Week 4 Flashcards
1
Q
Argand diagram
A
plot representing imaginary and real components of numbers
2
Q
Principal argument of z
A
arg(z) the solution in polar form of a complex number where theta is between pi and -pi
3
Q
Argument
A
the angle theta from x axis in counterclockwise direction (clockwise if negative)
4
Q
Modulus
A
distance from point P on argand diagram to 0
5
Q
De moivre’s theorem
A
z1z2 = r1r2(cos(theta1+theta2) + isin(theta1+theta2) also applies to z^2
6
Q
what can de moivres be used for?
A
quick calculation of powers of z (including roots and negatives)
7
Q
root of unity
A
a number that satisfies the equation z^3 =1
8
Q
quotient rule
A
low d(high) - high d(low) / (low)^2
9
Q
d/dx (b^x ) =
A
b^x ln b,
10
Q
d/dx (log_b x)
A
1/blnx
11
Q
d/Dx(lnx)
A
1/x
