Cosine wave interactive application that allows you to vary three parameters of the cosine trigonometric equation. The parameters that can be varied together with the allowed minimum and maximum ranges are:

• Amplitude (A): Parameter range [-1, 1]
• Wave Number^* (k): Parameter range [1, 3]
• Phase (phi): Parameter range [0, 10]

Instructions

Vary the Cosine wave parameters by dragging the slider controls up and down. To reset the parameter values back to the original settings click on the ‘Reset’ button.

^*The wave number is often referred to in physics as the angular frequency.

Sine wave interactive application that allows you to vary three parameters of the sinusoidal equation. The parameters that can be varied together with the allowed minimum and maximum ranges are:

• Amplitude (A): Parameter range [-1, 1]
• Wave Number^* (k): Parameter range [1, 3]
• Phase (phi): Parameter range [0, 10]

Instructions

Vary the Sine wave parameters by dragging the slider controls up and down. To reset the parameter values back to the original settings click on the ‘Reset’ button.

^*The wave number is often referred to in physics as the angular frequency.

With the following application you can easily add or subtract two matrices. Simply edit any of the input matrices and click the ‘Calculate Matrices’ button.

One of the nice things about the application below is that when you edit matrix elements the size of the matrix expands/contracts automatically and the other matrices shift to the left/right to compensate. This means you always get a consistent layout matrix elements are edited, and all the columns always line up as you would expect them too.

To edit matrices please see the instructions below:

1. Click anywhere within the application area then press the ‘Tab’ key to cycle through the editable matrix elements. Note: The last matrix on the RHS of each line is not meant to be edited for obvious reason as it only displays matrix calculation results.
2. Click a matrix element directly to select it for editing. The new value can then be entered.
3. When you have edited a matrix element you can click the ‘Calculate Matrices’ button or press the ‘Enter’ key on the keyboard twice^**. Either way the matrices will be updated and recalculated.

** The first press enters the edited value and gives focus to the ‘Calculate Matrices’ button, and the second press activates the button in the same way as if it had been clicked (because it now has keyboard focus).

Here is a small application to convert Celsius into Fahrenheit, and Kelvin. Just type in the temperature you wish to convert in the text box, then select the temperature units you wish to convert to and from via the drop down boxes. The temperature will be updated automatically.

If you keep the units the same and just wish to alter the input temperature then click the ‘Convert Temperature’ button to update the result.

The Mandelbrot Set is a classic fractal that is both beautiful and interesting at the same time. To read up on the history and how it is created see the Wiki page on the Mandelbrot Set.

Below is our initial implementation of the fractal and there are a few options that you can play around with. You can alter the colour map used to plot the fractal as well as the maximum and minimum values for each axis. We have lots of additional features that will be added over time so let us know which ones you want to appear first as well as any others you can think of.

Go ahead try it out right now below!

The quadratic equation can be solved by a well known formula, which is demonstrated below. Simply enter three numeric values for the coefficients in the text boxes and click the ‘Solve’ button. The two solutions (if they exist) will then be displayed to the right of the coefficients.

Even if the solutions are of complex number type they will still be shown as the program handles real or complex solutions to the quadratic equation.