Lectures related to Taylor's Formula: Interpretation and Applications

Functions and Derivatives

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

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Taylor Polynomials: Order 2

Covers the development of Taylor polynomials of order 2, including examples and calculations.

Taylor Polynomials: Orders 1 and 2

Explores Taylor polynomials of orders 1 and 2 for linear function approximation around a point.

Linear Approximations: Development Order 2

Covers linear approximations up to order 2 and the Hessian matrix.

Taylor Polynomials: Definition and Approximation

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

Taylor Polynomials and Remainders

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

Taylor Polynomials: Correction Exam 2018

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

Taylor Polynomials and Approximations

Explores Taylor polynomials and approximations for various functions, emphasizing derivative equality and polynomial development around a specific point.

Development Limit: Order 1 and 2

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