Approximation of Functions by Taylor Polynomials

Related lectures (26)

Page 1 of 3

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

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

Covers Taylor polynomials and their role in approximating functions in multiple variables.

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

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

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

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

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

Explores Taylor approximation for function approximation and error control.