http://www.datafilehost.com/download-09aa846d.html
Here is the geometry syllabus (complete and exhaustive lecture's notes) for first year mathematics and physics student. You're lucky, it's one of the rare courses in first year provided in english (introduction in French but nothing useful, only credits and history of writing).
It may be a bit difficult but it's clear for someone who take the time to correctly read and study it. You'll have basics of linear and differential geometries and it contains nice chapters about complex field, differential equations (of course), topology and quadratic forms.