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ossu / math

🧮 Path to a free self-taught education in Mathematics!
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Replace OCW Real Analysis 2012 with 2020 version #28

Closed waciumawanjohi closed 1 year ago

waciumawanjohi commented 1 year ago

Thank you to @bgraham89 for pointing out the newly available version.

bradleygrant commented 1 year ago

No exception taken. This run of the course provides access to a textbook, which is one of the big sticking points in the prior recommended course. Also has access to full lecture videos and course notes. Overall, I think it's an improvement over the status quo.

aayushsinha0706 commented 1 year ago

What the course description says -

This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts through a study of real numbers, and teaches an understanding and construction of proofs.

What should be Cognitive goals of learning Real Analysis according to CUPM 2015

An introductory analysis course typically focuses on the rigorous development of properties of the set of real numbers, and the theory of functions on the real line. This includes the study of the topology of the real numbers, sequences and series of real numbers, continuity, sequences of functions, differentiability, and Riemann integration.

I guess the course is sufficient enough in content according to CUPM 2015. Also it comes with a free textbook which is a plus point. I think its time to merge this pull request