Extension of Linear Transformations

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Explores the Schrödinger equation in quantum mechanics, emphasizing conservation of probability and numerical schemes.

Covers the application of linear algebra concepts to Quantum Mechanics, including spectral theorem and Brillouin zone.

Explores the Fourier Transform inversion formula and its applications in signal processing.

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

Explores visualizing the Fourth Dimension and introduces vector spaces, linear applications, and transformations.

Explores changing bases in vector spaces and matrix representation of linear transformations.

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