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Explores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.
Explores the concept of martingales and their relation to Brownian motion through symmetric simple random walks and discusses the potential positive outcomes from the current crisis.
Covers Jordan-measurable sets, Riemann-integrability, and function continuity on compact sets.
Explores the Intermediate Value Theorem, continuous functions, and the verification of their continuity in various examples.
Explains the concept of approaching a point to define the limit of a function.
