Archive for the 'Maths' Category

June 24, 2005

Hurrah! Results are in

Got a 1st, with a Seymore average of 75%. Here’s a breakdown:

  • Analysis III: 55%
  • Algebra I: 68%
  • Mathematical Methods II: 97%
  • Partial Differential Equations: 74%
  • Modelling Nature’s Non-linearity: 79%
  • Algebra II: 58%
  • Vector Analysis: 60%
  • Metric Spaces: 75%
  • Differentiation: 59%
  • Essay: 78%
  • Variational Principles: 88%
  • Numerical Analysis: 99%
  • Number Theory: 77%
  • Introduction to Fluids: 61%
  • Fortran for Scientists: 85%

Hurrah and all that. Off to get drinks. Be back later.

5:56 pm | Posted in Exams, Maths, University | 3 Comments » | Show comments »

Crap.

Sitting the maths department, waiting for my results. Haven’t been quite this nervous in a while.

Crap.

2:25 pm | Posted in Exams, Maths | No Comments »

June 23, 2005

I keep missing days

I could’ve sworn that I’d blogged yesterday. Oh well.

In site-related news, I’ve begun doing the changes I stated in my previous post. However, for the time being, they’re on hiatus - I’m not planning on doing any major projects any time in the next six months or so, hence I just got the feeling: “I can do this, but not just yet.” Too much going on at the moment for me to concentrate, really, and I don’t want programming to take up my entire life.

It’s results day tomorrow; I’m both dreading it and looking forward to it. At least I’ll know where I stand tomorrow, and that can only be a good thing. Checked my pigeon hole today, and got the new booklet entitled “Are you ready for Term 1?” Basically, it’s a list of introductory questions for a variety of courses taken in Term 1. Measure Theory has the delightfully named section “High-School Horrors”, doing integrals like:

I find it all rather intriguing really, since I’ve been wondering about these integrals ever since lower sixth form. But yes, I’m quite looking forward to the third year. I feel that I’m really going to get my teeth stuck into some interesting maths.

Interestingly, there’s a great big open outdoor Gala concert right outside maths which I’m planning on going and watching in a few minutes from the comfort of maths (there’s no chairs outside). Should be good fun, and there must be a thousand people all crammed onto the maths lawn. Brass Band, Wind Orchestra and the Symphony Orchestra are all playing - I feel that I should really re-join the Wind Orchestra since it was quite good fun. But we shall see how much time I have next year.

Anyway, time to go and beat some servers. I shall be back later.

9:24 pm | Posted in Exams, Maths, Personal, University | No Comments »

June 19, 2005

Whoops (again)

Forgot to post for the past couple of days. However, I do have rather a good reason for it. In fact, I have a very good reason for it: namely GTA: San Andreas which has just been released for PC. It’s rather a good game, and has taken up pretty much two entire days of my existance to get somewhere near completion. The map is so incredibly large, and there are so many things to do that I think I may have to spend at least the next week or two trying to get to the coveted 100% mark. Oh, what a hardship.

In other news, I get my exam results on Friday which I’m currently not looking forward to. So, in order to keep my mind off it I’m going to work on the site a bit (as well as playing GTA). I haven’t got around to doing anything yet, but I’m going to try and get the Mandelbrot set generator up and running in the Projects section today. It’s a pretty cool program, but I need to optimize it and generally get it to work better. I do have a minor problem in that I forgot to set the precision of cout and cin; by default, it only reads in numbers up to about 7 decimal places, so you can’t get most of the interesting shots.

I’m also not sure as to whether I should get the Photos section back up or not. There are a lot of photos - last count, over 500 - and although I have more than sufficient bandwidth for now, I can’t help but wonder what will happen if the site takes off a bit. I’m also considering putting some kind of Google AdWords on here, but at the moment the pendulum swings towards “no”. For starters, not enough people visit the site to make it worthwile, and I’m not sure that I could get them to blend in properly. I will only put them on if it doesn’t compromise the layout of the site.

The world of maths is looking quite diverse for next year. I’m considering what modules to do for next year, and this is quite a hefty challenge - the sheer number of courses on offer makes it quite hard to make my mind up. Like most other universities, we’re allowed to choose a variety of modules in the third year, totalling 120 CATS (module points) or more if we desire. Most of the third year modules are worth 15 CATS each, and the fourth year modules 18 CATS. Now, assuming that I actually get on the MMath course - which I really hope I do - I have to take two courses from the fourth year modules. At the moment, this is looking like it’s going to be Manifolds, since it’s needed for so many other 4th year modules and a choice of either Lie Groups (taught my my tutor) or Mathematical Recipies, which is more of an applied module.

My worry at the moment is that I’m not sure which “route” I should be taking. This year, I pretty much took a 50/50 pure/applied route. However, I’m finding myself inextricably drawn towards courses that concentrate mainly on the pure. I find that they’re extremely interesting and, for the most part, make me work harder on them. Metric Spaces went really well for me - it was a really nice exam, and although it didn’t have the same insane marking that it usually does for definitions, it had interesting questions that made you think, but were still managable. I have to also admit that the applied courses are also interesting, but my concern is that I’m going to screw them up, and I don’t quite have the same understanding that I do for the pure.

Of course, the other issue here is my postgraduate opportunities. Again, assuming I get onto the MMath and I’m finding the 4th year work enjoyable and I can cope with it, then I’d quite like to do a PhD. Even if I didn’t actually go on to do research and other insane mathematics then it would greatly increase my job opportunities. However, that’s a good two years away yet; not to mention that if I don’t get on the MMath, all of this talk is a complete waste of time.

Anyway, I think that’s enough for now. I’m going to concentrate on SFN now, and try and catch up on the backlog of posts that I have to moderate. Woo. See you all later.

3:13 pm | Posted in Computing, Maths, Personal, SFN, Site Development, University | No Comments »

June 15, 2005

And now, the boredom

Yes, so now I have finally finished the damn second year, the sheer, unadulterated boredom has set in. Yesterday was fairly dull, but it was pretty cool. Ended up going to the Bull Ring and then going off to visit the Apple Store. I have to say that I find the PowerBook G4’s particularly appealing, and I’m seriously considering buying one. Got a few things, but nothing of great significance.

Today, I spent a long, long time in the Projects section trying to finish the entire site off. Finally, finally, finally it’s finished, but I just need to populate the thing with some decent projects (there’s a fair few). Tomorrow, I’m going to do the People section, and then the registration form. After that, if I’m feeling really lucky, I’ll re-create the photos section in the spirit of the site.

On the maths front, I’ve been reading up on Galois Theory (a module I’m taking next year). It looks to be fairly interesting; basically, covering questions such as for which polynomial does the equation yield a formula for the roots? You can do it for all quadratics, cubics and quartics, but quintics can’t be done. All in the quest to be prepared for next year’s courses.

Anyway, back to the coding. I shall perhaps start the People section now. Hmm…

12:28 am | Posted in Computing, LaTeX, Maths, Site Development | No Comments »

June 11, 2005

Six down, one to go

So, I’ve now had another two exams! Woot and all that jazz:

  • Vector Analysis:
    This was great fun - or not. The questions weren’t exactly hard, but answering them in the allocated 2 hours was pretty much impossible for me. There were some interesting questions on there, though; for one, we had to work out:

    The answer turns out to be . Just in case you all wondered.

  • Metric Spaces:
    This went so much better than I expected that it actually scares me. There was an absolutely wonderful question on closure; basically, if with B closed, then . Then some other random things, and it all turned out good.

So now, I have only one exam left; Introduction to Fluids. This one I’m kindof dreading quite a lot, since I think it could be really nasty. However, I’m just going to play it by ear and see how it goes.

Now I’m off to eat some food. More blogging funness later.

1:16 pm | Posted in Exams, LaTeX, Maths, Revision | No Comments »

June 10, 2005

Two hours to go…

…until the Vector Analysis exam. I really hope it’s going to go well, because I think I could use the marks this time around. Will report back in a bit, I suppose.

11:54 am | Posted in Exams, Maths | No Comments »

June 9, 2005

IE + PNG Transparency = Fun, fun, fun…

So, I was looking at the rather nice LaTeX that I’d generated last night, and figured that I’d check how it looked in IE. The answer? Not good. You see, I’d forgotten that I’d set up the LaTeX script to generate PNGs instead of GIFs, which is bad for IE because it’s a big retarded pile of poo and doesn’t handle alpha blending at all.

But there is a fix, thank goodness. So, for any of you web developers out there that haven’t already found this, take a look at the IE PNG fix. It’s basically a neat and easy way of fixing PNGs so that you get proper alpha blending. So now I’m able to properly put a nice little alpha layer on the PNGs in the LaTeX code, and people are still quite able to see them. How nice. It uses the DirectX filtering control which means you won’t mess up your CSS and by using conditional commenting, only IE users will have to go the extra yard to download the JavaScript. Hurrah!
Meanwhile, I’m in a Vector Analysis kind of mood; it’s a pretty cool course, covering both some vector calculus and, also, some complex analysis. I have to say that I find it quite enthralling to work out integrals like using contour integrals; it’s all quite funky.

Anyway, I’m going to fix a few things on the site, and then get back to revision. I shall return later with more things of a posting nature.

1:42 pm | Posted in Computing, Maths, Site Development, Web Development | No Comments »

The evil math has arrived!

Hurrah, LaTeX is installed. Now I can write such prettyness as:

It had to be done.

Edit: having just posted that, it looks rather nice, and it seems to fit in quite well as well. Here, have some more:

Cauchy Integral Theorem:

Fourier Transform:

You know you love it really.

2:29 am | Posted in LaTeX, Maths, PHP/MySQL, Site Development | 1 Comment » | Show comment »

June 8, 2005

Lists and other assorted goodness

Got around to putting lists on here now.

  • Now I can talk like this
  • Over and over
  • and over and over…
  • And make everyone really annoyed and leave

So yes, that was fun. Also, I got my essay back today with no mark, but a nice comment:

An excellent essay, written well on a challenging topic.

This was nice, because I did actually put a lot of effort into that topic. For those that didn’t know, my essay was entitled “Chaotic Systems and Strange Attractors”. As is usual with me, I decided to LaTeX it all, and I’m contemplating putting it up on the interweb for scrutiny. Without wanting to blow my own trumpet, I do find the essay quite interesting, and that was always my intention. It doesn’t have all that much maths in it, but you’re going to need your head screwed on when you read it. Maybe I’ll post it up later, when I get back.

I’m still in the maths department though, which sucks. Sarah’s at the Arts Centre tonight, and the thing she’s seeing is a play, performed in Russian with surtitles at the top for those who don’t speak the language. It’s 3 hours long (eek) and has an after-show performance. I got a SMS from her, informing me that she’d be finishing around 11:45pm. So, looks like I’m here for another hour then. Maybe I’ll blog some more in a bit.

10:42 pm | Posted in Academia, Maths, Site Development | No Comments »