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STEP Support Programme

STEP 3 Complex Numbers *Updated*

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. You can also ask for support, help and hints on the STEP Support discussion forum.

About this assignment

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 ${\rm e}^{i \pi}+1=0$.