Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins by stating a naive question from a student in a paper by Larson (1974) and establishes, for polynomials and exponential functions, that they can be deformed into their derivative using the μ-th order fractional derivatives for 0<μ<1. Through the power of Excel we illustrate the continuous deformations dynamically through conditional formatting. Some applications are discussed and a connection made to mathematics education.
- How nice! Actually, I thought it might be you when I heard your name, Raymond (@MathEdnet)! We should talk tomorrow :-) 1 month ago
- Enjoyed rehearsing rehearsals at #Novemberkonferansen with @ekazemi today! Choral counting has a lot to it! 4 months ago
- J. Skott: «Generic example of generic proofs is Gauss: 1+2+3...+100=?» #Novemberkonferansen #playonwords 4 months ago
- Next up at #Novemberkonferansen is Jeppe Skott, who talks about Goldilocks, mathematical reasoning and proof. Nice combination :-) 4 months ago
- Listening to a very nice lecture on the importance of maths by Chris Budd ( people.bath.ac.uk/mascjb/) at #Novemberkonferansen 4 months ago