FreeMat

This is a demonstration of the software FreeMat. Its uses are similar to that of the more widely known MatLab. Our sample includes:

1. A graph of the functions sin x and cos x between 0 and 2π.

2. Finding the current through the 10 Ω resistor in the following circuit:

We set i₁ and i₂ to the left and right loop, respectively, with both loops moving clockwise. By setting the systems of equations in FreeMat, shown below,

we find that the current is 0.1857 A in the direction of i₂ .

3. Comparing exponential graphs with different time constants. The first graph is the function e^-t/τ

Assignment 1-1 is a graph of 2e^-t/τ. One time constant is 100 ms and 200 ms for the other.

Assingment 1-2 is a graph of 2(1-e^-t/τ) with the same time constants.

4. Adding sinusoidal functions. 

Assignment 2-1 is the sum of two sinusoids: 3 sin(2t+0.175) and 5 cos(2t-0.525).

Assignment 2-2 is the same graph with a frequency of 10 Hz. The script for the output goes as follows:

and the graph