Complex Numbers: Lecture 1

Computation of complex numbers

• \[i^{2}=-1\]
• Real number is a subset of complex number.
• The representation of a complex number, z=x+yi is known as the cartesian form.
• Learn how to add, subtract and multiply two complex numbers
• Learn how to find the square root of a complex number.

Argand diagram

• We use the number line to represent real number, which is one dimensional. We use a plane to represent complex numbers, which has both real and imaginary part and hence two dimensional.
• Every complex number corresponds to a point on the plane and hence correspond to the position vector of that point.