# Complex Numbers resources

### 3GP Mobile Phone (10)

Adding and Subtracting Complex Numbers

This mobile phone video explains how complex numbers can be added or subtracted. There is an accompanying leaflet. Sigma resource Unit 4.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Division of complex numbers

This mobile phone video explains how to divide complex numbers. Sigma resource Unit 7.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Imaginary numbers and quadratic equations

This mobile phone video shows how the imaginary number i can be used in the solution of some quadratic equations. Sigma resource Unit 2.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Motivating the study of complex numbers

This mobile phone download introduces complex numbers by explaining how it is useful to be able to formally write down the square root of a negative number. Sigma resource Unit 1.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Multiplying complex numbers

This mobile phone video explains how complex numbers can be multiplied together. There is an accompanying leaflet. Sigma resource Unit 5.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The Argand Diagram

This mobile phone video explains how complex numbers can be represented pictorially using an Argand Diagram. Sigma resource Unit 8.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The complex conjugate

This mobile phone video explains what is meant by the complex conjugate of a complex number. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The modulus and argument of a complex number

This mobile phone video explains how to calculate the modulus and argument of a complex number. Sigma resource Unit 9.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The polar form of a complex number

This mobile phone video explains what is meant by the polar form of a complex number. Sigma resource Unit 10.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

What is a complex number

This mobile phone video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

### Quick Reference (10)

Adding and Subtracting Complex Numbers

This leaflet explains how complex numbers can be added or subtracted.
There are accompanying videos. Sigma resource Unit 4.

Division of complex numbers

This leaflet explains how to divide complex numbers. Sigma resource Unit 7.
There are accompanying videos.

Imaginary numbers and quadratic equations

This leaflet shows how the imaginary number i can be used in the solution of some quadratic equations. Sigma resource Unit 2.

Motivating the study of complex numbers

This unit introduces complex numbers by explaining how it is useful to be able to formally write down the square root of a negative number. Sigma resource Unit 1.

Multiplying complex numbers

This leaflet explains how complex numbers can be multiplied together.
There are accompanying videos. Sigma resource Unit 5.

The Argand Diagram

This leaflet explains how complex numbers can be represented pictorially using an Argand Diagram.
There are accompanying videos. Sigma resource Unit 8.

The complex conjugate

This leaflet explains what is meant by the complex conjugate of a complex number.
There are accompanying videos. Sigma resource Unit 6.

The modulus and argument of a complex number

This leaflet explains how to calculate the modulus and argument of a complex number.
There are accompanying videos. Sigma resource Unit 9.

The polar form of a complex number

This leaflet explains what is meant by the polar form of a complex number.
There are accompanying videos. Sigma resource Unit 10.

What is a complex number

This leaflet explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.

### Test Yourself (1)

Maths EG

Computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University.

### Video (10)

Adding and Subtracting Complex Numbers

This video explains how complex numbers can be added or subtracted.
There is an accompanying leaflet. Sigma resource Unit 4.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Division of complex numbers

This video explains how to divide complex numbers. Sigma resource Unit 7.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Imaginary numbers and quadratic equations

This video shows how the imaginary number i can be used in the solution of some quadratic equations. Sigma resource Unit 2.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Motivating the study of complex numbers

This video introduces complex numbers by explaining how it is useful to be able to formally write down the square root of a negative number. Sigma resource Unit 1.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Multiplying complex numbers

This video explains how complex numbers can be multiplied together.
There is an accompanying leaflet. Sigma resource Unit 5.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The Argand Diagram

This video explains how complex numbers can be represented pictorially using an Argand Diagram. Sigma resource Unit 8.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The complex conjugate

This video explains what is meant by the complex conjugate of a complex number.
There is an accompanying leaflet. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The modulus and argument of a complex number

This video explains how to calculate the modulus and argument of a complex number. Sigma resource Unit 9.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The polar form of a complex number

This video explains what is meant by the polar form of a complex number. Sigma resource Unit 10.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

What is a complex number

This video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

### Video with captions which require edits (7)

Adding and Subtracting Complex Numbers

This video explains how complex numbers can be added or subtracted.
There is an accompanying leaflet. Sigma resource Unit 4.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Division of complex numbers

This video explains how to divide complex numbers. Sigma resource Unit 7.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Imaginary numbers and quadratic equations

This video shows how the imaginary number i can be used in the solution of some quadratic equations. Sigma resource Unit 2.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Motivating the study of complex numbers

This video introduces complex numbers by explaining how it is useful to be able to formally write down the square root of a negative number. Sigma resource Unit 1.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

Multiplying complex numbers

This video explains how complex numbers can be multiplied together.
There is an accompanying leaflet. Sigma resource Unit 5.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

The complex conjugate

This video explains what is meant by the complex conjugate of a complex number.
There is an accompanying leaflet. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

What is a complex number

This video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.