Download the exam: http://www.maths.manchester.ac.uk/media/eps/schoolofmathematics/study/undergraduate/informationforcurrentstudents/pastexaminationpapers/scriptviewing/MATH20101.pdf

The course lecturer sent me the following link to online notes and exam feedback…

http://www.maths.manchester.ac.uk/~cwalkden/complex-analysis/

Topics covered in this pure mathematics exam are real and complex analysis including limits, intermediate value theorem, differentiability, smoothness, cauchy-riemann theorem, complex trig functions, line integrals and residue theorem.

This would be a 2nd/3rd year undergraduate math course.

Also please forgive the audio for some parts, a parade literally walked past my room whilst I was trying to film this.

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It looks intimidating but complex analysis is pretty cool because complex differentiable functions are always analytic, which makes them easier to work with. There are also a few clean formulas which help you take integrals over closed curves with singularities inside without having to actually do the work. It's useful.

Ou, why does it so easy? I was thinking that uom have much more hard exams. Russian 11'th academic form student are able to solve that)

I only know how to do A3, the rest idk

I am quite surprised to see that all those questions are really easy at least for me.. And I am a high school student… And we do pure maths in class.. Greece btw

Are you from Australia?

Can you solve my love problem?

this is quiet an easy exam compared to the one i had to do

Cool stuffs

I study advanced control and systems where can i get the exam simples for this couses in master degree

i have no problems with maths, only with some of these questions.

What? Talk in human language please

Most of the stuff you've shown in the A section is what we've been dealing with this year in high school. However complex analysis was removed from the teaching material two years ago. It's pretty fucking difficult at first but once you get to understand how these theorems work it's a matter of time before you can solve anything that comes to you.

Well actually doesn't seem that bad

Wonderful math problems. I did many of them when I studied my Math course on my first year of medicine. Actually, it's not as difficult as it seems. You just need to know limits, practice and do lots of problems. It could take a little bit of time to dominate it. In my case, It took me three months learning by my own all of these (unfortunately, I had no good education). Whoever wants to learn more about that, I would recommend a book called "Análisis Matemático" by Armando Venero (you can download free on internet). Despite the Spanish language, this book only uses mathematical expressions, which makes it understanding for everybody. Also, it has thousands of problems from russian mathematics which I consider the best to learn this topic (trust me, if you resolve easily Russian mathematical problems, you'll know all kind of problems). Maths could be very hard, but you never don't give up, keep trying again and again.

When I took Analysis 1 this is exactly what my homeworks looked like. All my friends told me class was an easy A, but they took it with a different professor. I decided to take it with this new guy, and as soon he started lecturing I was like: "what the fucking fuck is this bullshit?!" . I thought I was learning chinese for one moment.

And I think my sats are hard…

Proposing that there are not many applications for real analysis is a bit absurde. To be a bit pedantic, a function that is complex differentiable does not need to be holompthic, but the reverse implication is always true ;). But a quite reasonable and doable exam.

Hi Tibees,

I have just recently become very interested in the study of philosophical linguistic and logic. I'm currently reading Wittgenstein's Tractatus and much of its contents have alot to do with Logic and mathematical foundation to prove the limit of language. I'm obsessed with it despite not having any previous formal education in neither Applied Math nor Pure Math (I'm 23 and my academic background is Architecture). I just picked up a book called Principia Mathematica by Whitehead&Russel, and I can't wait to start using that book as my tutor.

My questions are; 1) Is it necessary/useful for me to take Pure Mathematics at Uni if my objective is Philosophy, and not Science. And how hard is the course for an mathematical immature like me? 2) Do you know any good university in Australia to study this?

One fun physics-related application of Cauchy's theorem in complex analysis is the evaluation of the complete Fresnel integrals.

ahh the memories…

Complex Analysis

Shit both your knowledge and appearence is so attractive

this seems more like a 2nd year undergraduate exam paper on analysis. a lot of the theorems proved in real & complex analysis are much more rigorous and challenging than this paper.

Proofs are fascinating but so difficult for me…

Fucking delta-epsilon!! ACK!!! I am first year calculus and delta-epsilon is one of the most confusing things I have done…..though its also the mechanism for proving nearly all of calculus and lots of other maths. :-

I'm taking discrete structures right now, makes me glad I'm not a pure math major, proofs can get super bland

I am mathematically illiterate and idk why I am here, but I guess because you are so attractive.

This doesn’t looks that hard