Speaker:
Peter Devlin, Manhattan College, Class of 1999
Title:
Degrees of Differentiability
Abstract:
A function f is said to have a degree of differentiability of b if f^a is differentiable for every a > b, but not for any a < b. The function f^b may or may not be differentiable. A study of such functions reveals many interesting characteristics. Several specific functions are created to emphasize some of these properties. Also, the question of how The Fundamental Theorem of Calculus applies to functions with a degree of differentiability is explored.
Audience:
Peter Devlin is a student at Manhattan College. His talk will be accessible to undergraduates.
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