Would like to learn some new maths

Try to learn euclidean geometry, i read few of the alevel maths pass papers and i found out some questions rely on euclidean geometry, that may secure an A* for you.

Reply 2

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Original post by Mathsandphysftw

I have just started year 12 and am doing maths, further maths, chemistry and physics. I'm finding it easy and am trying to find a new topic to learn as C1 is boring.I would also rather this topic not be on the a level syllabus as if i already know it when we come to learn it as a class i shall be bored again. so if anyone has got any ideas about what to learn they'd be most appreciated

Perhaps learn some basic Number Theory? There is pretty much none on the A Level syllabus. NRICH have an "An introduction to Number Theory" article here:
https://nrich.maths.org/4352

Reply 3

MattyJMP

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Original post by jsMath

Try to learn euclidean geometry, i read few of the alevel maths pass papers and i found out some questions rely on euclidean geometry, that may secure an A* for you.

Do you mean non-Euclidean? Euclidean is just, well, geometry... Geometries of surfaces on a sphere are pretty interesting though :wink:

Reply 4

Original post by MattyJMP

Do you mean non-Euclidean? Euclidean is just, well, geometry... Geometries of surfaces on a sphere are pretty interesting though :wink:

True that is a good idea, but i was telling him to read topics related and hidden in his alevel tests, in order not to confuse himself.

Reply 5

OP

That article on number theory seems very interesting, i shall definitely look into that.Non- Euclidean geometry is very interesting to say the least. But isn't that covered in fp2/3 when using hyperbolic trigonometric functions?

Reply 6

Luke Kostanjsek

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Original post by Mathsandphysftw

I have just started year 12 and am doing maths, further maths, chemistry and physics. I'm finding it easy and am trying to find a new topic to learn as C1 is boring.I would also rather this topic not be on the a level syllabus as if i already know it when we come to learn it as a class i shall be bored again. so if anyone has got any ideas about what to learn they'd be most appreciated

Don't know what syllabus you're on, so not sure whether this is covered in your further maths pure modules, but Group Theory is super super interesting and doesn't really require any prior knowledge beyond decent algebra. It'll be like no other maths you've ever done before. Also, google Banach-Tarski paradox if you want any more proof that group theory is awesome :tongue:

Reply 7

If interested read the following thread on MVC

http://www.thestudentroom.co.uk/showthread.php?p=58613761#post58613761

Reply 8

If you are interested in number theory follow this thread

http://www.thestudentroom.co.uk/showthread.php?p=59573941#post59573941

There are many interesting topics in Maths.

If you want to master many topics in maths then learn beside calculus, linear algebra

Reply 9

aamirac

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What about some STEP papers? I hear they can be a bit of a challenge that you can try.

Reply 10

OP

Wow that Banach-Tarski paradox seems very counter intuitive, it flies in the face of conventional geometric reasoning but i guess thats why they call it a paradox :wink:

it also seems, as you've said, fairly accessible without huge amounts of preparatory reading.

Reply 11

OP

Original post by aamirac

What about some STEP papers? I hear they can be a bit of a challenge that you can try.

I have done a few step questions before and they are challenging but most require knowledge from C3/4 and above so my selection of questions is very narrow

Reply 12

Luke Kostanjsek

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Original post by Mathsandphysftw

Wow that Banach-Tarski paradox seems very counter intuitive, it flies in the face of conventional geometric reasoning but i guess thats why they call it a paradox :wink:

it also seems, as you've said, fairly accessible without huge amounts of preparatory reading.

I know right, it's mad when you first see it. This website does a really good job of explaining it in layman's terms http://www.irregularwebcomic.net/2339.html

That's what first got me interested in group theory. And if you want an introduction to actual group theory, this is a great website http://dogschool.tripod.com/groups.html

Reply 13

username1459875

D2 is very interesting with the game theory and quite relevant maths.

Reply 14

OP