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This is a collection of how to examples showing the use of Mathematica and Matlab to solve basic engineering and mathematics problems. Few examples are also in Maple, Ada, and Fortran.
This was started as a cheat sheet few years ago, and I continue to update it all the time.
Few of the Matlab examples require the use of toolboxs such as signal processing toolbox and the control systems toolbox (these come free as part of the student version). Most examples require only the basic system installation.