Taylor Series: Development and Applications

Related lectures (31)

Page 3 of 4

Discusses optimization techniques, focusing on local and global extrema in functions.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Explores the conditions for local extrema of functions in several variables, including critical points and the Hessian matrix.

Explores the theory and application of Taylor polynomials for function approximation and limit calculations.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

Explains how to find local extrema of functions using derivatives and critical points.

Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.