Using the power of Mathematica, the Function Plotter creates high-quality visualizations of special functions on demand. For example, To insert a set of parameters to a function use /. In Mathematica, the Fit function takes a list of points, a list of expressions, and a list of independent variables, and determines which linear combination of the given expressions produces the best fit to the data. The relation between the parameter sets is given in the Details section. Fortunately, many examples in electromagnetism have that property. Mathematica Functions. Both of these plot types work best on functions ( elds) that are large within some central region, dying out with distance. In[5]:= Plot x, x^2, x^3 , x, 0, 2 Out[5]= 0.5 1.0 1.5 2.0 2 4 6 8 Notice that we have two sets of lists in the plot directly above, : the first set enumerates the list of functions to be plotted, the second list delineates the plotting parameters (i.e., plotting with The Mathematica commands in this tutorial are all written in bold black font, while Mathematica output is in normal font. It’s just that using x as the parameter is the most typical use. Choose the type of plot desired, supply the values of the parameters which are not selected as free variables, and click "Evaluate." Plotting a parameterized curve in Octave is trivial. All Mathematica functions start with a capital letter, eg. Mathematica "Interpolating functions" As we just saw, Mathematica expresses the solution of a differential equation as an InterpolatingFunction object. This section is dedicated to the description of the di↵erent plotting functions available in Mathematica. 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