Abstract: This paper corresponds to the printed form of an invited talk the rst author delivered during a RIMS workshop held at Kyoto University in August 2013.The presentation was mostly devoted to show a preview of a new mathematical software developed by the authors, preliminary called FunMath-MPS version 0.1. The software is basically an on-going project towards the development of a full suite of Mathematica packages providing support to the computational needs of both teachers and students of the \Fundamentals of Mathematics" course, which is traditionally taught in Mathematics, Physics, and other Engineering degrees in many Universities and Colleges all over the world. This paper explores some issues regarding the development of this suite. It also shows some preliminary examples of some on-going packages in different subjects: graphical representation and algebraic manipulation of piecewise functions, and row and column operations on matrices.

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