Mathematics in chemistry: indeterminate forms and their meaning

Autor:	Rita Castro, Margarida F. B. Silva, Manuel A. P. Segurado
Rok vydání:	2011
Předmět:	Mathematics (miscellaneous) L'Hôpital's rule Process (engineering) Formalism (philosophy) Applied Mathematics Calculus Language of mathematics Meaning (existential) Chemistry (relationship) Indeterminate Indeterminate form Education Mathematics
Zdroj:	International Journal of Mathematical Education in Science and Technology. 42:664-679
ISSN:	1464-5211 0020-739X
DOI:	10.1080/0020739x.2010.550945
Popis:	The mathematical language and its tools are complementary to the formalism in chemistry, in particular at an advanced level. It is thus crucial, for its understanding, that students acquire a solid knowledge in Calculus and that they know how to apply it. The frequent occurrence of indeterminate forms in multiple areas, particularly in Physical Chemistry, justifies the need to properly understand the limiting process in such cases. This article emphasizes the importance of the L’Hopital's rule as a practical tool, although often neglected, to obtain the more common indeterminate limits, through the use of some specific examples as the radioactive decay, spectrophotometric error, Planck's radiation law, second-order kinetics, or consecutive reactions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ee0a1bf3a6286ceac216a6d8a20a8e83 https://doi.org/10.1080/0020739x.2010.550945 Zobrazit plný text záznamu