Signals & Systems I: Cross-Correlation and Convolution

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Discusses weak-sense stationarity in continuous-time stochastic processes and the calculation of autocorrelation and cross-correlation functions.

Explores linear estimation and prediction in AR parametric models, focusing on Yule Walker equations and Wiener filter.

Explores symmetry relations, modulation techniques, Fourier transform properties, and signal processing effects.

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Explores vector geometry basics, historical perspectives, and practical applications.

Covers the decomposition of vectors into scalar and vector products.

Explores the properties and applications of orthogonal matrices in linear algebra, focusing on orthogonality and projections.

Covers vector norms, orthonormal systems, direction, and velocity in physics.

Explores the fundamental principles of quantum physics, including quantum states, unitary transformations, Hilbert spaces, and measurement processes.

Explores rotation in two dimensions, equilibrium conditions, angular momentum theorem, and Newton's laws.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Covers vector equations, linear combinations, and the span of vectors.

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