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Hi, I was looking through past papers and found the 1995 MX2 paper question 4 a, and I wasn't sure how to tackle it. The question is; \text{Find the least positive integer k, such that } \cos(\frac{4\pi}{7}) + i\sin(\frac{4\pi}{7}) \text{is a solution to} z^k=1. How do you do it? Thanks

Hi, Has anyone got any good synonyms or alternatives for using the words "discovery", "discovers" and "discoveries"? All I can currently think of is "find" or "found". Thanks

Hi, For annuities the excel textbook has formula's for future and present value, are we meant to use these or just a table of values? Thanks

Hi, I'm interested in the career possibility of being a pure mathematics professor at university. Though I have a few general questions about the career; 1. Once you obtain a degree in pure maths, what's next? Do you get a masters, PHD, further study? 2. How does one become a Mathematics...

Hi, In the syllabus it states that students should be able to "prove that there are always two square roots of a non-zero complex number". How do you do this? I haven't been able to find anywhere with a good proof and none of my textbooks have it. Thanks

Hi, Every now and then I run into a problem and solve it using the "usual" methods taught, however I then see a counter example where they attack it in a different way, and in some cases solve the problem much faster. E.g. eddie woo on this binomial identity problem...

Hi, When finding the greatest coefficient in a binomial expansion do I have to algebraically solve \frac {T_{k+1}}{T_k}, or can use that \frac {T_{k+1}}{T_k} = \frac {b(n-k+1)}{ak} in the expansion of (a+b)^n ? Thanks

Hi, I know we are taught the triangle inequalities in complex numbers, but apart from proving them, what questions can be asked from them? Has there been questions previously asked in the HSC using them? Thanks

Hi, I eventually gave up and looked for the answer on the net to question 7 complex numbers in ekman's compilation of questions asking "Simplify \sin(x)+\sin(2x) + \sin(3x) + ... + \sin(nx) ". When I looked at how to derive it, it all involved e^{ix} and t+t^2 +...+t^n = \frac...

Hi, As stated by the title, should you do 12 or 10 units? If I do 10 I get the extra study time (and I will use it) which could help my subjects quite a bit (currently I'd get at least an extra 6-8 hours study), OR I could keep the 12 and have a "safety net". My subjects are: English...

Hi, In your opinion what is the best university for mathematics (I currently know of UOW vs. UNSW vs. USYD vs. ANU vs. UNCLE)? Is some of them better for pure mathematics, others applied and some statistics? Or is there one overall winner? Thanks

Hi, Is anyone aware of a resource that contains past papers by topic for more recent HSC papers? I'm only aware of one for 1988-1997 written by Rowland Jones. Thanks

Hi, In the HSC are you allowed to use set notation like \mathbb{Z}, \mathbb{R}, \mathbb{C}, \in ? Thanks

Hi, Is there any books/resources that has sorted past papers questions by topic? I would appreciate this very much, it would save time in having to look through all the papers for each topic. Thanks

Hi, How many hours should you study weekly for MX2? They say at least 50% of your study time, is this true? How about just for maths like MX1 and 2 unit? Thanks

Hi, If I'm doing MX2 is there any reason to think about 2 unit or even study it at all? As you don't sit the exam should I devote any time to it? Thanks

Hi, If I'm doing 2 hours each night "studying", what does that entail? I've heard that usually they make the weekends about revising past content, though during the week they usually advise to study. What should you be doing in your study time (note making, revising class that day, practice...

Hi, For MX2 what calculator should I get? I'm currently thinking the Casio FX100AU Plus Thanks

Hi, I'm in prelim and our teacher taught us Market Failure and then went on to talking about competition policy. Are they linked? I can't see the connection. Thanks

Hi, Do you guys separate your math books, one for 2 unit, one for MX1, and a separate one for MX2? Do you have a notebook filled with silly errors you've made, so that way you can be aware of them? A separate notebook for notes and for questions? A notebook for extra hard questions? Thanks