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Flashcards in FP1 Deck (15):
1

z*

a-bi

2

zz*

square modulus of z

3

arg(z)

angle complex number makes to positive real axis measured anticlockwise

4

If |z| = r && arg(z)=θ

z= r(cosθ + isinθ ) #polar or modulus-argument

5

Linear Interpolation

c = af(b) - bf(a)
f(b) - f(a)

6

Newton-Raphson

xr+1 = xr - f(xr)
f'(xr)

7

y2=4ax

x=at2, y=2at

8

Equation of parabola tangent at (h,k)

ky = 2a(x+h)

9

Equation of parabola tangent at (at2, 2at)
(and normal)

ty = x + at2
normal has the equation y + tx = 2at + at3

10

Rectangular hyperbola

e = √2

11

Intrinsic co-ordinates

dy/dx= tanψ, dx/ds =cosψ, dy/ds=sinψ

12

Radius of curvature at ρ at P(x, y)

ds/dψ

13

Sum to r

n(n+1)/2

14

Sum to r2

n(n+1)(2n+1)/6

15

Sum to r3

n2(n+1)2/4