The "paradox" stems from ambiguity in how you define the recurring decimal. Thinking of 0.999... as just 0.999 with infinite nines doesn't really make sense. Think of it as the point that the sequence S(n)=1-1/(10^n) converges to. This is well defined, and equals 1.
Re: B. Sc (Adv. Mathematics) - Benefits of Maths degree over B. Eng (job opportunitie
I'm an Adv Math student going into second year. I started out in combined engineering because like you I was concerned about job prospects, but transferred into straight maths in second semester.
I can tell...
OP don't waste you're time with James Stewart- get your hands on Calculus by Michael Spivak and that will be more than enough preparation for 2962 (this covers more than the advanced first year calc units). If you can't get spivak then I've heard Apostol and Courant have both written good books...
You probably got screwed by scaling in that case, I've heard a few people who expected much higher results in 1903.
Just wondering, how did you find the measure theory side of financial maths?
If you go to the MATH2968 webpage, you can get Daners' script for 2961. It goes into a lot of...
What part of 1903 did you find bad? If it was the ODEs section, to me that was mostly just rote learning the solutions and I don't think that's really indicative of how well you will do in upper division maths, it's more a function of how much effort you put in. On the integration side, that had...
I think MATH2961 is a really good idea, because the content kind of completes the calculus sequence, and it will give you a good idea of whether you want to be doing further maths. Plus, it's pretty crucial for both pure and applied.
It's the hardest subject I've done, but the content is really interesting so it's much easier to be motivated to study. Stats on the other hand can destroy you through sheer boredom.
Actually sorry Riproot I think I was wrong : "a minimum of 12 credit points from the Science subject areas of Mathematics and Statistics"
http://sydney.edu.au/handbooks/science/undergraduate/b_science/b_science.shtml
Actually sorry Riproot I think I was wrong : "a minimum of 12 credit points from the Science subject areas of Mathematics and Statistics"
http://sydney.edu.au/handbooks/science/undergraduate/b_science/b_science.shtml
I'm at USyd and I transferred from BE/BSc to BSc in my second semester. The first year students doing civil/flexible first year have the same subjects in the combined degree as a straight B Eng student (this may vary for other streams). Generally it is better to go from engineering to science as...
For physics the TSP projects start in second semester and you don't actually have to be a TSP student to do them- just need a D in PHYS1901 I think (which isn't that hard, pretty much everybody gets an HD due to scaling).
For maths there is SSP which I'm pretty sure isn't a strict 95+ MX2...