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Vector Calculus & Partial Differential Equations (1/2)Mathematics 2025. 2. 11. 17:37
https://www.youtube.com/playlist?list=PLMrJAkhIeNNQromC4WswpU1krLOq5Ro6S
Vector Calculus & Partial Differential Equations
Div, Grad and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient and Curl]
The Gradient Operator in Vector Calculus: Directions of Fastest Change & the Directional Derivative
The Divergence of a Vector Field: Sources and Sinks
The Curl of a Vector Field: Measuring Rotation
★ Gauss's Divergence Theorem ★
★ The Continuity Equation: A PDE for Mass Conservation, from Gauss's Divergence Theorem ★
★ Stokes' Theorem and Green's Theorem ★
Are all vector fields the gradient of a potential? ... and the Helmholtz Decomposition
★ Laplace's Equation and Potential Flow ★
★ Potential Flow Part2: Details and Examples ★
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