I just noticed that the textbook lacks an example relevant to this exercise group, which is a type of problem we frequently assess: Given a piecewise-defined function, we want to know if it is ...

This is the second post (here’s the first one) about an approach to introducing the derivative to calculus students that is counter to what I’ve seen in textbooks and other traditional treatments of ...

The pursuit of differentiability in functions is a cornerstone of calculus, demanding a delicate balance of smoothness and continuity. When tasked with finding specific parameters that ensure a ...

Graphing a piecewise defined function might seem daunting at first, but breaking down the process into manageable steps can make it significantly easier. A piecewise function, as the name suggests, is ...

Prerequisites: Credit for MATH 2312 with a grade of C- or higher, or a satisfactory score on a placement examination. Course Description: Calculus of single variable functions, limits, continuity, ...

In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

This is a PyTorch implementation of my tensorflow repository and is more complete due to the flexibility of PyTorch. Lagrange Polynomial, Piecewise Lagrange Polynomial, Discontinuous Piecewise ...