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  1. who_loves_maths

    Mathematics student research projects @ Uni

    Does anyone know of any undergraduate research projects that either UNSW and/or USyd offers to its science or advanced science or advanced mathematics students throughout their degree? What sort of topics and themes do these usually involve and what's it like in general? And do you usually...
  2. who_loves_maths

    Advanced Science/Mathematics student research projects

    I was asking a similar thing on the UNSW Faculty of Science forum as well. Any information is greatly appreciated. I was wondering if anyone (in particular, BSc(Adv.) and BSc(Adv. Maths) students) knows anything about special research projects that are on offer to undergrad. students by the...
  3. who_loves_maths

    Advanced Science student projects

    I was wondering if anyone (in particular, students of BSc(Advanced)) knows anything about special projects that are on offer to students by the various departments in the Faculty? (eg. like who to contact, the central coordinators, staff members involved, etc.) By 'special projects' I mean a...
  4. who_loves_maths

    Complex Complexities!

    i ven't done uni maths, so wouldn't know about this, but can someone outline the formal mathematical refutation of this plz: ln(-1) + ln(-1) = 2ln(-1) = ln((-1)^2) = ln(1) = 0 ie. ln(-1) = 0 thx in adv.
  5. who_loves_maths

    4u Mathematics Marathon V 1.0

    Same idea as the 3u Marathon, thanks to Slide Rule who's initiated it. here's the first question to start off: Question 1: (a) Show that d[cos(x)]/dx = - sin(x) (b) Prove that d[sec(x)]/dx = sec(x).tan(x) (c) Hence, prove that: (i) For all odd positive integral 'n', where limits...
  6. who_loves_maths

    highest UAI in history!

    does anyone know what the highest UAI aggregate score is in the history of the HSC? and who (and from what school) attained it? just curious...
  7. who_loves_maths

    something new on the "pi and e" debate...

    sorry for making this thread on "pi and e" again, but i had no choice on account of the last one being closed. Anyhow, just found out something interesting. Just went to look for some info on 'pi' on Wolfram, and was surprised at a line on the website: Wolfram - Pi specifically...
  8. who_loves_maths

    possibility/impossibility of pure Geometric constructions.

    the Jacob Steiner Theorem states that when given a fixed circle it is impossible to find the centre of that circle (throught pure constructions) using only a straightedge {ie. NO compass(es)}. however, what about using only a ruler (ie. a straightedge, but with measurements/calibrations on it...
  9. who_loves_maths

    Number Theory question... for those who are interested.

    okay, these three questions were inspired by haboozin in his latest thread in which he posed a similar, but easier, question: 1) Given a positive integer of 'n' digits (base 10), with n >= 0 and the first digit never 0, what is the maximum number of such integers, in general, that can exist...
  10. who_loves_maths

    for Med application... how much do you write?

    i apologise if this question has been asked already (i haven't read any threads yet in this sub-forum), but here it is. in the application to various universities that offer medicine (or in fact any courses that require an application), the applications forms usually have a limited and...
  11. who_loves_maths

    queries on PhB in Science.

    hi, i'm a year 12 who's looking for some advice from those who know about or are current doing the Bachelor of Philosophy program in Science at ANU. i'm intending to apply to this course for 2006 and one of the requirements is to submitt two referee reports; so i was just wondering who...
  12. who_loves_maths

    comparing schools' past papers... which is harder???

    what do ppl out there think of SBHS trials and past papers? i had a look at few of them on the weekend... how would you rate them? (in terms of comparative difficulty against the papers of other schools) [and yes i realise that every year the papers are different, but i just want a 'general'...
  13. who_loves_maths

    a rather obstinate 3u Geometry question (not circle).

    okay ppl, for those keen 3u (or 4u) mathematicians, plz attempt this question: In triangle ABC, the angle bisector of < ABC from B meets the side AC at B'. and the angle bisector of < ACB from C meets the side AB at C'. If BB' = CC' , then prove that triangle ABC is isosceles. this...
  14. who_loves_maths

    44th unsw maths comp... how did you go?

    hey ppl, we just had the annual unsw comp. today at school. how did all you ppl out there go in that? any thoughts about any of the questions? i'm curious cause i didn't do very well in it... ran out of time... :(
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