Gradient — Study Resources & PYQs

Gradient and its physical significance.

Study resources

Gradient - Khan Academy (by Grant Sanderson of 3Blue1Brown) (Article) — Explains why the gradient points along steepest increase and how it is built from the del operator. Start here before divergence and curl.
Physical Interpretation of grad, curl, div - University of Alberta (Article) — A concise, exam-friendly writeup of what the gradient physically means. Good source for the 'physical significance' part of the question.
AskFilo - Del Operator, Gradient, Divergence, Curl (Solved Problems) (Article) — Explains the del/nabla operator and derives gradient, divergence and curl with solved examples (finding div/curl of a vector field).
Medium - Gradient, Divergence, Curl: Electromagnetics (Part 1) (Article) — Clear conceptual article explaining the physical meaning of gradient, divergence and curl in the context of electromagnetics.
Lehman College - Lecture 5: Vector Operators: Grad, Div and Curl (PDF) (Article) — University lecture notes (PDF) deriving grad, div, curl in Cartesian coordinates with worked examples.
Partial derivatives, gradient, divergence, curl - Khan Academy (Video) — Sequential videos working through the actual computation of grad, div and curl. Watch these if you can state the definitions but cannot compute them quickly.

APPLIED ENGINEERING PHYSICS — BPHT11 · Government College of Engineering and Technology, Jammu
ADVANCED ENGINEERING PHYSICS — BPHT21 · Government College of Engineering and Technology, Jammu
APPLIED ENGINEERING PHYSICS — BPHT11 · Government College of Engineering and Technology, Jammu
Advanced Engineering Physics — BPHT21 · Government College of Engineering and Technology, Jammu
Applied Engineering Physics — BST1103 · Government College of Engineering and Technology, Jammu
Advanced Engineering Physics — BST1203 · Government College of Engineering and Technology, Jammu