Introduction to Complex Numbers
Numbers that extend the real number system to include square roots of negative numbers.
The Imaginary Unit
Defined as $i = \sqrt{-1}$, so $i^2 = -1$.
Complex Numbers
A complex number has the form $z = a + bi$, where $a$ is the real part and $b$ is the imaginary part.
Modulus and Argument
The modulus of $z = a+bi$ is $|z| = \sqrt{a^2+b^2}$, representing its distance from the origin on the complex plane.
Lesson 8 of 27