ms221 tma01 – panic reducing

Thankfully I’ve managed to crack through drafting the solutions to TMA01, so i’ve only got to type it up now.

All went pretty well, managed to do most of it just referring to the handbook. I’ve decided that getting to know the handbook inside out is probably a strong key to passing the Exam in October. So from now on I’m going to use that for most of my reference.

Did like that a number of questions have a ‘check’ built in to them, so you can tell if your solution is right. Helps build some confidence up, as I don’t think it’ll help in the exam to be constantly putting figures back into solution to check.

Got myself well and truley tied up in knots with Question 6, just could not see where I was going wrong. then a little light bulb went off in my head and it worked. And thanks to Wolfram Alpha for giving me a means of sanity checking the answer (and myself in the process).

And I’ve worked out how to do the transformation stuff in LaTeX as well:

r_{\theta}\colon \mathbb{R}^2 \rightarrow \mathbb{R}^2\\(x,y) \mapsto (x\cos\theta-y\sin\theta,y\sin\theta+x\cos\theta)

Though obviously, better aligned in a proper document :).

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