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Which math is not on YouTube?

15 Answers

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More topics on formal set theory would be appreciated. When I took that class last semester, one of the hardest parts was finding resources (there are some textbooks/YouTube videos on the subject but I couldn’t find one on all the topics we covered).
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What math are you competent to teach?
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Great comments below.  Please allow me a general one.  If you are going forward with making videos, regardless of the topic, I humbly ask you to consider:

* Speak in a natural but slightly slower voice.  Allow your audience to hear you clearly.  This may take some practice but present in a way that makes listening to you great.
* Similarly, choose your video style carefully for what you want to share.  Not all of us can create a language to make our own videos such as 3blue1brown but work towards a consistent style. .
   * Will you be in the video or just speaking?
   * Will you be writing on a whiteboard or drawing on screen through a tablet?
   * There are a lot of good styles and content but be consistent please.  People will get to know and recognize your videos some.  For example, I think we can all recognize the Organic Chemistry Tutor from just a screenshot.
* My personal preferences
   * Keep your writing extremely neat.  The handwritten approach is relatable but make sure its super clear.
   * Try to avoid assuming much knowledge when a topic is complicated.  Obviously, this is subject to some common sense.  If you are teaching topology, its probably okay to assume calculus.  But please don't assume that everybody read Munkres cover to cover or knows the same textbook(s) that you used.
* One consideration may be if you want to teach through a certain text.
* Selfishly, if you wanted to do a lecture on Mathematical Logic using Enderton, I know one person who might watch them all during their own review of the topic. Just a rumor.

Hope this provide some food for thought.

Best,

Totoro
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Proofs. Proofs is one area that have very little content out there. Especially interesting and wonder generating  content. :)
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It would be great if you can make playlists or long videos of exercises  topics like multivariable calculus, differential geometry or topology
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Numerical analysis and numerical methods
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It probably won't be unique. Maybe people will gravitate to you because of your teaching style. If you pick some obscure math your audience might be small.
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Advanced Calcus -> theory of remain integration axioms of the real number system, point set theory of R1 and the like
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Stochastic analysis ( that's to calculus of variations as stochastic differential equations are to differential equations)
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What about introduction to analysis?

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