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The Argand DiagramThis mobile phone video explains how complex numbers can be represented pictorially using an Argand Diagram.
There is an accompanying leaflet.
The polar formThis 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)
The polar form of a complex numberThis leaflet explains what is meant by the polar form of a complex number.
There are accompanying videos. Sigma resource Unit 10.
The Argand DiagramThis leaflet explains how complex numbers can be represented pictorially using an Argand Diagram.
There are accompanying videos. Sigma resource Unit 8.
Boolean 08: More complex truth tablesA video tutorial on truth tabes for complex Boolean expressions using three and four different outputs. There are 8 videos in the Boolean series. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Eva Szatmari and Catherine Griffiths, Birkbeck College, University of London and reviewed by Gill Whitney, Middlesex University. It is one of a series of 20 video resources funded by a sigma Resource Development grant.
Boolean 08: More complex truth tablesA video tutorial on truth tabes for complex Boolean expressions using three and four different outputs. There are 8 videos in the Boolean series. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Eva Szatmari and Catherine Griffiths, Birkbeck College, University of London and reviewed by Gill Whitney, Middlesex University. It is one of a series of 20 video resources funded by a sigma Resource Development grant.
The Argand DiagramThis 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 polar form of a complex numberThis 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.
The Argand DiagramThis 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.
Modulus and argument - NumbasFind 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.
Eigenvalues and eigenvectors Test 01 (DEWIS)Four questions on finding eigenvalues (both real and complex) of a 2X2 matrix and eigenvectors of a 2X2 and 3X3 matrix. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
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)
Complex roots of real polynomials - NumbasFinding 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.
The Argand diagramThis leaflet explains how an Argand diagram is used to provide a pictorial representation of a complex number. (Engineering Maths First Aid Kit 7.3)
Boolean 07: Complex truth tablesA video tutorial on using truth tables to prove logical equivalence of Boolean expressions and introducing more complex Boolean expressions and their truth tables, using two and three different outputs. There are 8 videos in the Boolean series. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Eva Szatmari and Catherine Griffiths, Birkbeck College, University of London and reviewed by Gill Whitney, Middlesex University. It is one of a series of 20 video resources funded by a sigma Resource Development grant.
Boolean 07: Complex truth tablesA video tutorial on using truth tables to prove logical equivalence of Boolean expressions and introducing more complex Boolean expressions and their truth tables, using two and three different outputs. There are 8 videos in the Boolean series. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Eva Szatmari and Catherine Griffiths, Birkbeck College, University of London and reviewed by Gill Whitney, Middlesex University. It is one of a series of 20 video resources funded by a sigma Resource Development grant.
Imaginary numbers and quadratic equationsThis mobile phone video shows how the imaginary number i can be used in the solution of some quadratic equations.
Rearranging Formulas 2The ability to rearrange formulas, or rewrite them in different ways, is an important skills. This leaflet will explain how to rearrange some complex formulas.
Polar co-ordinatesThe (x, y) co-ordinates of a point in the plane are called its Cartesian
co-ordinates. But there is another way to specify the position of a point, and
that is to use polar co-ordinates (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.
Polar co-ordinatesThe (x, y) co-ordinates of a point in the plane are called its Cartesian
co-ordinates. But there is another way to specify the position of a point, and
that is to use polar co-ordinates (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.
(Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Polar co-ordinatesThe (x, y) co-ordinates of a point in the plane are called its Cartesian
co-ordinates. But there is another way to specify the position of a point, and
that is to use polar co-ordinates (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.
(Mathtutor Video Tutorial)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Second order differential equations - Numbas5 questions on second order differential equations.
First two and last, linear with constant coefficients; first two homogeneous, complex and repeated roots. Last, non-homogeneous. Third, motion under gravity. Fourth, linear with a given particular solution (variation of parameters).
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Analysing Random Processes using MATLAB at the Master's LevelMATLAB is the chosen simulation environment that is used throughout the Department of Electronic and Electrical Engineering. MATLAB is used by the students at several levels. It is used in earlier years as an 'Engineering' calculator that is useful for scientific calculations and visualisation particularly for complex analysis. As the course develops MATLAB becomes invaluable for investigating the time-frequency characterisation of signals and systems. MATLAB also gives the students an environment that allows them to write programming code in a 'C' like format. Finally MATLAB facilitates greater contextual teaching and problem based learning, which has become increasingly important in current Electronic and Electrical Engineering.
Maths EGComputer-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.
Maths EG Teacher InterfaceThe teacher interface for Maths EG which may be used for 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. Teachers need to register (top right of screen) and thereafter login to use the system, after which they may use it to compose their own tests by selecting (specifically or randomly) questions from the entire database of questions. Instructions are available from the title page.
