Professor, Department of Mathematics

  Biography

· Ph.D. in Mathematics,  Clarkson University

· Ms. S. in Physics,  Bogazici University

· B.S. in Physics,  Istanbul University

   Married to Can S. Mugan, and has a daughter, Ugurcan

Fields of Interest

· Ordinary and Partial Differential Equations

· Integrability of Nonlinear Partial Differential Equations

· Special Solutions and Properties of Painlevé Equations

· Second Order Second Degree Painlevé Type Equations

· Higher Order Painlevé Type Equations

· Discrete Painlevé Equations

· Inverse Monodromy Transform

· Riemann-Hilbert Problems

 Recent publications

• "Generalized Scaling Reductions and Painlevé Hierarchies", w/ P.R. Gordoa, A. Pickering,  Applied Mathematics and Computation,  219 (2013)  8104-8111, PDF (Preprint).
• "On the Solvability of Discrete Second Painlevé Equations", w/ P.M. Santini, Journal of Physics A: Math & Theor. , 44 (2011)  185204 (13pp), PDF .
• "First-order Second-degree Equations Related with Painleve Equations ", w/  A. Sakka,  International Journal of  Nonlinear Science, 8 (2009), No.3, 259-273,  PDF .
• "Cauchy problem for the second member of a PIV hierarchy ", w/  A. Pickering,  Journal of Physics A: Math & Theor. , 42 (2009)  085203 (11pp),  PDF .
• "Third order differential equations with fixed critical points ", w/  Y. Adjabi, F. Jrad, A. Kessi,  Applied Mathematics and Computation, 208 (2009)  238-248,  PDF .

 Courses taught 

   Undergraduate Level

• MATH 101, 102, Calculus for Engineers and Scientist I, II,  (Spring 1997-98)
• MATH 202, Complex Analysis - Syllabus ,  (Spring 2012-13)
• MATH 220, Linear Algebra - Syllabus  , (Fall 2011-12)
• MATH 225, Linear Algebra and Differential Equations - Syllabus  , (Summer 2012-13) 
• MATH 227, Introduction to Linear Algebra, Syllabus (Spring 2007-08)
• MATH 240, Differential Equations -  Syllabus , (Spring 2014-15)
• MATH 244, Boundary Value Problems, (Spring 1992-93)
• MATH 443, Partial Differential Equations - Syllabus , (Fall 2014-15)
• MATH 492, Senior Project I,   (Fall 2012-13)
• MATH 492, Senior Project II,   (Spring 2011-12)

   Graduate Level

• MATH 543, Methods of Applied Mathematics I, Ordinary Differential Equations - Syllabus (Fall 2002-03)
• MATH 544,  Methods of Applied Mathematics II, Partial Differential Equations - Syllabus (Spring 2002-03)

 Contact Information

   Office     :  Bilkent University, Faculty of Science, A Block,  SA-117

   Address  : Department of Mathematics, Bilkent University

06800 Bilkent, Ankara, TURKEY

   Phone     : +90 (312) 290-1590  ( Office)

   Fax         :  +90 (312) 266-4579  (Attn. Ugurhan Mugan)

   © 2013, U. Mugan,                        Last update: Under continuous construction , March 2013 .