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  • Thursday, December 3, 2020
  • 3:45 PM–4:45 PM

Dr. Christina Osborne, will be giving a lecture at the Mathematics & Statistics Colloquium on Thursday, December 3 at 3:40 pm. Her talk will be entitled “Old and New Chain Rules.”

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.”

One 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.  

 To obtain instructions for joining this virtual meeting, contact Nathan Sunukjian at nss9@calvin.edu.

December 2020
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