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Extra Pure/FPT Materials

Hi,

I'm going to be self teaching Extra Pure and FPT over summer (OCR MEI Further Maths), I've been looking for materials to do this, however I can't find any that fit the spec well enough

Any reccomendations?

Reply 1

Try this: https://amsp.org.uk/resource/4b42a0ae-0857-49c3-5f88-08dabcb692fe/

OCR MEI is one of the less popular boards for FM and so it has a distinct lack of resources available. This and PMT are probably the best you will find.

Reply 2

Original post by UtterlyUseless69
Try this: https://amsp.org.uk/resource/4b42a0ae-0857-49c3-5f88-08dabcb692fe/
OCR MEI is one of the less popular boards for FM and so it has a distinct lack of resources available. This and PMT are probably the best you will find.

does it have anything on extra pure? it seems like everything but it is on there

Reply 3

Original post by illegallylexi
does it have anything on extra pure? it seems like everything but it is on there

Probably because extra pure is a very unpopular option. I shall have a further look

Reply 4

As promised, looked around and given it some thought. As there were no dedicated resources, I had to compare specifications.

Extra pure covers recurrence relations, groups, matrices and multivariable calculus.

OCR A has a module called “additional pure”, which covers a lot of the material in extra pure plus other topics - it only appears to miss the matrices part of extra pure.

As such, you should be able to use OCR A materials to teach yourself the recurrence relations, groups and multivariable calculus (Surfaces and Partial differentiation). You can either ignore the number theory and further vectors topics or give them a look if you think they’d be helpful.

This has a nice explanation of groups at the end - everything else seems to mostly be material you will have covered in the core pure: https://www.mathshelper.co.uk/alevel_docs/OCR%20Further%20Additional%20Pure%20Revision%20Sheet.pdf

This should also be quite insightful: https://pmt.physicsandmathstutor.com/download/Maths/A-level/Further/Additional-Pure/OCR-A/Additional%20Pure%20A-level%20Formula%20Sheet.pdf

As for matrices, I believe you only need to be aware of eigenvectors/eigenvalues (and their applications to transformations), diagonalisation and Cayley-Hamilton theorem. Eigenvectors/eigenvalues and diagonalisation are on the AQA syllabus and so use of AQA resources may be a sensible place to start. https://pmt.physicsandmathstutor.com/download/Maths/A-level/Further/Core-Pure/AQA/Cheat-Sheets/Matrices%20IV.pdf

The applications of eigenvectors and eigenvalues and C-H theorem seem to be the only things exclusive to OCR B extra pure. I reckon you’ll need to just look up what the heck these things are and hope you can find an accessible explanation that doesn’t give these topics a gratuitously advanced treatment

Correction: Edexcel FP2 is even better for matrices and covers C-H theorem: https://pmt.physicsandmathstutor.com/download/Maths/A-level/Further/Additional-Pure/Edexcel/FP2/Cheat-Sheets/Ch.5%20Matrix%20Algebra.pdf
(edited 11 months ago)

Reply 5

Original post by UtterlyUseless69
As promised, looked around and given it some thought. As there were no dedicated resources, I had to compare specifications.
Extra pure covers recurrence relations, groups, matrices and multivariable calculus.
OCR A has a module called “additional pure”, which covers a lot of the material in extra pure plus other topics - it only appears to miss the matrices part of extra pure.
As such, you should be able to use OCR A materials to teach yourself the recurrence relations, groups and multivariable calculus (Surfaces and Partial differentiation). You can either ignore the number theory and further vectors topics or give them a look if you think they’d be helpful.
This has a nice explanation of groups at the end - everything else seems to mostly be material you will have covered in the core pure: https://www.mathshelper.co.uk/alevel_docs/OCR%20Further%20Additional%20Pure%20Revision%20Sheet.pdf
This should also be quite insightful: https://pmt.physicsandmathstutor.com/download/Maths/A-level/Further/Additional-Pure/OCR-A/Additional%20Pure%20A-level%20Formula%20Sheet.pdf
As for matrices, I believe you only need to be aware of eigenvectors/eigenvalues (and their applications to transformations), diagonalisation and Cayley-Hamilton theorem. Eigenvectors/eigenvalues and diagonalisation are on the AQA syllabus and so use of AQA resources may be a sensible place to start. https://pmt.physicsandmathstutor.com/download/Maths/A-level/Further/Core-Pure/AQA/Cheat-Sheets/Matrices%20IV.pdf
The applications of eigenvectors and eigenvalues and C-H theorem seem to be the only things exclusive to OCR B extra pure. I reckon you’ll need to just look up what the heck these things are and hope you can find an accessible explanation that doesn’t give these topics a gratuitously advanced treatment
Correction: Edexcel FP2 is even better for matrices and covers C-H theorem: https://pmt.physicsandmathstutor.com/download/Maths/A-level/Further/Additional-Pure/Edexcel/FP2/Cheat-Sheets/Ch.5%20Matrix%20Algebra.pdf

oh my god! thank you! i’ve found some videos on matrices as well, and they seem to fit the spec even though they’re initially for edexcel

thank you so much! i really appreciate it!

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