The Elliptic Cylindrical Tzitzeica Curves in Minkowski 3- Space, Scientia Manga, Vol. 5, No.3, 44-48, (2009)

5 A25. N. Yuksel,M.K. Karacan, B.Bukcu On the Dual Bishop Darboux Rotation Axis of the Dual Spacelike curve with a Spacelike Binormal, Antarctica Journal of Mathematics,Volume 6, 2009 A26. H.Es, M.K.Karacan, Y.Yayli, Singular Points of Tubular Surface Journal of Xuzhou Normal University (Natural Science Edition), Vol.24, No:4, Dec A27. B.Bukcu, M.K. Karacan, The Slant Helices According to Bishop Frame of the Spacelike Curve in Lorentzian Space, Journal of Interdisciplinary Mathematics, Volume No. : 12, Issue No: 05, October 2009 A28. M.K.Karacan,B.Bukcu, The Bishop Darboux Rotation axis of the Spacelike Curves with a Spacelike Principal Normal in Minkowski 3-Space, Revista Notas de Matemática,Vol.5(2),No. 279, pp , 2009 A29. M.K.Karacan,B.Bukcu, On Natural Curvatures of Bishop Frame, Journal of vectorial Relativity, Vol. 5, Issue No. 4,, December 2010 A30. M.K.Karacan, Y.Tuncer, Tubular W-surfaces in 3-space, Scientia Manga, Vol.6, No:3, pp:55-62, December 2010 A31.B.Bukcu,M.K. Karacan, Bishop Frame of The Spacelike curve with a Spacelike Binormal in Minkowski 3-Space, Selçuk J. Appl. Math., Vol. 11. No.1. pp , 2010 A32. M.K.Karacan, Y.Tuncer, M.Doruk, Darboux Rotation Axis of the Curve in Galilean and Pseudo-Galilean Spaces, Journal of Vectorial Relativity, Vol. 6, Issue No. 1, pp: , March 2011 A33. M.Çetin, M.K. Karacan, Y.Tunçer, Bishop Motion In Minkowski 3-Space, International Journal of Physical and Mathematical Sciences, Vol 2, No 1,pp:25-32, 2011 A34. M.Çetin, M.K.Karacan,Y.Tunçer, Serret-Frenet Motion In Minkowski 3-Space, International Journal of Physical and Mathematical Sciences, Vol 2, No 1,pp:33-38, 2011

6 A35. Y.Tunçer, D.W. Yoon, M.K.Karacan, Weingarten and Linear Weingarten Type Tubular Surfaces in 3 E, Mathematical Problems in Engineering, Volume 2011, Article ID , 11 pages, doi: /2011/ A36. N.Yüksel,Y.Tunçer, M.K.Karacan, Tabular Surfaces with Bishop Frame of Weingarten Types in Euclidean 3-Space, Acta Universitatis Apulensis Seria Mathematics-Informatics,No. 27, pp:39-50,2011 A37. B.Bükcü, M.K.Karacan, New Characterizations for Bertrand Curves in Minkowski 3- Space, International J.Math. Combin. Vol.2 (2011), A38. M.K.Karacan, Weakened Mannheim Curves, International Journal of the Physical Sciences, Vol. 6(20), pp , 23 September, 2011 A39. M.K.Karacan,Y.Tunçer, Bäcklund transformations According to Bishop frame in Euclidean 3-Space, Siauliai Mathematical Seminar,Vol:7, No:15, pp:41-49,2012 A40. M. K. Karacan,Y. Tunçer, Weakened Mannheim curves in Galilean 3- Space, International Electronic Journal of Geometry (IEJG), Volume 5, No. 2, pp , 2012 A41. D.W. Yoon,Y.Tunçer, M.K.Karacan, Non-degenerate Quadric surfaces of Weingarten type, Annales Polonici Mathematici, 107, 59-69, 2013, doi: /ap A42. M. K. Karacan,Y. Tunçer, Tubular Surfaces of Weingarten Types in Galilean and Pseudo-Galilean 3-Spaces, Bulletin of Mathematical Analysis and Applications, Volume 5 Issue 2 (2013), Pages A43.D.W.Yoon,, C.W. Lee, M.K.Karacan, Some Translation Surfaces in the 3- Dimensional Heisenberg Group, Bulletin of the Korean Mathematical Society. 50 (2013), No. 4, pp , Jul 01 A44. D.W.Yoon, Y.Tuncer, M.K. Karacan, Generalized Mannheim Quaternionic Curves in Euclidean 4-Space, Applied Mathematical Sciences,, Vol. 7, no. 132, , 2013,

7 A45 M. Çetin,Y. Tunçer,M. K. Karacan, Smarandache Curves According to Bishop Frame in Euclidean 3-Space, Gen. Math. Notes, Vol. 20, No. 2, pp.50-66, February 2014 A46.M.K. Karacan, D.W.Yoon, Y.Tuncer, Tubular surface of Weingarten Types in Minkowski 3-Space, General Matematics Notes, Vol. 22, No. 1, pp.44-56, May 2014 A47.İ.A.Güven,S.Kaya,M.K.Karacan, Ruled Weingarten Surfaces Related to Dual Spherical Curves, Gen. Math. Notes, Vol. 24, No. 2,, pp.10-17, October 2014 A49.D.W.Yoon, Y.Tuncer, M.K. Karacan, On Curves of Constant Breadth in a 3- Dimensional Lie Group, Acta Mathematica Universitatis Comenianae, Vol., pp. 1 6, 2015 A50.Y.Tuncer, M.K. Karacan,D.W.Yoon, Non-Null Weakened Mannheim curves in Minkowski 3-Space, Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, DOI: /aicu , February 2015 A51. M.K. Karacan, Y.Tuncer, Weakened Mannheim curves in Pseodo-Galilean 3- Space, Thai Journal of Mathematics,2015 A52. M.K. Karacan, Y.Tuncer, Backlund transformations According to Bishop Frame in Minkowski 3-Space, Acta et Commentationes Universitatis Tartuensis de Mathematica,2015 A53.S.Kaya,M.K.Karacan, Y.Tuncer, Darboux Rotation Axis of a Null Curve in Minkowski 3-space, J. Math. Comput. Sci.,2015 A54.Y.Tuncer,M.K.Karacan,D.W.Yoon, Homothetic Bishop Motion Of Euclidean Submanifolds in Euclidean 3-Space, Palestine Journal of Mathematics,2015

8 B. Ulusal hakemli dergilerde yayımlanan makaleler : B1. Y.Yaylı, H.H. Hacisalihoğlu, M.K. Karacan, Cayley Sayıları ve Cisim Yapıları F. Ü. Fen ve Mühendislik Bilimleri Dergisi, 16(3), , 2004 B2. B.Bukcu, M.K. Karacan, The Bishop Darboux Rotation Axis Of The Spacelike Curve in Mınkowskı 3-Space, Ege University, Journal of the Faculty of Science JFS, Vol 30,pp:1-5, 2007 B3. M.K.Karacan,B.Bukcu, On The Hyperbolic Cylindrical Tzitzeica Curves in Minkowski 3-Space, BAÜ FBE Dergisi, Cilt:10, Sayı:1, 46-51,Temmuz 2008 B4. M.K. Karacan, B.Bukcu, Parallel (Offset) Curves In Lorentzian Plane, Journal of The Institute of Science And Technology of Erciyes University, Vol:24, Issue:1-2, pp: , 2008 B5. M.K.Karacan,Y.Tunçer, Characterization of Slant Helix in Galilean and Pseudo- Galilean Spaces, SAÜ Fen Edebiyat Dergisi,,pp:43-53, 2010