Unfortunately I happened to post an earlier version of the exam-solutions last Friday. The main difference was a different numbering of the parts of problem 3. It has now been replaced by the correct (I hope) version.
Suggestions for solutions to the exam problems can now be found under the link 'solutions' to the left.
One final remark: I have been asked about prerequisites for the Differential Geometry course in the spring (MAT4590). It does use language from the Manifold course (MAT4520), but not much, and what you haven't already had, will be explained as we proceed. So I hope to see many of you there!