Edexcel A-level Further Mathematics Paper 2 (9FM0 02) - 5th June 2023 [Exam Chat]

Since core 1 can die, what are we doing for core 2?

Reply 4

Jac0515

3

So the major topics which didn’t come up in this paper were; second order differential equations, polar coordinates, series (method of differences), volumes of revolution and liner transformations which tend to appear in most papers.

Wouldn’t be surprised if some harder complex numbers and hyperbolics came up in paper 2 so this is where I’ll be focusing my revision. I’m not here to make predictions though!!

Reply 5

Zo3.

5

Original post by Jac0515

So the major topics which didn’t come up in this paper were; second order differential equations, polar coordinates, series (method of differences), volumes of revolution and liner transformations which tend to appear in most papers.

Wouldn’t be surprised if some harder complex numbers and hyperbolics came up in paper 2 so this is where I’ll be focusing my revision. I’m not here to make predictions though!!

I reckon hyperbolic's will come up, they love to add them in, there also wasn't any inverse trig really on paper one.
hoping that second order comes up, it could be a coupled first order though which goes onto a second

(edited 11 months ago)

Reply 6

Jac0515

3

Original post by Zo3.

I reckon hyperbolic's will come up, they love to add them in, there also wasn't any inverse trig really on paper one.
hoping that second order comes up, it could be a coupled first order though which goes onto a second

yes good points!!

Reply 7

jimmelton

Original post by Zo3.

I reckon hyperbolic's will come up, they love to add them in, there also wasn't any inverse trig really on paper one.
hoping that second order comes up, it could be a coupled first order though which goes onto a second

There was finding the derivative of arctan in the DE question in paper 1, but I do feel like there'll be more inverse trig in CP2. I also feel like there'll be some De Moivre's Theorem, hopefully not sums of series tho.

Reply 8

TypicalNerd

18

Original post by jimmelton

There was finding the derivative of arctan in the DE question in paper 1, but I do feel like there'll be more inverse trig in CP2. I also feel like there'll be some De Moivre's Theorem, hopefully not sums of series tho.

The sums of series questions are annoying.

I expect polar coordinates to come up - areas involving tangents kinda like on last year’s CP2 will probably show up. I also really hope we don’t have to sketch any of those goddamn polar curves.

Reply 9

DanielK1456

Topics not included on CP1 (Likely to be on CP2):
Volumes of Revolution, Linear Transformations, Yr2 Complex Numbers (i.e. Trig Identites, Sums of Series, Geometric Problems), Methods in Calculus (Improper Integrals and Inverse Trig), Polar Coordinates, Differential Equations (Second Order, Coupled, Harmonic Motion).

Might also be more vectors (angles and perpendicular distances weren't tested), another more difficult proof by induction, hyperbolics worth more marks than in Paper 1. There could be Maclaurin or Method of Differences, but these will be worth fewer marks as the series question on Paper 1 was already very difficult.

I would prioritise the polar coordinates, complex numbers and second order differential equations. I think they have the potential to be awful questions given the state of the first paper, and I'm not sure they'll be able to test everything here as it's only 75 marks. Good luck everyone!

(edited 11 months ago)

Reply 10

DanielK1456

Topics not included on CP1 (Likely to be on CP2):
Volumes of Revolution, Linear Transformations, Yr2 Complex Numbers (i.e. Trig Identites, Sums of Series, Geometric Problems), Methods in Calculus (Improper Integrals and Inverse Trig), Polar Coordinates, Differential Equations (Second Order, Coupled, Harmonic Motion).

Might also be more vectors (angles and perpendicular distances weren't tested), another more difficult proof by induction, hyperbolics worth more marks than in Paper 1.

I would prioritise the polar coordinates, complex numbers and second order differential equations. I think they have the potential to be awful questions having done Paper 1, and I'm not sure they'll be able to test everything here as it's only 75 marks. Good luck everyone!

Reply 11

I think 3rd order differential equations will come up

Reply 12

Na, nth order differential equations

Reply 13

Original post by ASCC2014

Na, nth order differential equations

At this point I would not be surprised. They could genuinely give us a 3rd order one and expect us to use our knowledge of 2nd order ones to figure it out. (The method is actually pretty similar too)

Reply 14

Original post by The tesseract

At this point I would not be surprised. They could genuinely give us a 3rd order one and expect us to use our knowledge of 2nd order ones to figure it out. (The method is actually pretty similar too)

I really hope they don't, but it might be worth a quick look at 3rd orders. Isn't there some funky thing you can do to make an equation like f''(x) = af'(x) + bf(x) which scales so would allow you to solve nth order homogenous differential equations? Not sure about non-homogenous ones though.

Reply 15

Original post by ASCC2014

I really hope they don't, but it might be worth a quick look at 3rd orders. Isn't there some funky thing you can do to make an equation like f''(x) = af'(x) + bf(x) which scales so would allow you to solve nth order homogenous differential equations? Not sure about non-homogenous ones though.

No chance in hell. But 3rd order ODE also have auxiliary equations. E.g. if you have f'''(x)+6f''(x)-20f'(x)+30x=0 the general solution would be f(x)=Ae^(-8.7x)+e^(1.35x)(Bsin(1.28x)+Ccos(1.28x)). I have rounded the roots and don't count on this being right, but I think it is

Reply 16

TypicalNerd

18

Original post by ASCC2014

I really hope they don't, but it might be worth a quick look at 3rd orders. Isn't there some funky thing you can do to make an equation like f''(x) = af'(x) + bf(x) which scales so would allow you to solve nth order homogenous differential equations? Not sure about non-homogenous ones though.

If sufficient boundary conditions were given for a non-homogeneous third order DE, I’d probably just find an approximate Taylor series solution as far as the third or fourth non zero term tbh.

And if given a homogeneous third order DE, I’d probably attempt to do it from first principles with a substitution like y = e^ax

Reply 17

Original post by The tesseract

No chance in hell. But 3rd order ODE also have auxiliary equations. E.g. if you have f'''(x)+6f''(x)-20f'(x)+30x=0 the general solution would be f(x)=Ae^(-8.7x)+e^(1.35x)(Bsin(1.28x)+Ccos(1.28x)). I have rounded the roots and don't count on this being right, but I think it is

Thanks

Original post by TypicalNerd

If sufficient boundary conditions were given for a non-homogeneous third order DE, I’d probably just find an approximate Taylor series solution as far as the third or fourth non zero term tbh.

And if given a homogeneous third order DE, I’d probably attempt to do it from first principles with a substitution like y = e^ax

That's a very sensible way of going about it that I hadn't thought of. Might be the sort of thing they'd be expecting if they asked us to do 3rd orders although The tesseract's method is very close to second order so could be what they want.

Any ideas on where to get challenge questions, most of the past paper questions seem easier than the paper 1 we did?

Reply 18

mskr710

12

Year 12 student here, why was core 1 really hard?

Reply 19