Had my last ever lecture yesterday. Not quite sure how I feel about that, but I'm definitely ready to move on to bigger and better things.
Went to my first lecture in Princeton on Thursday. And my first IAS number theory seminar. And met MANJUL BHARGAVA. DUDE MANJUL IS THE BEST. He has mad**** crazy great ideas. The actual number one most ridiculously creative, ridiculously modest, ridiculously great human.
Well I think it's the amount of content and understanding of proofs I'm working through the weeks (9 in total) and being ill for half of the term didn't help in terms of knowledge gaps. I have also spent longer on certain proofs then I anticipated (for example, limits of supriums and certain subsequences). It's my last exam (31st May) but I realised that I will have to finish all the content by Wednesday so that would give me enough time to work on other modules
I'm quite scared and considering that I want to do postgrad (well a masters at least), I don't want Analysis to haunt my transcript
Well I think it's the amount of content and understanding of proofs I'm working through the weeks (9 in total) and being ill for half of the term didn't help in terms of knowledge gaps. I have also spent longer on certain proofs then I anticipated (for example, limits of supriums and certain subsequences). It's my last exam (31st May) but I realised that I will have to finish all the content by Wednesday so that would give me enough time to work on other modules
I'm quite scared and considering that I want to do postgrad (well a masters at least), I don't want Analysis to haunt my transcript
Things like Bolzano-Weierstrass? Try the first volume of Zorich, chapters 3-6 (skip over the stuff you don't need). Its clearly written so that might help, if you don't have a decent set of full notes.
If it helps, I found Analysis really hard until something clicked. It is a new way of thinking than what you're used to, especially if you're not a pure mathmo!
Finally, some perspective: no one will care about one module mark being lower than your usual marks. Not one university. Try your best and see what happens
Well I think it's the amount of content and understanding of proofs I'm working through the weeks (9 in total) and being ill for half of the term didn't help in terms of knowledge gaps. I have also spent longer on certain proofs then I anticipated (for example, limits of supriums and certain subsequences). It's my last exam (31st May) but I realised that I will have to finish all the content by Wednesday so that would give me enough time to work on other modules
I'm quite scared and considering that I want to do postgrad (well a masters at least), I don't want Analysis to haunt my transcript
Things like Bolzano-Weierstrass? Try the first volume of Zorich, chapters 3-6 (skip over the stuff you don't need). Its clearly written so that might help, if you don't have a decent set of full notes.
If it helps, I found Analysis really hard until something clicked. It is a new way of thinking than what you're used to, especially if you're not a pure mathmo!
Finally, some perspective: no one will care about one module mark being lower than your usual marks. Not one university. Try your best and see what happens
I think cpdavis is in his second year, the notes you've attached Shamika is the first analysis course from the first term in Oxford. I've attached the links to the notes to the other two first year analysis courses and the second year analysis course - so whatever you're currently doing should be covered in one of these notes.
Analysis III in first year is to do with integration, but the notes aren't uploaded yet (since it's taught in this upcoming term) - I do have the notes somewhere though if you want them.
I think cpdavis is in his second year, the notes you've attached Shamika is the first analysis course from the first term in Oxford. I've attached the links to the notes to the other two first year analysis courses and the second year analysis course - so whatever you're currently doing should be covered in one of these notes.
Analysis III in first year is to do with integration, but the notes aren't uploaded yet (since it's taught in this upcoming term) - I do have the notes somewhere though if you want them.
Thanks The Second year analysis is our complex variables course (but the actual reasoning gets covered in third year). The first link I will use. Thanks!
Special Relativity and Electromagnetism, Space Time Geometry and General Relativity, Rings and Modules, Elementary Number Theory, Topics (Includes Game Theory, Distribution of Prime numbers and either Markov chains or time series (not sure what one to pick yet)), Introduction to Quantum Theory, Mathematical Theory of Collective Behaviour and Philosophy of Physics
What the hell is collective behaviour? Otherwise that's a pretty awesome set of modules. A lot of work though, Relativity = evil
Probably math bio - Verhulst equation, epidemiology, that kind of stuff.
I'm not sure whether I want to do a PhD in the States, or indeed in maths full stop. I've got a few things in mind to do instead, but nothing definite.
What the hell is collective behaviour? Otherwise that's a pretty awesome set of modules. A lot of work though, Relativity = evil
IIRC, it's the study of large groups in particular environments and the properties of the group (so the pattern of disease spreading for example).
I've prepared for my next year to be difficult, however I think that I can do it. I can see my tough modules being the relativity ones and Rings (although I do like both of these )