As other people said, yes a fast-paced subject, but well worth it. Jan De Gier was the lecturer for this year, honestly a very good lecturer and made concepts quite clear, often providing further insights into the content by alluding to later subjects - something that I found was also prevalent in AM1. The hardest part is really the first 4 weeks or so as here you need to get comfortable with a lot of the epsilon stuff (real analysis). The calculus 2 part (integrals, differential equations, series) is much more laid back and is a good break from the real analysis. Now I suppose if you want a deeper insight into real analysis then it may serve you better to do calc 2 advanced + real analysis advanced since RAA goes a deeper than RA/AM2 (the RA content is equivalent to the real analysis content in AM2). There is a lot of theorem memorisation but a lot of this just comes naturally with applying the theorems. The first assignment was definitely on the harder side as far as being rigorous and the marking was harsh, but the second assignment was mostly calc 2 oriented with just a bit of the RA content so it was fine. MST was somewhat on the difficult side but seemed to scale anywhere from 5-10% ish. Exam was reasonable, a couple of tricky parts but overall nothing crazy, but not easy either.

This subject is very fast. I think Barry is a great lecturer, but for first-year, I really think it's worth taking the non-accelerated stream (especially for pure maths!). I felt like I didn't really have time to engage with the content whole-heartedly, but rather it was constant cramming and memorising different theorems. It's up to you, but if I were to do my degree again (as a pure math major), I would not do the subject and take calc/lin/real over a year and a half.

Initially hated this subject and nearly dropped it, but so glad I didn't. Lectures (especially in first few weeks) were very difficult, but with a lot of effort things will start to fall in place, enabling you to answer tutorial/test/exam questions (which are nowhere near as difficult as the hardest lecture examples). Lots of stuff to remember for both the real analysis and calc 2 sections, but this comes a lot easier with understanding. If you truly love maths you will find this to be a beautiful and fascinating subject (albeit a very difficult one). Also, made my life a lot easier as an actuarial and concurrent maths diploma student, as it counts as both real analysis and calculus 2 in terms of prerequisites.

This is a very fast paced subject. I had Barry Hughes as my lecturer, who was excellent but also did almost everything on the chalkboard which means that you really shouldn't miss any lectures. It's a very rigorous subject with many proofs. The exam overall is easier than the assignments and the mid-semester test

Don't fall behind. Just don't. The content is a significant step up conceptually and intellectually compared to anything you've done before. Make sure you understand how EVERY proof works (maybe not details, but at least the general gist of things). The subject is manageable with enough respect and sufficient fear of cramming. It, however, is majorly rewarding as the subject content is enjoyable, stimulating and rewarding. Also, you don't have to do Real Analysis anymore, which is a major bonus for any maths or actuarial student.

With 4 lectures a week and content from both calculus 2 and Real Analysis to cover, this subject can become very difficult, especially if you fall behind. The lectures are recorded but the work the lecturer does on the blackboard (which is going through problems) is not recorded, hence you have to show up to most, if not all the lectures. The first two topics, sequences and continuity, are the hardest in the subject but if you can understand them then the rest of the subject is not too bad. The text has all of the lecture content in it and was written by Barry (the lecturer) himself. It is a must get and the questions at the end are good indicators of what he might ask on the exam. Unfortunately, there are no solutions, so if you are not entirely sure about your answers, it is best to consult your tutor or Barry. Like others have said before, Barry will often ask you to state theorems and definitions on the exam so it is best to spend some time getting your head around them and their proofs. All in all, if you are considering doing this subject it is great subject, well taught but to quote Barry "This will be the hardest maths subject you will do, because it is the biggest jump between what you were expected to know and what you are now expected to know."

This subject is very fast paced (4 lectures per week) and you may start feeling overwhelmed if you fall behind in lectures but it is a great experience and so worth it at the end! The textbook matched to the lectures is definitely required as they contain all the notes and practice problems for the subject - lecture slides are not uploaded as they are exactly the same as the textbook. I highly recommend making sure you go through each lecture thoroughly afterwards and make sure you understand everything as each lecture builds on the previous one. This subject covers part of Calculus 2 as well as Real Analysis (a level 2 subject). The topics include sequences, differential calculus, integral calculus, differential equations and series. You will probably find that the calculus section of the course is much easier and less rigorous than the Real Analysis section, which contains many proofs. When studying for this subject, make sure you learn all the proofs, or are at least familiar with them as they are definitely fair game to be asked in the exam. Same applies to all the theorems which you should memorise as Barry often asks you to state theorems in exams. There are a few past exams provided for this subject which really helps you understand what knowledge is required. Overall a great subject and I would definitely recommend it if you're keen to study higher level maths and enjoy a challenge!