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...Its foundations are in linear algebra, and it may be viewed as a very high-powered version of linear algebra. My favorite example of this is the Bruhat decomposition for a reductive algebraic group. It is a sophisticated theorem in this generality, but its content amounts to a statement about row-reduction. (Cf.

...As an undergraduate, I took multiple classes, in the Computer Science and Math departments, that covered formal logic. I'm somewhat personally interested in the history and philosophy of logic, and have read books on the subject. I used MATLAB extensively while studying Psychology and Cognitive Science at the graduate and undergraduate levels.

...I've looked at the unique difficulties the second generation of immigrants face in preserving their religious beliefs and how religion can often play a central role in influencing adaptation strategies. I am particularly interested in the value of ritual and symbolism in various belief systems i...

...I also reviewed most of the material from the lecture as well. In the two sequences of "aural skills," I taught sight-singing to various levels of undergraduate students; from non-readers, to music majors. My theory-based approach emphasizes scale-degree functions as a starting point to hearing intervals.

...I also have unique ways of remembering the dozens of formulas that trig uses. Lastly, I have a special graphing technique that will make graphing trig functions super easy. No subject strikes terror into the heart of a student like statistics does.

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