Preface
This is a tutorial made solely for the purpose of education and it was designed for students taking Applied Math 0330. It is primarily for students who have very little experience or have never used Mathematica before and would like to learn more of the basics for this computer algebra system. As a friendly reminder, don't forget to clear variables in use and/or the kernel.
Finally, the commands in this tutorial are all written in bold black font, while Mathematica output is in regular fonts. This means that you can copy and paste all comamnds into Mathematica, change the parameters and run them. You, as the user, are free to use the scripts to your needs for learning how to use the Mathematica program, and have the right to distribute this tutorial and refer to this tutorial as long as this tutorial is accredited appropriately.
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Return to Part I of the course APMA0330
Implicit Plot
You can use a variety of different plot functions to make graphs. In this command, I will introduce you to contour plot. The contour plot command gives a contour diagram similar to a topographical map for a function.
PlotRange -> {{-2, 2}, {-4, 4}}, AspectRatio -> 1.5/2.1,
ContourStyle-> {Green , Thickness[0.005]},
FrameLabel -> {"x", "y"}, RotateLabel -> False] (* Thickness is .5% of the figure's length *)
After I entered the ContourPlot command, I used a variety of different commands to modify the graph and create a more aesthetically pleasing graph. When you add the added details for plotting, you do not close the ContourPlot command until all of the adjustments have been made.
PlotRange tells me the range that I want to plot. This is different from the x and y ranges before it because those numbers give the ranges that should be used to solve the given equation.
AspectRatio tells me the ratio between the height and the width of the graph. This describes how you want to scale the x-axis and y-axis to look in comparison with one another.
ContourStyle describes how you want the lines of the contour plot to look.
This command can also be used to change the color of the graph. If you do this, you need to add a second command with ContourStyle like I did above. For the Thickness command, this describes the percent thickness you want of the line, I have it set at .5% of the figure's length.
FrameLabel tells me what I want to be placed on the borders of the graph. For example, if I was graphing a Potential Energy Function, I could set the vertical frame to say U(x) and the horizontal frame to say x.
RotateLabel tells me whether or not I want to rotate the label that I designated using the FrameLabel Command.
j=Graphics[{{PointSize[Large], Black, Point[{{115,195},{212,200}}]}, Inset["A", {130,180}], Inset["C", {225,190}], Inset["y(m)", {6,301}], Inset["x(m)", {295,0}], Inset["50", {100,200}], Inset["45", {175,250}], Inset["40", {175, 150}], Inset["35", {250,50}]}]
k= Graphics[Arrow[{{115,195}, {65,260}}]]
l= Graphics[Arrow[{{212,200}, {185,222}}]]
Show[i, j, k, l]
