Visualising and Representing Complex Numbers

Visualising and Representing Complex Numbers

If you have never met complex numbers before, these problems offer a gentle introduction before challenging you to use different representations to visualise what happens when complex numbers are manipulated in different ways.

A Brief Introduction to Complex Numbers 

Age 14 to 18 Challenge Level:
In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

A Brief Introduction to the Argand Diagram 

Age 14 to 18 Challenge Level:
Complex numbers can be represented graphically using an Argand diagram. This problem explains more...

Complex Squares 

Age 16 to 18 Challenge Level:
What happens when we square complex numbers? Can the square of a complex number be real?