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Nov 17, 2020 at 23:01 history edited user3146 CC BY-SA 4.0
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Nov 17, 2020 at 22:19 comment added user3146 @JetChung YES! Terrance FTW. It's certainly not high production, and none of the topics he choose are more than a few handfuls of questions, but it has the most basic/important component demonstrated by the following (from Jet Chung's source above) "Let X and Y be statements. If we want to disprove the claim that "Both X and Y are true", we need to show that: A. X is false. This will indeed disprove "Both X and Y are true", but X does not need to be false in order to disprove the above statement." I clicked on A, and underneath is the feedback I received. I hope he keeps going with it.
Nov 17, 2020 at 22:01 comment added user3146 @MarkS. Thanks for the input. Again, I am by no means a stranger to proof-based classes (upper division and grad). This wouldn't need to involve a proof checker (though those do exist). Even if it involved only the computation problems from proof-based books (like integrating over a Dirac delta generalized function from functional analysis or how many Cayley diagrams are there of the quaternions), that would be a great tool. There are even upper division texts that are not proof-based (like "Visual Group Theory") that could have something to effect of what I'm talking about to accompany it.
Nov 13, 2020 at 18:14 comment added user596778 Terry Tao does have MC quizzes on some of the classes you're asking about: scherk.pbworks.com/w/page/14864181/FrontPage.
Nov 13, 2020 at 2:05 comment added Mark S. For most of those graduate level classes, most students would be at a level where they can more or less check their own proofs. And even if they need a teacher/tutor to check their proofs, certainly no automated system today is capable of it.
Nov 13, 2020 at 0:40 comment added user3146 @JetChung Thanks for the input! I am by no means new to upper division courses (as I have taken a bunch of grad level courses in math). I have found that I learn much more quickly this way. DataCamp was the first to get my to realize this with coding, statistics, machine learning, etc. I have also been taking classes that I never did formally, and these websites have have been so much better than the books at refreshing me on stuff that I haven't seen in years.
Nov 13, 2020 at 0:33 history edited user3146 CC BY-SA 4.0
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Nov 11, 2020 at 5:49 comment added user596778 Wrt the second question: imo, a defining characteristic of upper division courses is the shift away from repetition and multiple choice questions towards proofs and open ended questions. I think your best bet is to just sit down with a good textbook (maybe find a mentor or friends to help you).
Nov 11, 2020 at 5:42 answer added user848150 timeline score: 3
Oct 8, 2020 at 21:15 review Close votes
Oct 23, 2020 at 3:06
Oct 8, 2020 at 19:51 history asked user3146 CC BY-SA 4.0