Hacker News with Generative AI: Calculus

Matrix Calculus (For Machine Learning and Beyond) (arxiv.org)
This course, intended for undergraduates familiar with elementary calculus and linear algebra, introduces the extension of differential calculus to functions on more general vector spaces, such as functions that take as input a matrix and return a matrix inverse or factorization, derivatives of ODE solutions, and even stochastic derivatives of random functions.
Definite clause grammars and symbolic differentiation (bitsandtheorems.com)
Let's talk about calculus. It's an extremely important field for almost all branches of science, and you've probably seen at least some aspects of it during high school or possible further education. Applications range from physics, chemistry, and electrical engineering to finance, medicine, meteorology, and much more.
Multiplicative Infinitesimals (github.com/Ericson2314)
This goes with Multiplicative Calculus, but where as that is mostly summarizing others work, this is original as far as I know, and so I split it out.
Derivative at a Discontinuity (alok.github.io)
The title may seem like a contradiction. How can you differentiate something that’s not even continuous?
Heaviside’s Operator Calculus (2007) (deadreckonings.com)
An operational calculus converts derivatives and integrals to operators that act on functions, and by doing so ordinary and partial linear differential equations can be reduced to purely algebraic equations that are much easier to solve.
Ask HN: Can calculus be taught without differentiating or integrating by hand? (ycombinator.com)
Maybe the focus could be on solving Calculus problems with the help of a symbolic algebra system instead?
Calculus for Beginners and Artists (math.mit.edu)
Notes on Taylor and Maclaurin Series (thegreenplace.net)
The algebra and calculus of algebraic data types (2015) (recurse.com)
What is e to the Power of d/dx? – Shift Operator (youtube.com)
Calculus with Julia (jverzani.github.io)
The derivative of a number (2014) (rjlipton.com)