The lecturer is saying
And my goal is for you to come away feeling like you could have invented calculus yourself. That is, cover all
feeling is countable.
So, is "come away a feeling" more appropriate?
English Language Learners Stack Exchange is a question and answer site for speakers of other languages learning English. It only takes a minute to sign up.
Sign up to join this communityIn this particular context, "come away" means "Be left with a specified feeling, impression, or result after doing something". See also Lexico, Cambridge and others. Cambridge uses
I came away empty-handed.
as an example.
So "feeling" is not a noun, but an adjective. You will be feeling like something.