My friend was in a similar situation as you, the same school, possibly, except it was "Electric Circuits 2".
On Wednesday he failed the last exam, Thursday he applied as new student, on Monday he was 1st year student and by Friday he was 3rd year student with all classes accepted. Still had to do the Electric Circuits 2 of course.
Kicking someone out and effectively voiding all progress just for failing one challenging final year class twice is completely mad.
Was it rather that you lost a scholarship and couldn’t afford to finish or something like that?
Sorry to dwell, I’m sure it must be painful, I wish you the best luck.
It was mostly painful to see people I had courses with graduate just this month, however I do have a good software engineering job so all is well?
And I'm very sorry to hear that either way :(
As for the appeal - these usually aren't successful, even my thesis advisor said that he probably wouldn't go out of his way to talk to the analysis course examiner etc. etc.