Learning

Gradient, Divergence, and Curl: Differential Operators on Vector Fields

Multivariable Functions and Partial Derivatives → Applications in Physics and Engineering

This learning path provides a systematic development of the three core differential operators of vector calculus—gradient, divergence, and curl—from their foundations in multivariable calculus to their applications in physics and engineering. It emphasizes the geometric and physical interpretations of these operators, their interrelations, and the role of the Laplace operator, culminating in an understanding of fundamental theorems and their use in modeling physical phenomena.