Just as Ping asked, I'd like to write some explanations about my courses for this term.
Firstly,Dynamics is the only compulsory physics lecture this year. However, it is quite different from the mechanics course for natural science students. Dynamics basically covers the topics of mechanics and teaches us how to use mathemaitcal methods to cope with physical problems, which is an applied mathematics course. In Cambridge, there're 2 departments for mathematical science, one is pure mathematics and statistics, the other is applied mathematics and theoratical physics, where Stephen Hawking is a professor.
You might be interested to find out that there're quite a lot mathematics courses here, but actually, I think, they have litte difference from the faculty of mathematics in universities in China,(or maybe there're lots of differences, I'm not sure). For example, in China, I think the Vector Calculus, which is on the table below, you can see, belongs to analysis. It seems that every course belongs to Analysis in China whilst here, they are divided into several different course, one advantage of which, I guess, is that you will feel more clear about that particular area in mathematics. For instance, we've learnt double and triple integrations, operator identities, Green's 2 theorems, Stoke's Theorem and Laplace and Poisson Equation(which are 2 basic partial differential equations) in Vector Calculus. And I think the rest of this course in this term would be concentrated on Cartesian Tensors.
Analysis 1 is the first part of Analysis in China.(my Guess), which is basicallly about Weistrass thm, Mean Value Thm and so on and so forth.
Probability is another 1st year course, I don't intend to say something about that.
Groups, Rings and Modules is maybe the most difficult course to me this term. It is a 2nd year course, but we're recommended to take it this year and I also have supervisions for it. It feels really nice to take a 2nd year course, then, perhaps, I can choose some other courses next year. I've never read anything about groups theory before in China, so it is supposed to be difficult to me. The basic theory of groups have already been taught in last term's course "Algebra and Geometry". GRM this term at first discusses about Sylow's 3 theorems(If I were an examiner, I would definitely ask candidates to prove Sylow's theorems, I'm sure 99 per cent students cannot memorize that horribly long proof).
I'm really busy during the full term. I think I will try to write more in the near future.
