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I had a friend who did do it in Y1 UG, I'm not suggesting you didn't either. It threw me when they mentioned it, then I realised what they meant (the volume element) and it made sense again. I think it's down to who teaches that particular topic as to whether they get diverted by the Jacobian.
Personally, if I was teaching it and was just going to use the Jacobian determinant for the volume element then I wouldn't introduce the terminology. I don't think it would add depth, just jargon and confusion.
hamrack-
We did 1D in maths IB. Definitely any course on vector calculus (generally first or second year [scotland] in a maths degree) will need to introduce Jacobians (and not just det J for volume element scaling) since grad transforms with J^{-T}.
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Oh I didn't think you were, just had to recall my memory. Maths wasn't my strong point so I tried to forget, and now it's mostly gone!
wence
skinny
I thought we did it as a level.
We for sure did it first year engineering undergrad.