Ehrenfest TheoremExplores the Ehrenfest Theorem, connecting quantum and classical mechanics through expectation values and harmonic oscillator dynamics.
Spectral Theorem RecapRevisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Eigenvalues and EigenvectorsExplores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.
Diagonalization of MatricesExplores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.