Recent publications
- "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 .
- "Bäcklund
transformations for discrete Painlevé
equations: Discrete
PII
- PV
", w/ A. Sakka,
Chaos
Solitons and Fractals,
27 (2006) 387–394,
PDF .
- "Non-polynomial fourth order equations which
pass the Painlevé test", w/ F.Jrad, Zeitschrift für Naturforschung A,
60a (2005) 387-400,
PDF
(Preprint).
- "Schlesinger transformations for discrete
second Painlevé Equation: d-PII", w/ A. Sakka and P.M. Santini,
Phys. Lett. A.,
336/1
(2005) 37-45,
PDF.
Courses taught
Undergraduate Level
- MATH 101, 102, Calculus for Engineers
and Scientist I, II, (Spring 1997-98)
- MATH 202,
Complex Analysis -
Syllabus
,
(Spring 2010-11)
- MATH 220,
Linear Algebra -
Syllabus
,
(Fall 2011-12)
- MATH 225,
Linear Algebra and
Differential Equations
-
Syllabus
, (Fall 2010-11)
- MATH 227,
Introduction to Linear Algebra,
Syllabus
(Spring 2007-08)
- MATH 240,
Differential Equations - Syllabus ,
(Fall 2011-12)
- MATH 244, Boundary Value Problems,
(Spring 1992-93)
- MATH 443,
Partial Differential Equations
-
Syllabus ,
(Fall 2008-09)
- MATH 492, Senior Project I,
(Fall 2008-09)
- MATH 492, Senior Project II,
(Spring 2008-09)
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)
|
