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RE: Can we trust peer-reviewed papers?
I am one of the few people that I know that knows what calculus is for and uses it. For everyone else, especially engineers, calculus is a waste of time. The formulas have already been worked out.
However, my statement is extremely meta.
If you aren't taught calculus, then the entire math is in danger of collapsing upon itself. Calculus adds a self reinforcing loop to the structure. So that any person who is decent at math doesn't immediately find its edges and start to ask the teacher embarrassing questions.
I don't even know what to tell you.
Calculus is very important for any science feild.