Benzoate said:
Why is your 4th year as a physics major more important than your other years as a physics major?
If you can get a high distinction in your 4th year then it's a demonstration you understand the relevant 1st year material pretty well. After all, you cannot do 4th year GR if you don't know what a gradient from 1st year vector calc is.
Benzoate said:
You mean to tell me that you can do excellent in quantum mechanics but perform average with all the rest of your courses and the graduation committees will overlooked the course you did average in compared to the A+'s you received in quantum mechanics?
The way the Cambridge maths (and I think physics) degrees work is that your grades are done as a total, not as individual courses.
For instance, in my 1st year I got something like 290/300 for vector calculus. I got 9/300 for probability. I didn't have to resit, because my total mark was high enough to do fine. Yes, it's great if you're good at everything but if you're going to do a PhD in theoretical physics, your knowledge in fluid mechanics or mathematical analysis doesn't have to be top knotch. Yes, you have to be familiar with some of the concepts but you don't have to be PhD level in everything.
The Cambridge mark scheme rewards excellent in one thing over mediocrity in 2. For instance, if you get, in a 20 mark question, 10~14 marks you get a 'beta'. That's 3 extra marks. So it's better to get 14/20 then 7/20 + 7/20. If you get 15~20/20 then you get an 'alpha'. That's 7 extra marks. And if you get more than 20 alphas across your 4 exams, you get 10 extra marks per alpha, not 7! So it's better to get 20/20 20 times (so 20*20+20*10 = 600) than 9/20 50 times, only 450, despite 9*50 > 20*20.
Benzoate said:
What about survey courses that you might take in your senior like subatomics physics and advanced astrophysics?
There are no required courses past the 2nd year. 3rd and 4th year you have total freedom. I did theoretical physics courses during my 4th year (QFT, Symmetries in particle physics, GR, String theory, The SM, Black holes, Advanced QFT). A friend who was also doing the 4th year in maths did things like Galois theory, Number Fields, Lie algebras and Rep theory etc. Another one did fluid mechanics, waves, acoustics, slow viscious flow, ocean dynamics etc.
I think if you do physics there's a synopsis paper but even then I think you only answer the questions which relate to the courses you took.
When it comes to the 4th year results, since you cannot take more than 6 courses you're expected to be nye on perfect at those 6. You sit exams in each topic you took in term (6 topics from more than 50!). But for 1st~3rd year the exams are done in bulk. You get a question paper with 1 or 2 questions from pretty much every course, answer what you like, as much as you like. Answer all the questions from 3 topics only, you could get a 1st. Answer badly questions from 15 topics, you could still only get a 3rd.
It's shifted towards quality, not quantity. Obviously just one perfect answer isn't going to get a 1st, but as my example with the alphas show, 20 perfect is better than 50 bad.
Oh and the 4th year as a maths student is a separate course at Cambridge. You get your degree and graduate in the 3rd year. Only half the year stay on as postgrads to do the 4th year.
Benzoate said:
Interesting. Unfortunately, it is not that way in the US. :-|
The outline of our courses I just gave is pretty much unique to Cambridge I think. But it does demonstrate that top unis for physics and maths aren't all about "You must be perfect at everything all the time". You must be perfect at all your subjects of relevence in the 4th year but you can get onto the 4th year with a bad 2.1 in the 3rd year and still get a PhD if you pull your finger out in the 4th year. A friend of mine did that.