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- W2059932408 abstract "In the teaching of calculus, some misunderstandings can arise, which can be alleviated by slightly deeper investigation, to be shared with students as occasions demand. In this note, four such explorations are described: (1) the Fundamental Theorem of Calculus is not stated and then proven, but calculated. (2) The integral calculus could conceivably be developed before the diff erential calculus. (3) The Taylor series about any point for any ‘good’ function is not stated and then proven, but calculated from scratch. (4) The graphing of the functions b⁁x and x⁁b (for any given b > 0) on the same set of axes is done more accurately, and more interestingly." @default.
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- W2059932408 date "2001-11-01" @default.
- W2059932408 modified "2023-09-25" @default.
- W2059932408 title "Four calculus qualms" @default.
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- W2059932408 doi "https://doi.org/10.1080/002073901317147889" @default.
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