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Convex OptimizationCovers an overview of convex optimization, affine sets, polyhedra, ellipsoids, and convex functions.
Supporting hyperplanesCovers supporting hyperplanes for approximating functions' graphs in different dimensions using hyperplanes and linear approximations.
Supporting HyperplanesExplores supporting hyperplanes for approximating function graphs in higher dimensions through normal vectors and linear approximations.
Implicit Function TheoremExplores the Implicit Function Theorem, supporting hyperplanes, local extrema, and higher-order derivatives, concluding with the classification of stationary points.
Linear Models: ContinuedExplores linear models, logistic regression, gradient descent, and multi-class logistic regression with practical applications and examples.