Honours Maths Proofs

Paddi Jones

This has probably been asked before, but I'm kinda rushed. What are the most likely proofs for honours maths Paper 1 & 2. Please, please, list what whatever is most likely as I have still to learn any.

Bigrob

I did a day course in the institute and we were told that the factor theorem is expected along with the perpendicular distance theorem. For proofs thats all I know because theres not set pattern with them eac year.
For trig identities look over Cos(A-B) beacause thats the only one of the 13 that hasnt come up yet.

Reillyman

This is just off-hand, not a definitive list.


Paper 1

• Factor Theorem
• Quoitent/Product/Sum/Differential rule
• [LATEX] x^2 , x^3, e^x, x^-1, x^-2, lnx, ln(x+1)[/LATEX] from 1st principles
• Volume of a cone/sphere/cylinder from integrals
• Volume of a curve around an axis from integrals
• De Moivres Theorem
• Proof by inductions

Paper 2

• Tangent to a circle [LATEX] xx1+yy1=r^2[/LATEX]
• Distance from point to a line
• [LATEX] x^2+y^2=r^2[/LATEX]
• Line is mapped to a line under [Latex] f(x)=(x',y')[/Latex]
• Parrallel lines are mapped to parallel lines
• All the trig identities
• Cos rule, Sin Rule
• Angle between 2 lines
• All the MacLaurin series & General Terms
• Integration by parts

Theres a few more though, but that should cover ya

Scoobydooo

When your doing the first principles derivations is it ok to do them like this ?

See 6b(i) http://studentxpress.ie/papers/diffsoln07.pdf

Reillyman

Scoobydooo wrote: »

When your doing the first principles derivations is it ok to do them like this ?

See 6b(i) http://studentxpress.ie/papers/diffsoln07.pdf

Yeah I reckon that's perfectly acceptable, it just makes no sense whatsoever to me. The [latex]f(x+h) - f(x)[/latex] method is easier for me as its the exact same process, more or less, for any derivative, but whatever works for you do it.

eoins23456

yeah its perfectly acceptable

Healium

Feck. Forgot ALL about these