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March 14, 2026, 09:55:55 am

Author Topic: Real Analysis  (Read 2407 times)  Share 

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bridger

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Real Analysis
« on: January 16, 2011, 12:34:14 pm »
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Hi

Just wondering whether anyone has done the second year subject Real Analysis with Applications?
Ive been hearing that its difficult, but I'd like to hear some of your thoughts from anyone who has done it.

Thanks

VCE 2009
2010-2012 Bachelor of Science - UoM
2013-2016 Doctor of Medicine - UoM

rustic_metal

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Re: Real Analysis
« Reply #1 on: January 16, 2011, 03:04:44 pm »
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Most of it is limits, continuity and induction proofs, which are all pretty easy. The assignments are dozens of questions long each, though, from what I've seen.

ryley

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Re: Real Analysis
« Reply #2 on: January 16, 2011, 11:49:43 pm »
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Hey bridger, I did accelerated maths 2 last semester, which covers most (all?) of real analysis. I hadn't done accelerated maths 1, so there were a few things like induction which were new to me but assumed knowledge, so depending on how you got to real anlysis you might wanna keep an eye out for stuff like that.

I did enjoy how I found myself having to justify what I had previously taken as fact, and the emphasis on rigour was a welcome change from VCE maths. You'll find yourself doing more "Show that a function f(x) which is strictly increasing on a closed interval has positive gradient" than the typical "Find the interval on whhich f(x) is increasing".

I didn't do as well in accelerated maths 2 as I had in maths in the past (due to awful work during semester - I did get over 80 on the exam), but I didn't find real analysis that big a step up from previous maths. Lecture and tute attendance is important (I went to fuck all and it cost me big), but you have to make a big effort to clarify anything you're slightly unsure of. And make sure you're as rigorous as possble in your responses! Consider every case and make sure you learn the definitions of concepts like continuity perfectly (and don't just memorise them!)

As a side note, keeptrack of your assignment marks... my tutor gave me 23/40 for the first and 26/40 for the second. I didn't get them back until a couple of weeks before the exam and I realised he had added them up wrong, they were actually 36/40 and 38/40. I went to the course co-odinator and she sorted it out for me, so that was alright, but please make sure you check your work when you get it back! (funnily enough, on neither assignment could my tutor have simply missed a page or two and got the totals he did... I'm not paranoid lol).
2008: 3/4: Biology[41]
2009: 3/4: English[37], Chemistry[43], Methods(CAS)[46], Physics[39], Specialist[46]
ENTER: 98.85
B.Sc(Applied Maths) @ Melbourne Uni