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1. For applied math, how strongly do "core" courses like analysis and abstract algebra weigh against say probability or even "elective" courses like number theory?

2. I'm double majoring right now with a 3.1 gpa overall. If my gpa in mathematics is 3.5, would a 3.1 gpa hurt me in admissions or are schools more interested in gpa in the subject you're applying for?

3. With a 3.5 gpa, what the odds of mid-high tier schools? Say UC Davis and up.

4. How important is the math subject GRE vs. your gpa and letters of recommendation?

Thanks for the time.