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# A Summer of Maths (ASoM) 2016

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1. Hmm. I'm way too nervous about results day to start preparing for uni maths haha.
2. This sounds interesting. I'm doing A levels next year but I think it will be fun to learn some of this stuff.
3. (Original post by 16Characters....)
Hmm. I'm way too nervous about results day to start preparing for uni maths haha.
Agreed!! I'm much the same, bit hypocritical since I made the thread, but it's more for the benefit of the others who are fairly sure they have 1's and S's whilst I'm too nervous about my 2 to do anything properly.
4. (Original post by Kryptonian)
This sounds interesting. I'm doing A levels next year but I think it will be fun to learn some of this stuff.
You're welcome to do so, but if you're doing A-Levels next year, then this thread might be a bit out of your reach, since it deals with first year uni work.
5. (Original post by Zacken)
You're welcome to do so, but if you're doing A-Levels next year, then this thread might be a bit out of your reach, since it deals with first year uni work.
Unless he is jim leck.

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6. (Original post by physicsmaths)
Im gna let it sit at my desk and not use it so I know how you feel.

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"Consider the equation . The coefficient of is the sum of all roots." is that Vieta's formula?

Also, if and where , then why is when trying to show that ?
7. (Original post by physicsmaths)
Unless he is jim leck.

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Or physicsmaths... after his two gap years.
8. (Original post by Insight314)
"Consider the equation . The coefficient of is the sum of all roots." is that Vieta's formula?
Yes (ish). Think about expanding the polynomial . The coefficient of is the ( of) the sum of the roots.

Also, if and where , then why is when trying to show that ?
Roots of unity, so but then it follows that the latter bracket must be 0 for then geometric series, i.e: sum of the first terms with first term and common ratio .
9. (Original post by Insight314)
"Consider the equation . The coefficient of is the sum of all roots." is that Vieta's formula?

Also, if and where , then why is when trying to show that ?
Geometric sum of the right bracket since one is zero.
Well yeh its application of vietas formula yeh. The wiki page covers it rather well for general terms.

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10. (Original post by Insight314)
"Consider the equation . The coefficient of is the sum of all roots." is that Vieta's formula?

Also, if and where , then why is when trying to show that ?
by definition, since we is an nth root of unity.
11. (Original post by JackHKeynes)
... by definition, since we is an nth root of unity.
You'll want to use [/latex] and not [\latex].

(it's not by definition, it's because is a th root of unity).
12. (Original post by Zacken)
x
This looks amazing, such a shame I don't have the brain for advanced maths haha. Can you recommend me any resources over the summer to bridge the gap from GCSE to A-level maths? It's been 5 years since I've done maths GCSE and I acheived a B grade. I'm looking at starting an A-level in maths this september coming if my university back up plan does not work out.
13. (Original post by Zacken)
Agreed!! I'm much the same, bit hypocritical since I made the thread, but it's more for the benefit of the others who are fairly sure they have 1's and S's whilst I'm too nervous about my 2 to do anything properly.
I'm sure you'll be fine :-)

I think I might teach myself the rest of M3 and 4. There is no M5 with MEI but they used to go up to M6 so that might be the extention :-)
14. (Original post by 16Characters....)
I'm sure you'll be fine :-)

I think I might teach myself the rest of M3 and 4. There is no M5 with MEI but they used to go up to M6 so that might be the extention :-)
I've heard some very interesting things about those mechanics modules, stuff like intrinsic co-ordinates and the likes. I think I saw a few resources on the really old A-Level spec with all those things, if I ever track them down again I'll let you know. :-)
15. Right, thanks guys. I don't know why I was this silly not to see the initial point of the argument i.e that it is roots of unity so it must be zero haha.

Btw, check out what I just printed out.

Anyone have an idea how I can staple the whole thing though? It's 35 double-sided pages lol.

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16. (Original post by Zacken)
I've heard some very interesting things about those mechanics modules, stuff like intrinsic co-ordinates and the likes. I think I saw a few resources on the really old A-Level spec with all those things, if I ever track them down again I'll let you know. :-)
Tee Em once posted a good intrinsic co-ordinates question, and in the same thread people linked the old Edexcel M6 stuff
17. (Original post by Insight314)
Anyone have an idea how I can staple the whole thing though? It's 35 double-sided pages lol.

Get it binded.
18. (Original post by Insight314)
Right, thanks guys. I don't know why I was this silly not to see the initial point of the argument i.e that it is roots of unity so it must be zero haha.

Btw, check out what I just printed out.

Anyone have an idea how I can staple the whole thing though? It's 35 double-sided pages lol.

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Use a binder clip. Much neater and easier to take out individual notes so things don't get messy

(Original post by Zacken)
Get it binded.
Or that
This looks amazing, such a shame I don't have the brain for advanced maths haha. Can you recommend me any resources over the summer to bridge the gap from GCSE to A-level maths? It's been 5 years since I've done maths GCSE and I acheived a B grade. I'm looking at starting an A-level in maths this september coming if my university back up plan does not work out.
Thanks for quoting the whole thing.

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20. (Original post by Zacken)
Get it binded.
You mean spiral binding? How do I even do that lol?

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