#
MAST30021

Complex Analysis

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### Reviews

Before learning the subject, I thought that complex would not be much different compared to real analysis. However, when actually studying, it has a huge difference and I turned out to learn numerous awesome stuff like the Cauchy Riemann Equation, Residue Theorem, Rousche's theorem, etc It has 40% proof and 60% calculation. The proof was tough at first as the ideas are all new and strange but you will get used to it. The calculation part will be easy once you grasp key techniques and typical examples. Sometimes it can involve lots of calculation steps and easy to make mistakes so be careful. It is nice to see some integrals can be solved nicely with complex analysis that real analysis can't. The lectures follow an old-school style but Paul knows his stuff and can explain some core ideas in the proof well. Assignments are fair with lecture summary (free mark!), calculation, proof, visualization, and challenge parts. The exam this semester is mainly about conceptual and calculations so it was not too hard and can scored well!

## Anonymous, Semester 2, 2023

Echoing some other reviews, this subject isn't really like real analysis (its still quite cool though!). I had Mario as my lecture and his passion really comes through. What I got the most out of from this subject is how we can bring a very concrete real-valued problem that is very difficult into the world of complex numbers to completely simplify the problem. Very interesting!

## Anonymous, Semester 1, 2021

worst subject I have taken. Avoid at all costs.

## Anonymous, Semester 2, 2021

From the name, I was expecting this subject to be a lot like Real Analysis, but it was much more applied (translate: useful). I now do research in quantum chemistry, and have to use the techniques taught in Complex Analysis on a semi-regular basis. The stuff on poles, Cauchy's theorem and Jordan's lemma were particularly useful. The lecturer was a little boring, but he knew his stuff. (P.S. I took this subject in semester 2, 2014, but that doesn't appear in the drop-down menu, so I'll select semester 1, 2017, which is the oldest option available.)

## Anonymous, Semester 1, 2017

This subject was genuinely beautiful and in fact, my favourite maths subject so far. HOWEVER, I found it difficult and although I ended up appreciating Barry by the end of the semester, I would recommend doing it in the second semester when he isn't teaching as to give yourself a chance at getting a better mark. Barry is wonderful (especially if you go to his consultations & all lectures) but he does not give any answers to anything and very much throws his students into the deep end (not always a bad thing) so you must stay afloat! I left this subject better at, and more appreciative of, mathematics.

## Anonymous, Semester 1, 2018

Complex Analysis is a very interesting and beautiful subject and Barry Hughes, in my opinion was an excellent lecturer. The Assignments were excellent at helping you learn the subject and the Tutorial exercises were very useful as well. Two things to keep in mind: - Much of the content of a lecture is dependent on results shown or proved in previous lectures, or even in Tutorial exercises, so make sure you keep up to date. - There is a lot of algebraic manipulation in some proofs that is left for you (and left off the lecture slides), and it's a good idea to go through it step by step in your own time. Also as this lecturer writes a lot on the whiteboard which isn't captured by Lecture Capture, you will miss a lot if you decide not to attend a lecture.

## Anonymous, Semester 1, 2018

Barry is a very different style of teaching, teaching in a belittling manner. Very hard subject

## Anonymous, Semester 1, 2017

This was easily my least favourite maths subject. Since it is required for maths majors, I would recommend taking when Barry Hughes is NOT lecturing. His style, persona and attitude to teaching make this subject much worse than it needs to be. He doesn't give out lecture notes in advance, or give any solutions to problem sets, tutorials or past exams, making it difficult to study. My tutor did his best, but he never had time to help us with all the tute problems, let alone the other problems. The one positive of the subject was that the assignments were a very good guide to what to study for the exam, and the feedback was above average.

## Anonymous, Semester 1, 2017

Barry is actually the best lecturer ever. He proves almost everything in the subject (everything except the Jordan curve theorem), he teaches the subject in a logical manner, he's funny and it's generally not hard to follow what he's saying outside his compulsive proofs of theorems (many of which you don't have to know in detail). Would recommend if you have another maths subject space open.

## Anonymous, Semester 1, 2016

The most beautiful math subject in uni