Download ModelDownload Sourceembed

About

 

For Teachers

Translations

Code Language Translator Run

Software Requirements

SoftwareRequirements


Android iOS Windows MacOS
with best with Chrome Chrome Chrome Chrome
support full-screen? Yes. Chrome/Opera No. Firefox/ Samsung Internet Not yet Yes Yes
cannot work on some mobile browser that don't understand JavaScript such as.....
cannot work on Internet Explorer 9 and below

 

Credits

Dieter Roess - WEH- Foundation; Tan Wei Chiong; Loo Kang Wee

end faq

Sample Learning Goals

[text]

For Teachers

In the real numbers, we can express a relationship between two sets of numbers by mapping elements from one set to elements in another. We call this mapping a function.

To visualize this, we can plot out a graph of y against x, where y = f(x).

However, this is not possible with complex numbers, which are represented with a 2-dimensional plane. Thus, we map a complex number from one Argand plane to another Argand plane. By seeing how each function transforms a square array of points (red to blue) and the unit circle (black), we can reveal some very interesting properties of how complex numbers behave under a function.

The available functions are as follows:
- Exponential (w = e^z)
- Sine (w = sin(z))
- Cosine (w = cos(z))
- Tangent (w = tan(z))
- Logarithmic (w = ln(z))
- Power (w = z^n)

Research

[text]

Video

[text]

 Version:

  1. http://weelookang.blogspot.sg/2016/02/vector-addition-b-c-model-with.html improved version with joseph chua's inputs
  2. http://weelookang.blogspot.sg/2014/10/vector-addition-model.html original simulation by lookang

Other Resources

[text]

end faq

1 1 1 1 1 1 1 1 1 1 Rating 0.00 (0 Votes)