Download this tutorial:

http://www.science.uva.nl/ga/files/GABLE15plus.pdf

Download GA viewer and GA documentation from:

http://www.geometricalgebra.net/gaviewer_download.html

Download  http://www.science.uva.nl/ga/files/20050331_tutorial_files.zip

Get the software going, read 1.Introduction of  "GABLE15plus", load 20050331_tutorial_files, run GAdemo() and play around a bit with the software until you get a feel for how it works.

You may find some of the terminology confusing particularly if you have no knowledge of vectors (typically but not always first encountered in a linear algebra course).

Generally, if

and the picture for the course make no sense at all, then this course is likely not for you.