partial differential

Field Operators: Grad, Div, and Curl

Menu (linked Index) Field Operators: Grad, Div, and Curl Last Update: August 18, 2025 Introduction Definitions Graphing a Vector Field Differentiation Basics The Gradient Operator Divergence Operator The Laplacian Direction of Axis of Rotation The Curl Operator Excellent Educational Video References Appendix 1: Uses of the Derivative Introduction This post is about three fundamental operators […]

Field Operators: Grad, Div, and Curl Read More »

The Derivative

Menu (linked Index) The Derivative Last Update: October 18, 2025  Introduction The Derivative Derivative Rules Derivatives of Some Useful Functions Ordinary Derivative Velocity and Acceleration As Derivatives Partial Derivative Introduction This article is a high level introduction to the mathematical tool called differentiation.  At its core, differentiation is the process of finding the instantaneous rate

The Derivative Read More »