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>. there’s so much hand holding through required coursework (and homework) that one can’t hardly think deeply about anything actually original. Take an actual graduate course in pu…

Any PreCalculus text -> Stewart Calculus -> Strang + Axler Linear Algebra -> a Calculus based Statistics & Probability book. Do the problems in the books. Read each chapter. If you…

In my experience, at my school testing is done to pass a professor's designed test cases. Usually you don't know the professor's test cases in advance.

A PhD is paid. Universities near me pay around $30,000+/yr.

Thanks for taking the time to clarify your points. Although, I still disagree on a few views. Even if OP is 30 there isn't an inherent reason college is too late either at the unde…

I don't really agree with this. 30 isn't that old. Also, some 30 year olds still look like they're in their early 20s, so you can't tell their age to begin with. OP, in a universit…

This is a bit of an overgeneralization. Are all computer science graduates software developers? Are professors with PhD degrees in CS not considered Computer Scientist? Your statem…

>Most other industries we like to compare ourselves to are leagues above ours in individual merit. I don't think that rings true to those with PhD degrees doing academic research i…

>So, unless you think they are lying, your point doesn't stand on limiting low-income students. You missed the point. Poor kids in general don't go to Math & Science high schools, …

Audit edx's Calculus sequence, taught by MIT. The courses are: Calculus 1A, 1B, 1C. You can watch MIT OCW's Linear Algebra course with Strang and/or enroll in: "Linear Algebra - Fo…

I'm mostly interested in "modern" mathematical logic then. I'm very interested in learning category theory and its connections to programming language theory. I already know a litt…

I'd like to see a list like this that included the field of mathematical logic. For whatever reason mathematical logic no longer seems to be a "popular" area of research, despite i…

You may be interested in Automated Theorem Proving: I quote the author Geoff Sutcliffe here: "Automated Theorem Proving (ATP) deals with the development of computer programs that s…

Read "Discrete Mathematics" by Epp. Probably the easiest Discrete Math intro I came across.

No problem.

This is just my opinion and I'm sure it differs from others... Roughgarden's class is advance and expects mathematical maturity. You may find his course quite fast and rough if you…

I don't like Sedgewick as much as CLRS. Sedgewick seems to assume knowledge in the physical sciences when explaining examples.

As a follow up to this resource I recommend, Algorithms unlocked: https://www.amazon.com/Algorithms-Unlocked-Press-Thomas-Corm... CLRS: https://www.amazon.com/Introduction-Algorith…