Search results

In summary so far I have put together the solutions to 3E Q3e and 6G Q17 into a single pdf here https://www.angelfire.com/ab7/fourunit/Cambridge-e2-3EQ3e-6GQ17.pdf EDIT: better there so guests can download too rather than the attachment I had before - also better in case I have to edit it later.

I just found out that there has been a last minute change to this. Apparently the recording will now be audio only, not video.

But before I do that, have you ever wondered why collinear is usually spelt with two l's? Co-linear or colinear may be more sensible. Colinear is an accepted form in the US. However there is a reason for the two l's in the more common spelling. Collinear has its roots in Latin, with the...

Some may say I went outside the syllabus with my proof of collinearity when I used the cross product. Clearly I don't care :). However it can also be done like this (within the syllabus): \overrightarrow{AS}=k\overrightarrow{AP}\text{ where }k=\frac{V^2}{2g\sqrt{a^2+b^2}} \text{Hence...

I reckon we can also use the results of 6G Q8 to assist with 6G Q17: Here is 6G Q17 again: \text{w.l.o.g. let }A=(0,0),P=(a,b), S\text{ be the focus}. \text{Now we have that }\alpha=\frac{\pi}{4}+\frac{1}{2}\tan^{-1}\frac{b}{a}\text{ from 6G Q8b} \text{So...

Here is the solution to 3E Q3e which I did because it is really easy. Not sure why Cambridge skipped the solution to this one. First we see the answers to 3E Q3d: e^{i\pi/2},e^{-i\pi/6},e^{-5i\pi/6} To put them in Cartesian form e^{i\pi/2}=\cos\frac{\pi}{2}+i\sin\frac{\pi}{2}=0+i=i...

Added: 1H Q17 2F Q17, 18, 19, 20, 21 3C Q11d 3D Q10 4A 5e 6F Q7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 6G Q7, 8, 9, 10, 11, 12, 13, 14, 15, 16 6H Q1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29 Still missing: 3E Q3e 6G Q17 So that's...

I thought it was clear in the reference: Reflections 47(4), 2022, pp. 24-31

One of the references in the article, "Lamb, H. (1923). Dynamics, 2nd ed., Cambridge University Press, Cambridge" is available as an ebook so that is easy to get. Not sure if there is an ebook for the other one "Green, S. L. (1964). Dynamics, 2nd ed., University Tutorial Press, London" but I...

There is also a new article on this paper Q16b attached. Beard, G. and Coupland, M., Resisted motion under gravity, Reflections 47(4), 2022, pp. 24-31

Here is a more specific list of resources for solutions for Extension 1 and 2 HSC exams. They are online from 1967-2022 for Extension 1 and 1981-2022 for Extension 2. The itute and Terry Lee ones will probably have solutions after 2022. For those who have access to MANSW’s Reflections...

So like this?

I just noticed that the Mastering Mathematics Extension 2 book has the following question So clearly I'm not the only one who thinks scalar triple product is not beyond the capabilities of Extension 2 students.

NESA Requirements: 60 hours The Mathematics Extension 1 Year 12 course should be taught prior to or concurrently with this course. Students should experience content in the course in familiar and routine situations as well as unfamiliar situations. Students should be provided with regular...

I don't think it is about forcing. More about thinking a bit differently about mathematics. Another resource are the mathematics competitions like IMO and Australian Mathematics Competitions as well as the Art of Problem Solving website https://artofproblemsolving.com/community

Schaum's Outlines are great for undergrad uni. For history of maths, David E. Smiths's History of Mathematics Vol. I and II are good start. Most of these are available as ebooks. For current research the American Mathematical Society's website ams.org is good, particualrly the Notices of the...

That sounds great. You should cover the syllabus, but there is nothing stopping you from going further. There have often been many questions in Extension 2 HSC papers as well as in some harder trial exams which go beyond the syllabus. Wider reading on the history of maths and also current...

US shoots down Chinese balloon This video looks better than the ones on youtube

I recently posted a series of questions which lead to the identification of every member of the Examination Committee in the 1916 Leaving Certificate examination for Mathematics Honours at https://community.boredofstudies.org/threads/1916-hsc-leaving-honours-mx2-qn.402538/#post-7450320 Some...

I think it is good information for students and teachers. But for those who cannot attend, they will be videoing it and will make the video available afterwards.