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3b) Another possibility would be to teach physics and the relevant math
topics concurrently. This has advantages and disadvantages. One advantage
is that it is easier to teach math if the students can see immediate
physical applications. The corresponding disadvantage is that it might put
too much emphasis on applied math, to the detriment of the abstract and
rigorous thinking that is the hallmark of real math. Math and physics are
not the same. Physics is validated by experiment. Math is validated by
rigor.