Derivability and Continuity

Related lectures (27)

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Covers parametrization by arc length for representing curves with continuous differentiability.

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Covers functions, including even and odd functions, periodicity, and function operations.

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Covers cyclically monotone sets in optimal transport theory and their properties.

Covers the concept and calculation of directional derivatives in multivariable calculus.

Explores finding the equation of the tangent line to a function's graph at a point.

Covers the theory and applications of Green's function in solving differential equations.

Explores the theorems of continuity and derivative numbers, including strict monotonicity and the Newton ratio.