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LibreCAD - An open source 2D CAD application for Windows, Apple and Linux.
Maxima - Maxima is a fairly complete computer algebra system written in Lisp with an emphasis on symbolic computation.
FreeCAD - An open-source parametric 3D modeler
Xoctave - The Affordable Matlab alternative which makes you save money. Xoctave is a powerful software that is meant to unleash the power of GNU Octave by creating a complete scientific computing environment.
SketchUp - 3D for Everyone
MATLAB - A high-level language and interactive environment for numerical computation, visualization, and programming