ACTL4002
Ease: 4/10. It is not easy tying everything in your undergrad together and applying it to real life scenarios. This course and the previous really forces you to think widely.
Content: 7/10. Somewhat interesting, mostly important where relevance is somewhat related to what path you want...
Re: MX2 2015 Integration Marathon
Pretty ugly. You can use x^2 = \sec \theta and x^2 = \tan \theta for each integral respectively.
Simplify etc. etc. Then use y^2 = \sin \theta to end up with something like \frac{y^2+1}{2y(1-y^4)} which we can quickly decompose (using our best mate the...
Ohh right. Probably only students who took MATH1251 in that year have it. If you're looking for more practise, MathSOC will be releasing older papers with solutions soon. :)
ACTL3141
Ease: 7/10. Not too bad, really the only conceptually difficult thing was figuring out exposures (which I still don't get).
Content: 9/10. Content was linked very cohesively and I understood the relevance of each part of the course. Was somewhat interesting.
Lecturer: 9/10. Sherris is a...
Adding courses that haven't been talked about:
MATH2111 - decent-good upwards scaling
MATH2601 - no scaling
MATH2621 - no scaling really
MATH2221 - no scaling (so easy though. very easy HD if you learn the methods)
ACTL2111 - no scaling
ACTL2102 - no scaling
and they say have faith in scaling...
Re: MX2 2015 Integration Marathon
The question was in a unique team event Integration Bee paper, specially designed for one team haha.
Of those questions, some probably required uni maths.
Re: MX2 2015 Integration Marathon
Good job. :)
I used a trig substitution and I think it worked out, though I couldn't be bothered resubbing in for $x$ haha.
Re: MX2 2015 Integration Marathon
A fun integral from 2015 UNSW Actuarial Society Integration Bee,
\int \frac{\sqrt{x^2+1}\left[\ln\left(x^2+1\right) - 2\ln x\right]}{x^4} \, dx
Eddy currents are induced currents that are circular.
The induced current must flow in such a way to oppose the initial change in flux. Say if you're moving a north pole towards the end of a solenoid where both ends are connected, then current can flow throughout the solenoid and through this...
Lenz's law always applies so long as there is an induced EMF.
For example, you move a north pole towards a wire. It experiences change in magnetic flux => induced emf (Faraday's law) => eddy currents in this case. They circulate in such a way to produce a south pole to oppose the change in...