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# What's the most interesting thing you have learned this year in maths?

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1. definitely dimensional analysis too! such a powerful tool
2. (Original post by Aph)
Eigenvalues and eigenvectors are probably my favourite thing about this year. Although stuff like defining was also pretty interesting. Even if my exam board does use j and not i
what exam board is this?
3. (Original post by Imperion)
what exam board is this?
OCR MEI
4. (Original post by Imperion)
what exam board is this?
Probs OCR MEI, they do this and I dunno anyone else who does
edit: ninja'd, I didn't expect them to reply so fast lol
5. (Original post by physicsmaths)
Haha the struggle is real.
I always do 8x8 then take away 8.
I know, me is proper smart.
You've made me realise I can't quite do 8x8 either.

Great.
6. So it's not exactly interesting, more a joke a Maths teacher told me once.

sin x
n = 6

It's so bad it's good xD took me a while at first hehe
So it's not exactly interesting, more a joke a Maths teacher told me once.

sin x
n = 6

It's so bad it's good xD took me a while at first hehe

I presume you mean
8. (Original post by Pentaquark)
definitely dimensional analysis too! such a powerful tool
https://what-if.xkcd.com/11/
9. (Original post by 13 1 20 8 42)

I presume you mean
Haha yes, but I'm not very skilled when it comes to typing xD
10. M2 was pretty good because its when physics actually started to make sense lol
11. integration using a trigonometric substitution and everything complex numbers related
12. Tbf, drawing massive circles in Gel pens was a really enjoyable experience this year, only part of mechanics I liked

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13. (Original post by HelpusPleasus)
Calculating the Age of the Universe from Hubble's Constant.
wait wait wait wait wait. you do that in maths, but that's so scientific, how dare mathematicians cross the line of scientific knowledge.
14. (Original post by PHD2027)
wait wait wait wait wait. you do that in maths, but that's so scientific, how dare mathematicians cross the line of scientific knowledge.
How else would you find the age, Conduct an experiment? Science merely feeds from the scraps of Maths plate

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15. Operator methods for solving differential equations - simple yet so elegant - avoids having to assume solutions for 2nd order.
16. (Original post by drandy76)
How else would you find the age, Conduct an experiment? Science merely feeds from the scraps of Maths plate

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Yeah, no. It's still based on observation, you just use maths to reach a conclusion. Science explains and uses maths but it isn't being "fed from the scraps of maths"

(Original post by PHD2027)
wait wait wait wait wait. you do that in maths, but that's so scientific, how dare mathematicians cross the line of scientific knowledge.
No I didn't, I don't do maths- we did that in Physics. I took the thread title as topic area instead of subject (perfectly valid), So that was the most interesting maths I did in Physics and hence most interesting thing in maths.
17. (Original post by HelpusPleasus)
No I didn't, I don't do maths- we did that in Physics. I took the thread title as topic area instead of subject (perfectly valid), So that was the most interesting maths I did in Physics and hecne most interesting thing in maths.
that explains a lot
18. Possibly complex integration - particularly using complex integrals to solve difficult real integrals, using the residue theorem, etc.
19. I just learnt Sylow's theorem part 1 (wish me luck for parts 2 & 3). That is a really nice piece of mathematics. It took me ages as well cause I had to learn group actions and orbit-stabiliser theorem before I could see how the proof worked.

You are shown a set of four cards placed on a table, each of which has a number on one side and a colored patch on the other side. The visible faces of the cards show 3, 8, red and brown. Which card(s) must you turn over in order to test the truth of the proposition that if a card shows an even number on one face, then its opposite face is red?

I initially thought the answer was obvious but it turned out my initial intuitive reasoning was flawed .
Spoiler:
Show
The correct response is to turn over the 8 and the brown card.
Explanation
• If the 3 card is red (or brown), that doesn't violate the rule. The rule makes no claims about odd numbers.
• If the 8 card is brown, it violates the rule.
• If the red card is odd (or even), that doesn't violate the rule. The red color is not exclusive to even numbers.
• If the brown card is even, it violates the rule.

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Updated: July 14, 2016
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