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The first was with the DoS and a former head of damtp and I was bricking it. The good thing was that they paid attention to the three topics I gave and both of my questions were about that, though they skipped infinite series in the middle. Both questions were a lot easier than I'd have expected. I made a start on both straight away on both but froze, for what I hope was a brief while, in the first. Made quite a few slip-ups and said something completely wrong for good measure. Left thoroughly embarrassed (reflecting on some parts brings back that feeling) and certain I'd get rejected. Looking back it probably wasn't as bad as I made out at the time, but it was dire and would be the reason why I was rejected.
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Second was with another former department head and a young-ish fellow. We started with another question from the 3 topics (meaning 3/4 on those 3 topics). Didn't have much issue, some minor slip ups, dropped a coefficient at one place (though it didn't effect the result since the integral was zero anyway), and was reminded to look back at previous working a few times. The second question wasn't much trouble either. Left wayyyyyyyy more confident than the first.
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