Advanced Analysis I - Taylor's Formula Corollary

Related lectures (27)

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Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Explores approximating functions with Taylor series, showcasing step-by-step calculations and practical applications.

Covers the Taylor formula and limit development for functions with multiple derivatives.

Explores Taylor polynomials, including order, development, limits, and algebraic operations.

Explores the theory and application of Taylor polynomials for function approximation and limit calculations.

Introduces higher derivatives and the Taylor development, illustrating examples and discussing the uniqueness of the Taylor polynomial.

Covers the concept of developing limited functions and includes physical examples.

Covers limited order 1 and 2 development, focusing on linearity and polynomial approximation.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Covers implicit functions, Taylor polynomials, and tangent equations.