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Can I self-study undergraduate mathematics?
Self-study of university level mathematics is not an easy task, by any means. It requires a substantial level of discipline and effort to not only make the cognitive shift into “theorem and proof” mathematics, but also to do this as a full autodidact.
Can you learn all math on your own?
With the abundance of free information, lectures, syllabi, ebooks, and MOOCS around, you can certainly self-study Math pretty easily as if you were in college. The best part is, you do it at your own pace. No strict schedules, just self-commitment. Mathematics is all about cumulative knowledge, you know.
What is the first year of an undergraduate mathematics education like?
The first year in an undergraduate mathematics education is primarily about shifting your mindset from the “mechanical” approach taught at highschool/A-Level into the “formal systems” approach that is studied at university. Hence, there is a much more rigourous emphasis on mathematical foundations, including formal descriptions of sets]
How hard is it to learn mathematics on your own?
You can learn mathematics on your own at a high level. It is not that hard. Mathematics is an insanely complex subject, and any complex topic in the field of mathematics can be tackled with dedication and perseverance. Mathematics is unlike any other subject in the virtue that everything is already put in front of you.
Is it worth learning advanced mathematics at University?
One of the primary reasons for wanting to learn advanced mathematics is to become a “quant”. However, if your sole reason for wanting to learn these topics is to get a job in the sector, particularly in an investment bank or quantitative hedge fund, I would strongly advise you to carry out mathematics in a formal setting (i.e. at university).
Is it possible to self-study university level mathematics?
Self-study of university level mathematics is not an easy task, by any means. It requires a substantial level of discipline and effort to not only make the cognitive shift into “theorem and proof” mathematics, but also to do this as a full autodidact.