Projects

  1. İbrahim Keçoğlu – P.Levrie, Lost and Found: An Unpublished  ζ(2) Proof, The Mathematical Intelligencer volume 33, pages 29–32 (2011) [link] (assistant: Mehmet Batu Bayındırlı)
  2. Erdem Akan – Daniele Ritelli, Another Proof of ζ(2) Using Double Integrals, The American Mathematical Monthly, 120:7, 642-645 (2013), [link]
  3. Ahmet Genişyürek – Thomas J. Osler, Finding ζ(2p) from a Product of Sines, The American Mathematical Monthly, Vol. 111, No. 1, pp. 52-54 (2004) [pdf]
  4. Nedim Lerzan Hallaçlı – J. Starrett, Solving Differential Equations by Symmetry Groups, The American Mathematical Monthly , Nov., 2007, Vol. 114, No. 9, pp. 778-792 [pdf] (assistant: Dilara Kosva)
  5. Kerim Saygın – Peter D. Lax, The Cauchy Integral Theorem, The American Mathematical Monthly , Oct., 2007, Vol. 114, No. 8, pp. 725-727 [pdf] (assistant: Mehmet Batu Bayındırlı)
  6. Yağızhan Şahin – Q. van der Hoff and A. Harding, Review of a predator-prey model with two limit cycles, International Journal of Mathematical Education in Science and Technology, 50:6, 921-933 (2019) [link]
  7. Mehmed Emin Dinsever – Frank R. Pfaff, A Commutative Multiplication of Number Triplets, The American Mathematical Monthly , Feb., 2000, Vol. 107, No. 2, pp. 156-162 [pdf]
  8. Sadık Taha İnanıcı and Raziye Ayşegül Tunç – Dov Aharonov, Alan Beardon and Kathy Driver, Fibonacci, Chebyshev, and Orthogonal Polynomials, The American Mathematical Monthly , Aug. – Sep., 2005, Vol. 112, No. 7, pp. 612-630 [pdf] (project for two students)
  9. Ayberk Nardan – Alan Edelman and Gilbert Strang, Pascal Matrices, The American Mathematical Monthly , Mar., 2004, Vol. 111, No. 3, pp. 189-197 [pdf]
  10. Reyhan Durucu – Paul Monsky, Kepler’s First Law: A Remark, The American Mathematical Monthly, Vol. 111, No. 4, pp. 355-356 [pdf]
  11. Batuhan Uslu – Grzegorz Rzadkowski, A Short Proof of the Explicit Formula for Bernoulli Numbers, The American Mathematical Monthly , May, 2004, Vol. 111, No. 5, pp. 432-434 [pdf] (assistant: Ege Aktener)
  12. Ertuğrul Yavuz – Darko Veljan, Geometry and Convexity of cos √x, The American Mathematical Monthly , Aug. – Sep., 2004, Vol. 111, No. 7, pp. 592-595 [pdf]
  13. Jonathan M. Borwein, Hilbert’s Inequality and Witten’s Zeta-Function, The American Mathematical Monthly, Feb., 2008, Vol. 115, No. 2,pp. 125-137 [pdf] (project for two students)
  14. Yiğit Kağan Göçmen – Grzegorz Rzadkowski, Derivatives and Eulerian Numbers, The American Mathematical Monthly , May, 2008, Vol. 115, No. 5, pp. 458-460 [pdf]
  15. Egemen Şahin – Peter Hilton and Jean Pedersen, The Euler Characteristic and Pólya’s Dream, The American Mathematical Monthly , Feb., 1996, Vol. 103, No. 2, pp. 121-131[pdf] (assistant: Ege Aktener)
  16. Furkan Baba – K. E. Bisshopp, The Triple Vector Product A × (B × C), The American Mathematical Monthly , Feb., 1965, Vol. 72, No. 2, pp. 163-165 [pdf]
  17. Eyüp Ülker – Louis Zulli, Charting the 3-Sphere–An Exposition for Undergraduates, The American Mathematical Monthly , Mar., 1996, Vol. 103, No. 3, pp. 221-229 [pdf] (assistant: Şebnem Karaçubuk)
  18. Walter B. Carver, Complex Numbers and their Graphical Representation, The American Mathematical Monthly , Nov., 1956, Vol. 63, No. 9, Part 2, pp. 1-7 [pdf]
  19. Yusuf Enes Korkmaz – Shigeru Haruki, A Property of Quadratic Polynomials, The American Mathematical Monthly , Aug. – Sep., 1979, Vol. 86, No. 7, pp. 577-579 [pdf]
  20. Yağmur Bülbül – Tyre A. Newton, A Simple Algorithm for Finding Eigenvalues and Eigenvectors for 2 × 2 Matrices, The American Mathematical Monthly , Jan., 1990, Vol. 97, No. 1, pp. 57-60 [pdf]
  21. Emirhan Ay – W. R. Utz, The Matric Equation X2 = A, The American Mathematical Monthly , Dec., 1979, Vol. 86, No. 10, pp. 855-856 [pdf]
  22. Yağız Eren Kiremit – A. J. B. Ward, A link between the matrix equation AX –XB = C and the matrix quadratic, International Journal of Mathematical Education in Science and Technology, 25:3, 407-411 (1994) [link]
  23. Eylül Küpçü – Munir Mahmood, Sali Hammad and Ibtihal Mahmood, An efficient algorithm for computing the roots of general quadratic, cubic and quartic equations, International Journal of Mathematical Education in Science and Technology, 45:7, 1095-1103 (2014) [link]
  24. N. Karjanto, Properties of Chebyshev polynomials, arXiv:2002.01342
  25. Işıl Paker – M. Z. Rafat, D. Dobie, Throwing π at a wall, arXiv:1901.06260
  26. A. Barnes, Geometrical meaning of the curl operation when A⋅curlA≠0, American Journal of Physics 45, 371 (1977) [link] (see also link)
  27. Alican Sağlar – J. P. McKelvey, The case of the curious curl, American Journal of Physics 58, 306 (1990) [link] (assistant: Oğuz Öner)
  28. Aybars Yalçın – Franco Battaglia, and Thomas F. George, Tensors: A guide for undergraduate students, American Journal of Physics 81, 498 (2013) [link] (assistant: Mehmet Dede)
  29. Talha Maviş – Roger B. Nelsen, Elementary Proofs of the Trigonometric Inequalities of Huygens, Cusa, and Wilker, Mathematics Magazine, 93:4, 276-283 (2020) [link]
  30. İbrahim Arslan – Alan F. Beardon, Complex Exponents and Group Theory, Mathematics Magazine, 93:3, 186-192 (2020) [link]
  31. Emre Hasar – John Engbers & Adam Hammett, Silos, Snow Cones, Railroad Spikes, and Spherical Coordinates, Mathematics Magazine, 93:2, 143-147 (2020) [link]
  32. Serdar Çite – Syed Abbas, Proving the Extended Binomial Theorem Using Ordinary Differential Equations, Mathematics Magazine, 93:1, 33-35 (2020) [link]
  33. Ege Kutay Akköy – David Treeby, Randomly Generated Identities, The College Mathematics Journal, 51:2, 90-94 (2020) [link]
  34. Deniz Sarman – Russell Euler, Maclaurin Expansion of Arctan x via L’Hôspital’s Rule, The College Mathematics Journal, 24:4, 347-350 (1993) [link]
  35. İrem Beyza Uralcan – E. John Hornsby Jr., Geometrical and Graphical Solutions of Quadratic Equations, The College Mathematics Journal, 21:5, 362-378 (1990) [link]
  36. Bahtiyar Yetiştiren – Floyd Vest, Graphing the Complex Roots of a Quadratic Equation, The College Mathematics Journal, 16:4, 257-261(1985) [link]
  37. Berilsu Öner – Elena Anne Marchisotto & Gholam-Ali Zakeri, An Invitation to Integration in Finite Terms, The College Mathematics Journal, 25:4, 295-308 (1994) [link]
  38. Batuhan Gövce – Arthur T. Benjamin & Daniel Walton, Counting on Chebyshev Polynomials, Mathematics Magazine, 82:2, 117-126, (2009) [link]
  39. Merve Kaftan – David Speyer & Bernd Sturmfels, Tropical Mathematics, Mathematics Magazine, 82:3, 163-173, (2009) [link]
  40. Raymond A. Beauregard & Vladimir A. Dobrushkin, Powers of a Class of Generating Functions, Mathematics Magazine, 89:5, 359-363 (2016) [link]
  41. Fatih Baha Boz – Harvey Diamond, Defining Exponential and Trigonometric Functions Using Differential Equations, Mathematics Magazine, 87:1, 37-42 (2014) [link]
  42. Batuhan Yılmazer – Connie Xu, A Unique Area Property of the Quadratic Function, Mathematics Magazine, 87:1, 52-56 (2014) [link]
  43. Yağmur Elsa Arslan – Ernst E. Scheufens, From Fourier Series to Rapidly Convergent Series for Zeta(3), Mathematics Magazine, 84:1, 26-32 (2011) [link]
  44. Zekeriya Gökhan Evelek – Alexander Kheifets & James Propp, A Counterexample to Integration by Parts, Mathematics Magazine, 83:3, 222-225 (2010) [link]
  45. Yiğit Ertaç Pektaş – Shirley Llamado Yap, Differential Equations—Not Just a Bag of Tricks!, Mathematics Magazine, 83:1, 3-14 (2010) [link] (assistant: Dilara Kosva)
  46. Can Şahingözü – Gary Brookfield, Yet Another Elementary Solution of the Brachistochrone Problem, Mathematics Magazine, 83:1, 59-63 (2010) [link]
  47. Peter M. Knopf, The Operator (x d/dx)^n and Its Applications to Series, Mathematics Magazine, 76:5, 364-371 (2003) [link]
  48. Ayşe Bilgin – James P. Lesko & Wendy D. Smith, A Laplace Transform Technique for Evaluating Infinite Series, Mathematics Magazine, 76:5, 394-398 (2003) [link]
  49. Badie Taye – G. Hossein Behforooz, Thinning Out the Harmonic Series, Mathematics Magazine, 68:4, 289-293 (1995) [link]
  50. Sarp Kargı – Kenneth S. Miller, Derivatives of Noninteger Order, Mathematics Magazine, 68:3, 183-1922 (1995) [link] (assistant: Mert Akdenizli)
  51. Mahir Can Dölek – F. M. S. Lima, A shortcut for solving the ubiquitous integral ∫ x^n e^{αx} dx using only derivatives, International Journal of Mathematical Education in Science and Technology, 51:1, 136-140 (2020) [link]
  52. Doğa Seçkin – Yukio Kobayashi, Geometrical meaning of arithmetic series , and in terms of the elementary combinatorics, International Journal of Mathematical Education in Science and Technology, 42:5, 657-664 (2011) [link]
  53. Süleyman Topukcu – Miguel Casquilho & Jorge Buescu, A minimum distance: arithmetic and harmonic means in a geometric dispute, International Journal of Mathematical Education in Science and Technology, 42:3, 399-405 (2011) [link]
  54. Ümit Furkan Cengiz – Yukio Kobayashi, Integral representation of the pictorial proof of , International Journal of Mathematical Education in Science and Technology, 42:2, 235-239 (2011) [link]
  55. Hamza Karaca – Thierry Dana-Picard, Integral presentations of Catalan numbers and Wallis formula, International Journal of Mathematical Education in Science and Technology, 42:1, 122-129 (2011) [link]
  56. Ata Atak – Shiv K. Gupta & Waclaw Szymanski, Cubic Polynomials with Rational Roots and Critical Points, The College Mathematics Journal, 41:5, 365-369 (2010) [link]
  57. Ahmet Emir Gökhan – Duane W. DeTemple, Counting Squares to Sum Squares, The College Mathematics Journal, 41:3, 214-221 (2010) [link]
  58. Robert D. Poodiack & Kevin J. LeClair, Fundamental Theorems of Algebra for the Perplexes, The College Mathematics Journal, 40:5, 322-336 (2009) [link]
  59. Deniz Çakan – Hongwei Chen, The Fresnel Integrals Revisited, The College Mathematics Journal, 40:4, 259-262 (2009) [link]
  60. Gizem Kırcan – Richard Hammack, A Geometric View of Complex Trigonometric Functions, The College Mathematics Journal, 38:3, 210-217 (2007) [link]
  61. Furkan Yıldırım – S. A. Fulling, How to Avoid the Inverse Secant (and Even the Secant Itself), The College Mathematics Journal, 36:5, 381-387 (2005) [link]
  62. Esra Ekici – Poo-Sung Park, Ramanujan’s Continued Fraction for a Puzzle, The College Mathematics Journal, 36:5, 363-365 (2005) [link]
  63. Sungur Özkan – Eugene Boman & Frank Uhlig, When 1/(a+b)=1/a+1/b, Anyway?, The College Mathematics Journal, 33:4, 296-300 (2002) [link]
  64. Hatice Zeynep Göktürk – Herb Bailey, On Running in the Rain, The College Mathematics Journal, 33:2, 88-92 (2002) [link]
  65. Doğa Devrim Çelik – Asuman Aksoy & Mario Martelli, Mixed Partial Derivatives and Fubini’s Theorem, The College Mathematics Journal, 33:2, 126-130 (2002) [link] (assistant: Ege Çoban)
  66. Yunus Emre Türkoğlu – Frank Burk, Summing Series via Integrals, The College Mathematics Journal, 31:3, 178-181 (2000) [link] (assistant: Oğuz Öner)
  67. Hasan Alihan Uysal – A. P. Stone, Power Series Expansions for Trigonometric Functions via Solutions to Initial Value Problems, Mathematics Magazine, 64:4, 247-251 (1991) [link]
  68. Hikmet Abdülkadir Ahmed – T. Y. Lam, On the Diagonalization of Quadratic Forms, Mathematics Magazine, 72:3, 231-235 (1999) [link]
  69. Seyoum Getu, Evaluating Determinants via Generating Functions, Mathematics Magazine, 64:1, 45-53 (1991) [link]
  70. Ayşe Serra Cengiz – Dumitru Acu, Some Algorithms for the Sums of Integer Powers, Mathematics Magazine, 61:3, 189-191 (1988) [link]
  71. W. B. R. Lickorish & K. C. Millett, The New Polynomial Invariants of Knots and Links, Mathematics Magazine, 61:1, 3-23 (1988) [link] (project for two students)