Lectures related to Laplacian in Polar Coordinates

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.

Covers linear applications, matrices, transformations, and the principle of superposition.

Covers linear homogeneous second order differential equations and their solutions, including the concept of the Wronskian.

Covers linear independence, bases, change of basis, and vector representation.