Mathematica 5 
The amazingly powerful modeling, calculating and data analysis tool by Wolfram.
- shift-enter or number pad enter execute
- x*^y translates to xy
- := defines function
- Clear[x] clears variable or function's value
- % use previous output
- ; inhibits output from being printed
- N[x] numerically evaluate
- <<Location'Package' include package
- //Short output is summarized
- expression /. replacement replacement operator
- D[f, x, y] partial derivative of f with respect to x and y
- Dt[f, x] total derivative
- Integrate[f,{x,a,b},{y,c,d}] double integral of f with respect to y then x
- Solve[lhs==rhs,x] solves equation (make sure you have two equals signs!!)
Translation between Mathematica, Maple, Matlab and IDL from University of Colorado's applied math.
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