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I am an undergraduate mathematics student in my third year. Most undergrad programs don't completely prepare you for grad school. I know Ph.D. students are telling me that there is a lot of crucial material that got left out. Here are the subjects I have or plan to study:

Calc sequence and Analysis 1 & 2

Abstract Algebra

ODEs

Topology

Linear alg.

Number theory

Combinatorics

Mathematical logic

Calculus on Manifolds

Set theory (I will study separate from M. Logic)

I want to be ready for grad school simply because I struggle with depression and it will take a lot of load off if I can prepare somewhat ahead of time. Which other courses or texts would you recommend to have a solid foundation for grad school? Is learning Mathematica or similar languages a considerable advantage also in grad school?

I would ask faculty but they are always busy and there are two advisors really one of which doesn't have a background in math and the second is a bit of a curmudgeon in the department. Thanks if you can help.

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closed as off-topic by Kyle, colormegone, user223391, user91500, M. Vinay Jul 7 '16 at 8:46

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – Kyle, colormegone, Community, user91500, M. Vinay
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