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?