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College of Science and Mathematics
Department of Mathematics
Department Chair, Mathematics
Associate Dean, Mathematics
Associate Dean, Mathematics
I have taught almost all undergraduate classes either at AU or elsewhere, except applied statistics classes.
At the graduate level, I have taught and enjoy teaching analysis and applied mathematics classes, including partial differential equations, numerical analysis, real analysis, and mathematical modeling.
My main interest is interdisciplinary mathematical modeling with a whole problem approach. That is, I work with experimentalists in engineering and science to develop models of the particular phenomena they are interested in, use the tools of mathematical analysis to determine answers to questions such as is the model well-posed, does the model have the qualitative properties seen in experiment. I proceed to use experimental data to solve the necessary inverse problems to calibrate the model. Finally, using the model predictions I suggest directions for future experimentation. \Often such problems raise novel mathematical questions which I then investigate.