Further Maths

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Anonymous

Further Maths 2016-01-26 04:14:34 Post No. 7811149

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Further Maths 2016-01-26 04:14:34 Post No. 7811149

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Can anyone upload notes or textbooks for A-Level Further Maths? (PDF preferred)

Where I live textbooks for this particular subject are expensive af, and my school doesn't offer notes.

Pic related.

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>>7811149

∫1/(a^2+x^2)dx= 1/2a tan^-1(x/a)

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>>7811149

FP1:

Be familiar with inductive proof and matrices

FP2:

Be familiar with Taylor series expansions, usually with x0 = 0

FP3:

vectors, lines and planes in 3 dimensions.

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>>7811191

I have no material to go on with learning those though lol

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>>7811196

Further maths is fuckin easy bro, wtf.

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>>7811196

inductive proof:

prove basis case

assume k-th case

Find (k+1)-th case from k-th case

Since let k-th case = basis case

QED

Matrices:

Row multiplies columns

Taylor series:

approximate functions as (infinite) polynomials centred about a point x0. A special case is when x0 = 0. This can also be called a Maclaurin Series (dude was MLG, professor of Mathematics at Edinburgh at 19.)

Vectors in 3d space:

dot product:

u = ai + bj + ck

v = di +ej + fk

u.v = ad + be +cf

v is perpendicular to u if the dotproduct is zero.

cross product:

uxv = (bc - cb)i + (ca - ac)j + (ab - ba)k

Complex numbers & polar coordinates:

sqrt(-1) = i

a complex number is any number a + ib where a,b are real.

can be written in the form r(cos(x) + isin(x))

= rexp(ix) where r is the radius and x is the argument.

Hyperbolic functions:

literally trig functions with complex arguments.

The rest is bollocks.

By the time you hit uni this shit will be effortless.

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>>7811226

Some of this stuff I've learnt on my own - in Pure Mathematics 3 of normal Maths. Thanks tho.

Found Edexcel FP1 and FP2 textbooks using torrent sites btw, but not many seeders.

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