Isometries in Euclidean SpacesExplores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Multivariable ControlCovers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.
Galilean TransformationsExplains Galilean transformations, inertial reference frames, and Newton's first law of motion in classical mechanics.
Lorentz-Minkowski SpacetimeCovers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.
Special RelativityCovers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.
Gaussian Random VectorsExplores Gaussian vectors, moment generating functions, independence, density functions, affine transformations, and quadratic forms.
Galilean TransformationsExplores Galilean relativity, transformations between inertial coordinate systems, synchronized clocks, and visualizing motion in four-dimensional space-time.
