Today was quite the full day! I woke up at half past nine to the sweet sounds of repeated hammer blows. When I poked my head out the door, I saw that a caretaker had arrived to change the broken air heater in our laundry drying cupboard. Tried to doze a little bit, then got up at about ten. Since the exam was at three, I had a slow breakfast, read some news and chatted some while admiring the fine weather outside: Freshly fallen snow and sunshine. When Jorinde said offhandedly that it was a pity to sit inside on such a day, I asked if she had time to take a walk. Turns out that she did, but only on the condition that we spoke Norwegian, to make up for the lost preparation time for her Norwegian exam on friday. We ended up taking a marvellous two hour walk in the sunny winter Trondheim. Admire the pictures in the [url=http://www.stud.ntnu.no/~andrstef/pictures/]gallery[/url].
After we got home again, I just had time to have a light lunch (two pieces of bread, a pear and a glas of milk) before it was time to leave. On arriving in the lecture hall, I had to sign in on a sheet of paper, then take my place. The oddest thing was the paper we had to write the exam on: It is triple-layered. The upper, white layer is the main sheet. The middle, blue layer is a backup copy for the university. The last, yellow layer is a backup for the student. Well, I write with a fountain pen and rather little pressure, so reading the blue is torturous and reading the yellow is impossible. Should not be a problem though.
The exam itself was… a nasty surprise. We had three exercises: 1a)-b), 2a)-d), 3a)-d). 1 was about time independence of eigenvalues when your potential in the Schrödinger equation is a wave, 2 was about probability generating functions, something we had never even heard about, and 3 was about the Lorentz system. Sounded like tough stuff when I read it. Well, for the first ninety minutes it was. My argumentation in 1a) was rather shady, but fortunately I managed a satisfactory 1b). 2 required some major rethinking; I have heard of generating functions before, but not in the context of probability. It was like some huge, non-linear Markov chain, except in polynomial form. I managed a) and b) mostly by grace of some drawings, but c) and d) completely failed me. It didn’t help that I mistakenly thought the problem could be rewritten as a matrix multiplication, and spent twenty minutes trying to make that work. Fortunately, 3 was a breath of fresh air. There are a lot of complicated questions you can ask about the Lorentz system, but there are also a few simple ones, which were all we had to answer. Encouraged by this result (and by this time utterly annoyed by the inane triple-layered paper), I turned my attention once more to 2c)-d), and lo! enlightenment came over me. In the end, I solved each in less than five lines. Unfortunately, I was not able to fix my 1a), so I left it at that and handed in half an hour before the deadline.
Motivated by my surprisingly good results, I went home, packed my bagpack and walked straight of to Judo. Training is great after sitting in a tight chair for three and a half hours. We trained quite hard today, but other than being really out of breath at the end, it was great! I cannot match up to the more experienced higher belts, but I am sure that will improve with practice. Tomorrow I will resume learning for chemistry and sensors (not too hard, because those are rather soft subjects, to be honest). Today, however, I am going to be lazy.


