I need some calculations done in MS Word equation editor

I am writing a project about Modernizing Mathematical Education. I need the following: showing how various problems would be worked out traditionally step-by-step (using MS Word equation editor) and then how the same problem is completed in a few seconds by using Matlab, Maple, etc. Specific examples that should be included are diagonalizing or factoring a matrix in linear algebra, using trig substitution for calculating derivatives, Integration by parts for integrals, calculating a partial differential equation, etc. The goal is to show that by removing the need to learn a multitude of different equations to solve various problems, one can focus on understanding when to use those equations.

Some examples of calculations (the ones I mentioned) should be created in MS Word equation editor and then the same calculations from that editor should be done in a software such as MatLab or Maple.

I need the project delivered on March 22nd, 5 p.m. GMT.