7 citations · 9 across the 4 of their papers we have counts for
4 papers
Total and Partial Differentials as Algebraically Manipulable Entities
Maria Isabelle Fite, Jonathan Bartlett
Differential operators usually result in derivatives expressed as a ratio of differentials. For all but the simplest derivatives, these ratios are typically not algebraically manip…
Simplifying and Refactoring Introductory Calculus
Jonathan Bartlett
First year calculus is often taught in a way that is very burdensome to the student. Students have to memorize a diversity of processes for essentially performing the same task. Ho…
Hyperreal Numbers for Infinite Divergent Series
Jonathan Bartlett, Logan Gaastra, David Nemati
Treating divergent series properly has been an ongoing issue in mathematics. However, many of the problems in divergent series stem from the fact that divergent series were discove…
Extending the Algebraic Manipulability of Differentials
Jonathan Bartlett, Asatur Zh. Khurshudyan
Treating differentials as independent algebraic units have a long history of use and abuse. It is generally considered problematic to treat the derivative as a fraction of differen…