Parts and Vectors in CoordinatesCovers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.
Vibration of Diatomic MoleculesExplores the vibration of diatomic AB molecules and Fourier series, emphasizing equations of motion and Dirichlet's theorem.
Spectral Theorem: SecondCovers the spectral theorem, focusing on the second part and orthonormal sequences in a separable Hilbert space.
Fourier Series: Complex CaseCovers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.
Convergence Rate Theorem: Part 1Delves into the proof of the convergence rate theorem for an ergodic Markov chain, emphasizing eigenvalues and detailed balance properties.
