# End of Term 2 – Year 2

So it’s the end of term, at last. I love being here but towards the end of modules, it all gets a little confusing; it is time that I go home and digest what I have learnt this term. So I’m sat here printing notes and the things I’ll need for when I’m home and get (dreaded word) revising.

So what have I been doing the past two weeks? Well I’ve had a lot of coursework and homework deadlines. I’ve had our simulation group project that I mentioned previously, a program that builds fractals, statistics B worksheet and a report on fitting statistical models to data.

The program that builds fractals does it by solving complex polynomial equations. A Complex number is a number that contains both a real and an imaginary number. An imaginary number has an i in it which represents square root of -1; don’t panic if you haven’t seen this, you will in further maths! So a complex number is something like 5 + 3i and my Polynomial is of the form (a+bi)X^2 + (c+di)X + (e+fi). The program then uses the Newton-Raphson (seen in Core 4) method to find a root within a tolerance. The program then colours the fractal dependent on how many iterations it took to get there! This all sounds quite complicated when I’m writing it down but I assure you it is quite simple. Please google Fractal and have a look for yourself and I will try and insert the picture of my final fractal – the fractal representing 2X^4 +2X^2 – i. Explore google and learn about fractals they are quite interesting and some of them truly are beautiful; who said maths couldn’t be beautiful?

So what work am I going to be doing over the holidays? I’ve got 2 pieces of coursework to complete over the holidays. One is another program that this time will find the determinant of matrices; some of you may have seen this in A-levels; if you haven’t, it is a number that has a lot of important properties relating to each matrix. For instance it tells you the increase in area after transforming a random variable among many, many other things. The formula for simple matrices, 1×1 – 3×3 is easy and can be done by hand but as they get larger the calculations become tedious and error prone. Probably a good idea a computer can do it then! So it’s my task to program the methods to do this. My other piece of work is to individually improve our group project for simulation (I will do a blog just on this soon!).

I will also be returning to the school that I work at this holiday for 2 weeks. I had some great news recently that the 9 students I taught in December/January all got Cs and one got a B. Absolutely great news and I hope that it will inspire them to continue on in education as a lot of them weren’t planning on that. This time, I will have 2 classes so more students and twice the prep! My role will be mainly to get them ready for their final exams and to rectify any basic errors students are facing. Often students pick up basic errors in dealing with fractions and algebra; it’s my job to pick up on these and fill in gaps.

So in between working, I will be revising. Fortunately I often have a few free periods and the school day is only 8.30am – 2.45pm so I have a lot of time to do my own thing. At some point, I will update my blog and let you know what I am up to. Thanks for reading.