# Search results

1. ### ΣUMS Puzzle Hunt 2010

Hi again! Just dropping a message letting everyone know that the 2011 SUMS Puzzle Hunt starts next Monday! (26 Sep - to coincide with school holidays and Uni midterm break) Head over to our website at http://www.maths.usyd.edu.au/u/sums/puzzlehunt/2011/ to register a team. As usual, there are...
2. ### ΣUMS Puzzle Hunt 2010

Hi everyone! I'm from Sydney Uni Maths Society (ΣUMS) and we're holding an online competition called the ΣUMS Puzzle Hunt. Those of you who like a bit of a mental challenge will enjoy this. You can form teams of up to 5 people for a chance to win prizes - with first place winning \$300...
3. ### SUMS Puzzle Hunt

Hi everyone, Sydney Uni Maths Society (SUMS) is running a competition called the SUMS Puzzle Hunt, starting Monday (31st August). You can get into teams of up to 5 people for a chance to win hundreds of dollars worth of prizes - first place gets \$300! Entry is FREE! There will be 20 puzzles...
4. ### Offering tutoring for mathematics, ext1 (98) and ext2 (98). 99.65 uai

Hi all. This thread is terribly out of date. I'm no longer in the business of private tutoring.

I don't believe you can have such a probability measure defined on the entire real number line which is uniform (which I suppose would reflect our intuitive understanding of 'at random'.) Suppose it did: Note that a requirement of being a probability measure in this scenario would be for the...
6. ### hard locus hyperbola qn :S

Does it mean, find the equation of the locus of R?
7. ### hard locus hyperbola qn :S

I don't think he was actually asking for a solution, more an interpretation. A diameter of any conic is a chord which passes through the centre (in this case, the origin). In this example you want to show that the midpoints of all chords PQ with gradient m lie on this particular diameter, given...
8. ### Why 1=2...

Or he could be working over the ring containing just {0}.
9. ### ellipse qn

Well it is completely valid, though it seems a bit unnecessary, unless you were actually told to find the equation of the chord then sub the point in. Hint: note that cos(theta + pi) = - cos(theta) and sin(theta + pi) = -sin(theta) and the fact that the midpoint of any two points must lie of...
10. ### ellipse qn

Just find the midpoint of P and Q :p.
11. ### [AUTHOURITY NEED]is 'd cosx' available?

I've done it plenty of times and received full marks. They're differentials. Plus, it makes integration by parts so much quicker and concise.
12. ### 4U Volumes - Cylindrical shells

Q1. We shall do this by considering cylindrical shells of a small thickness, finding their volumes then summing to find the whole volume. For a typical point x between x=0 and x=2, consider the cylindrical shell generated by rotating the region between the curves from x to x + δx, for small...
13. ### Mathematical inductiuon help please

milton: You can go one better and also say at least one of (n-1), n or (n+1) is divisible by 2, so the entire expression is divisible by 12.
14. ### physics mechanics question

I think that would only work if the acceleration is constant. It's been ages since I did physics, but equate the kinetic energy of the car with the elastic potential energy? I don't remember the formula for elastic potential energy though.
15. ### MATH2962 vs MATH2963

Another vote for Anaahhlysis.
16. ### Nmss

I don't recall you being in my stats class last year Templar :p.
17. ### What Subjects Are You Taking This Year?

Sem 1: Metric Spaces (Adv) Rings, Fields and Galois Theory (Adv) Two 3rd Year Stats Adv units Maybe- Differential Equations and Biomaths Sem2: Measure Theory and Lebesgue Integration Adv Modules and Group Representations Adv Two other 3rd Year Stats Adv units Lagrangian and...
18. ### First year physics

I found that HSC Physics was quite useless when learning uni physics. Ext2 Maths does help a lot, especially all the mechanics stuff.
19. ### Nmss

You've hooked up at Olympiad camp Templar?
20. ### BoS USyd Roll Call 2007! - UPDATED 19/1

Re: BoS USyd Roll Call 2007! SeDaTeD B Science (Advanced Mathematics) III (Mathematics/ Statistics)