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Complex Numbers resources

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3GP Mobile Phone (10)

Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.

Community Project (1)

Resource type Integration: Laplace Transforms SOURCE
A zip file containing LaTeX source and eps files for the quick reference leaflet 'Integration: Laplace Transforms' contributed to the mathcentre Community Project by Leslie Fletcher, Liverpool John Moores University

Guides (1)

Resource type Just the Maths (A.J.Hobson)
"Just the Maths" authored by the late Tony Hobson, former Senior Lecturer in Mathematics of the School of Mathematical and Information Sciences at Coventry University, is a collection of separate mathematics units, in chronological topic-order, intended for foundation level and first year degree level in higher education where mathematics is a service discipline e.g. engineering.

Quick Reference (18)

Resource type Adding and Subtracting Complex Numbers
This leaflet explains how complex numbers can be added or subtracted. There are accompanying videos. Sigma resource Unit 4.
Resource type Complex arithmetic
This leaflet explains how complex numbers can added, subtracted, multiplied and divided. (Engineering Maths First Aid Kit 7.2)
Resource type Division of complex numbers
This leaflet explains how to divide complex numbers. Sigma resource Unit 7. There are accompanying videos.
Resource type 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.
Resource type Integration: Laplace Transforms
Reviews the techniques of integration needed to find and manipulate Laplace Transforms. This Quick Reference leaflet is contributed to the mathcentre Community Project by Leslie Fletcher and reviewed by Martin Randles, Liverpool John Moores University.
Resource type 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.
Resource type Multiplication and division in polar form
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.(Engineering Maths First Aid Kit 7.6)
Resource type Multiplying complex numbers
This leaflet explains how complex numbers can be multiplied together. There are accompanying videos. Sigma resource Unit 5.
Resource type The Argand diagram
This leaflet explains how an Argand diagram is used to provide a pictorial representation of a complex number. (Engineering Maths First Aid Kit 7.3)
Resource type 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.
Resource type 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.
Resource type The exponential form
Complex numbers can be written in exponential form. This leaflet explains how this is done. (Engineering Maths First Aid Kit 7.7)
Resource type The form r(cos(t) + j sin(t))
This leaflet explains how a complex number can be written in the form z=r(cos(t) + j sin(t)). (Engineering Maths First Aid Kit 7.5)
Resource type 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.
Resource type The polar form
This leaflet explains the polar form of a complex number. It defines the modulus and argument of a complex number. (Engineering Maths First Aid Kit 7.4)
Resource type 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.
Resource type 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.
Resource type What is a complex number ?
This leaflet gives a simple, brief introduction to the concept of a complex number. (Engineering Maths First Aid Kit 7.1)

Test Yourself (9)

Resource type Basic complex numbers - Numbas
6 questions on complex numbers, multiplication, inverse, division and modulus. Finding the distance between complex numbers. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Complex Numbers Arithmetic - Numbas
6 questions on complex numbers, multiplication, inverse, division and modulus and finding the distance between complex numbers. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Complex Numbers Test 01 (DEWIS)
Seven questions on complex numbers. Testing modulus, multiplication, division, Argand diagram, polar form, De Moivre's theorem. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
Resource type Complex Roots of Polynomials - Numbas
2 questions finding roots of real polynomials. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Complex roots of real polynomials - Numbas
Finding roots of a cubic and the roots of a quartic by inspection. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type 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.
Resource type Modulus and argument - Numbas
Find the modulus and argument of complex numbers. One question. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Polar Form and De Moivre's Theorem - Numbas
3 questions. Finding modulus and argument of complex numbers. Use De Moivre's Theorem to find powers of complex numbers. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Polar form and De Moivre's Theorem - Numbas
3 questions. Finding modulus and argument of complex numbers. Use De Moivre's Theorem to find powers of complex numbers

Video (10)

Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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)

Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.
Resource type 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.