Hello all,
I have a strong interest in advanced mathematics and want to take proof-based math courses beyond the usual multivar/diff eq/linear algebra sequences. I want to learn Real Analysis next, but I would much prefer taking an actual class (online or not) rather than just learning from a textbook. I wanted to take Real Analysis at Stanford OHS, but I think applications already ended so I am not able to. Does anyone know of another opportunity to take such classes online?
MIT Open Courseware has Real Analysis in the form of lectures and homework, but it’s not interactive/graded.
https://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012/
Johns Hopkins CTY has self-paced Real Analysis and Complex Analysis, if you’re a member, that includes a 1 on 1 instructor, live sessions, etc.
https://cty.jhu.edu/online/courses/mathematics/real_analysis.html
Some math departments suggest taking other proof-heavy math courses like discrete math, (proof-heavy) linear algebra, and/or abstract algebra before taking real analysis, because real analysis is often one of the harder upper level math courses.