I'm searching for a freely available text that introduces topological and smooth manifolds. I don't need much, just their basic properties and a bit more motivation than the wikipedia articles offers. Maybe course notes of some course that covered them.
(Background: I skipped the classes where topological manifolds were introduced, and now I can't solve any problem where they appear, and I would like to change this before the exam ;)
I am very sure these links will be very useful.
http://www.dpmms.cam.ac.uk/~agk22/mfds.pdf
http://www.math.toronto.edu/mgualt/MAT1300/week1.pdf
http://www.math.washington.edu/~lee/Books/Smooth/c01.pdf
http://www.math.sunysb.edu/~azinger/mat531-spr10/lect1to5.pdf