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

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TopNewestGeometry!(I'm very weak in this topic)

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umm, induction?

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chemistry

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I think: Chebyshev, holder and caushy schwartz are really needed

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Well graph theory would be quite useful, if u could post something related to it which can also come in IMO.

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Relevance of conic sections sounds interesting, like you mentioned. Also, the Method of Proof by Infinite Descent would be cool.

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Sir I would like a blog post on Cauchy Schwartz inequality.

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Would like to get calculus in future posts and challenges.

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