Lectures related to Eigenvalue problem: Eigenbasis, Spectral theorem

Covers thin pressure vessels, differential geometry of surfaces, and plate buckling theories.

Introduces Singular Value Decomposition (SVD) in linear algebra, covering matrix factorization and properties with practical examples.

Covers linear transformations, change of bases, and diagonalization of matrices.

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.