Step 1. introduction to mathematical tool
Step 2. Application of tool that requires mastery
Step 3. Formal theory of how tool is applied to step 2
@D_Blakely Yikes, that doesn't sound like a good setup. I had a similar situation in my undergrad where I was learning electricity and magnetism. Knowing vector calculus makes this topic much more understandable, but my calculus class wasn't getting to vector calc until later in the semester.
So I learned vector calc two different ways in two different classes. The physics course was Step 2, and the math course was Step 3, a few months later.
At least everything made sense before final exams
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