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Results tagged with calculus
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user 222
For questions applying to calculus courses. Topics include derivatives, integrals, limits, continuity, series, application questions, etc.
0
votes
Explaining the symbols in definite and indefinite integrals
In a Riemann sum, we add up a bunch of skinny rectangles to get an area. For convenience, we split up the domain into equal parts of length $\Delta x$. The height of each rectangle is determined by ev …
- 596
10
votes
1
answer
709
views
Language to Distinguish Between Variables and Arbitrary Constants
Today in second semester calculus, I found myself stumbling a bit to provide a natural-sounding explanation for all the letters involved in the expression
$$
\lim_{t \rightarrow \infty} \int_1^t \frac{ … While this viewpoint is helpful to me, I wonder if it is still too abstract for a typical Calculus student. …
- 596
22
votes
8
answers
967
views
Non-Rigorous Use of Differentials
By "can one be led astray", I mean I am concerned about other applications in Calculus or Physics where a perfectly sensible-looking manipulation of differentials (like the one in my example) leads one …
- 596