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Applied Math or Physics MS programs for other department undergrads


lulu1
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I graduated with a Bachelors in Electrical Engineering, a Master's in Computer Science and have been working an engineer in Deep Learning/NLP for a while now. I want to study applied mathematics because I am running out of my depth while thinking about a few problems I'm really really interested.

I've studied courses in Math: probability, intro statistics, multivariate calculus, PDEs, matrices, numerical methods; I don't have exposure to proofs, at all.

I want to study applied math or physics; Physics because I see the modeling skills transferable to my current interests;

Does it sound like I've enough background, and get admitted?

What are some good programs that encourage non traditional backgrounds?

What would be a good litmus test for it?

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