I am a mathematician by training. Overall, I consider myself an analysis person. My main areas of research are Linear Algebra and Operator Theory. In view of this, I have a solid background in Linear Algebra and Mathematical Analysis. I am particularly interested in reducibility and triangularizability results on collections of linear transformations and (compact) linear operators in the context of real, complex, and quaternion spaces. With my background in mathematics, I can teach almost any course at the undergraduate level, e.g., any course in Mathematical Analysis including Ordinary and Partial Differential Equations, Algebra and Linear Algebra, and Engineering Mathematics, and have taught a variety of courses at the graduate level; a list, so far, goes as follows: Real Analysis, Complex Analysis, Functional Analysis, Operator Theory, Advanced Linear Algebra, Theory of ODE's, Differentiable Manifolds, Algebraic Topology, and Advanced Engineering Mathematics for Civil Engineers. I am adventurous when it comes to teaching. I am interested in problem solving as well. Mathematical problems are the heart of mathematics and a great source of inspiration for new problems and mathematical theories. I like and enjoy the challenge of math problems, whether or not I can solve them! I can hardly imagine a mathematician without being able to solve mathematical problems. .مستیم ز جام شمس تبریز جام می او مباد بی ما! مولانا Translation: Drunk we are from the wine cup of Shams of Tabriz. May his wine cup be never without us! -Rumi Contact Details:
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