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spice girl: I don't really know what I'm talking about with Terry Lee, because I only flicked through his textbook at a bookshop. I shouldn't talk about stuff I don't know about :) The hard problems I saw were those about functional equations, like find f(x) if f(x+y)=f(x)+f(y) although...

I've thought about it a bit more. Four unit maths gets hard if you: 1) Don't understand the ideas, or 2) forget the ideas, or 3) haven't practiced (do lots of different types of problems... especially hard ones), or 4) have problems with skills: a. Algebra (can you say 'silly...

...when you have exams :cool: Everyone has their own problem topics, and it changes from person to person. Hardness is a relative thing. And maybe, some parts of the topic you might feel are easy while other parts of it are hard. *shrug* But having said that, the questions that most people...

Advanced Mathematics by Terry Lee might help. I haven't used it, but I've flicked through it at a bookshop and it looks very promising. There are easy questions, hard questions, strange questions (need those, they ask them in the HSC) and past HSC exam questions. Even better it's got fully...

Before you freak out... To anyone reading this who is doing 4U this year: DON'T PANIC!! These power series are not in the course!

Heh, it's the damndest thing, all I need is the power series for inverse sine! put x=4/5 and voila! :D

Fraction or surd? Well I might have a way to start... Using the power series for sinx, (big image sorry) Let sinx=4/5 Solve the polynomial (I don't know how! :) ) and one root will be the value we want. Thing is, you'll also get an infinite number of other solutions, because a...

Installing a new system will mean some disruption, so you can talk about * how long before the system will be operational after its installed * time - how long it takes to install the system *r isk of failure.. and how failure will disrupt the system and compare how much disruption different...

They should only ask at most a 3-mark question about this, so 3 points on what your specific guy did should be enough. Tsiolkovsky was a theorist (ie. didn't actually make rockets, but designed them). He: used the Law of Conservation of Momentum to show that a rocket can move by ejecting...

Ummm.. common sense stuff that you can make up in an exam. Let's see: Testing - is it well tested, will it fail? (failure is bad for things like hospital life support systems). Pilot is good as a final test of the system. Money - Time is money training - how much needed, how much would...

And if you see difficult problems, don't say to yourself "No way I'm doing that!". Treat it as a challenge and have a good stab at them... I guess the main thing is to "trust your intuition" or gut feeling, especially in exams. The most annoying thing, I find, is to come out of an exam and...

Yeah, the generations were in the preliminary course. You could talk about generations to "Explain reasons for the emergence of the logic/object-oriented/functional paradigm". SO if you use it, it would show you are "synthesising" information - which is the highest level of human thought...

1. Enjoy maths, I mean how can anybody not :) There's a real joy in solving problems (or at least a grim satisfaction after you've waded through algebra), and if you enjoy four unit, it all becomes easy. 2. Do past HSC papers - LOTS! I'd do past HSC papers before I do other school's trial...

Whoa! Be careful, the syllabus for this topic doesn't deal with generations of languages, but with paradigms. So if you talk about generations (like 1st, 2nd, 3rd...) in an exam I'm not sure you'd get marks.* * EDIT: I'd now say "You wouldn't get marks talking about generations if the...

Let u = 2x+3 du = 2 dx dx = du/2 Change the fraction into a power to make things easier: I = (2x+3)^(-3) dx Substitute u I = u^(-3) du/2 Integrate and you get u^(-2) ----- -4 Maybe you forgot it was du/2 and didn't multiply by 1/2... Plug back in u=2x+3, and there you are...

Hi, I'm thinking of doing a combined degree at UNSW next year in Science/Arts. I want to know if a combined degree is just like doing the two degrees side by side, that is, is it double the workload of a single degree? (By workload I mean the number of "units of credit" each year). Or do you do...

definitely learn it! It may not be in the syllabus, but I've done many Trial HSC papers where they ask similar questions, and this year's HSC had one too (Question 8, (a)(i)).

Well.. in this year's exam there were some tricky calculations. Though I guess you could rote learn all possible "types" of calculations from a textbook. Or just look at the formula sheet in the exam and blindly try them all.. that usually works, sadly :)

I think (?) weightless is where there is no reaction force to balance our weight. If our weight (the "g" down) is balanced, we don't feel weightless. Think about it: standing on the earth, we feel a "g" down, and the ground gives an "a" up to balance it - no resultant force, but we don't feel...