# STEP 3 Complex Numbers ### Introduction

This module introduces you to STEP 3 questions involving Complex Numbers.

Each STEP 3 module consists of 4 STEP questions, some topic notes and useful formulae, a "hints" sheet and a "solutions" booklet.

STEP questions are challenging, so don't worry if you get stuck. These STEP 3 modules assume that you have already begun to develop your problem-solving skills and approach to STEP questions by working on the Foundation modules and the STEP 2 modules.

Complex numbers are very geometrical in nature, appearing as they do on an "Argand plane". There are various different ways of representing complex numbers which are useful in different situations.

Probably the most important thing to remember about complex numbers is the identity ${\rm e}^{i \theta} \equiv \cos \theta + i \sin \theta$. Taking $\theta = \pi$ gives the famous result ${\rm e}^{i \pi}+1=0$.

Assignment PDF: STEP 3 Complex Numbers questions
Topic Notes: STEP 3 Complex Numbers topic notes
Hint: STEP 3 Complex Numbers hints
Solution: STEP 3 Complex Numbers solutions

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP