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Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Covers the norm of a matrix, operator, singular values, and unitary matrices in linear algebra.
Explores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.
Covers multivariable integral calculus, including rectangular cuboids, subdivisions, Douboux sums, Fubini's Theorem, and integration over bounded sets.
