Name: Maxima

Platform: Windows, Mac, Linux

Download Link: maxima.sourceforge.net

Maxima Documentation, Publications & Manuals: maxima.sourceforge.net/documentation.html

Description:
Maxima is a free computer algebra system. Maxima does differentiation, integration, ordinary differential equations, systems of linear equations, polynomials, sets, lists, vectors, matrices, Taylor series and tensors. Maxima is a descendant of Macsyma. Maxima is similar to Matlab, Mathmatica and Maple.

There is a nice free user interface for Maxima called wxMaxima. It is suggested to use or try wxMaxima. wxMaxima makes using Maxima more easy and provides a windowed interface.