This could range from
understanding why some theorems are true (like the Fundamental Theorem of Algebra),
applications of topics you learnt in high school (like what is the relevance of conic sections apart from memorization),
advanced topics that you are interested in (Maclaurin's series, Non-Euclidean Geometry, Field Theory)
Interesting strange theorems (Banach-Tarski paradox, Hairy Ball Theorem, Jordan Curve Theorem)
Any suggestions of topics will be taken into consideration.
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Comments
Geometry!(I'm very weak in this topic)
umm, induction?
Sir I would like a blog post on Cauchy Schwartz inequality.
Relevance of conic sections sounds interesting, like you mentioned. Also, the Method of Proof by Infinite Descent would be cool.
Well graph theory would be quite useful, if u could post something related to it which can also come in IMO.
I think: Chebyshev, holder and caushy schwartz are really needed
chemistry
Would like to get calculus in future posts and challenges.