I did not study maths at uni, I was far too busy with music - but recently I’ve been looking into maths - one book “Bridging The Gap to University Mathematics” has this hilarious intro to a chapter:

18.1 Loose Ends or New Beginnings?

This chapter might seem a little bit strange.We’re going to start out by taking a

look at some more complicated mechanics problems, and we’re going to finish by

looking at curves. If these two ideas seem totally unrelated to you, don’t despair.

Before university, “mechanics”-style problems and “pure”-style problems are

kept rather distant, but at degree level the two are much more integrated.**What**

**a university mathematician would call “applied maths,” you would probably**

**consider to be pure; and what a university mathematician would call “pure**

**maths” you would probably consider to be insanity.**