Taylor Series: Basics

Related lectures (31)

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Explores Taylor approximation of functions using polynomials and matrices for quadratic approximation.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Presents the solution to finding the second-order Taylor polynomial of a function.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Explores digital derivation, function evaluation, and polynomial approximations for accurate measurements and evaluations.

Introduces Taylor polynomials for function approximation, starting with linear and quadratic forms and then generalizing to higher orders.

Covers Taylor polynomials for function approximation and their properties, with examples.

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explores Taylor's formula, uniqueness of Taylor series, Mean Value Theorem, inflection points, and convexity.