[simonbyrne]

He did elsewhere suggest teaching calculus by Big O notation: http://www.ams.org/notices/199806/commentary.pdf

I would be excited to see someone try that.

[bordercases]

UPenn's Calculus I+II courses with Robert Ghrist uses this sort of notation right at the beginning (it takes the Talyor Polynomial as the natural starting point, rather than derivatives, with knocking off terms of the summation involves factoring them out into the O-notation block).

[jonsen]

I found his original and not abbreviated version

https://www-cs-staff.stanford.edu/~knuth/calc

Now, how do I TeXify it on an iPad?

[svat]

I've TeXed it a while ago; scroll down here: https://shreevatsa.wordpress.com/2014/03/13/big-o-notation-a...