MAST20032
Vector Calculus: Advanced
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Reviews
This subject was amazing, one of the hardest but one of the most enjoyable subjects I have ever done. Highly recommend you take either real analysis or accelerated maths 2 before you take this because it is going to be a significant jump from other first year mathematics.
Anonymous, Semester 1, 2021
This is a very difficult subject, but for all the right reasons. You are asked to digest abstract concepts at light speed, but coordination was great and you have plenty of support to do so. You will come out the other side more "enlightened" having peered into mechanisms of mathematics that are hidden away in normal courses. I took it as my first math subject after doing a watered down calc 2 and linear algebra for high-schoolers, and I was fine after putting in a serious time commitment (I kept track, averaged 2 hours a day, every day). You may lessen the pain somewhat by taking real analysis or real analysis advanced concurrently since you'll be able to re-use the same kind of mathematical thinking. By doing this subject over Vector Calculus, you are signing up for also learning the rigorous, low-level machinery needed to define multi-variable calculus concepts, so before derivatives and integrals you learn about open sets, connected sets, sequences, Bolzano-Weirstrass theorem, epsilon-delta definitions of limits and continuity, so on. You will also see rigorous and surprisingly detailed constructions of concepts like arc length, and area integrals. In the end, this subject had both an applied and a pure math flavour.---- While the subject matter is daunting, it was an extremely rewarding experience. For those who love mathematics, this is the perfect subject. Even if you're unsure, I still recommend this subject. If things get too hairy for you, switching to the normal stream is an option. But if you stick with the subject, you'll be handsomely rewarded.