Taylor's Formula: Developments and Applications

Related lectures (31)

Page 1 of 4

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

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

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

Explores Taylor's formula, uniqueness of Taylor series, Mean Value Theorem, inflection points, and convexity.

Covers the theory of polynomials, including definitions, properties, and applications.

Explores digital derivation, function evaluation, and polynomial approximations for accurate measurements and evaluations.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

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

Explores the implicit function theorem and Taylor polynomials in differential equations.

Introduces calculus concepts, focusing on Taylor series and integrals, including their applications and significance in mathematical analysis.