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DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Dr. Christina Osborne, Assistant Professor of Mathematics at Cedarville University, will be giving the lecture at the Mathematics & Statistics Colloquium next week Thursday, December 3 at 3:40 pm. Her talk will be entitled “Old and New Chain Rules.”=0D=0AOne of the first tools we learn in a calculus class is the chain rule, which tells us how to compute the derivative of a composition of functions. In the 1800s Faa di Bruno proved a formula for taking the nth derivative of a composition of functions. More recently, in 2005 Huang, Marcantognini, and Young provided a new formula for the derivative of a composition of functions by defining a new tool: the nth directional derivative. The nth directional derivative is inspired by the directional derivative that one encounters in multivariable calculus. Furthermore, the nth directional derivative has a chain rule of its own. Throughout this talk we will explore the construction and connections of these chain rules. =0D=0A To obtain instructions for joining this virtual meeting, contact Nathan Sunukjian at nss9@calvin.edu.
SUMMARY;ENCODING=QUOTED-PRINTABLE:Math Department Colloquium: Old and New Chain Rules
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