Choose the type of plot desired, supply the values of the parameters which are not selected as free variables, and click "Evaluate." Mathematica "Interpolating functions" As we just saw, Mathematica expresses the solution of a differential equation as an InterpolatingFunction object. Finally, you can copy and paste all commands into your Mathematica notebook, change the parameters, and run them because the tutorial is under the terms of the GNU General Public License ( â¦ This video tutorial covers basic plotting of functions using Mathematica. Mathematica also provides a ContourPlot3D function for three-dimensional contour plots, as well as a VectorPlot3D function for 3-D vector plots. fyi, a function in Mathematica is defined using _ as in f[w_,x_,y_,z_]:=. The Mathematica commands in this tutorial are all written in bold black font, while Mathematica output is in normal font. 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 Nickalls found a set of parameters that do a better job. value of the ï¬tted parameters, etc.). All Mathematica functions start with a capital letter, eg. Plotting a parameterized curve in Octave is trivial. However, nothing stops us from using it in a more general fashion. Sin[x], Exp[x], Pi or Infinity. 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 /. Fortunately, many examples in electromagnetism have that property. If you want ... linePlot= Plot@lineFit,8x,-5,5 rather than an equals sign. 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