The basic price of MATLAB is not unreasonable for a professional product, though some items which should in my opinion be included, are only available with the addition of toolboxes, which can cost more than the basic MATLAB. There is even a toolbox for curve fitting.
A professional user could easily need to spend $15,000 to get all the toolboxes they need. Often one toolbox requires several others to be installed too. The price rockets up.
The symbolic toolbox for MATLAB, adds symbolic capabilities, but it is clear this was not developed initially for MATLAB, but was sold as another product, and the company than acquired by Mathworks. It does not feel very nicely integrated into MATLAB, and although I have access to it, I soon gave up and use Mathematica when I want symbolic maths, as Mathematica is much stronger at symbolics.
For numerical work, this is an industry standard and well worth learning to use well. But there are alternatives someone should consider
1) Octave is a free Clone. It is not 100% MATLAB compatible, but is quite close. However, from a students point of view, I’d rather learn MATLAB as that’s what employers want.
But if money is tight, Octave is a very viable alternative.
2) Sage – open source, and free, but too buggy. I would not trust any result from Sage.
3) Mathematica – more expensive, but more complete, but not as easy to use as MATLAB. There is a “home edition” of this too, which is excellent value for money if you want it for hobby use.
4) Maple – Like Mathematica, this is better at symbolics than MATLAB
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