Complex Numbers

Skill Type Description Source
10.1 Complex Arithmetic Workbook Combine complex numbers together + find the modulus and conjugate of a complex number + obtain complex solutions to polynomial equations HELM
Multiplication and Division in Polar Form Worksheet This leaflet explains how complex numbers in polar form can be multiplied and divided. In polar form, these operations are particularly simple to carry out MathsCentre
What is a Complex Number? Worksheet This leaflet gives a simple, brief introduction to the concept of a complex number MathsCentre
10.2 Argand Diagrams and the Polar Form Workbook Represent complex numbers on an Argand diagram + obtain the polar form of a complex number + multiply and divide complex numbers in polar form HELM
Complex Arithmetic Worksheet This leaflet explains how complex numbers can added, subtracted, multiplied and divided MathsCentre
10.3 The Exponential Form of a Complex Number Workbook Explain the relations between the exponential function ex and the trigonometric functions cos x, sin x + interchange between Cartesian, polar and exponential forms of a complex number + explain the relation between hyperbolic and trigonometric functions HELM
The Argand Diagram Worksheet This leaflet explains how an Argand diagram is used to provide a pictorial representation of a complex number MathsCentre
The Exponential Form Worksheet Complex numbers can be written in exponential form. This leaflet explains how this is done MathsCentre
10.4 De Moivre�s Theorem Workbook Employ De Moivre�s theorem in a number of applications + fully define the argument arg(z) of a complex number + obtain complex roots of complex numbers HELM

Enquiries, feedback and comments to: mash@sheffield.ac.uk