Imaginary number i

Complex Numbers a+bi

The sets ℂ, ℝ and ℝ\ℂ

Product of complex numbers

The complex plane

Complex conjugates

Exercise

Properties of the complex conjugate

Fractions of complex numbers

Exercise

Solving complex equations

Exercise

Finding complex roots of quadratics

Exercise

Problem

Problem

Problem

Complex Modulus

Modulus on the complex plane

zz*=|z|²

Properties of complex modulus

Exercise

Problem

Problem

Complex Argument

Complex argument when a<0

Complex Argument when a=0 (purely imaginary)

Exercise

Polar form of complex numbers

Exercise

Euler's form

Multiplying in mod-arg form

Complex conjugate in polar form

Exercise

Problem

Powers of complex numbers

Exercise

Problem

Roots of complex numbers

Exercise

Problem