With computer algebra systems like Mathematica, Maple, or sympy , it is all too tempting to use some single powerful command to solve a difficult problem. But without necessary care, …

Most of us know the solution formula of the quadratic equation

by heart. But do you know the formula for the cubic equation by heart? No? Nor do I but …

Today’s Problem

Using only Python, solve the 2D Laplace equation

on a semi-infinite rectangular domain

with the boundary conditions

and

as well as

Solution with Python

The solution uses the …

In many applications, we are faced with functions that are defined piecewise. For instance, consider the function

sympy offers an easy and intuitive way to work with functions like that: …