In an effort to get a better understanding of how the variables affect the shape of the Gaussian distribution that represents the probable state of the variables being modelled, I fired up Octave. Octave is math software that allows the user to do a large variety of things, but in my case I just wanted to use it to graph a Gaussian distribution and see the effect of changing the variables.
Thanks to this helpful, and to the point, post, it was reasonably straight forward to start graphing curves in two dimensions.
x = [1:0.1:6]
sigma = 5
mu = 10
fx = (1/sqrt(2*pi*sigma^2)*exp(-(x-mu).^2/(2*sigma^2)))
This is enough to get started.