Don't do anything, especially emailing your prof about your dream, until you get your marks back.
Actually, don't email your prof about your dream at all.
It's not entirely hopeless though. I took a course last fall, failed it, then took it again in the summer and...failed it again.
It was a lot closer the second time though.
Anyway, I went and saw my exam, noticed what could have been marking errors, so I asked the prof to remark it. I only needed one or two more marks on it to pass, but when he got back to me, he said there wasn't anything he could do.
Not willing to accept my fate, I went through and calculated all my marks, realized I did pass with the exam mark that I got, then sent my prof my proof. Turns out he marked a quiz out of 16 instead of 13 for some reason, and because of that, I passed. He said his mistake didn't affect anyone else in the class, but I'm still a little hesitant to believe it.
Granted, in my case, everything was marked by hand so distribution of part marks was subjective (as opposed to first-year Chem, where everything except the labs is marked by a computer), but if you can stay rational in your communications then you might be able to do something.
Wait until marks are up first though. Chem solutions are up pretty fast though, can't you just check roughly how many questions you got right and calculate your mark from that?
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