Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Cayley-Hamilton TheoremCovers the Cayley-Hamilton Theorem, stating that for a linear operator on a vector space, its characteristic polynomial satisfies its own equation.
Frequency Response of LTI SystemsExplores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.
