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I live in Pittsburgh right now and RA for a professor at Pitt, so I am very familiar with Duquesne as an undergrad institution. In Pittsburgh at least, a lot of locals attend because it is a Catholic school and a "safety school," particularly for those who do not want to leave home and do not get accepted at Carnegie Mellon or Pitt. However, since you are an international student you may be regarded higher than domestic students from the same institution, and your excellent undergrad transcript will also help your admission results.
The only major question that immediately drew my attention is that I've never seen a linear algebra class that also covered differential equations. Was this a year long class? Does Duquesne offer an additional linear algebra course to supplement this because I can't imagine covering all the material in a half a semester.
I would agree with mosfro that you should add Pitt or PSU to your list of schools. Best of luck!
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Attending: Wisconsin-Madison
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