Book of Proof

Richard H. Hammack

For sale by Luke for $50

MAST20026 - Real Analysis Notes

This is a comprehensive compilation of information from MAST20026 lectures, the textbook, tutorials,...

24 pages, 5923 words

Ben

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Stuart

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Maths Graduate with First Class Honours| 5 Years, 3000+ hours of tutoring experience| 99.80 ATAR| Fr...

Ben

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Blake

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▪Free trial session available. ▪Qualifications: Master’s in Pure Mathematics; over 8 years of tutor...

Kevin

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Hoan

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Reviews

99% of this subject is just: given any epsilon > 0, find a delta > 0 such that an inequality holds. Exam was tough but the assignments were spaced out well.

Anonymous, Semester 1, 2024

Fantastic subject! This is the first math subject that takes a deeper look into calculus and intuition. You will deal with lots of epsilon-delta stuff but no worries as if you can get the visualization everything will be natural and doable! Assignments and exams were fair although the lecturer had a hard-to-hear accent!

Anonymous, Semester 2, 2022

Chris Duffy is legitimately the best lecturer in this university, at least from my experience so far. He definitely makes this subject highly accessible to just about anyone who wants a deeper look into calculus (and also other very fun and fascinating notions as well). I'm a computer science major, and while I love computing the most, content-wise, I found all computing subjects in this uni to be vastly inferior to Real Analysis as an experience.

Anonymous, Semester 2, 2021

If Chris Duffy is teaching this class in future, you will really love this class. During the COVID semester we had he modified his lectures to short videos. Not sure if this would be possible when we are in person and there are 3x1hr lectures but I'm sure he would still make it work. The class is very interesting if you enjoy pure math. If you are doing math to a science you may find it the most tedious class you've ever taken.

Anonymous, Semester 2, 2021

As said below, Chris was a excellent lecturer. His style was 3 short 10-15 min lectures a week followed by ~3 hours of reading the textbook/notes that he made for the subject, so by the last lecture you have read the whole 250 pg document! From my experience in this subject and the Phil of logic subjects this method works very well as you have to actively read instead of passively listen. The teaching team also taught RA very enthusiastically and holistically. They wanted us to have a general grasp over the content instead of ensuring we knew certain algebra tricks. They introduced us to the beauty of maths and to some complexities in the mathematics industry (one great initiative was having 25% of each assignment responding to an article about maths in the industry). If you like conceptual mathematics, you will find the content very interesting. Instead of plugging and chugging in calc 2, you are tackling the big questions of mathematics and philosophy: What is true? Where does maths start? Why is something the case? Best subject so far and im about to finish degree in 3rd year CS.

Anonymous, Semester 2, 2021

Chris Duffy is the best lecturer at this university period. So do this when he's teaching it!!

Anonymous, Semester 2, 2021

If you do this subject when Paul is the lecturer/coordinator, be prepared to be thrown in to the deep end. He really just tried to see how much he could bend us with rather difficult assignments. Exam was moderate though and I believe it was scaled a bit too. I know many people apart from myself who found his teaching methods confusing and sometimes felt like he was unsure of what he was teaching. However, he did explain some concepts/theorems really well. Doing this subject straight from Linear Algebra/Calc can be a challenge as it is your first encounter with proofs and is not a subject where you have standard steps to follow. It can be quite confusing at first, but with practice it’ll become clearer and when you finally understand it, it’s beautiful. It’s definitely a subject that demands a *large chunk* of your time and dedication. David Batt was the best tutor ever and massively aided my understanding for this subject. He tried his best to guide us on Paul’s bizarre assignments. Solid 10/10 tutor!

Anonymous, Semester 2, 2020

It isn't exactly fair to say Real Analysis is difficult, it is just different. This subject is based on rigour and requires you to have a sound grasp of the idea behind the theory. Many including myself find it a big jump from first-year subjects such as calculus 2 and linear algebra, where you can get away from "following procedures" and rote learning methods. Real Analysis requires you to be creative and comfortable with formulating logical arguments yourself. The subject is essential for maths majors, particularly those with interest in pure mathematics.

Anonymous, Semester 1, 2020

Barely passed this subject!!! Ensure you well prepared memorising proofs, theorems etc. besides calculations you be fine. This subject can not be ignored if you're majoring in maths, physics or mathematical physics.

Anonymous, Semester 1, 2019

Back when I took Real Analysis, it was kind of boring, because it was almost entirely on pure maths theory without much application. Sure, it would have been great if I wanted to pursue a maths career, and I've used some of the material here and there over the years, but not much. Most of the useful things I've learned could have been gained from reading a textbook, such as various methods for mathematical proofs. It's entirely possible that the course has changed though. (I took this subject in semester 1, 2013, 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