Engineering Math: Vector Calculus and Partial Differential Equations
8 of 23 videos summarized
Vector calculus is the language we use to describe physics, conservation laws, and partial differential equations. This playlist begins with basic vector calculus (divergence, gradient, curl) and quickly develops many of the most fundamental partial differential equations in physics.
16:36Are all vector fields the gradient of a potential? ... and the Helmholtz Decomposition
May 27, 2022
26:15Potential Flow Part 2: Details and Examples
May 23, 2022
23:54Stokes' Theorem and Green's Theorem
May 20, 2022
19:01The Continuity Equation: A PDE for Mass Conservation, from Gauss's Divergence Theorem
May 13, 2022
26:49The Curl of a Vector Field: Measuring Rotation
Apr 21, 2022
20:57The Divergence of a Vector Field: Sources and Sinks
Apr 15, 2022
15:04The Gradient Operator in Vector Calculus: Directions of Fastest Change & the Directional Derivative
Apr 7, 2022
15:53Vector Calculus and Partial Differential Equations: Big Picture Overview
Mar 25, 2022