Development of Calculus Solver software which provides solving hints and answer steps

Abstract

We develop a python-based software which provides hints and answers for freshmen-level calculus interactively. Our solver covers multi-variable differentiations, Taylor expansions, graph drawings, and single-variable definite/indefinite integrations. A user can input a problem using web interface, and the output comes as a LaTeX-typed pdf. We find that differentiation processes can be coded with four tasks, while integration requires more. In order to prepare "readable" answers, we have to adjust output expressions. Although this software cannot handle some problems, the provided answers pass tests as the grade B to D, so that it helps freshmen for their self-education.