Lectures related to Taylor Polynomials: Special Cases

Explores direct methods for solving linear equations, LU factorization, Gass elimination, and computational complexity.

Covers higher derivatives, local extrema, and the application of Rolle's and Mean Value Theorems.

Covers the concept of distributions with compact support and their interpolation spaces.

Explores Fourier and Laplace transforms in materials science, focusing on light-matter interaction, diffraction patterns, and crystal properties.