Linear Algebra: Lecture NotesCovers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.
Cayley-Hamilton TheoremCovers the Cayley-Hamilton Theorem, stating that for a linear operator on a vector space, its characteristic polynomial satisfies its own equation.
Distributional DerivativesExplores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.
Interpolation SpacesExplores interpolation spaces between Banach spaces and real interpolation spaces.