Maths Uni Chat

I've just completed first year at warwick, and we never got given any solutions. Maybe it's different for second years.

Does anyone want to start some new maths over the summer? I feel that if I had someone to discuss questions with then it might better motivate me. Some examples of things I want to learn are Complex Analysis, Functional Analysis, Measure Theory, Manifolds and PDEs. All at an introductory level.

Measure Theory is awesome and, in my opinion, one of the nicer things to self-teach out of that list. Personally I'm looking at Banach and Hilbert spaces over the summer (as well as Galois theory)

Cool. I think that Banach and Hilbert spaces are introduced in Warwick's functional analysis 1 course. I actually did my second year essay on Daniell Integration which is a different formulation of Lebesgue integration, so I know a little bit about measure theory. Is there a particular textbook that you would recommend?

Unfortunately I can't recommend a good text-book, I learnt Measure Theory through doing a Lebesgue integration course, and the recommended textbook for that is done in a Lebesgue integration setting (to be honest, I found the application of Measure Theory to integration through Lebesgue pretty boring - but loved the Measure Theory). I'd also be interested to know if anyone has any recommendations for a book purely on MT.

Yes I think our course is also mostly based on Lebesgue integration. What are some other directions that you can take Measure Theory in?

Hi sorry to come out of no where here, I just wanted to ask a few questions about studying maths at uni, basically I just finished my A Levels and I've already firmed and insured my choice for uni to study maths but I've just been having a few concerns. I haven't studied further maths and I was going to go over a few modules over the summer (for my own benefit) but due to some family problems I couldn't, and now I'm really worried that starting my degree will be really difficult and stressful (is a maths degree really as difficult as people say?)

So I'm thinking of taking a gap year to study further maths and reapply but I'm not sure if maths admission tutors will like it since apparently if you're apply for maths you're not supposed to take a gap year? I don't know I just read that in a few places and now it's worrying me ahah. What do you think though? If I'm doing further maths will it benefit me and put me at a better position when reapplying and when starting my degree? (I was also pretty limited in my uni choice due to lack of FM)

Also I'm an international student and taking a gap year is just very strange to me ahah, not something I'm very used to at all, I don't know of anyone in my school who took a gap year before so I'd really appreciate if anyone could let me knw if they took a maths gap year! Thanks in advance, any advice would be much appreciated!


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Really?? It's just that I've heard so much about how difficult it is. Also, the other reason I'm considering g a gap year is because I've been having some health problems and was hospitalised twice recently and need time to recover, so I though maybe the gap year and FM would help my application when reapplying? Also I would have more choices and tbh I'm not 100% happy with my firm choice soooo I'm just in two minds here atm :/

If I'm going to be honest, I'm not such a bad student and my grades are pretty decent, I just felt that the lack of FM really held me back in terms of what courses I could apply to and what offers I got. Also, I was really just going to settle with my firm and everything but then I started having health problems and really re-thought my decision and thought a gap year might be for the best? Idk, I just feel like I could've done better, and if I took up FM this year and reapplied maybe I could get into a better uni. Also I'd rather not have any health problems during the first year (even if it means taking the rest of the year off -I just feel like it'd be a waste you know).

Hello guys. I'm in Year 12 and going into Year 13.

I have an entire year left before beginning University, and the truth is, I am getting impatient. I really want to get started on University level Maths as it just fascinates me, and I can't think of any reason not to begin.

Anyway I've begun with the two books "Linear Algebra Done Right" and "Principles of Mathematical Analysis" and am reading them concurrently.
I have so far got through the first chapter of each, and after attempting the problems at the end I feel fairly confident, although these two chapters are of course introductory.

I am being as rigorous as possible and have been attempting to prove many of the theorems/propositions I have come across. Though this approach takes time, I do not want to learn analysis/algebra "the wrong way" as they are pretty much the fundamentals of all the mathematics I will learn.

I have the whole summer ahead of me, and am willing to spend a large number of hours learning mathematics. My only issue is that, I have at times come across difficulties and was wondering if I could be casually "mentored" by one of you more experienced mathematicians.

It will simply consist of the occasional clarification,help with a problem and any advice regarding textbooks.

Any response would be greatly appreciated.

So, anyone doing anything exciting or interesting lately?

I did a question yesterday that led me to the result of pi/4=1-1/3+1/5-... I've seen this result before, but I was pretty excited for it to come up in the question I was doing.

I think it depends on how much support there is in the form of tutorials/supervisions. I know some universities literally just release the solutions to problem sheets and that's the extent of the support whereas, at Oxford/Cambridge, we generally don't get the solutions to any problem sheets but obviously we have tutorials on them. Most universities lie somewhere in-between, but personally I don't find releasing the solutions to problem sheets being very helpful in getting to grips with problem areas

At Edinburgh in 3rd year (comparable to 2nd year in England and Wales) we had a weekly 4-on-1 session with a senior lecturer, these were absolutely vital for understanding concepts in the three core modules (algebra, complex analysis, and real analysis). Even better, it was practically 2-on-1 for our little group since two of the others hardly turned up lol.However in 4th year they didn't do that, because there were no core modules. There were course-specific tutorial sessions every now and then but they weren't very helpful and you were very much expected to go out and help yourself.

How many 3rd year students are there?

We had something like this last year (first year), but it was really awkward since people didn't like answering questions in front of others.