Teaching Statement:

During my work at Texas Tech University I have taught a broad spectrum of undergraduate mathematics courses ranging from introductory level to upper level. The list of courses include: College Algebra, Trigonometry, Analytical Geometry, Calculus I, II, and III, Linear Algebra, Higher Mathematics for Engineers and Scientists, Foundations of Algebra I and II, Advanced Calculus I and II, Mathematical Statistics for Engineers and Scientists. On the graduate level I have taught Classical Applied Analysis I and II, Applied Linear Algebra, Functional Analysis, Theory of Sobolev Spaces, Ordinary and Partial Differential Equations. I have directed an advanced undergraduate student in two individual study courses, which were, in fact, graduate level courses in Linear Algebra and Differential Geometry. In the 2001-2002 academic year I am teaching two one-year graduate courses: Functional Analysis and Mathematical Methods in Quantum Field Theory. The latter course is taught to an audience of graduate students of the Physics Department and faculty of the Mathematics Department.

Over the years at Texas Tech I have received five teaching awards. Namely, in 1992, 1994, and 1997 I was named Mathematics Professor of the Year by the Kappa Mu Epsilon Mathematics Honor Society. In 1996 I received a Special Recognition for Excellence in Teaching and Service by the Student Chapter of the Mathematical Association of America. In the Spring of 1998 I received the President's Excellence in Teaching Award.

I have directed the research of four Ph.D. students, six MS students, and one MA student. (Three of the Ph.D. students and six of the MS/MA students were directed jointly with Professor D.S. Gilliam. In the Summers of 1999 and 2000 I have directed, jointly with D.S. Gilliam, the research of two high school teachers. This research was supported by two Supplemental Advanced Research Program of Texas Grants. Also, in the Summer of 1999 we have directed the research work of a Clark scholar.

In addition to the above, I have taught several extracurricular courses and presented several series of seminar lectures. These courses and seminars had three main objectives: to bring graduate students to the level of Ph.D. research, to attract new graduate students to the research, and to provide reviews and overviews in several research areas to interested faculty members. The following is a list of the extracurricular courses I have taught: 1) In the Spring of 2000 I taught a course of Differential Geometry to a group consisting of several graduate students and one advanced undergraduate undergraduate student; 2) Beginning in the Summer of 1998 and continuing through the Fall Semester I presented a course consisting of 22 lectures on Tornado Dynamics to an audience of students and faculty from the Department of Mathematics and Statistics and the Departments of Geosciences and Civil Engineering; 3) In the Fall of 1998 I presented 6 talks on Dirac Operators in the Geometry and Analysis Seminar; 4) In the Spring of 1996 I presented a series of 10 lectures on Center Manifold Theory for Infinite Dimensional Dynamical Systems; 5) In the Fall of 1995 I presented a series of 5 talks on Output Regulation for Lumped Nonlinear Systems; 6) In the Spring and Fall of 1995 I presented a course of 15 lectures on Functional Analytic Methods for Navier-Stokes Equations; 7) During the 1993-1994 school years I presented a course of 16 lectures on Galerkin Methods and Attractor Theory for Nonlinear Parabolic Equations; 8) In the Fall of 1992 I presented 7 lectures on A Constructive Proof of the Caran-Ambrose-Singer Theorem; 9) In the Fall of 1992 I presented 10 Lectures on Stochastic Approximations in a Seminar on Inverse Problems; 10) In the Spring of 1992 I presented 14 lectures on Stochastic Differential Equations and Diffusion Processes in the Control Theory Seminar.

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