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Further Mathematics
A Level

Prove that sum(k) from 0 to n is n(n+1)/2, by induction

Proof by induction involves making an assumption, and using that assumption to prove that the consecutive case follows the pattern. 

The key to this is realising that most questions follo...

NR
7853 Views

What is a complex number?

A complex number is a number that consists of two parts, a real part, like any number you have been dealing with since you started learning maths, and an imaginary number, often tagged along with a i or a...

PB
3657 Views

How does proof by mathematical induction work?

Mathematical induction is a way of proving statements in maths. The principle is quite similar to dominoes (not pizza, the game) - if you push the first one, the second one will be pushed over, pushing th...

SC
6662 Views

What modules have you done before?

C1, C2, C3, C4

D1

FP1, FP2, FP3

M1, M2

S1, S2

ZK
3879 Views

Define tanh(t) in terms of exponentials

Whenever you have a define by exponentials question start with:

sinh(t)=0.5(et-e-t)      and    cosh(t)=0.5(et+e-t)

We know tanh(...

NS
3128 Views

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