Taylor Expansion: Derivation and Application

Related lectures (29)

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Explores Taylor polynomials, remainders, and various function expansions around a point.

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

Illustrates the calculation of a fifth-order Taylor expansion around zero for a given function.

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.

Covers equilibrium in physics and Taylor expansion with exercises.

Demonstrates efficient limit calculations using Taylor expansions and basic algebraic operations.

Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.

Covers the computation of Taylor expansions composition up to order 4.

Explores Taylor series expansions and Riemann integrals, including limits, convergence, subdivisions, and sums.