Lectures related to Taylor Polynomials: Orders 1 and 2

Covers Taylor polynomials for approximation and indefinite integrals of elementary functions.

Covers the calculation of Taylor polynomials and error bounds for function approximation.

Explores Taylor polynomials for multivariable functions and their applications in function approximation.

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

Covers the Taylor polynomial in two variables and the concept of extrema in functions of several variables.

Explores Taylor polynomials, odd orders, simplification, residues, and special cases of zero polynomials.

Covers examples of Taylor polynomials and discusses their convergence when approximating functions.

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