MAT Prep Thread - 2nd November 2016

lmao i got 45

Why? And what questions couldn't you complete?

i didnt get question 3 and asked my teacher who said it was core 4 stuff.

i didnt get question 3 and asked my teacher who said it was core 4 stuff.

i didnt get question 3 and asked my teacher who said it was core 4 stuff.

question 4 i was sort of on the right track but ran out of time so scored lowly

and i sort of just failed the multiple choice, im going through it now though and getting a lot of the right solutions this time

Hi folks, I'm preparing for the MAT right now, for Maths and Computer Science. I'm doing a paper a week right now, which should give enough time to check things inbetween.

I'm in Scotland, and C1/C2 doesn't match up exactly with Higher. I'm just learning a few things during Advanced Higher (like sums of series and the Binomial Thereom), but is there anything that I'm missing that's not in Higher or Advanced Higher? I'm aware of the trapezium rule, and most likely periodicity of functions (like sin(sqrt(x)) has the waves get further and further apart), but I think I might be missing a few other things.

Hi folks, I'm preparing for the MAT right now, for Maths and Computer Science. I'm doing a paper a week right now, which should give enough time to check things inbetween.

I'm in Scotland, and C1/C2 doesn't match up exactly with Higher. I'm just learning a few things during Advanced Higher (like sums of series and the Binomial Thereom), but is there anything that I'm missing that's not in Higher or Advanced Higher? I'm aware of the trapezium rule, and most likely periodicity of functions (like sin(sqrt(x)) has the waves get further and further apart), but I think I might be missing a few other things.

Can I get some help on Q3 on spec paper A? (ii) onwards..

okay at first glance this question seems to be about how the minimum of a function may not necessarily be at the x value where $\displaystyle \frac{dy}{dx} = 0$ due to restrictions in the domain. (you may not have learnt what a domain is yet, its basically just all the x values the function can take)

so for example, if I asked you for the minimum point of $f(x) = \displaystyle x^2 + 4$ you would do $\displaystyle \frac{dy}{dx} = 0$ so $\displaystyle 2x = 0$, therefore $\displaystyle x=0$ and $\displaystyle f(0) = 0^2 + 4 =4$ so the minimum point is $\displaystyle (0,4)$

However if I asked you for the minimum point of $\displaystyle x^2 + 4$ but this time restricted the domain to, lets say, $\displaystyle 2 \leq x \leq 6$ you couldnt just use $\displaystyle \frac{dy}{dx}$ since x=0 doesn't lie in the domain.

I dont think there's a better way to do something like this other than to sketch it. So as you see from the picture I attached, with no restrictions on the domain just use $\displaystyle dy/dx$ for your max/minimum howeer if theres a restriction on the domain then you may need to just sketch it and go from there.

so just sketch the function with a value of p greater than 1, (do one of those tables with x values and y values if you really need to) and go from there.

Another hint if you need it below

https://www.maths.ox.ac.uk/system/files/attachments/test09.pdf
Q1, (D)

I thought this was a relatively straightforward question but I turned out to be wrong and I don't understand why the answer is C (I chose B)

I first summed the series and noticed it had this pattern:
+1,-1,+2,-2,+3,-3..

Seeing this, i realised that the n must be odd (so that it will make the -1^n positive) and then that leaves 1*101 which is > 100.
Could someone tell me what i'm doing wrong please

https://www.maths.ox.ac.uk/system/files/attachments/test09.pdf
Q1, (D)

I thought this was a relatively straightforward question but I turned out to be wrong and I don't understand why the answer is C (I chose B)

I first summed the series and noticed it had this pattern:
+1,-1,+2,-2,+3,-3..

Seeing this, i realised that the n must be odd (so that it will make the -1^n positive) and then that leaves 1*101 which is > 100.
Could someone tell me what i'm doing wrong please

i just completed the square

is the question 4 that was on the first page of this convo actually a part of the MAT?
the one with the stochastic differential equations

im running out of things to do, how are all you revising for this? I have too much time and not enough work

probably means you should chill out a little...