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I have to make a talk about mathematics for first and second year undergraduate students of maths. If someone could help me with a topic or an idea, it would be helpful.

Preferably it is something motivational or curious that need analysis or basic things of algebra. For example, I found the problem of monkeys and Shakespeare novels. Things like that, I'm looking for.

Thanks for reading and for your help

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    $\begingroup$ Why not talk about a topic that has motivated you? $\endgroup$ – Blue Sep 7 '19 at 22:52
  • $\begingroup$ why not talk about research?, as a math student, that is what fascinates me the most $\endgroup$ – Donlans Donlans Sep 7 '19 at 23:05
  • $\begingroup$ How about taking the $i$th derivative of something using fractional calculus: math.stackexchange.com/q/705230/104041 ? Here $i^2=-1$. $\endgroup$ – Shaun Sep 7 '19 at 23:15
  • $\begingroup$ Shakespeare wrote plays and sonnets, not novels. As for monkeys ... $\endgroup$ – Henry Sep 8 '19 at 0:17
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I am a fourth year math student. If I go back and could give myself an advice that will motivate me the most will be: those stuff that you learn in first and second year, pause, will REAPPEAR in your third and fourth year - in a waaaaaaaay more confusing form of mutation. If you don't make yourself familiar with those topics at heart right now, you will dread your future studies. Like me, I still dread whenever Taylor series comes up in my textbook and it comes out A LOT. Make sure that you have the basics drilled into your brain so that you can continue learning.

Like Taylor series, calculus and algebra, in first and second year, just merely looks like a bag of dry, meaningless tricks that you are tested on. However, they are our ancestors' wisdom to solve problems that is not straightforward, if not impossible to solve. They can make impossible possible.

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